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ISSN: 2146-7374<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong><strong>New</strong> <strong>Horizons</strong> <strong>in</strong>EducationVolume 3 Issue 1January 2013Pr<strong>of</strong>. Dr. Aytek<strong>in</strong> İşmanEditor-<strong>in</strong>-ChiefPr<strong>of</strong>. Dr. Cem BİROLEditorAssoc. Pr<strong>of</strong>. Dr. Fatoş SİLMANAssoc. Pr<strong>of</strong>. Dr. Fahriye ALTINAY AKSALAssoc. Pr<strong>of</strong>. Dr. Zehra ALTINAY GAZİAssociate Editorswww.tojned.net01.01.2013


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Message from the EditorsHappy new year to all colleagues and researchers. Up to 2013, <strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong><strong>in</strong> Education (TOJNED) has a rich nature by cover<strong>in</strong>g <strong>in</strong>terdiscipl<strong>in</strong>ary researches. It has a missionto underl<strong>in</strong>e different practices and researches <strong>in</strong> different methodologies. Selected papersbecome a mirror for the field <strong>of</strong> education by the efforts <strong>of</strong> academicians and researches. In thisrespect, I would like to thank to editorial board, reviewers and the researchers for their valuablecontributions to the journal and this issue.Pr<strong>of</strong>. Dr. Aytek<strong>in</strong> İŞMANEditor <strong>in</strong> ChiefIt is a great pleasure for me as an editor <strong>of</strong> <strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education(TOJNED) to publish first issue <strong>of</strong> 2013. I would like to wish happy new year to all authors andassociate editors and thank to all <strong>of</strong> them for their contributions to the current issue <strong>of</strong> TOJNED.Papers <strong>in</strong> this issue support the development <strong>of</strong> the journal and contributes rich and densepractices to the academic agenda. By the editorial team <strong>of</strong> Turkish <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong><strong>in</strong> Education (TOJNED), it is great pleasure to welcome your orig<strong>in</strong>al and valuable researchers. Allauthors can submit their manuscripts totojnedjournal@gmail.com for the follow<strong>in</strong>g issues.Pr<strong>of</strong>. Dr. Cem BİROLEdiorwww.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Editor-<strong>in</strong>-ChiefPr<strong>of</strong>. Dr. Aytek<strong>in</strong> İŞMAN - Sakarya University, TurkeyEditorPr<strong>of</strong>. Dr. Cem BİROL - Eastern Mediterranean University, TRNCAssociate EditorsAssoc. Pr<strong>of</strong>. Dr. Fatoş SİLMAN - Near East University, TRNCAssist. Pr<strong>of</strong>. Dr. Fahriye ALTINAY AKSAL - Near East University, TRNCAssist. Pr<strong>of</strong>. Dr. Zehra ALTINAY GAZİ - Near East University, TRNCEditorial BoardAhmet MAHIROGLU, Gazi University, TurkeyAhmet PEHLİVAN - International Cyprus University,TRNCAnto<strong>in</strong>ette MUNTJEWERFF, University <strong>of</strong>Amsterdam, NetherlandsArif ALTUN, Hacettepe University, TurkeyArv<strong>in</strong>d SINGHAL, University <strong>of</strong> Texas, United StatesAytek<strong>in</strong> ISMAN, Sakarya University, TurkeyBrent G. WILSON, University <strong>of</strong> Colorado at Denver,United StatesBuket AKKOYUNLU, Hacettepe University, TurkeyCevat CELEP, Kocaeli University, TurkeyCharlotte GUNAWARDENA, University <strong>of</strong> <strong>New</strong>Mexico, United StatesColleen SEXTON, Governor State University, UnitedStatesCoskun BAYRAK, Anadolu University, TurkeyDon FLOURNOY, Ohio University, United StatesEnver Tahir RIZA, Dokuz Eylul University, TurkeyErdal ZORBA, Gazi University, TurkeyFerhan ODABASI, Anadolu University, TurkeyFranc<strong>in</strong>e Shuchat SHAW, <strong>New</strong> York University,United StatesGianni Viardo VERCELLI, University <strong>of</strong> Genova, ItalyGiovanni ADORNI, University <strong>of</strong> Genova, ItalyGilbert Mbotho MASITSA, Universirty <strong>of</strong> <strong>The</strong> FreeState - South AfricaGregory ALEXANDER, Universirty <strong>of</strong> <strong>The</strong> Free State -South AfricaGurhan CAN, Anadolu University, TurkeyHalil Ibrahim YALIN, Gazi University, TurkeyHeli RUOKAMO, University <strong>of</strong> Lapland, F<strong>in</strong>landHusey<strong>in</strong> BASAR, Hacettepe University, TurkeyJerry WILLIS, Manhattanville College, United StatesMariam MANJGALADZE, Institute <strong>of</strong> L<strong>in</strong>guistics,GeorgiaMar<strong>in</strong>a Stock MCISAAC, Arizona State University,United StatesMart<strong>in</strong> STEIN, Westfalische Wilhems University,GermanyKenan OLGUN, Sakarya University, TurkeyMehmet CAGLAR, Near East University, TRNCMustafa KALKAN, Dokuz Eylul Universiy, TurkeyNerguz BULUT SERIN, International CyprusUniversity, TRNCNilay BUMEN, Ege University, TurkeyOguz SERIN, International Cyprus University, TRNCSelahhatt<strong>in</strong> GELBAL, Hacettepe University, TurkeySelahatt<strong>in</strong> GÖNEN, Dicle University, TurkeyTeressa FRANKLIN, Ohio University, United StatesAaron DAVENPORT, Grand View College, UnitedStatesAdem UZUN, Uludag University, TurkeyAhmet AKIN, Sakarya University, TurkeyAhmet ESKİCUMALI, Sakarya University, TurkeyAli Sidki AGAZADE, Eastern MediterraneanUniversity, TRNCAndreja Istenic STARCIC, University <strong>of</strong> Primonska,SlovenijaAntonis LIONARAKIS, Hellenic Open University,GreeceBayram ÇETİN, Mustafa Kemal University, TurkeyCüneyt BİRKÖK, Sakarya University, TurkeyDale HAVILL, Dh<strong>of</strong>ar University, OmanElnaz ZAHED, University <strong>of</strong> Waterloo, UAEFahriye ALTINAY AKSAL, Eastern MediterraneanUniversity, TRNCFatime BALKAN KIYICI, Sakarya University, TurkeyGulriz IMER, Mers<strong>in</strong> University, TurkeyHasan Basri GÜNDÜZ, Sakarya University, TurkeyHüsey<strong>in</strong> ÇALIŞKAN, Sakarya University, TurkeyHj. Mohd Arif Hj. ISMAIL, National University <strong>of</strong>Malaysia, MalaysiaHusey<strong>in</strong> YARATAN, Eastern MediterraneanUniversity, TRNCJagannath DANGE, Kuvempu University, IndiaJames C. HOLSTE, Texas A&M University at Qatar,QatarKakha SHENGELIA, Caucasus University, GeorgiaManoj Kumar SAXENA, M M College <strong>of</strong> Education,www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Mehmet Ali KISAKUREK, Ankara University, TurkeyMehmet Durdu KARSLI, Canakkale 18 MartUniversity, TurkeyMiguel j. ESCALA, Ins. Tech. de Santa Dom<strong>in</strong>go,Dom<strong>in</strong>ican RepublicMonte CASSIM, Ritsumeikan Asi Pacific University,JapanMufit KOMLEKSIZ, Ege University, TurkeyMurat BARKAN, Yasar University, TurkeyMustafa SAGLAM, Anadolu University, TurkeyNabi Bux JUMANI, Allama Iqbal Open University,PakistanOzcan DEMIREL, Hacettepe University, TurkeyPetek ASKAR, Hacettepe University, TurkeyRauf YILDIZ, Canakkale 18 Mart University, TurkeyRamazan ABACI, Sakarya University, TurkeySaedah SIRAJ, University <strong>of</strong> Malaya, MalaysiaSatilmis TEKINDAL, TurkeySefik YASAR, Anadolu University, TurkeySongul ALTINISIK, Abant Izzet Baysal University,TurkeyStefan AUFENANGER, University <strong>of</strong> Ma<strong>in</strong>z, GermanySuleyman DOGAN, Ege University, TurkeyŞ. Şule ERCETIN, Hacettepe University, TurkeyUlku KOYMEN, Girne American University, TRNCVahdett<strong>in</strong> SEVINC, Sakarya University, TurkeyYavuz AKPINAR, Bogazici University, TurkeyYuksel KAVAK, Hacettepe University, TurkeyAbdülkadir MASKAN, Dicle University, TurkeyCem BIROL, Eastern Mediterranean University,TRNCDanguole RUTKAUSKIENE, Kauno Tech. University,LithuaniaEric Zhi-Feng LIU, National Cenral University, TaiwanFatos SILMAN, Near East University, TRNCFiliz POLAT, <strong>The</strong> University <strong>of</strong> Hong Kong, Ch<strong>in</strong>aIman OSTA, Lebanese American Universiy, LebanonIndiaMehmet Ali DIKERDEM, Middlesex University, U.K.Mehmet ÖZDEMİR, Sakarya University, TurkeyMet<strong>in</strong> YAMAN, Gazi University, TurkeyM<strong>in</strong> JOU, National Taiwan Normal Uni., TaiwanMurat ISKENDER, Sakarya University, TurkeyMustafa BAYRAKCI, Sakarya University, TurkeyMustafa GAZI, Eastern Mediterranean University,TRNCMub<strong>in</strong> KIYICI, Sakarya University, TurkeyNeşe GÜLER, Sakarya University, TurkeyNilgun TOSUN, Trakya University, TurkeyNursen SUCSUZ, Trakya University, TurkeyOmer Faruk TUTKUN, Sakarya University, TurkeyOsman TİTREK, Sakarya University, TurkeyOzcan Erkan AKGUN, Sakarya University, TurkeyPamela EWELL, Central .College <strong>of</strong> IOWA, UnitedStatesPaul KGOBE, Centre <strong>of</strong> Edu. Pol. Dev., South AfricaPaul Serban AGACHI, Babes-Bolyai University,RomaniaPaula FITZGIBBON, University <strong>of</strong> Victoria, CanadaPsaltis IACOVOS, European University Cyprus,CyprusPartow IZADI, University <strong>of</strong> Lapland, F<strong>in</strong>landRıfat EFE, Dicle University, TurkeySeref TAN, Uludag University, TurkeyTam Shu SIM, University <strong>of</strong> Malaya, MalaysiaV<strong>in</strong>cent Ru-Chu SHIH, National P<strong>in</strong>gtung Univ. <strong>of</strong> Sci.& Tech., TaiwanVu Thi Thanh HOA, Oxfam Great Brita<strong>in</strong>, VietnamYuksel GUCLU, Sakarya University, TurkeyZehra ALTINAY GAZI, Near East University, TRNCwww.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table Of ContentsA CASE STUDY ON TEACHER INSTRUCTIONAL PRACTICES IN MATHEMATICAL MODELING 1Em<strong>in</strong>e Özdemir, Devrim ÜzelCRITICAL THINKING LEVEL OF BIOLOGY CLASSROOM SURVEY: CTLOBICS 15Atilla Çimer, Melih Timuç<strong>in</strong>, Mehmet KokoçEXPERIENCES OF FIRST DAY OF TEACHING 25Zeynep Akdağ, Çiğdem HaserGPSS INTERACTIVE LEARNING ENVIRONMENT 32Villarreal Gonzalo L., De Giusti Marisa R., Texier JoséGRAPHICAL DESIGN ELEMENTS THAT SHOULD BE CONSIDERED IN COMPUTER BASED INSTRUCTION 40Gamze Sarmaşık, Özden Işıktaş, M. Volkan CoşkunHAS ANYTHING CHANGED ABOUT THE TEACHERS AND THE TEACHING OF HIGH SCHOOLECONOMICS IN 20 YEARS?45Sudesh Mujumda, Curtis Price, Gregory P. Valent<strong>in</strong>eTHE INVESTIGATION OF THE LEARNING STYLES OF UNIVERSITY STUDENTS 53Serap ÖzbaşTHE RELATIONSHIP BETWEEN ELEMENTARY TEACHER CANDIDATES’ ATTITUDES TOWARDSPROBLEM BASED LEARNING AND PROBLEM SOLVING SKILLS59Mustafa Kahyaoğluwww.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1A Case Study on Teacher InstructionalPractices <strong>in</strong> Mathematical Model<strong>in</strong>gEm<strong>in</strong>e Özdemir[1], Devrim Üzel[2][1] Research Assistant, Department<strong>of</strong> Elementary MathematicsEducation, Educational Faculty <strong>of</strong>Necatibey, BalıkesirUniversity,eozdemir@balikesir.edu.tr[2] Assist.Pr<strong>of</strong>. Dr., Department <strong>of</strong>Elementary MathematicsEducation, Educational Faculty <strong>of</strong>Necatibey, Balıkesir University,duzel@balikesir.edu.trABSTRACT<strong>The</strong>re is <strong>in</strong> fact a tendency <strong>in</strong> several countries to <strong>in</strong>clude moremathematical model<strong>in</strong>g <strong>in</strong> curriculums. Mathematical curriculum <strong>in</strong>Turkey focuses on the pr<strong>in</strong>ciple <strong>of</strong> “every child can learn mathematics”.From this perspective; more importance is given to model<strong>in</strong>g from thesixth grade to eighth grade mathematical curriculum. Accord<strong>in</strong>gly,prospective mathematics teachers are required to be tra<strong>in</strong>ed forprepar<strong>in</strong>g teach<strong>in</strong>g environments appropriate for mathematicalmodel<strong>in</strong>g. In this context, 33 prospective mathematics teachers aretra<strong>in</strong>ed <strong>of</strong> mathematical model<strong>in</strong>g based teach<strong>in</strong>g. 17 <strong>of</strong> them areselected randomly for model<strong>in</strong>g based teach<strong>in</strong>g applications. Model<strong>in</strong>gbased teach<strong>in</strong>g carried out with model<strong>in</strong>g tasks developed by 17prospective mathematics teachers at the end <strong>of</strong> tra<strong>in</strong><strong>in</strong>g. This study is acase study <strong>of</strong> one <strong>of</strong> these 17 cases is selected for this study to providedescriptive <strong>in</strong>formation about <strong>in</strong>structional practices <strong>in</strong> mathematicalmodel<strong>in</strong>g. Model<strong>in</strong>g task is applied on randomly selected 38 8th gradestudents <strong>in</strong> a practic<strong>in</strong>g school. Both quantitative and qualitative datacollection tools are used. <strong>The</strong> study presents <strong>in</strong>formation about<strong>in</strong>structional practices with data drawn from classroom observations andscor<strong>in</strong>g rubrics.Keywords:Mathematical model<strong>in</strong>g; prospective mathematicsteacher; teacher <strong>in</strong>structional practices; case study.This study is prepared from a part <strong>of</strong>the first researcher’s PhD <strong>The</strong>sisnamed “Learn<strong>in</strong>g-Teach<strong>in</strong>gApplications on MathematicalModell<strong>in</strong>g <strong>in</strong> MathematicsEducation”.INTRODUCTIONMathematics is a systematic way <strong>of</strong> th<strong>in</strong>k<strong>in</strong>g which enhance solution to real world statements and problemswith mathematical model<strong>in</strong>g. Blum & Ferri (2009), def<strong>in</strong>es “model<strong>in</strong>g competency” as the ability to construct modelsby appropriately carry<strong>in</strong>g out def<strong>in</strong>ite steps as well as analyz<strong>in</strong>g or compar<strong>in</strong>g given models. Model<strong>in</strong>g can bedeterm<strong>in</strong>ed as transformation <strong>of</strong> a problem <strong>in</strong>to mathematical notions and representations (Burkhardt & Pollak, 2006;Niss, 1987; Kaiser; Blomhǿj & Sriraman, 2006). Mathematical model<strong>in</strong>g is meant to help students’ better understandthe world, support mathematics learn<strong>in</strong>g (motivation, concept formation, comprehension, reta<strong>in</strong><strong>in</strong>g), contribute todevelop various mathematical competencies and proper attitudes, contribute to create an adequate picture <strong>of</strong>mathematics, namely us<strong>in</strong>g enough mathematics. In this context, purposes <strong>of</strong> mathematical model<strong>in</strong>g are; enablestudents make predictions, expla<strong>in</strong> problems, describe and understand different situations <strong>in</strong> the real world (Galbraith& Catworthy, 1990).Mathematical model<strong>in</strong>g is an important component <strong>of</strong> pr<strong>of</strong>essional tra<strong>in</strong><strong>in</strong>g, which is similar <strong>in</strong> all areas,particularly <strong>in</strong> mathematics education. <strong>The</strong> <strong>in</strong>corporation <strong>of</strong> mathematical model<strong>in</strong>g <strong>in</strong> mathematics educationprovides a learn<strong>in</strong>g environment (D’Ambrosio, 2009). <strong>The</strong>re are many characterizations or model<strong>in</strong>g cycles <strong>of</strong>model<strong>in</strong>g process (Burkhardt, 1981; Edwards & Hamson, 1989; Hirste<strong>in</strong>, 1995; Berry&Houston,1995; Borromeo,Ferri,2006; Galbraith & Stillman, 2006; Pollak, 1979; Verschaffel, Greer & De Corte, 2000). In the year <strong>of</strong> 1989,Standards <strong>of</strong> National Council <strong>of</strong> Teachers <strong>of</strong> Mathematics depicted model<strong>in</strong>g as an iterative, five step process:1.construction <strong>of</strong> a simplified version <strong>of</strong> the <strong>in</strong>itial problem situation, 2. construction <strong>of</strong> a mathematical model <strong>of</strong> the1www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1simplified problem, 3. identify<strong>in</strong>g solutions with<strong>in</strong> the framework <strong>of</strong> the mathematical model, 4. <strong>in</strong>terpret<strong>in</strong>g thesesolutions <strong>in</strong> terms <strong>of</strong> the simplified problem situation, 5. verify<strong>in</strong>g that the solutions <strong>of</strong> the idealized problem are thesolutions to the <strong>in</strong>itial problem. <strong>The</strong> NCTM Standards’ (1989) characterization <strong>of</strong> mathematical model<strong>in</strong>g is given <strong>in</strong>Figure 1. One <strong>of</strong> the process models to describe model<strong>in</strong>g activities is the model<strong>in</strong>g cycle proposed by Blum& Leiss(2007). In an idealised form, the solution process for a model<strong>in</strong>g problem can be characterized by a seven-stepsequence <strong>of</strong> activities: (1) understand<strong>in</strong>g the problem and construct<strong>in</strong>g an <strong>in</strong>dividual “situation model”; (2) simplify<strong>in</strong>gand structur<strong>in</strong>g the situation model and thus construct<strong>in</strong>g a “real model”; (3) mathematis<strong>in</strong>g, i.e. translat<strong>in</strong>g the realmodel <strong>in</strong>to a mathematical model; (4) apply<strong>in</strong>g mathematical procedures <strong>in</strong> order to derive a result; (5) <strong>in</strong>terpret<strong>in</strong>gthis mathematical result with regard to reality and thus atta<strong>in</strong><strong>in</strong>g a real result; (6) validat<strong>in</strong>g this result with referenceto the orig<strong>in</strong>al situation; if the result is unsatisfactory, the process may start aga<strong>in</strong> with step 2; (7) expos<strong>in</strong>g the wholesolution process. From this po<strong>in</strong>t <strong>of</strong> view, the model<strong>in</strong>g process is made up <strong>of</strong> seven steps. Dist<strong>in</strong>guish<strong>in</strong>g betweenthese steps is helpful for reconstruct<strong>in</strong>g the model<strong>in</strong>g processes used by students when solv<strong>in</strong>g mathematicalproblems. However, students’ actual processes are typically not l<strong>in</strong>ear but rather jump back and forth several timesbetween mathematics and reality (Borromeo Ferri, 2007; Leiss, 2007).Figure1. <strong>The</strong> NCTM Standards’ (1989) characterization <strong>of</strong> mathematical model<strong>in</strong>gDemand<strong>in</strong>g transfer processes between reality and mathematics are the core <strong>of</strong> model<strong>in</strong>g activities (Blum,Galbraith, Henn & Nis (2007); Pollak, 1979). Seven-step model developed by Blum & Leiss (2007) is given <strong>in</strong> figure 2.<strong>The</strong>re are seven steps passed through <strong>in</strong> this cycle such that 1.understand<strong>in</strong>g, 2.simplify<strong>in</strong>g/structur<strong>in</strong>g,3.mathematis<strong>in</strong>g, 4. work<strong>in</strong>g mathematically, 5.<strong>in</strong>terpret<strong>in</strong>g, 6. validat<strong>in</strong>g and 7. expos<strong>in</strong>g (Blum&BorromeoFerri,2009). One characteristic advantage <strong>of</strong> this seven-step model<strong>in</strong>g cycle is the separation between construct<strong>in</strong>g asituation model, a real model and a mathematical model. This allows for dist<strong>in</strong>guish<strong>in</strong>g between difficulties <strong>in</strong>understand<strong>in</strong>g the given situation, <strong>in</strong> simplify<strong>in</strong>g and structur<strong>in</strong>g the <strong>in</strong>formation extracted from the situation, and <strong>in</strong>choos<strong>in</strong>g a suitable mathematical description <strong>of</strong> the situation dur<strong>in</strong>g students’ solution processes, and thus helpsteachers <strong>in</strong> choos<strong>in</strong>g appropriate, well-aimed and adaptive <strong>in</strong>terventions especially <strong>in</strong> the critical translation phase atthe beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong> the model<strong>in</strong>g process (Schukajlow et. al, 2011).Generally speak<strong>in</strong>g, the seven-step cycle describedbelow is both sufficiently detailed to capture the essential cognitive activities tak<strong>in</strong>g place <strong>in</strong> actual model<strong>in</strong>gprocesses and sufficiently simple to guide the necessary observations and analyses <strong>in</strong> a parsimonious way (Schukajlowet. al, 2011). A cognitive analysis <strong>of</strong> model<strong>in</strong>g process gives a model <strong>of</strong> the model<strong>in</strong>g cycle. Model<strong>in</strong>g cycle can look likealgorithmic process, but <strong>in</strong>deed it is not. Especially the construction process <strong>of</strong> model<strong>in</strong>g is challeng<strong>in</strong>g as it <strong>in</strong>cludeformulat<strong>in</strong>g a problematic situation. <strong>The</strong> process requires selection <strong>of</strong> appropriate variables, determ<strong>in</strong><strong>in</strong>g connectionsbetween these variables, develop<strong>in</strong>g a mathematical model related to these variables and connections, and test<strong>in</strong>gthe model and its applications (Blum & Niss, 1991).2www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Figure 2. Model<strong>in</strong>g cycle (Blum&Leiss, 2007)Underly<strong>in</strong>g all <strong>of</strong> these justifications <strong>of</strong> model<strong>in</strong>g, are the ma<strong>in</strong> goals <strong>of</strong> mathematics teach<strong>in</strong>g <strong>in</strong> secondaryschools. In this context, there is <strong>in</strong> fact a tendency <strong>in</strong> several countries to <strong>in</strong>clude more mathematical model<strong>in</strong>g <strong>in</strong> thecurriculum. <strong>The</strong> basic purpose <strong>of</strong> <strong>in</strong>volv<strong>in</strong>g mathematical model<strong>in</strong>g <strong>in</strong> secondary school curriculums is to encouragestudents make connections between mathematics and the real world. Accord<strong>in</strong>g to the mathematics educators,students have opportunities to use and apply mathematics through mathematical model<strong>in</strong>g (Blum & Niss, 1991).Mathematics classes that are designed <strong>in</strong> the form <strong>of</strong> us<strong>in</strong>g mathematical model<strong>in</strong>g, give students chance to usemathematics actively. Students with mathematical model<strong>in</strong>g competencies learn and develop mathematical conceptsvery well which makes important contribution to their mathematical experiences outside school (Aydın, 2008).Mathematical curriculum focuses on the pr<strong>in</strong>ciple <strong>of</strong> “every child can learn mathematics” <strong>in</strong> our country.Mathematics curriculum has important atta<strong>in</strong>ments on tra<strong>in</strong><strong>in</strong>g <strong>in</strong>dividuals; students who learn through thesecurriculums generally have the ability to apply mathematics <strong>in</strong> their lives, solve problems, share solutions andthoughts, work as a team member, have self-confidence <strong>in</strong> mathematics and develop positive attitudes towardsmathematics (M<strong>in</strong>istry <strong>of</strong> National Education, 2009). From this perspective, importance <strong>of</strong> model<strong>in</strong>g <strong>in</strong> 6 th , 7 th and 8 thgrade mathematical curriculum is gett<strong>in</strong>g <strong>in</strong>creas<strong>in</strong>g. In this case, prospective mathematics teachers who will teachmathematics <strong>in</strong> future are required to be prepared to understand mathematical teach<strong>in</strong>g environments appropriatefor model<strong>in</strong>g. Model<strong>in</strong>g has crucial contributions to development <strong>of</strong> technical processes and technology because <strong>of</strong> itssimple application on all areas <strong>of</strong> life. If this phenomenon can be learnt as early as secondary school, high school willbe able to evaluate everyth<strong>in</strong>g mathematically <strong>in</strong> their lives and will be more successful <strong>in</strong> mathematics classes.Accord<strong>in</strong>g to the results <strong>of</strong> PISA 2006, students all over the world experience problems with model<strong>in</strong>g tasks (EARGED,2010).In this context, for mathematics education, the importance <strong>of</strong> prospective mathematics teachers’ us<strong>in</strong>g the realworld problems and carry<strong>in</strong>g out mathematical model<strong>in</strong>g is <strong>in</strong>creas<strong>in</strong>g. Prospective mathematics teachers are requiredto be skillful at identify<strong>in</strong>g and develop<strong>in</strong>g mathematical model<strong>in</strong>g. <strong>The</strong> aim <strong>of</strong> this study is provide descriptive<strong>in</strong>formation about <strong>in</strong>structional practices <strong>in</strong> model<strong>in</strong>g based teach<strong>in</strong>g. Follow<strong>in</strong>g three research questions guide this<strong>in</strong>quiry:1. How are the prospective mathematics teacher’s skills <strong>in</strong> prepar<strong>in</strong>g daily lesson plan?2. How are the prospective mathematics teacher’s skills <strong>in</strong> teach<strong>in</strong>g practice on model<strong>in</strong>g based teach<strong>in</strong>g?3. How are the eighth grade students’ achievements on model<strong>in</strong>g based teach<strong>in</strong>g?3www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1METHODOLOGY<strong>The</strong> study is a case study over 8 th grade students who were <strong>in</strong>volved <strong>in</strong> a model<strong>in</strong>g based teach<strong>in</strong>g by theprospective mathematics teacher (PMT). <strong>The</strong> PMT is selected randomly from prospective mathematics teachers whohave 3-month tra<strong>in</strong><strong>in</strong>g <strong>of</strong> mathematical model<strong>in</strong>g. In this study quantitative and qualitative data are collected andanalyzed descriptively.Participants and Sett<strong>in</strong>g<strong>The</strong> study is carried out <strong>in</strong> the academic year <strong>of</strong> 2010-2011. <strong>The</strong> research is applied on randomly selected 38eighth grade students <strong>in</strong> a practic<strong>in</strong>g school. Model<strong>in</strong>g based teach<strong>in</strong>g is implemented accord<strong>in</strong>g to “<strong>The</strong> Daily LessonPlan” designed by the PMT. <strong>The</strong> PMT prepares “<strong>The</strong> Daily Lesson Plan” for organization <strong>of</strong> model<strong>in</strong>g based teach<strong>in</strong>gbefore the teach<strong>in</strong>g practice. Format <strong>of</strong> daily lesson plan consists <strong>of</strong> three parts. In the “formal partition”: date<strong>of</strong> practic<strong>in</strong>g, school <strong>of</strong> practic<strong>in</strong>g, grade, learn<strong>in</strong>g field, sub-learn<strong>in</strong>g field, ga<strong>in</strong>, time, learn<strong>in</strong>g strategy-method andtechniques, materials get <strong>in</strong>volved . In the “preparatory activity”: there is an activity that measures the read<strong>in</strong>ess andis effective <strong>in</strong> prepar<strong>in</strong>g students for transition to the model<strong>in</strong>g task. And “process<strong>in</strong>g partition” requires identify<strong>in</strong>g amodel<strong>in</strong>g task which is important, appropriate for the students’ grade, learn<strong>in</strong>g field, sub-learn<strong>in</strong>g field, ga<strong>in</strong> andmodel<strong>in</strong>g process. In this study the plan is aim<strong>in</strong>g at ensur<strong>in</strong>g students achieve the ga<strong>in</strong> <strong>of</strong> “Estimat<strong>in</strong>g surface areas <strong>of</strong>geometric objects by us<strong>in</strong>g strategy” <strong>in</strong> 8 th grade mathematics curriculum. Students are separated <strong>in</strong>to 8 small groups(four or five students per each group) based on friendship and academic results evaluated by the PMT and students’mathematics teacher. Homogeneous distribution between the groups and heterogeneous distribution with<strong>in</strong> thegroups are achieved. Model<strong>in</strong>g based teach<strong>in</strong>g starts with preparatory activity <strong>in</strong> order to measure their previousknowledge about geometric objects; then model<strong>in</strong>g tasks were given to each group <strong>in</strong> worksheet format which is easyto work on. <strong>The</strong> PMT acts as cognitive guide and <strong>of</strong>fered scaffold<strong>in</strong>g when the situation required <strong>in</strong>tervention; forexample when students weren’t able to understand the problem situation. Groups completed the model<strong>in</strong>g tasks <strong>in</strong>given time and presented their solutions on the board. All <strong>of</strong> the solutions were discussed by the whole class. Sessionlasted about an hour. Model<strong>in</strong>g task used <strong>in</strong> the class is given <strong>in</strong> Table 1.Table 1: Haydar Paşa Railway Station ProblemHaydar Paşa Railway Station was established on an area <strong>of</strong>2525m 2 , and 6200 m 2 <strong>of</strong> coat<strong>in</strong>g material was used <strong>in</strong> theconstruction. Haydar Paşa railway station is the first door (station)<strong>of</strong> Istanbul which opens to Anatolia and to the Middle East. It hasbeen serv<strong>in</strong>g to various people s<strong>in</strong>ce May 30, 1906.Unfortunately, some parts <strong>of</strong> Haydar Paşa Railway Stationburnt <strong>in</strong> the fire on November 28, 2010. If you were the eng<strong>in</strong>eerwho designs the burnt ro<strong>of</strong> how you would design? Whichgeometric shape the designed ro<strong>of</strong> would look like? <strong>The</strong> designedro<strong>of</strong> needed to be robust, and coated with a special material. <strong>The</strong>cost per 1 m 2 <strong>of</strong> this material is 1 Turkish Liras. What would be thecost <strong>of</strong> the designed ro<strong>of</strong>?4www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Data Collection ToolsIn this study “<strong>The</strong> Analytic Scor<strong>in</strong>g Rubric for Evaluation <strong>of</strong> the Daily Lesson Plan (ASRE-DLP)”, “ObservationForm for the Mathematical Model<strong>in</strong>g Process (OF-MMP)” and “<strong>The</strong> Analytic Scor<strong>in</strong>g Rubric for Evaluat<strong>in</strong>gMathematical Model<strong>in</strong>g Process (ASRE-MMP)” are used to collect data. ASRE-DLP was designed to evaluate the skills<strong>of</strong> the PMT <strong>in</strong> prepar<strong>in</strong>g daily lesson plan by the researchers. Criteria <strong>of</strong> the process <strong>in</strong> daily lesson plan are: 1.determ<strong>in</strong><strong>in</strong>g the preparatory activity, 2. identify<strong>in</strong>g the model<strong>in</strong>g task, 3. authenticity, 4. visual design, 5. conduct<strong>in</strong>gresearch, 6. check<strong>in</strong>g spell<strong>in</strong>g and grammar and 7. determ<strong>in</strong><strong>in</strong>g the amount <strong>of</strong> time. In this <strong>in</strong>strument, ascor<strong>in</strong>g system <strong>in</strong>clud<strong>in</strong>g three types <strong>of</strong> po<strong>in</strong>ts (1, 2 and 3) is used. In this context, 1 po<strong>in</strong>t is given for an <strong>in</strong>adequateapproach and 3 po<strong>in</strong>t is given for a truly approach accord<strong>in</strong>g to the desired situation or to demonstrate an adequatelevel approach. Accord<strong>in</strong>g to this system, 7 is the lowest score and 21 is the highest score. Success levels are formed <strong>in</strong>three parts as Bukova Güzel & Uğurel (2010) identify <strong>in</strong> their study: Prelim<strong>in</strong>ary (<strong>in</strong> this level score is between 7 and10.4), moderate (<strong>in</strong> this level score is between 10.5 and 17.4) and high success (<strong>in</strong> this level score is between 17.5 and21). A sample criterion <strong>of</strong> ASRE-DLP is given <strong>in</strong> order to illustrate scor<strong>in</strong>g system and success levels.CriterionAuthenticityPrelim<strong>in</strong>ary level(1)Activities areord<strong>in</strong>ary andsimilarSuccess levelsModerate(2)Activities are partly orig<strong>in</strong>al andmade by <strong>in</strong>spiration <strong>of</strong> similarones.High success(3)Activities areorig<strong>in</strong>al anddifferentScoreFigure 1. A sample criterion <strong>of</strong> ASRE-DLPTo evaluate the skills <strong>in</strong> <strong>in</strong>structional practices <strong>of</strong> PMT, an observation form named as OF-MMP is used <strong>in</strong> thisstudy. <strong>The</strong> behaviors that makes observed environment workable are chosen to prepare an observation form (Yıldırım& Şimşek, 2005). It is important to reveal clearly <strong>of</strong> behaviors which are needed to observe to what extent. In thiscontext, a check list is prepared. Criteria are taken <strong>in</strong>to consideration to allow monitor<strong>in</strong>g <strong>of</strong> model<strong>in</strong>g process as amulti-faceted observation <strong>in</strong> creat<strong>in</strong>g this checklist. Communication, model, mathematical context and evaluation aredeterm<strong>in</strong>ed as criteria. This checklist reorganized to allow monitor<strong>in</strong>g the process from the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong> the courseuntil the term<strong>in</strong>ation <strong>of</strong> the course and became the pre-form. Observation form has been rearranged with regard tothe recommendations from the observers, the qualitative data analysis applications and f<strong>in</strong>alized <strong>in</strong> accordancewith expert analysis. Model<strong>in</strong>g based teach<strong>in</strong>g is also video recorded dur<strong>in</strong>g the session. Students' modeldevelopment efforts <strong>in</strong> the model<strong>in</strong>g task named as Haydar Paşa Railway Station Problem and the PMT’s <strong>in</strong>terventionsare monitored by an observer. <strong>The</strong>refore the focus is on the PMT’s skills <strong>in</strong> <strong>in</strong>structional practices based onmathematical model<strong>in</strong>g.(ASRE-MMP) is designed as a scor<strong>in</strong>g rubric for analyz<strong>in</strong>g <strong>of</strong> 8 th grade students’ achievements on model<strong>in</strong>gbased teach<strong>in</strong>g. This scor<strong>in</strong>g rubric was developed by researchers with the model <strong>of</strong> Blum & Leiß (2007); criteria <strong>of</strong>Herget and Torries-Skoumal’ın (2007); six levels <strong>of</strong> Ludwig & Xu (2008); competences <strong>of</strong> De Terssac(1996), Maaß(2006)and Berry & Houston(1995); and student activities <strong>of</strong> Kim & Kim(2010). Criteria <strong>of</strong> (ASRE-MMP) are determ<strong>in</strong>ed as1.understand<strong>in</strong>g, 2.simplify<strong>in</strong>g/structur<strong>in</strong>g, 3.mathematis<strong>in</strong>g, 4. work<strong>in</strong>g mathematically, 5.<strong>in</strong>terpret<strong>in</strong>g, 6. validat<strong>in</strong>gand 7. expos<strong>in</strong>g and to measure these criteria a scor<strong>in</strong>g system <strong>in</strong>clud<strong>in</strong>g three types <strong>of</strong> po<strong>in</strong>ts (1, 2 and 3) is used. This<strong>in</strong>strument’s scor<strong>in</strong>g system and success levels show similarities with ASRE-DLP.For the scope validity <strong>of</strong> the scor<strong>in</strong>g rubrics, experts’ op<strong>in</strong>ions who have pr<strong>of</strong>ession <strong>in</strong> educational programs<strong>in</strong>structionand measurement - evaluation are considered. Expressions <strong>in</strong> scor<strong>in</strong>g rubrics are designed <strong>in</strong> l<strong>in</strong>ewith experts’ op<strong>in</strong>ions and aim <strong>of</strong> the research. Reliability <strong>of</strong> the scor<strong>in</strong>g rubrics is analyzed as the percentage <strong>of</strong>coherence <strong>of</strong> researchers’ scor<strong>in</strong>gs. Kappa statistic is used to determ<strong>in</strong>e the percentage <strong>of</strong> coherence between two ormore evaluators. Kappa coefficient ranges from -1 to +1. If kappa coefficient is zero, there will be random coherence.If kappa coefficient has negative values, this will be worse than random coherence. +1 represents an excellentcoherence. If kappa coefficient ranges between .40 and .75, this means a reasonable coherence and greater than .75,this means that there is an excellent coherence (Şencan, 2005, pp.265-267). In ASRE-DLP, percentage<strong>of</strong> observed coherence is 0.85 and percentage <strong>of</strong> coherence with chance is 0.38 and <strong>in</strong> ASRE-MMP, these values aresimilarly 0.85 and 0.32. In this context, kappa coefficients are calculated and found to be 0.76 for ASRE-DLP and 0.78for ASRE-MMP. As a result, there is an excellent coherence for both ASRE-DLP and ASRE-MMP. <strong>The</strong> percentages5www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1<strong>of</strong> coherence <strong>in</strong> subscales <strong>of</strong> the ASRE-MMP are calculated and Cohen's Kappa coefficients are respectively as K 1 =0.60, K 2 =0.81 and K 3 = 0.79, K 4 = 0.72, K 5 =0.79, K 6 = 0.79 and K 7 =0.79. <strong>The</strong>refore these values report that ASRE-DLP andASRE-MMP is reliable with subscales.FINDINGS AND DISCUSSIONF<strong>in</strong>d<strong>in</strong>gs Related To the First Research Problem<strong>The</strong> daily lesson plan designed by PMT is evaluated <strong>in</strong>dependently with us<strong>in</strong>g the ASRE-DLP by researchers.F<strong>in</strong>d<strong>in</strong>gs related to the evaluation <strong>of</strong> daily lesson plan are given <strong>in</strong> Table 2.Table 2. Evaluation <strong>of</strong> daily lesson plan accord<strong>in</strong>g to the ASRE-DLPCriteria<strong>The</strong>1 st researcher<strong>The</strong>2 nd researcherDeterm<strong>in</strong>ation Of Preparatory Activity 3 3Determ<strong>in</strong>ation Of <strong>The</strong> Model<strong>in</strong>g Task 2 2Uniqueness 3 3Visual Design 2 2Conduct<strong>in</strong>g Research 3 3Spell<strong>in</strong>g And Grammar 3 2Determ<strong>in</strong>ation Of <strong>The</strong> Amount Of Time 1 1Total 17 16In l<strong>in</strong>e with this scor<strong>in</strong>g, PMT’s success <strong>in</strong> determ<strong>in</strong><strong>in</strong>g <strong>of</strong> preparatory activity, uniqueness, and conduct<strong>in</strong>gresearch is found to be highly successful. It can be said that preparatory activity is sufficient <strong>in</strong> measur<strong>in</strong>g read<strong>in</strong>esseffective for transition to model<strong>in</strong>g task. Activities are unique and different from others. In conduct<strong>in</strong>g research phase,there is an extensive research is made and reflects on the content <strong>of</strong> plan. <strong>The</strong>re is not any error <strong>in</strong> formal partition.Model<strong>in</strong>g task is seen as <strong>in</strong>appropriate for the 8 th grade students’ levels, thus his ways <strong>of</strong> determ<strong>in</strong><strong>in</strong>g the model<strong>in</strong>gtask is found to be acceptable. Apply<strong>in</strong>g <strong>of</strong> visual, verbal and charm<strong>in</strong>g elements is found to be partially sufficient andthis criterion partially facilitates the understand<strong>in</strong>g <strong>of</strong> the problem. Determ<strong>in</strong><strong>in</strong>g the amount <strong>of</strong> time is considered as<strong>in</strong>appropriate for model<strong>in</strong>g process. As a result from the scores given by researchers, the PMT shows a moderate level<strong>of</strong> success <strong>in</strong> prepar<strong>in</strong>g the daily lesson plan.F<strong>in</strong>d<strong>in</strong>gs Related To the Second Research ProblemModel<strong>in</strong>g based teach<strong>in</strong>g is observed by an observer who had a 3- month tra<strong>in</strong><strong>in</strong>g on mathematical model<strong>in</strong>glike PMT and researchers. Observer is selected randomly for this study. Observer took field notes by us<strong>in</strong>g the OF-MMP. Observation data were analyzed descriptively and thematic-cod<strong>in</strong>g was made. Table 3 presents the f<strong>in</strong>d<strong>in</strong>g withregard to observation <strong>of</strong> the mathematical model<strong>in</strong>g process.6www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table 3: F<strong>in</strong>d<strong>in</strong>gs related to the observation <strong>of</strong> the prospective mathematics teacher’s skills <strong>in</strong> teach<strong>in</strong>gpractice on model<strong>in</strong>g based teach<strong>in</strong>g<strong>The</strong>mesPrepar<strong>in</strong>genvironment<strong>of</strong> the classPreparationactivityModel<strong>in</strong>g taskSubthemes<strong>The</strong>physicalstructure<strong>of</strong> theclassHav<strong>in</strong>gknowledgeaboutsubjectsCreat<strong>in</strong>ggroupsEffects onthestudentsModel<strong>in</strong>gprocessMathematicalcontextCodesAppropriateness for themodel<strong>in</strong>g applicationsHigh level <strong>of</strong> successEffectivecommunicationWithout helpTak<strong>in</strong>g student op<strong>in</strong>ionsBefore teach<strong>in</strong>gGroup numberHomogeneousdistribution betweengroupsHeterogeneousdistribution <strong>in</strong>tra-groupsTimePrepared students tothe model<strong>in</strong>g taskRecalled theprelim<strong>in</strong>ary <strong>in</strong>formationAttracted attentionMeasured read<strong>in</strong>essServed to its purposeUnderstand<strong>in</strong>g withassistanceActive participationWork<strong>in</strong>g cooperativelyParticipat<strong>in</strong>g <strong>in</strong> classdiscussionsExpress<strong>in</strong>g ideasadvocat<strong>in</strong>ggroups’ solutionsDecid<strong>in</strong>g to the correctsolutions withdiscussions.Us<strong>in</strong>g mathematicalrepresentations andterm<strong>in</strong>ology correctlyMak<strong>in</strong>g comparisonsUs<strong>in</strong>g approximatevalues for numerals.Field notes<strong>The</strong> physical structure <strong>of</strong> the class wasnot appropriate to the study,but prospective teacher organizedthe class to be effectivePMT knew that there were manysuccessful students <strong>in</strong> the class fromobservations <strong>of</strong> other prospective teachers’applications, conversations withmathematics teachers and he knew some <strong>of</strong>the students from out <strong>of</strong> class. PMT had aneffective communication with students andmathematics teacher.PMT formed the groups without theassistance <strong>of</strong> the mathematics teacher atthe beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong> the course. PMT had theknowledge about students and took theirop<strong>in</strong>ions for creat<strong>in</strong>g groups. Creation <strong>of</strong>groups before teach<strong>in</strong>g was moreappropriate but if he had taken help tocreate groups it would be good. 8 is areasonable number <strong>of</strong> group decision. <strong>The</strong>rewas homogeneous distribution <strong>of</strong> thegroups. Groups were similar to each other.<strong>The</strong>re was heterogeneous distribution <strong>in</strong>tragroup.Creat<strong>in</strong>g the groups took 5 m<strong>in</strong>utes.Activity prepared students to themodel<strong>in</strong>g task, recalled theprelim<strong>in</strong>ary <strong>in</strong>formation about prisms,attracted their attention andmeasured read<strong>in</strong>ess. Preparation activityserved to its purpose.<strong>The</strong>y read thequestion immediately and tried to figureout the problem. Groups understood theproblem with the assistance <strong>of</strong> PMT. PMTmade explanations to be needed.Groups dealt on the model<strong>in</strong>g task with all<strong>of</strong> the members. <strong>The</strong>y had difficulties atthe first time but then they got used to theapplication. <strong>The</strong>y actively <strong>in</strong>volved andworked cooperatively. Participation levelwas high. Groups completed the task <strong>in</strong> thegiven time. Students participated <strong>in</strong> classdiscussions, were able to express theirideas and advocatedtheir groups’ solutions. <strong>The</strong>y decided to thecorrect solutions with discuss<strong>in</strong>g all <strong>of</strong> thegroups’ solutions.Groups used the mathematicalrepresentations and term<strong>in</strong>ology correctly.<strong>The</strong>y made comparisons solutions by us<strong>in</strong>gapproximate values for numerals. <strong>The</strong>irdraw<strong>in</strong>gs were accurate.7www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1<strong>The</strong>mesSubthemesCodesAccurate draw<strong>in</strong>gsField notesEffects onstudentsAttract<strong>in</strong>g attentionAris<strong>in</strong>g curiosityRe<strong>in</strong>forc<strong>in</strong>g learn<strong>in</strong>gInquiry- critical th<strong>in</strong>k<strong>in</strong>gHigher-order th<strong>in</strong>k<strong>in</strong>gAbstract th<strong>in</strong>k<strong>in</strong>gPeer learn<strong>in</strong>gDevelop<strong>in</strong>g commonthoughtExperienc<strong>in</strong>g a differentapplication.Permanent learn<strong>in</strong>gEffective learn<strong>in</strong>gRealiz<strong>in</strong>g mistakesI th<strong>in</strong>k model<strong>in</strong>g task was effective onattract<strong>in</strong>g <strong>of</strong> their attention, aroused theircuriosity, amused them andre<strong>in</strong>forced learn<strong>in</strong>g. Inquiry- criticalth<strong>in</strong>k<strong>in</strong>g skills, higher-order th<strong>in</strong>k<strong>in</strong>g andabstract th<strong>in</strong>k<strong>in</strong>g skills were atta<strong>in</strong>ed. <strong>The</strong>ylearned from each other. Creative ideasemerged. <strong>The</strong>y developed a commonthought and experienced a differentapplication. Permanent learn<strong>in</strong>g andeffective learn<strong>in</strong>g took place. <strong>The</strong>yrealized their mistakes.PMT started the course with ask<strong>in</strong>g questions about situations that students face daily <strong>in</strong> life. In this process,he asked questions such as, “<strong>The</strong>re are build<strong>in</strong>gs all around us, and all <strong>of</strong> them have ro<strong>of</strong>s. Which geometric shapes dothese ro<strong>of</strong>s look like?” Students’ responses were triangular prism, square pyramid, square prism, rectangular prismetc. Accord<strong>in</strong>gly, he asked what the triangular prism and pyramid look like. In this context, he asked one morequestion that provided enrichment to the learn<strong>in</strong>g and supported organiz<strong>in</strong>g different thoughts.PMT: Well, you have got a block <strong>of</strong> cheese <strong>in</strong> the cubic. We want to make triangular prism with thischeese. How do you cut the cheese?Students: Diagonal, at the corners.(<strong>The</strong>re were signifiers with their hands; one student raised her f<strong>in</strong>ger to come to the board. She drew acube, and showed the section by scann<strong>in</strong>g. She said that if we cut and divided the part <strong>in</strong>to two, we can obta<strong>in</strong> twotriangular prisms.)PMT: So, what are the bases <strong>of</strong> prisms?Students: Triangle, square, rectangle...PMT: Is the base rectangular? Which geometric shapes are the sides <strong>of</strong> surfaces?Students: Square...PMT: Square? Are you sure?Students: Square, yea…PMT: I said that the cheese is <strong>in</strong> cubic shape.Students: We said that, sides are squares...PMT: I did not say it is the wrong answer... Well, what are the bases?Students: Triangle…<strong>The</strong> follow<strong>in</strong>g is understood from this conversation: He was evaluat<strong>in</strong>g the read<strong>in</strong>ess <strong>of</strong> students, giv<strong>in</strong>gstudents’ some opportunities to acquire mathematical competencies and prepar<strong>in</strong>g students to the model<strong>in</strong>g task.After submission <strong>of</strong> the model<strong>in</strong>g task, groups started the model<strong>in</strong>g cycle. Firstly, the problem situation has to beunderstood by the groups. <strong>The</strong> PMT deals primarily with groups who are ask<strong>in</strong>g questions and then fallows all <strong>of</strong> thegroup studies. He provides an effective and learner-oriented classroom and guidance; fosters students’ <strong>in</strong>dependenceand supports thought; stimulates cognitive and meta-cognitive activities and gave students’ various opportunities toexpla<strong>in</strong> their thoughts <strong>in</strong>dependently. <strong>The</strong>se skills are similar to the skills identified by Lesh & Doerr (2003, p. 11). Inthe last section <strong>of</strong> model<strong>in</strong>g cycle, teacher started the process <strong>of</strong> <strong>in</strong>quiry. He asked questions to whole class such as;8www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1“Which <strong>of</strong> these solutions do you th<strong>in</strong>k is most sensible? Which results are more convenient to real situation?”, “Doesthis result fit the real situation?”…etc. Teachers’ model<strong>in</strong>g treatments <strong>in</strong> the classroom are described by Blum & Ferri(2009) as such: act<strong>in</strong>g like a maestro while teach<strong>in</strong>g a mathematical subject, ensur<strong>in</strong>g cognitive activation <strong>of</strong> learnersand effectively manag<strong>in</strong>g a learner-oriented classroom. <strong>The</strong>se treatments have similarities with skills <strong>in</strong> teach<strong>in</strong>gpractice <strong>of</strong> the PMT <strong>in</strong> our study.When students deal with model<strong>in</strong>g tasks, prospective mathematics teacher stimulates groups’ thought withcognitive and meta-cognitive activities. For example, the dialogues between groups and PMT are given as follows:S2: If we thought lengths <strong>of</strong> the ro<strong>of</strong> are 25m and 100m, we could f<strong>in</strong>d an approximate value.PMT: Have you ever notice the number <strong>of</strong> w<strong>in</strong>dows for calculat<strong>in</strong>g the lengths?S3: No, we did not <strong>in</strong>clude w<strong>in</strong>dows.After this dialogue, students turn back to the picture aga<strong>in</strong> and get another perspective when they engaged <strong>in</strong>cognitive and meta-cognitive activities. Students give the estimated values to the lengths accord<strong>in</strong>g to the data given<strong>in</strong> the model<strong>in</strong>g task. Another group expresses that the tra<strong>in</strong> station looks like a prism and so they beg<strong>in</strong> with thesurfaces <strong>of</strong> prism. PMT asks some questions on what they th<strong>in</strong>k, <strong>in</strong> this way he is question<strong>in</strong>g their thought processes<strong>in</strong> reason<strong>in</strong>g. <strong>The</strong>ir <strong>in</strong>teraction is given below to illustrate this situation.S1: 6a 2 = 2525. Divide 2525 by 6.PMT: Why will divide 2525 by 6?S1: because this part is absent.S2: <strong>The</strong>n, it must be 5, not 6.<strong>The</strong>y counted the surfaces <strong>of</strong> the station by th<strong>in</strong>k<strong>in</strong>g that the station is like a prism. <strong>The</strong> consensus was about 6.<strong>The</strong>reupon, PMT says that the build<strong>in</strong>g's ground floor is 2525 square meters and wants them to th<strong>in</strong>k about thehouses’ sitt<strong>in</strong>g area, floor. K1 makes draw<strong>in</strong>g on paper by separat<strong>in</strong>g the station <strong>in</strong>to 3 parts and says that:S1: So, there are 3<strong>of</strong> a 2S2: How is there 3 <strong>of</strong> a 2 ?S4: teacher is say<strong>in</strong>g that, look at the sub-base <strong>of</strong> eraser.(S1 is scann<strong>in</strong>g the base by draw<strong>in</strong>g a cube <strong>in</strong> the meantime)S2: ok, I say the same.<strong>The</strong> consensus was provided on the ground. <strong>The</strong>n they start to question about the data given <strong>in</strong> the problem.But this time their focus is on the geometric shape <strong>of</strong> the tra<strong>in</strong> station.S1: tra<strong>in</strong> station is as a whole, he says, sitt<strong>in</strong>g <strong>in</strong> the garden with 2525 square meters, 6200 is only thetotal <strong>of</strong> the ro<strong>of</strong>s.S2: 2525 is a full-square? I do not understand, this figure as a whole is a rectangle or square?Prospective mathematics teacher: What do you th<strong>in</strong>k it looks like?S3: RectangleS1: I th<strong>in</strong>k, square.S2: <strong>The</strong>n, I say that 2525 has to be square <strong>of</strong> someth<strong>in</strong>g.<strong>The</strong> 3 rd group passes similar paths <strong>in</strong> reason<strong>in</strong>g like the former group did. A student from 3 rd group says that:“there are 4 parts so we divided 2500 by 4. If we divide by 3, we'd take account the garden but we divided by 4 andwe calculated all <strong>of</strong> them separately except the garden. We found 625 square meters”. When the prospectivemathematics teacher asked what the form <strong>of</strong> the ro<strong>of</strong> is one <strong>of</strong> them says “triangle” as another student says “no,square”. <strong>The</strong> form <strong>of</strong> the ro<strong>of</strong> is considered as a planar shape.In the model<strong>in</strong>g process, PMT gives students’ various opportunities and encourages them to expla<strong>in</strong> theirthoughts <strong>in</strong>dependently. An effective and learner-oriented classroom management is exhibited by PMT and hesupports students’ <strong>in</strong>dependence such as a dialogue <strong>in</strong> another group study gives evidence as follows:.9www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1S1: If we divide the whole <strong>of</strong> the ro<strong>of</strong> <strong>in</strong>to three parts (he is show<strong>in</strong>g the burned ro<strong>of</strong>), I thought that wecould f<strong>in</strong>d the area <strong>of</strong> one <strong>of</strong> them.S2: Ok, what do we do with two <strong>of</strong> them? (he is ask<strong>in</strong>g for the numeric <strong>in</strong>formation <strong>of</strong> 2525 squaremeters and 6200 square meters)S3: Look at the area covered by this (2525 square meters), this is the entire surface area with garden.This is only for the ro<strong>of</strong> (6200 square meters).S2: Good, will we divide this by 3 (show<strong>in</strong>g 6200 square meters)?S4: Why do we do it?S5: It cannot be divided to 3. 6 plus 2 equals 8 and 8 cannot be divided by 3e. (He is expla<strong>in</strong><strong>in</strong>g thedivisibility <strong>of</strong> 6200 by 3)Students: let’s th<strong>in</strong>k over the task…When students are deal<strong>in</strong>g with model<strong>in</strong>g tasks, PMT makes adaptive, <strong>in</strong>dependence-preserv<strong>in</strong>g <strong>in</strong>terventions.<strong>The</strong>se <strong>in</strong>terventions are observed as suitable for the determ<strong>in</strong>ations <strong>of</strong> teacher role <strong>in</strong> the study <strong>of</strong> Blum & Ferri(2009). <strong>The</strong> PMT also creates an atmosphere which supports students’ <strong>in</strong>dividual views besides his role <strong>of</strong> guid<strong>in</strong>gstudents <strong>in</strong> the processes <strong>of</strong> develop<strong>in</strong>g models to solve problems <strong>in</strong>stead <strong>of</strong> exhibit<strong>in</strong>g solutions. He encourageswhole class discussions <strong>in</strong> order to defense the models groups developed <strong>in</strong> each group. Accord<strong>in</strong>g to Schukajlowet.al.(2011) teachers are to be <strong>in</strong>volved <strong>in</strong> the conditions when students’ <strong>in</strong>dependency is kept optimal level. From theobservations we made <strong>in</strong> our research, it can be said that the balance between his guidance (m<strong>in</strong>imal) and (maximal)students’ <strong>in</strong>dependence ma<strong>in</strong>ta<strong>in</strong>ed dur<strong>in</strong>g the model<strong>in</strong>g process. Marcou&Lerman(2007), asserts that studentcenteredteach<strong>in</strong>g environments provides opportunities for student. <strong>The</strong>refore, students <strong>in</strong> this study develop theirmodel<strong>in</strong>g skills and creative th<strong>in</strong>k<strong>in</strong>g through an effective and student-centered model<strong>in</strong>g process with the help <strong>of</strong> thePMT.F<strong>in</strong>d<strong>in</strong>gs Related To the Third Research ProblemIn the model<strong>in</strong>g based teach<strong>in</strong>g, groups paraphrased the <strong>in</strong>formation given by the problem situation, expla<strong>in</strong>edtheir thoughts to each other, made draw<strong>in</strong>gs <strong>in</strong> the shape <strong>of</strong> the station and then most <strong>of</strong> them thought divid<strong>in</strong>g thearea <strong>in</strong>to equal parts accord<strong>in</strong>g to the <strong>in</strong>formation related to 2525 square meters. When they were develop<strong>in</strong>g theirconceptual systems or models through the mathematization, they found relationships between the lengths <strong>of</strong> burnedro<strong>of</strong>, area <strong>of</strong> station and coat<strong>in</strong>g material; they resized, quantified or made predictions. As they work with the richcontextual data, they would need to surface and communicate their mathematical ideas to clarify their thoughts andensure the validity <strong>of</strong> their ideas. In this context they wrote symbols and made diagrams related to designed ro<strong>of</strong>s.From this perspective, at the end <strong>of</strong> the observed model<strong>in</strong>g process, groups developed similar models. In the study <strong>of</strong>English(2009), students checked their <strong>in</strong>terpretation and re<strong>in</strong>terpretation <strong>of</strong> problems and data sets, identified keyproblem factors, determ<strong>in</strong>ed and applied quantification process to transform the data, and documented andsupported their actions <strong>in</strong> various representational formats. Cognitive analysis <strong>of</strong> groups’ model<strong>in</strong>g process are madeaccord<strong>in</strong>g to the model<strong>in</strong>g cycle given <strong>in</strong> Figure 2 and evaluated by us<strong>in</strong>g ASRE-MMP. PMT’ s scor<strong>in</strong>g <strong>of</strong> groups’ effortswith tak<strong>in</strong>g <strong>in</strong>to consideration the criteria <strong>in</strong> model<strong>in</strong>g process is given <strong>in</strong> Table 4.Table 4. Scores <strong>of</strong> groups accord<strong>in</strong>g to the criteria <strong>in</strong> mathematical model<strong>in</strong>g process.Criteria1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 8 thgroup group group group group group group groupUnderstand<strong>in</strong>g 1 2 1 2 2 1 1 2Simplify<strong>in</strong>g/structur<strong>in</strong>g1 2 1 3 2 1 2 3Mathematis<strong>in</strong>g 2 2 1 3 2 1 2 3Work<strong>in</strong>gmathematically3 1 1 2 3 2 3 3Interpret<strong>in</strong>g 3 1 1 2 3 2 3 3Validat<strong>in</strong>g 3 1 1 3 3 2 3 3Expos<strong>in</strong>g 3 1 1 2 3 2 3 3Total score 16 10 7 17 18 11 17 20Success levelHighmoderamoderamodera moderat Highlow lowsuccestetete e successs10www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Four groups did not understand the problem situation but the other four groups understood the problemsituation with the help <strong>of</strong> PMT. <strong>The</strong> fourth and eighth groups only completed the simplify<strong>in</strong>g/structur<strong>in</strong>g phasesuccessfully, as they completed the previous phase with assistance. <strong>The</strong> first, third and sixth groups understand onlyproblem situation but they could not organize and simplify the situation and couldn’t associate problem situation withany mathematical idea. <strong>The</strong> second, fifth and seventh groups made the list <strong>of</strong> problem features, created a list bylook<strong>in</strong>g at certa<strong>in</strong> features but neither they could describe the variables used <strong>in</strong> the model nor did an accuratedraw<strong>in</strong>g /table. Similarly the fourth and eighth groups completed the mathematization process successfully. <strong>The</strong>second, fifth and seventh groups are to be moderately successful. <strong>The</strong> first, third and sixth groups neither took <strong>in</strong>toaccount each variable <strong>in</strong> creat<strong>in</strong>g model nor used mathematical representation and term<strong>in</strong>ology correctly. <strong>The</strong>irmodel is not suitable for the problem situation.<strong>The</strong> first, fifth, seventh and eighth worked over the mathematical problem us<strong>in</strong>g mathematical model andreached the correct solution. 4 th and 6 th groups made process<strong>in</strong>g error and rema<strong>in</strong><strong>in</strong>g 2 groups could not workmathematically. Almost all <strong>of</strong> the groups (75%) were unable to <strong>in</strong>terpret achieved mathematical results with realoutcomes <strong>in</strong> an adequate level. Accuracy <strong>of</strong> the mathematical model with appropriate data was tested, mathematicalmodel was affirmed and the developed mathematical model is not able to be generalized for any other problems <strong>in</strong>the second and third groups. <strong>The</strong> sixth group is unable to generalize their model. <strong>The</strong> 1 st ,4 th ,5 th ,7 th and 8 th groupscompleted validat<strong>in</strong>g at high success level.<strong>The</strong> 1 st ,4 th ,5 th ,6 th ,7 th and 8 th groups submitted verbal solutions <strong>of</strong> the problem and expla<strong>in</strong>ed the solutioncorrectly. But when different op<strong>in</strong>ions were mentioned by other groups, the 2 nd , 3 rd , 4 th and 6 th groups were unable todefend their own solutions aga<strong>in</strong>st them. <strong>The</strong> 2 nd and 3 rd groups could not successfully complete the last four phases.<strong>The</strong>se f<strong>in</strong>d<strong>in</strong>gs are clearly po<strong>in</strong>ted out <strong>in</strong> solutions.In the expos<strong>in</strong>g phase, solutions were presented on board. A student from the 8 th group drew a triangularprism on the board. <strong>The</strong> floor <strong>of</strong> the station was regarded as square and total area was 2500 m 2 . Lengths <strong>of</strong> the ro<strong>of</strong>floors were approximately 50 m and 10 m. She drew a floor <strong>of</strong> the build<strong>in</strong>g that is placed on the square shaped station<strong>in</strong> order to <strong>in</strong>crease the visual understandability <strong>of</strong> the shape. <strong>The</strong>y used an isosceles triangle <strong>in</strong> the form <strong>of</strong> base 10mand edges 5√2m. Accord<strong>in</strong>gly, the height <strong>of</strong> the triangle was 5m. <strong>The</strong>ir mathematical solution was:(50x10)+(50x5√2x2)+(10x5)/2+(10x5)/2=550+500√2= 1255 square meters. In this context, required material was foundto be 1255 square meters. Lengths <strong>of</strong> ro<strong>of</strong> floor were regarded as 30m and 120m by the fourth group. Height <strong>of</strong> theisosceles triangle was found to be 20 m accord<strong>in</strong>g to the right triangle (3-4-5) which is used to ease the calculation.<strong>The</strong>ir mathematical solution was: (120x25x2)+(120x30)+(30x20)= 10200 square meters which was the requiredamount. <strong>The</strong> sixth group who designed the ro<strong>of</strong> and triangular prism regarded the length <strong>of</strong> the ro<strong>of</strong> floor as 150 mand 40 m. Height <strong>of</strong> the triangles were 25m, edge lengths were 40m, 5√41m and 5√41m. In this case(150x40)+(150x5√41x2)+(40x25)=6000+1500√41 square meters approximately refers to 14500 square meters <strong>of</strong>material. <strong>The</strong> ro<strong>of</strong> was designed as a triangular prism by fifth group and thus a 2 =2525, a=5√101m. Accord<strong>in</strong>gly, theirsolutions and results were similar with the eighth group. <strong>The</strong> first group calculated the ro<strong>of</strong> floor to be 50m and 20 m.Length <strong>of</strong> the base <strong>of</strong> the triangle was 20m, edges were 5√5m, the height was 5m. <strong>The</strong> required material was found tobe (50x20)+(50x5√5x2)+(20x5)= 1100+500√2=1805 square meters. <strong>The</strong> seventh group’s solution is: Right triangleswith the lengths <strong>of</strong> (10m-10m-10√2m), the lengths <strong>of</strong> the ro<strong>of</strong> floor were 50m and 10m. 1100+500√2 square meters(1800 square meters) material was required. In the case <strong>of</strong> an equilateral triangle (10m-10m-10m) without anychanges on the ro<strong>of</strong> floor, 1500+50√3 square meters (1585 square meters) material was required. Accord<strong>in</strong>g to groupdiscussion, the eighth, fifth, first and the seventh groups’ solutions are accepted to be correct solutions. Some figuresare given below for illustrat<strong>in</strong>g the model<strong>in</strong>g process.As a result, two groups showed a high level <strong>of</strong> success, 4 groups showed moderate level <strong>of</strong> success and 2groups showed a low level <strong>of</strong> success accord<strong>in</strong>g to the evaluation <strong>of</strong> ASRE- MMP.Accord<strong>in</strong>g to the results <strong>of</strong> PISA 2006,students all over the world experience problems with model<strong>in</strong>g tasks (Blum & Leiß, 2007). This situation is related tocomplexity structure <strong>of</strong> model<strong>in</strong>g tasks by Schukajlow et. al.(2011). In this study, students sometimes havedifficulties <strong>in</strong> develop<strong>in</strong>g the models. This is an expected situation because <strong>of</strong> the difficulty and uncerta<strong>in</strong>ty <strong>of</strong> the datagiven <strong>in</strong> problem situation. PMT gives a sufficient time (more than the specified time <strong>in</strong> the daily lesson plan) formodel<strong>in</strong>g processes and guidance. As Eric (2010) and Schukajlow et.al. (2011) po<strong>in</strong>ted out, this <strong>in</strong>tervention iseffective on students’ development <strong>of</strong> models. Students are even believed and encouraged to be successful <strong>in</strong> do<strong>in</strong>gmodel<strong>in</strong>g tasks by prospective mathematics teacher. Accord<strong>in</strong>g to Nyman&Berry(2002), this technique-mathematicalmodel<strong>in</strong>g- may be useful or practicability when students actively participated to the activities and ready to classdiscussion. However, when students forced to expla<strong>in</strong> and argue their models, they uncover <strong>in</strong>accuracies andmisunderstand<strong>in</strong>gs. L<strong>in</strong>gefjard(2006) emphasizes a clear focus on validat<strong>in</strong>g process. In this study model<strong>in</strong>g process is11www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1successfully done. Students expressed that model<strong>in</strong>g task is charm<strong>in</strong>g and they feel enjoyment while they are learn<strong>in</strong>gmathematics with model<strong>in</strong>g. In this way, mathematical model<strong>in</strong>g provides students a qualified mathematics learn<strong>in</strong>genvironment.CONCLUSIONSIn model<strong>in</strong>g, students are presented with real world situations and are expected to use mathematics <strong>in</strong> orderto rationalize these situations. Students need more mathematical understand<strong>in</strong>g <strong>in</strong> order to construct valid and usefulmodels. Mathematical model<strong>in</strong>g plays a significant role <strong>in</strong> the mathematics. Model<strong>in</strong>g, as <strong>in</strong>corporated <strong>in</strong> thecurriculum recommendations <strong>of</strong> NCTM, forms the basis <strong>of</strong> classroom activities.In this context, this study <strong>of</strong>fers <strong>in</strong>formation about the model<strong>in</strong>g applications <strong>of</strong> students and the role <strong>of</strong>teacher. Model<strong>in</strong>g provides an effective context for develop<strong>in</strong>g students’ problem solv<strong>in</strong>g skills. Moreover, model<strong>in</strong>gpromises to highlight mathematical connections, addresses to the aspects <strong>of</strong> learn<strong>in</strong>g and re<strong>in</strong>forces students’understand<strong>in</strong>g <strong>of</strong> mathematics. Model<strong>in</strong>g provides teachers an additional tool for connect<strong>in</strong>g with students andmotivat<strong>in</strong>g them. <strong>The</strong> need to study with different level students and prospective mathematics teachers aroused <strong>in</strong>order to use the research data <strong>in</strong> future researches <strong>in</strong> terms <strong>of</strong> different model<strong>in</strong>g. Model<strong>in</strong>g is difficult to teach andlearn. On the other hand, by develop<strong>in</strong>g awareness <strong>of</strong> teacher <strong>in</strong>structional practices; students’ model<strong>in</strong>gcompetencies can be facilitated and developed through well designed tasks with collaborative studies betweenresearchers and PMTs <strong>in</strong> educational faculties. F<strong>in</strong>d<strong>in</strong>g an appropriate context with<strong>in</strong> which model<strong>in</strong>g can beundertaken is not a simple task as it needs to be readily understandable and seen as relevant by students, required anappropriate level <strong>of</strong> mathematical tra<strong>in</strong><strong>in</strong>g on model<strong>in</strong>g.REFERENCESAydın, H. (2008). “İngiltere’de öğrenim gören öğrenciler<strong>in</strong> ve Öğretmenler<strong>in</strong> matematikselmodelleme Kullanımına yönelik fenomenografik bir çalışma.” Yayımlanmamış yüksek lisans tezi. Gaziüniversitesi, eğitim bilimleri enstitüsü, Ankara.Berry, J. & Houston, K. (1995). Mathematical Modell<strong>in</strong>g. Bristol: J. W. Arrowsmith Ltd.Blum, W., Galbraith, P., Henn, H-W&Niss M. (2007). Modell<strong>in</strong>g and applications <strong>in</strong> MathematicsEducation. <strong>New</strong> York: Spr<strong>in</strong>ger.Blum, W. & Borromeo Ferri, R. (2009). Mathematical Modell<strong>in</strong>g: Can It Be Taught And Learnt?.<strong>Journal</strong> <strong>of</strong> Mathematical Modell<strong>in</strong>g and Application. Vol. 1, No. 1, 45-58Blum, W. & Leiß, D. (2007). How do students’ and teachers deal with modell<strong>in</strong>g problems? In:Ha<strong>in</strong>es, C. et al. (Eds), Mathematical Modell<strong>in</strong>g: Education, Eng<strong>in</strong>eer<strong>in</strong>g and Economics.Chichester:Horwood , 222-23112www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Blum, W. & Niss, M. (1991). Applied mathematical problem solv<strong>in</strong>g, modell<strong>in</strong>g,applications, andl<strong>in</strong>ks to other subjects – state, trends, and issues <strong>in</strong> mathematics <strong>in</strong>struction. Educational Studies <strong>in</strong>Mathematics, 22(1), 37-68.Borromeo Ferri, R. (2006). Insight <strong>in</strong>to Teacher’s unconcious Behaviour while deal<strong>in</strong>g withmathematical Modell<strong>in</strong>g problems and implications for teacher education. [onl<strong>in</strong>e]:http://www.unige.ch/math/EnsMath/Rome2008/WG2/Papers/BORR.pdfBorromeo Ferri, R. (2007). Individual modell<strong>in</strong>g routes <strong>of</strong> pupils-analysis <strong>of</strong> modell<strong>in</strong>g problems <strong>in</strong>mathematical lessons from a cognitive perspective . In He<strong>in</strong>es, C. Et al. (Eds), Mathematical Modell<strong>in</strong>g(ICTMA 12): Education, Eng<strong>in</strong>eer<strong>in</strong>g And Economics(pp.260-270).Chichester: Horwood publish<strong>in</strong>g.Bukova Güzel, E. & Uğurel, I. (2010). Matematik Öğretmen Adaylarının Analiz Dersi AkademikBaşarıları İle Matematiksel Modelleme Yaklaşımları Arasındaki İlişki. Ondokuz Mayıs Üniversitesi EğitimFakültesi Dergisi,29(1),69-90.Burkhardt, H. (1981). <strong>The</strong> realworldandmathematics.Glasgow: Blackie.Burkhardt, H. & Pollak, H. O. (2006). Modell<strong>in</strong>g <strong>in</strong> mathematics classrooms: reflections on pastdevelopments and the future. Zentralblatt für Didaktik der Mathematik 38 (2), 178–195D’Ambrosio, U. (2009). 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Trac<strong>in</strong>g Primary 6 students’ model development with<strong>in</strong> the mathematicalmodell<strong>in</strong>g process. <strong>Journal</strong> <strong>of</strong> mathematical modell<strong>in</strong>g and Applications.1(3),40-57.Galbraith, P. & Clathworthy, N. (1990). Beyond Standard Models – Meet<strong>in</strong>g the Challenge <strong>of</strong>Modell<strong>in</strong>g. Educational Studies <strong>in</strong> Mathematics 21(2), 137-163Galbraith, P. & Stillman,G. (2006). A framework for identify<strong>in</strong>g student blockages dur<strong>in</strong>g transitions<strong>in</strong> the model<strong>in</strong>g process. Zentralblatt für Didaktik der Mathematik,38(2),143-162.Herget, W. & Torres-Skoumal M. (2007). In Werner Blum, Peter L. Galbraith, Hans-Wolfgang Henn,Mogens Niss, (Eds.) Modell<strong>in</strong>g and Applications <strong>in</strong> Mathematics Education. <strong>The</strong> 14th ICMI Study, Spr<strong>in</strong>ger,Volume10, 379-386Hirste<strong>in</strong>, J. (1995). Assessment and mathematical model<strong>in</strong>g.In C. Sloyer, W. Blum, &I. Huntley(Eds.), Advancesandperspectives <strong>in</strong> the teach<strong>in</strong>g <strong>of</strong>mathematical modell<strong>in</strong>g and applications (pp. 163-174).Yoridyn, DE: Water Street Mathematics.Kaiser, G., Blomhøj, M. & Sriraman, B. (Eds.) (2006). Mathematical Modell<strong>in</strong>g and Applications:Empirical and <strong>The</strong>oretical Perspectives. Zentralblatt für Didaktik der Mathematik, 38(2).Kim, S. H. & Kim, S. (2010). <strong>The</strong> effects <strong>of</strong> mathematical model<strong>in</strong>g on creative production abilityand self-directedlearn<strong>in</strong>g attitude. Asia Pasific Educ. Rev.,11:109-120.Leiss, D. (2007).Hilf mir es selbst zu tun. Franzbecker: Lehrer<strong>in</strong>terventionen beim mathematischenmodellieren.[“help me to do it myself”. Teachers’ <strong>in</strong>terventions <strong>in</strong> mathematical modell<strong>in</strong>g processes].Hildesheim: Franzbecker.ZDMLesh, R. & Doerr, H. (2003). A modell<strong>in</strong>g perspective on teacher development. In Lesh, R. & Doerr,H. (Eds), Beyond Constructivism – Models and Model<strong>in</strong>g Perspectives on Mathematics Problem Solv<strong>in</strong>g,Learn<strong>in</strong>g and Teach<strong>in</strong>g. Mahwah: Erlbaum, 125-140.L<strong>in</strong>gefjärd, T. (2006). Faces <strong>of</strong> mathematical modell<strong>in</strong>g. Zentralblatt für Didaktik der Mathematik,38 (2), 96-112.13www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Ludwig, M. & Xu, B. (July 6-13, 2008). A comparative study on mathematical modell<strong>in</strong>gcompetences with German and Ch<strong>in</strong>ese students. Proceed<strong>in</strong>gs from Topic Study Group 21 at the 11thInternational Congress on Mathematical ducation <strong>in</strong> Monterrey, Mexico. In Morten Blomhøj, SusanaCarreira(Ed.), IMFUFA Tekst nr 461- June 2009,197-206.Maaß, K. (2006). What Are Modell<strong>in</strong>g Competencies? Zentralblatt für Didaktik der Mathematik,38(2), 113-142.Marcou, A. & Lerman, S. (2007). Changes <strong>in</strong> students’ motivational beliefs and performance <strong>in</strong> a self–regulated mathematical problem-solv<strong>in</strong>g environment. Paper presented at the CERME 5. CyprusM<strong>in</strong>istry <strong>of</strong> National Education (2009). Elementary (6th-8th grades) mathematics curriculum. MilliEğitim Bakanlığı Talim ve Terbiye Kurulu Başkanlığı, Ankara: Devlet Kitapları Müdürlüğü Basım Evi.National Council <strong>of</strong> the Teachers <strong>of</strong> Mathematics-NCTMA (1989). Curriculum and evaluationstandards for sclioolmathematics.Reston, VA: Author.Niss, M. (1987) Applications and modell<strong>in</strong>g <strong>in</strong> the mathematics curriculum – state and trends. Int. J.Math. Educ. Sci. Tecnol., 18 (4), 487-505.Nyman, M. A. & Berry,J. (2002). Develop<strong>in</strong>g transferable skills <strong>in</strong> undergraduate mathmeticsstudents through mathematical modell<strong>in</strong>g. Teach<strong>in</strong>g Mathematics And İts Applications.21(1), 29-45Pollak, H. (1979). <strong>The</strong> <strong>in</strong>teraction between mathematics and other school objects. <strong>New</strong> trends <strong>in</strong>mathematics teach<strong>in</strong>g IV(pp.232-248). Paris:UNESCO.Schukajlow, S. ,Leiss, D. , Pekrun, R., Blum, W. , Müller, M. & Messner, R. (2011). Teach<strong>in</strong>gmethods for modell<strong>in</strong>g problems and students’ task-specific enjoyment, value, <strong>in</strong>terest and self-efficicayexpectations. Educ Stud Math.Şencan, H. (2005).Yayıncılık.Sosyal ve Davranışsal Ölçümlerde Güvenilirlik ve Geçerlilik. Ankara: Seçk<strong>in</strong>Verschaffel, L., Greer, B. & De Corte, E. (2000). Mak<strong>in</strong>g sense <strong>of</strong> word problems. Lisse: Swets andZeitl<strong>in</strong>ger.Yıldırım, A. & Şimşek, H. (2005). Sosyal Bilimlerde Nitel Araştırma Yöntemleri. Ankara: Seçk<strong>in</strong>Yayıncılık.14www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Critical Th<strong>in</strong>k<strong>in</strong>g Level <strong>of</strong> BiologyClassroom Survey: CtlobicsAtilla Çimer[1], Melih Timuç<strong>in</strong> [2], Mehmet Kokoç [3]ABSTRACTWith<strong>in</strong> this study, Critical Th<strong>in</strong>k<strong>in</strong>g Level <strong>of</strong> Biology Classroom Survey(CTLOBICS) was developed to determ<strong>in</strong>e to what extend Biologyclassroom environment supports Critical Th<strong>in</strong>k<strong>in</strong>g Culture. <strong>The</strong> surveywas developed by follow<strong>in</strong>g the scale development model by McMillan &Schumacher (2010). <strong>The</strong> theoretical framework <strong>of</strong> the study wasadapted from Critical Th<strong>in</strong>k<strong>in</strong>g Strategies (Paul et al., 1990). <strong>The</strong> itempool <strong>of</strong> the survey was composed <strong>of</strong> these strategies expressed <strong>in</strong>sentences and a 59-item- scale was prepared along with the collectedexpert op<strong>in</strong>ions. <strong>The</strong> pilot study was conducted with 387 9th, 10th and11th grade students from two different secondary schools located <strong>in</strong>Trabzon <strong>in</strong> Turkey. <strong>The</strong> survey was f<strong>in</strong>alized after Exploratory andConfirmatory Factor Analyses. <strong>The</strong> Survey has 32 items and 5 factors(Affective Critical Th<strong>in</strong>k<strong>in</strong>g Skills, General Th<strong>in</strong>k<strong>in</strong>g Skills, Basic CriticalTh<strong>in</strong>k<strong>in</strong>g Skills, Associat<strong>in</strong>g with Real Life, Reason<strong>in</strong>g Skills). <strong>The</strong> <strong>in</strong>nerconsistency coefficient α <strong>of</strong> the scale was calculated as 0,92.[1] Assistant Pr<strong>of</strong>essor,Department <strong>of</strong> ScienceEducationFatih Faculty <strong>of</strong> Education,Karadeniz Technical Universitycimeratilla@yahoo.com[2] PhD Candidate, Department<strong>of</strong> Science EducationFatih Faculty <strong>of</strong> Education,Karadeniz Technical Universitymeltimuc<strong>in</strong>@yahoo.com[3] PhD Candidate, Department<strong>of</strong> Computer Education andInstructional Technology,Fatih Faculty <strong>of</strong> Education &Distance Education Research andApplication Center,Karadeniz Technical Universitymkokoc@ktu.edu.trKeywords:Critical th<strong>in</strong>k<strong>in</strong>g, biology education, survey, higher orderth<strong>in</strong>k<strong>in</strong>gINTRODUCTION“Everyone th<strong>in</strong>ks. But much <strong>of</strong> our th<strong>in</strong>k<strong>in</strong>g, left to itself, is biased, distorted, partial, un<strong>in</strong>formed or down-rightprejudiced.” (Paul & Elder, 2002, p.15). <strong>The</strong> quality <strong>of</strong> our life is correlated with the quality <strong>of</strong> our th<strong>in</strong>k<strong>in</strong>g. We shouldbe aware <strong>of</strong> our th<strong>in</strong>k<strong>in</strong>g process and we should systematically improve it (Paul et.al., 1990).Different cognitive skills have been referred as Higher Order Th<strong>in</strong>k<strong>in</strong>g Skills (HOTS) by different resources (Lewis& Smith, 1993; Zohar & Dori, 2003; Paul, 2005; Tilestone, 2005 p.47-58, Mulnix, 2011). Critical Th<strong>in</strong>k<strong>in</strong>g (CriT), CreativeTh<strong>in</strong>k<strong>in</strong>g (CreT), Problem Solv<strong>in</strong>g and Reflective Th<strong>in</strong>k<strong>in</strong>g have been the most frequently mentioned HOTS. <strong>The</strong>se HOTSoverlap and co<strong>in</strong>cide at times. Still, we th<strong>in</strong>k that CriT and CreT Skills are fundamental and it is possible to express thelatter two by various comb<strong>in</strong>ations <strong>of</strong> CriT and CreT.Even the basic literacy and calculation skills were redef<strong>in</strong>ed with the <strong>in</strong>terpretation from the po<strong>in</strong>t <strong>of</strong> view <strong>of</strong>HOTS (OECD, 2005, p. 16; Kirsch, 2001, p. 1-5). Some scientists associate HOTS with the upper three levels <strong>of</strong> Bloom’sTaxonomy <strong>of</strong> Educational Objectives (Bloom et.al., 1956; Krathwohl & Anderson, 2001). So, they associate lower threelevels and all other irregular th<strong>in</strong>k<strong>in</strong>g styles with Lower Order Th<strong>in</strong>k<strong>in</strong>g (Zohar & Dori, 2003; Duron et al., 2006).Classify<strong>in</strong>g HOT and Lower Order Th<strong>in</strong>k<strong>in</strong>g by referenc<strong>in</strong>g Bloom’s Taxonomy is acceptable. However, it must be kept<strong>in</strong> m<strong>in</strong>d that the Bloom’s Taxonomy is only a classification to categorize objectives whereas HOTS like CriT or CreT arelarger scale processes substantially reflect<strong>in</strong>g on human behaviour.CRITICAL THINKINGDe Bono (1995) argues that “many highly <strong>in</strong>telligent people are bad th<strong>in</strong>kers”. He resembles the <strong>in</strong>telligence tohorsepower <strong>of</strong> a car. One may still drive the car very badly even she/he has a very powerful eng<strong>in</strong>e. CriT Skills are like15www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1from this source the item pool <strong>of</strong> the pre-scale was formed with 62 Turkish items scripted from the strategies suitableto be expressed with statements <strong>of</strong> frequency. <strong>The</strong> items <strong>of</strong> the scale were 5-choice Likert type <strong>in</strong>quir<strong>in</strong>g thefrequency <strong>of</strong> the given teacher/classroom habit. <strong>The</strong>y were graded as; (1) Less than 1 or 2 <strong>in</strong> a year / (2) 3-4 times <strong>in</strong> amonth / (3) Once <strong>in</strong> 3-4 class hours / (4) A few times <strong>in</strong> each class hour / (5) A lot <strong>of</strong> times <strong>in</strong> each class hour.Afterwards the scale was subjected to Validity Procedures, Item Analysis, Exploratory Factor Analysis, andConfirmatory Factor Analysis. Concern<strong>in</strong>g the nature <strong>of</strong> the related data, the brief explanations and f<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> theseprocedures are presented <strong>in</strong> Results section.RESULTSContent and logical validity procedures were applied to check whether the items <strong>in</strong> the pre-scale fit the def<strong>in</strong>edaims and assessment aims (Fraenkel & Wallen, 2008). For this aim the pre-scale was subjected to the supervision <strong>of</strong> 3related field and 1 assessment expert. Along with the feedback, the items <strong>of</strong> the scale were revised and altered; 3items were removed for be<strong>in</strong>g almost co<strong>in</strong>cident. 59-item pilot scale was formed. All the items were favourable th<strong>in</strong>gsdesired to happen more frequently for the sake <strong>of</strong> CriT. All the items were positive statements except for item 55‘Never gets angry when we tell the truth’ but then it excluded <strong>in</strong> the factor analyses. <strong>The</strong>n two Turkish LanguageEducation experts checked the pilot scale <strong>in</strong> terms <strong>of</strong> language comprehensibility and spell<strong>in</strong>g. F<strong>in</strong>ally, pilot scale waspre-applied to a 9 th grade classroom <strong>in</strong> another school than the sample and the students were <strong>in</strong>terviewed aboutwhether/how they understood the items <strong>of</strong> the scale. <strong>The</strong> implementation was conducted as def<strong>in</strong>ed <strong>in</strong> Sample part.Step Two: Item AnalysisItem analysis procedures were applied on the data set obta<strong>in</strong>ed from the sample by the 59-item scale. In thefirst place, item total correlation values were calculated to determ<strong>in</strong>e discrim<strong>in</strong>ation power <strong>in</strong>dex <strong>of</strong> the items. It wasconcluded that, item total correlation values varied between 0,41 and 0,69 and the values were greater than theacceptable limits (Buyukozturk, 2009).<strong>The</strong>n, skewness, kurtosis, standard deviation and average score values were exam<strong>in</strong>ed to test the datadistribution. It was observed that, standard deviation values varied between 0,84 and 1,36 while average item scoreswere between 2,29 and 4,35. Skewnees <strong>in</strong>dex value were between -1,26 and 0,68 and kurtosis <strong>in</strong>dex value werebetween -1,16 and 1,40 and these values support the normality <strong>of</strong> the distribution <strong>of</strong> the data set.Step Three: Exploratory Factor AnalysisThis step tested the structural validity <strong>of</strong> the scale. <strong>The</strong> concept <strong>of</strong> structural validity was def<strong>in</strong>ed as; “thedegree <strong>of</strong> precise measurement <strong>of</strong> an abstract concept <strong>in</strong> the context <strong>of</strong> the behaviour which is to be measured”(Buyukozturk, 2007). In this study, explanatory factor analysis and basic components analysis were applied to picturethe factor structure <strong>of</strong> the scale (Tabachnick & Fidell, 2007). Varimax Rotation Technique, which is frequently appliedand easy to <strong>in</strong>terpret, was used as factor rotat<strong>in</strong>g method (Pallant, 2001; Brown, 2006). Prior to the factor analysis,Kaiser-Meyer Olk<strong>in</strong> (KMO) and Barlett tests were performed to test the compatibility <strong>of</strong> the data and the sample forbasic components analysis (Tabachnick & Fidell, 2007).KMO coefficient was calculated 0,902 and s<strong>in</strong>ce it was greater than 0,6 it was concluded that the sample size issufficient for factor analysis (Hutcheson & S<strong>of</strong>roniou, 1999). On the other hand, Barlett test was significant at(p


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1mail, September 22, 2011). He <strong>of</strong>fered some alterations like specify<strong>in</strong>g words towards comprehensibility and criticalth<strong>in</strong>k<strong>in</strong>g term<strong>in</strong>ology for items 1, 3, 4, 5, 6, 9, 10, 12, 13, 20, 22, 25, 29, 32, 33, 37, 40, 41, and 54. Concern<strong>in</strong>gstatistical requirements, possible changes were reflected on the survey form. One comment by him needed splitt<strong>in</strong>gan item so it could not be reflected. He thought that it may be more useful if item 1 was broken <strong>in</strong>to two as: “#1Grounds content concepts, pr<strong>in</strong>ciples and processes with examples. #2 Challenges us to extrapolate general rules fromthe examples presented <strong>in</strong> class”Discussion & ConclusionSett<strong>in</strong>g sail from the po<strong>in</strong>t <strong>of</strong> support<strong>in</strong>g HOTS and assess<strong>in</strong>g them with proper tools is vital part <strong>of</strong> thecontemporary teach<strong>in</strong>g and learn<strong>in</strong>g theories, we end up with a survey hav<strong>in</strong>g 32 items and 5 factors with the <strong>in</strong>nerconsistency coefficient α=0,92. Although there are variety <strong>of</strong> scales to detect different HOT components, CTLOBICSseems to be unique with measur<strong>in</strong>g the state <strong>of</strong> CriT holistically by referenc<strong>in</strong>g the student op<strong>in</strong>ions about thefrequency <strong>of</strong> CriT <strong>in</strong>duc<strong>in</strong>g events <strong>in</strong> classroom environment. This environment is shaped not only by teachers but alsoby the <strong>in</strong>teraction between teachers and students. CTLOBICS focuses on not <strong>in</strong>dividualized talent, but the total socialeffect. This perspective, we believe, will yield another layer <strong>of</strong> quantitative data and pave way for further researches<strong>in</strong>to this field.As well as teachers and school managers may use CTLOBICS to evaluate classroom environments, it can also beused <strong>in</strong> variety <strong>of</strong> study areas particularly scientific studies conducted <strong>in</strong> contemporary teach<strong>in</strong>g/learn<strong>in</strong>g approachesbased classroom environments prioritiz<strong>in</strong>g HOT. CTLOBICS can gather data to constitute quantitative legs <strong>of</strong> suchgroups <strong>of</strong> exist<strong>in</strong>g studies (Cimer & Timuc<strong>in</strong>, 2009):Determ<strong>in</strong><strong>in</strong>g CriT skill level <strong>of</strong> various learner and teacher groups,Develop<strong>in</strong>g or improv<strong>in</strong>g educational components like learn<strong>in</strong>g environments, <strong>in</strong>structional materialsetc. by concern<strong>in</strong>g CriT and/or other HOTSInvestigat<strong>in</strong>g effects <strong>of</strong> educational <strong>in</strong>novations on CriT features <strong>of</strong> learners/teachers,Evaluat<strong>in</strong>g or develop<strong>in</strong>g curricula with respect to CriT or HOT elements.CTLOBICS can be scored <strong>in</strong> a way to have 1 for the least frequent, 2 for the next and so on, and 5 for the mostfrequent choices for each item. <strong>The</strong>refore all-32 items will yield maximum total score <strong>of</strong> 160. Classroom averages canbe used to have an idea about the CriT state <strong>of</strong> the Biology course for that classroom. In further studies, all oversurvey scores <strong>of</strong> CTLOBICS may be compared to sub-scale scores and their relations can give further ideas about theCriT state <strong>of</strong> the classroom. As there are more studies to be referenced, the factor scores and the overall score <strong>of</strong> thesurvey can be classified as high, medium, and low. If there are no results to compare, the median value <strong>of</strong> theapplications can be used to manage such classification.To a large extent, factorization <strong>of</strong> the survey was <strong>in</strong> an expected way. Based on CriT literature and def<strong>in</strong>itions,the factors were named as; Affective Critical Th<strong>in</strong>k<strong>in</strong>g Skills, General Th<strong>in</strong>k<strong>in</strong>g Skills, Basic Critical Th<strong>in</strong>k<strong>in</strong>g Skills,Associat<strong>in</strong>g with Real Life, Reason<strong>in</strong>g Skills. It was realized that the clarity and comprehensibility <strong>of</strong> the items had animportant part <strong>in</strong> healthy factor formation and eventually the existence <strong>of</strong> the items <strong>in</strong> the f<strong>in</strong>al form. <strong>The</strong>refore, itmust be focused on prepar<strong>in</strong>g items with s<strong>in</strong>gle statement and with clear, s<strong>in</strong>gle mean<strong>in</strong>g when similar scales arebe<strong>in</strong>g developed or the scale is be<strong>in</strong>g translated <strong>in</strong>to other languages. Still, the researchers or teachers to apply thissurvey should reconsider the comprehensibility <strong>of</strong> the survey concern<strong>in</strong>g the level <strong>of</strong> their students.For availability reasons this study was conducted with 4 teachers teach<strong>in</strong>g 9 th , 10 th and 11 th grades, the f<strong>in</strong>alform <strong>of</strong> CTLOBICS can be applied or re-piloted <strong>in</strong> different school types or with more homogenous samples. Moreover,the survey can be applied cross-culturally <strong>in</strong> different languages and the results may be compared. <strong>The</strong> effect <strong>of</strong>gender was not monitored <strong>in</strong> this study; further studies may <strong>in</strong>quire about the probable impact <strong>of</strong> the gender factor.CTLOBICS has no direct reference to ‘Biology Course’ <strong>in</strong> the body text so pilot studies for different courses maybe designed. Backed with literature and the observations conducted with<strong>in</strong> the other steps <strong>of</strong> the present study(Cimer & Timuc<strong>in</strong> 2010), it can be argued that add<strong>in</strong>g items or even factors concern<strong>in</strong>g student- student <strong>in</strong>teractionand humour doma<strong>in</strong>s may positively affect content validity <strong>of</strong> further studies. For future improvements <strong>of</strong> similarscales it can be recommended that; <strong>in</strong>stead <strong>of</strong> ‘slic<strong>in</strong>g out’ CriT Skills, holistic scales sensitive to all types <strong>of</strong> HOTS <strong>in</strong> theclassroom environment may be prepared conta<strong>in</strong><strong>in</strong>g factors or sub-factors as; Critical Th<strong>in</strong>k<strong>in</strong>g, Creative Th<strong>in</strong>k<strong>in</strong>g,Reflective Th<strong>in</strong>k<strong>in</strong>g and Problem Solv<strong>in</strong>g. Last but not least, customized assessment <strong>of</strong> th<strong>in</strong>k<strong>in</strong>g skills is generally more21www.tojned.net


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<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Paul, W.R., B<strong>in</strong>ker., A., Jensen, K., & Kreklau, H. (1990). Critical Th<strong>in</strong>k<strong>in</strong>g Handbook: A guide forremodel<strong>in</strong>g lesson plans <strong>in</strong> language arts, social studies and science. Rohnert Park, CA: Foundation forCritical Th<strong>in</strong>k<strong>in</strong>g.Paul, R., & Elder, L. (2002). Critical Th<strong>in</strong>k<strong>in</strong>g: Tools for Tak<strong>in</strong>g Charge <strong>of</strong> Your Pr<strong>of</strong>essional andPersonal Life. <strong>New</strong> Jersey: F<strong>in</strong>ancial Times Prentice HallPaul, W.R. (2005). <strong>The</strong> state <strong>of</strong> critical th<strong>in</strong>k<strong>in</strong>g today. <strong>New</strong> Directions for Community Colleges, 130,27-38.Rad<strong>in</strong>, J.L. (2009). Bra<strong>in</strong>-compatible teach<strong>in</strong>g and learn<strong>in</strong>g: Implications for teacher education.Educational <strong>Horizons</strong>, 88(1), 40–50.Ross. J., & Ross, C. (1976). Ross test <strong>of</strong> higher cognitive processes manual. Los Angeles, CA:Western Psychological Services.Scott, D., & Morrison, M. (2006). Key ideas <strong>in</strong> educational research. London: Cont<strong>in</strong>uumInternational Publish<strong>in</strong>g Group.Ste<strong>in</strong>, B.S., Haynes, A.F., & Unterste<strong>in</strong>, J., (2003). Assess<strong>in</strong>g Critical Th<strong>in</strong>k<strong>in</strong>g Skills. Contribution toSACS/COC Annual Meet<strong>in</strong>g / Nashville, Tennessee / December 6 - 9, 2003.Tabachnick, B.G., & Fidell, L.S. (2007). Us<strong>in</strong>g Multivariate Statistics (5th ed.). Pearson Education,Inc. / Allyn and Bacon.Taylor, P.C., & Fraser, B.J. (1991, April). Development <strong>of</strong> an <strong>in</strong>strument for assess<strong>in</strong>g constructivistlearn<strong>in</strong>g environments. Paper presented at the annual meet<strong>in</strong>g <strong>of</strong> the American Educational ResearchAssociation, <strong>New</strong> Orleans, L.A.<strong>The</strong> Critical Th<strong>in</strong>k<strong>in</strong>g Community (2011). <strong>The</strong> Critical Th<strong>in</strong>k<strong>in</strong>g Community Foundation for CriticalTh<strong>in</strong>k<strong>in</strong>g. Retrieved December 10, 2011, from http://www.criticalth<strong>in</strong>k<strong>in</strong>g.org/pages/dr-richard-paul/818<strong>The</strong> Critical Th<strong>in</strong>k<strong>in</strong>g Community-Strategy List. (2011). <strong>The</strong> Critical Th<strong>in</strong>k<strong>in</strong>g Community Foundationfor Critical Th<strong>in</strong>k<strong>in</strong>g. Retrieved December 10, 2011, from http://www.criticalth<strong>in</strong>k<strong>in</strong>g.org/pages/strategy-list-35-dimensions-<strong>of</strong>-critical-hought/466Torrance, E.P. (1966). Torrance Tests <strong>of</strong> Creative Th<strong>in</strong>k<strong>in</strong>g: Norms technical manual. Pr<strong>in</strong>ceton NJ:Personnel Press.Tileston, D. (2005). 10 best teach<strong>in</strong>g practices (2nd ed.). Thousand Oaks, CA: Corw<strong>in</strong> Press.Retrieved September 20, 2011, from Google Books,http://books.google.gm/books/about/10_best_teach<strong>in</strong>g_practices.htmlTimuc<strong>in</strong>, M. (2008). Turkish Primary School Teachers’ Perceptions About Formative Assessment, XIIIWorld Congress Of Comparative Education Societies Liv<strong>in</strong>g Together: Education And Intercultural DialogueProgram, Sarajevo, Bosnia-Herzegov<strong>in</strong>aTimuc<strong>in</strong>, M. (2009). History <strong>of</strong> Critical Th<strong>in</strong>k<strong>in</strong>g. Paper presented <strong>in</strong> 3 rd International Computer andInstructional Technologies Symposium (ICITS 2009), Trabzon, Turkey.Walsh, D., & Paul, R. (1988). <strong>The</strong> goal <strong>of</strong> critical th<strong>in</strong>k<strong>in</strong>g: From educational ideal to educationalreality. Wash<strong>in</strong>gton, D.C.: American Federation <strong>of</strong> Teachers.Watson, G., & Glaser, E. M. (1980). Watson-Glaser Critical Th<strong>in</strong>k<strong>in</strong>g Appraisal. San Antonio, TX:Psychological Corp.19.Will<strong>in</strong>gham, D.T. (2007). Critical th<strong>in</strong>k<strong>in</strong>g: Why is it so hard to teach? American Educator, 31(2), 8-Zohar, A., & Dori, Y.J. (2003). Higher order th<strong>in</strong>k<strong>in</strong>g skills and low achiev<strong>in</strong>g students: Are theymutually exclusive? <strong>The</strong> <strong>Journal</strong> <strong>of</strong> the Learn<strong>in</strong>g Sciences, 12, 145–182.24www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Experiences <strong>of</strong> First Day <strong>of</strong> Teach<strong>in</strong>gZeynep Akdağ [1], Çiğdem Haser [2][1] Faculty <strong>of</strong> Education,Yüzüncü Yıl University, Turkeyzakdag@metu.edu.trCorrespond<strong>in</strong>g author. Tel.: +90312 210 6413, Fax: +90 312 2107984[2] Faculty <strong>of</strong> Education, MiddleEast Technical University,Turkey, chaser@metu.edu.trABSTRACTPurpose <strong>of</strong> this study is to <strong>in</strong>vestigate new teachers’ first dayexpectation, challenge and cop<strong>in</strong>g strategies. In order to <strong>in</strong>vestigate thisphenomenon 16 pre-service early childhood education teachers study<strong>in</strong>gat the same teacher education program were <strong>in</strong>terviewed immediatelybefore their graduation. Participat<strong>in</strong>g teachers started to teach atdifferent cities <strong>in</strong> public schools. <strong>The</strong>n, researchers contacted with themat the end <strong>of</strong> the first semester they taught to have another <strong>in</strong>terview.Moustakas’s (1994) phenomenological analysis was utilized to analyzethe data. F<strong>in</strong>d<strong>in</strong>gs have revealed that pre-service teachers were aware<strong>of</strong> some problems that they would probably encounter <strong>in</strong> their first day<strong>of</strong> teach<strong>in</strong>g such as cry<strong>in</strong>g children. Yet, teach<strong>in</strong>g children who did notknow Turkish or teach<strong>in</strong>g 56 children <strong>in</strong> their first day were not exactlywhat they expect <strong>in</strong>itially.Keywords:Teach<strong>in</strong>g, ExperiencesINTRODUCTIONIt has been long assumed that first day <strong>of</strong> teach<strong>in</strong>g has pivotal role to shape forthcom<strong>in</strong>g school year (Flaxman,1999; Kellough, 2009; Wong & Wong; 1998). <strong>The</strong>refore, first day <strong>of</strong> teach<strong>in</strong>g requires special preparation andimplementation. It is the time for sett<strong>in</strong>g course purpose, discuss<strong>in</strong>g syllabus, and gett<strong>in</strong>g accustomed to each other(McKeachie, 2002). Well-planned and successful first day is <strong>in</strong>dicator <strong>of</strong> successful year <strong>in</strong> which both students andteacher can satisfy their needs. Meet<strong>in</strong>g with students and sett<strong>in</strong>g and expla<strong>in</strong><strong>in</strong>g rules take priority among the manyfirst day activities. If rules are not clear, relevant, simple, and straightforward, then the teacher should be ready fordisorganization <strong>in</strong> the class (Brooks, 1985; Emmer, Everston & Anderson, 1980). Consequences <strong>of</strong> appropriate and<strong>in</strong>appropriate behavior should be predeterm<strong>in</strong>ed and clarified <strong>in</strong> class and applied consistently to establish credibilityand predictability (Emmer, Everston & Anderson, 1980). Effective primary grade teachers spend more time and usevariety <strong>of</strong> <strong>in</strong>structional materials and motivate students by us<strong>in</strong>g praise <strong>in</strong> their first day <strong>of</strong> teach<strong>in</strong>g. (Bohn, Roehrig &Pressley, 2004). Many studies have showed that early career stage <strong>of</strong> teachers is characterized by lack <strong>of</strong> confidence,frustration, anxiety, stress, self-doubt, sense <strong>of</strong> <strong>in</strong>competence, classroom management problems, lack <strong>of</strong> support,pressure, low confidence, concerns, and challenges s<strong>in</strong>ce they have to deal with the teach<strong>in</strong>g load and the otherresponsibilities at school (Ach<strong>in</strong>ste<strong>in</strong>, 2006; Evans, 1997; Gold, 1996; Huberman, 1992; Ingersoll, 2001; Stokk<strong>in</strong>g,Leenders, Jong, & Tartwijk, 2003; Veenman, 1984).<strong>The</strong> first day <strong>of</strong> the class has long last<strong>in</strong>g effect on students. When students experience a positive first day, theyhave positive attitude towards both the course and the <strong>in</strong>structor, feel more motivated, and even have higher grades.On the contrary, students with negative first day experience feel less motivated even when the <strong>in</strong>structor behavek<strong>in</strong>dly throughout the course (Wilson & Wilson, 2007). <strong>The</strong> literature on the first day <strong>of</strong> school concentrated more onelementary and high school students and teachers or even college students, and less on preschool students andteachers. This study aimed to <strong>in</strong>vestigate first day <strong>of</strong> beg<strong>in</strong>n<strong>in</strong>g early childhood education (ECE) teachers by focus<strong>in</strong>gon their first day expectations before they start the pr<strong>of</strong>ession and the first day experiences when they start teach<strong>in</strong>g.Investigat<strong>in</strong>g beg<strong>in</strong>n<strong>in</strong>g teachers’ first day experiences could br<strong>in</strong>g a comprehensive understand<strong>in</strong>g <strong>of</strong> what they need25www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1and how they would overcome problems <strong>in</strong> that day.RESEARCH METHODOLOGY<strong>The</strong> study was a part <strong>of</strong> a more comprehensive study <strong>in</strong>vestigat<strong>in</strong>g beg<strong>in</strong>n<strong>in</strong>g early childhood teachers’ firstyear experiences. As the more comprehensive study was conducted <strong>in</strong> two phases, the present study was alsoconducted <strong>in</strong> two phases. <strong>The</strong> detailed recruitment process <strong>of</strong> the participants for each study and data collectionprocedures are described below.Study IA total <strong>of</strong> senior 25 pre-service early childhood education female teachers who were study<strong>in</strong>g at the same earlychildhood education program <strong>in</strong> Turkey participated <strong>in</strong> Study I. Participants had field experience courses <strong>in</strong> their 2 nd ,5 th , 7 th , and 8 th semesters <strong>in</strong> the program, each required them to spend one day per week dur<strong>in</strong>g the semester.Although pre-service teachers were only expected to observe their cooperat<strong>in</strong>g teachers <strong>in</strong> their first field experiencecourses, they generally could not stay as non-participant observers, and engaged <strong>in</strong> teach<strong>in</strong>g earlier than otherteacher education students. <strong>The</strong>y carried on field experience <strong>in</strong> private schools at the first three practicum coursesand they ga<strong>in</strong>ed experience <strong>in</strong> public schools at the last practicum course. All <strong>of</strong> the field practice schools were located<strong>in</strong> Ankara, Turkey and served middle and high <strong>in</strong>come level parents; thus, participants had no experience with childrencom<strong>in</strong>g from low <strong>in</strong>come level and rural areas. <strong>The</strong> participants were <strong>in</strong> their end <strong>of</strong> the 8 th semester when Study I wasconducted.<strong>The</strong> participat<strong>in</strong>g pre-service teachers were asked to imag<strong>in</strong>e their first day <strong>in</strong> class with their studentsimmediately before their graduation. <strong>The</strong>y were <strong>in</strong>terviewed through semi-structured <strong>in</strong>terview protocol designed forthe actual study. <strong>The</strong>y had never been <strong>in</strong> a practicum school on the first day <strong>of</strong> teach<strong>in</strong>g s<strong>in</strong>ce practicum starts afterschools were opened, and were asked to imag<strong>in</strong>e their first day <strong>of</strong> teach<strong>in</strong>g, expectations, preparation and cop<strong>in</strong>gstrategies if they would encounter problems <strong>in</strong> that day.Study IIMany participants <strong>of</strong> Study I were hired by the M<strong>in</strong>istry <strong>of</strong> National Education (MONE) to work at public schoolsdue to the efforts <strong>in</strong> <strong>in</strong>creas<strong>in</strong>g the school<strong>in</strong>g rate <strong>in</strong> early childhood education <strong>in</strong> Turkey. Consider<strong>in</strong>g that theparticipants mostly had private school experiences <strong>in</strong> a large capital city, Study II participants were chosen among theStudy I participants who were work<strong>in</strong>g <strong>in</strong> public schools and were likely to have a first day experience <strong>in</strong> an unfamiliarcontext. A total <strong>of</strong> 16 participants work<strong>in</strong>g <strong>in</strong> 10 different cities <strong>in</strong> Turkey were recruited for Study II and it wasperformed after the first semester that participat<strong>in</strong>g teachers taught. <strong>The</strong>y were asked about their experiences <strong>in</strong> thefirst day <strong>of</strong> teach<strong>in</strong>g, their preparation process, and their experiences. Three participants provided written answers forthe <strong>in</strong>terview questions s<strong>in</strong>ce they worked <strong>in</strong> the most distant cities dur<strong>in</strong>g the study.Data Analysis<strong>The</strong> phenomenological analysis developed by Moustakas (1994) was used <strong>in</strong> this study to analyze the data. <strong>The</strong><strong>in</strong>terviews conducted for the study were transcribed verbatim for the phenomenological analysis. <strong>The</strong> analysis startedwith highlight<strong>in</strong>g significant statements that provided an understand<strong>in</strong>g <strong>of</strong> the how participants experienced thephenomenon. <strong>The</strong>n, the mean<strong>in</strong>g or mean<strong>in</strong>g units are listed from the significant statements. Researchers removedoverlapp<strong>in</strong>g and repetitive statements so that clusters and themes had appeared. Textural descriptions <strong>of</strong> theexperience was formed us<strong>in</strong>g clustered themes and mean<strong>in</strong>gs and essence <strong>of</strong> the phenomenon were constructed(Moustakas, 1994). Data analysis process was monitored by researchers <strong>in</strong> the field <strong>of</strong> teacher education and earlychildhood education. Participants were referred by “P” followed by a number.FINDINGSStudy IParticipants’ perceptions and expectations about their first day at school was asked <strong>in</strong> order to <strong>in</strong>vestigate thetypes <strong>of</strong> problems or supports they thought they might have at schools. P1 summarized all participants’ expectations<strong>of</strong> first day:“Due to separation anxiety children might not want to come to school, do not want to come <strong>in</strong>to the class. Iknow that the type <strong>of</strong> children I will meet first day are cry<strong>in</strong>g children... When I imag<strong>in</strong>e first day it is a chaos”.26www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1P3 associated her concern with be<strong>in</strong>g an ECE teacher:“I do not know what should I do or what should I say… but I have self doubt. Do I look like a teacher? If I were acontent area teacher I would expla<strong>in</strong> units, I would ask their expectation about course… Content area teachers’ firstday is easy but ECE teachers’ [first day] is not”.<strong>The</strong>y expected chaos <strong>in</strong> the class where many children would cry and not know<strong>in</strong>g what to do lead someparticipants to plan the first day ahead.P9 expressed her imag<strong>in</strong>ed first day as follows:“Probably it will be most planned day <strong>of</strong> my teach<strong>in</strong>g life...I might plan an activity <strong>in</strong>volv<strong>in</strong>g parents. I meetparents, children get know each other...children <strong>in</strong>troduce themselves and mention about their characteristics”.Participants seemed to plan to focus on help<strong>in</strong>g children to overcome their school anxiety due to be<strong>in</strong>gseparated from their parents <strong>in</strong> their first day. P15 was plann<strong>in</strong>g to separate children from their parents step by stepto lessen their fear <strong>of</strong> be<strong>in</strong>g alone <strong>in</strong> the class:“Children might <strong>in</strong>sist that their mothers do not leave class. At first I let mothers to stay <strong>in</strong> class then they willstay <strong>in</strong> front <strong>of</strong> the door. I mean mothers leave the class step by step so that it would not be a sudden separation bothfor children and parents”.P7 claimed that she would try to make children take possession <strong>of</strong> class so that they would get used to schooleasily:“I will ask children to br<strong>in</strong>g someth<strong>in</strong>g from home <strong>in</strong> order to make children take possession <strong>of</strong> class or they willdraw a picture and hang it on wall. I want to create a sense <strong>of</strong> community <strong>in</strong> the class”.P12 remembered her first day <strong>in</strong> an ECE class when she was a child and her problems. She expected to receivethe support that beg<strong>in</strong>n<strong>in</strong>g teachers might need:“I went to ECE class for a week and I remember my first day that I really struggled. It was difficult to get used toother children and the teacher. Besides, it was difficult to be separated from mother and to come to school... Isuppose there is a guide to <strong>in</strong>form me about children. I th<strong>in</strong>k schools never suddenly leave teacher with childrenalone. At least if I had a school I never leave beg<strong>in</strong>n<strong>in</strong>g teacher with children”.Study IIEven <strong>in</strong> normal circumstances handl<strong>in</strong>g first day <strong>of</strong> school is difficult for new teachers. This study showed thatM<strong>in</strong>istry <strong>of</strong> National Education’s (MONE) <strong>in</strong>appropriate practice made first day <strong>of</strong> teach<strong>in</strong>g even more troublesome fornovice teachers. Infrastructure problems and delay <strong>in</strong> teacher appo<strong>in</strong>tment for public schools were ma<strong>in</strong> problemsorig<strong>in</strong>ated from MONE itself. In this study most <strong>of</strong> the participants were appo<strong>in</strong>ted after school opened which madethem start to teach suddenly. P5 exemplified a typical entry <strong>in</strong>to teach<strong>in</strong>g <strong>in</strong> public schools:“We visited school for gett<strong>in</strong>g <strong>in</strong>formation about school. I have not applied for <strong>of</strong>ficial procedure. We justvisited the school to see. Adm<strong>in</strong>istrators had so many works and they were busy. <strong>The</strong>y asked me to enter class <strong>in</strong> thatday. I accepted”MONE’s unorganized hir<strong>in</strong>g policy <strong>in</strong>creased negative effects <strong>of</strong> sudden entry. Beg<strong>in</strong>n<strong>in</strong>g teachers would havesome time to get used to school and local culture where the school is located. However, MONE appo<strong>in</strong>ted teacherswith delay and beg<strong>in</strong>n<strong>in</strong>g teachers lost that chance to orient themselves <strong>in</strong> an unfamiliar situation. P3 expressed hernegative feel<strong>in</strong>gs <strong>in</strong> follow<strong>in</strong>g quotation:“Our appo<strong>in</strong>tment was delayed. Normally we needed to start on September 1 st but my start-up was September18 th . I came and started. <strong>The</strong>re was no orientation for me. I was not familiar with this town, I was not familiar withschool, and I did not know anyone. I hope it will not happen to this year's newly appo<strong>in</strong>ted teachers. <strong>The</strong>y would beappo<strong>in</strong>ted <strong>in</strong> August and know where they will go. I arrived <strong>in</strong> town with my father and here you go I started. It wasjust like a nightmare. I do not even want to remember.”First day <strong>of</strong> teach<strong>in</strong>g was not much different than what beg<strong>in</strong>n<strong>in</strong>g teachers expected. Teachers had to deal withcry<strong>in</strong>g children. P1 mentioned about her first day:“First day many many children cried... First week passed with cry<strong>in</strong>g children and separation anxiety. We couldnot make activities orderly <strong>in</strong> the first week. Just orient<strong>in</strong>g and enjoy<strong>in</strong>g school [activities]”.27www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1First day <strong>of</strong> school is even more difficult with young age groups. Number <strong>of</strong> children <strong>in</strong> young age group isrestricted accord<strong>in</strong>g to early childhood education legislation. Yet, adm<strong>in</strong>istrators sometimes register more childrenthan the class capacity. Large class size and hav<strong>in</strong>g young age group made th<strong>in</strong>gs harder for P5 <strong>in</strong> first days.Fortunately, all <strong>of</strong> the participants were well aware that chaotic class atmosphere was temporary and it would lastquite a while until the class order settle down. She was not panicked and handled the situation:“First days passed terribly. I th<strong>in</strong>k 24 children were even too many for 6-year-old class. Besides, some <strong>of</strong> thechildren were too young. <strong>The</strong>y were 2.5 years old. I was surprised. [Her mother] brought such a small child <strong>in</strong>to class. Iwould not do that. <strong>The</strong>y were all cry<strong>in</strong>g. Especially 8 children were cry<strong>in</strong>g badly. <strong>The</strong>y were cry<strong>in</strong>g madly. <strong>The</strong>y werenot ready. <strong>The</strong>y cannot separate from mothers. School made an unreasonable decision by register<strong>in</strong>g such a youngchildren...<strong>The</strong>y were all cry<strong>in</strong>g and I realized that it was mean<strong>in</strong>gless to play or do someth<strong>in</strong>g else. Noth<strong>in</strong>g else tooktheir attention. <strong>The</strong>y were scream<strong>in</strong>g, struggl<strong>in</strong>g desperately due to their mother’s absence. I found it hard to handlechildren but I was not panicked that much. I knew that it was a temporary situation.”Keep<strong>in</strong>g 3-years old children <strong>in</strong> class was considered as accomplishment at first day. P9 expla<strong>in</strong>ed difficulty <strong>of</strong>work<strong>in</strong>g with young age group:“My first day <strong>in</strong> class was very difficult. I chose to work with 3-year-old children but first 10 days passed withregret. I remember that I said: I wish I had chosen 6-year-old children. I had 13 children...<strong>The</strong>y were cont<strong>in</strong>uouslycry<strong>in</strong>g...they were escap<strong>in</strong>g class to see their sibl<strong>in</strong>gs at upper classes.I was sitt<strong>in</strong>g <strong>in</strong> front <strong>of</strong> the door. Children were shocked at first day. Beside I was kicked and hit [by children]”Uncerta<strong>in</strong>ty stemm<strong>in</strong>g from lack <strong>of</strong> experience was characteristics <strong>of</strong> the first day <strong>of</strong> teach<strong>in</strong>g. Even though theyprepared daily plan and activities before com<strong>in</strong>g class, all <strong>of</strong> the beg<strong>in</strong>n<strong>in</strong>g teachers had time management problems<strong>in</strong> first days. Beg<strong>in</strong>n<strong>in</strong>g teachers needed some time to set the flow <strong>of</strong> day. P2 mentioned about her first days:“It has f<strong>in</strong>ished <strong>in</strong> 3 or 4 hours. I felt that I do know anyth<strong>in</strong>g. As if I did not study ECE program. I was puzzledwhat to do. <strong>The</strong>n I gave pa<strong>in</strong>t<strong>in</strong>g papers. I said Oh! Should I have given this? I was panicked. [Daily plans] were notenough first 2-3 months and I was go<strong>in</strong>g with 2-3 plans.”Beg<strong>in</strong>n<strong>in</strong>g teacher’s problems could not be restricted <strong>in</strong> first days rather whole week can be considered assettl<strong>in</strong>g down process <strong>in</strong> school as illustrated by P4:“After talk<strong>in</strong>g about what we are go<strong>in</strong>g to do whole day, we looked around the school. We showed d<strong>in</strong><strong>in</strong>g halland sleep<strong>in</strong>g room. First week passed with cry<strong>in</strong>g children and children who did not want to separate from mother.Besides activities was not conducted regularly because [we wanted to] made them just get used to school and loveschool. Let them play with what they want to play. It passed freely.”Similarly, P10 expressed how hard her first week <strong>of</strong> teach<strong>in</strong>g:“I could not even differentiate as first day. My first week was a chaos. Let's say. I was not even aware <strong>of</strong> whatwas I do<strong>in</strong>g because there was a bunch <strong>of</strong> th<strong>in</strong>gs that I did not know which one I should handle. I was try<strong>in</strong>g to knowpeople, children, and parents. Everyth<strong>in</strong>g simultaneously came over me.”Even though participants expected challeng<strong>in</strong>g first day <strong>of</strong> teach<strong>in</strong>g, their experience exceeded what theypredict <strong>in</strong> remote areas. Beg<strong>in</strong>n<strong>in</strong>g teachers sometimes experienced region specific problems. Substantial regionaldifferences between eastern and western part <strong>of</strong> Turkey caused some problems for teachers. P6 was unable to usemost vital tool for teachers that language:“I was shocked when I saw preschool children. We could not communicate because children did not knowTurkish. <strong>The</strong>re were 60-70 children and 6-7 teachers <strong>in</strong> class and it was exactly a chaos”.P13 found her own solution for children who did not know Turkish:“At the beg<strong>in</strong>n<strong>in</strong>g we communicate with body language. 3 or 4 children know Turkish. <strong>The</strong> others understandbut cannot speak. Some <strong>of</strong> them neither understand nor speak. I used body language and showed visual materials...Tosay “sit down” I show sitt<strong>in</strong>g”Challenges <strong>of</strong> first days even affected teachers’ health. Twelve participants lost their voice <strong>in</strong> first weeksbecause <strong>of</strong> speak<strong>in</strong>g loudly or us<strong>in</strong>g wrongly. Problems with P8's voice cont<strong>in</strong>ued throughout year and caused<strong>in</strong>convenience <strong>in</strong> her teach<strong>in</strong>g:28www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1“I had pharyngitis when I began to teach<strong>in</strong>g. I lost my voice for ten days <strong>in</strong> first semester. My voice still goestime to time. It is awful. Noth<strong>in</strong>g can be worse than los<strong>in</strong>g voice for teachers. I am still <strong>in</strong> a difficulty and I cannot speakfor a long time.”Beg<strong>in</strong>n<strong>in</strong>g teachers' fear and concern about be<strong>in</strong>g responsible <strong>of</strong> all class dim<strong>in</strong>ished <strong>in</strong> time as stated by P11:“At first I frighten a lot. I was th<strong>in</strong>k<strong>in</strong>g <strong>in</strong> practicum course that what would happen, if I totally <strong>in</strong> charge <strong>of</strong> thisclass. I was seriously frightened. Would I be able to manage? Would I be able to direct? Is a problem go<strong>in</strong>g to arise?Would I be able to make cry<strong>in</strong>g children calm down? However, I had a courage when I began. My fear has gone”.Not all beg<strong>in</strong>n<strong>in</strong>g teachers experienced problems <strong>in</strong> their first days. P14 expla<strong>in</strong>ed why she did not have muchtrouble <strong>in</strong> first day:“Additionally, I did not experience much trouble the first days because we played so much play. I did not letchildren free. We cont<strong>in</strong>uously played, and sang. <strong>The</strong>re was a cont<strong>in</strong>uous action. We never sit and conduct tableactivities. We cont<strong>in</strong>uously played, jumped, played music and made sport. It passed like that.”DISCUSSION AND CONCLUSIONThis study exam<strong>in</strong>ed how pre-service teachers feel about their first day <strong>of</strong> teach<strong>in</strong>g and their preparation forthat day. F<strong>in</strong>d<strong>in</strong>gs <strong>in</strong>dicated that pre-service teachers feel <strong>in</strong>secure about their first day and they do not feel ready tohandle first day <strong>of</strong> teach<strong>in</strong>g. <strong>The</strong>y expected to experience chaos <strong>in</strong> class because <strong>of</strong> cry<strong>in</strong>g children which makes themsuspect their self- efficiency, pr<strong>of</strong>iciency to keep young children under control, content knowledge and ability to meetthe needs <strong>of</strong> all children, parents, and adm<strong>in</strong>istrators. Participants had concerns about their self-confidence bothbefore start<strong>in</strong>g the pr<strong>of</strong>ession and at the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong> the pr<strong>of</strong>ession. Accord<strong>in</strong>g to Fuller’s (1969) teacher concernstheory, teachers’ primary concern is self oriented and focus on be<strong>in</strong>g successful as a teacher at the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong>pr<strong>of</strong>ession. <strong>The</strong>y are concerned with their self-efficiency and suspect their pr<strong>of</strong>iciency to control classes, their contentknowledge and meet<strong>in</strong>g the needs <strong>of</strong> students, parents, and adm<strong>in</strong>istrators. However, teacher’s concerns lessen asthey ga<strong>in</strong> experience (Ghait & Shaaban, 1999). <strong>The</strong> first day <strong>of</strong> teach<strong>in</strong>g was not much different than what beg<strong>in</strong>n<strong>in</strong>gteachers expected. Almost all <strong>of</strong> them had to deal with terribly cry<strong>in</strong>g children and tried to make them calm, get usedto school, and accept their mother’s absence <strong>in</strong> class. <strong>The</strong>y even spent weeks attempt<strong>in</strong>g to settle down classroomactivities. At first teachers allowed parents to enter class to lessen children’s fear and make them feel secure <strong>in</strong> class.<strong>The</strong>n, they sent parents away step-by-step. After that, they tried to <strong>in</strong>troduce school, daily rout<strong>in</strong>es, and basic rules.<strong>The</strong> f<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> this study revealed that most <strong>of</strong> the problems orig<strong>in</strong>ated from MONE's system itself.Unfortunately, standards are chang<strong>in</strong>g region to region <strong>in</strong> a dist<strong>in</strong>ct way <strong>in</strong> elementary and secondary education.Participants were expect<strong>in</strong>g to meet cry<strong>in</strong>g children <strong>in</strong> their first day <strong>of</strong> school. Nevertheless, they did not expect toencounter large class population for young age groups, start to teach <strong>in</strong> the middle <strong>of</strong> semester, and teach<strong>in</strong>g childrenwho did not know Turkish. Several problems might stem from sudden <strong>in</strong>crease <strong>in</strong> school<strong>in</strong>g rate <strong>in</strong> ECE as the <strong>in</strong>crease<strong>in</strong> the quantity <strong>of</strong> ECE classes br<strong>in</strong>gs the question <strong>of</strong> quality. Twelve participants experienced some sort <strong>of</strong> difficultiesbecause <strong>of</strong> <strong>in</strong>frastructure problems and material shortage. For <strong>in</strong>stance, two participants were appo<strong>in</strong>ted <strong>in</strong> schoolswhich are still under construction and two participants were appo<strong>in</strong>ted to schools which do not have ECE classes. <strong>The</strong>others experienced <strong>in</strong>frastructure problems <strong>in</strong> different levels. Infrastructure problems did not always appear <strong>in</strong>school structure. In some situations schools were totally ready and children were already registered but teacherappo<strong>in</strong>tment did not take place on time. Infrastructure problems negatively affected parents, adm<strong>in</strong>istrators, andchildren, yet the worst outcome is for beg<strong>in</strong>n<strong>in</strong>g teachers. <strong>The</strong>y might be disappo<strong>in</strong>ted greatly and lose theirenthusiasm with the negative start <strong>in</strong> pr<strong>of</strong>ession For <strong>in</strong>stance; one <strong>of</strong> the participants had to teach 56 students at firstdays s<strong>in</strong>ce other two teachers have not been appo<strong>in</strong>ted yet. Consider<strong>in</strong>g that classroom management is one <strong>of</strong> thebiggest problems <strong>of</strong> beg<strong>in</strong>n<strong>in</strong>g teachers, large class size might affect their teach<strong>in</strong>g practice severely (Wyatt & White,2007; Fottland, 2004; Pigge & Marso, 1997). <strong>The</strong> <strong>in</strong>crease <strong>in</strong> classroom population decreases child-teacher <strong>in</strong>teractionas it limits the capacity <strong>of</strong> teachers to deal with behavior problems (Essa, 2003). Although <strong>in</strong>frastructure problems arecharacterized <strong>in</strong> remote areas, it also appears <strong>in</strong> more developed cities.<strong>The</strong> beg<strong>in</strong>n<strong>in</strong>g teacher’s entry <strong>in</strong>to teach<strong>in</strong>g pr<strong>of</strong>ession is sudden, immediately after graduation they have thesame responsibility with the experienced teachers (Lehman, 2000). MONE recruitment policy makes this situationworse s<strong>in</strong>ce beg<strong>in</strong>n<strong>in</strong>g teachers should have some time to orient themselves <strong>in</strong> a new pr<strong>of</strong>ession and local culturewhere the school is located. However, beg<strong>in</strong>n<strong>in</strong>g teachers were hired after schools opened and they lost that chanceto get used to unfamiliar circumstances. Furthermore, they did not expect to encounter a construction area <strong>in</strong>stead <strong>of</strong>a fully organized class, large class population for young age groups, start<strong>in</strong>g to teach <strong>in</strong> the middle <strong>of</strong> the semester,29www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1and teach<strong>in</strong>g children who did not know Turkish. Beg<strong>in</strong>n<strong>in</strong>g teachers already feel puzzled because <strong>of</strong> their<strong>in</strong>experience and those <strong>in</strong>frastructure problems make beg<strong>in</strong>n<strong>in</strong>g teachers’ first day even more chaotic.MONE curriculum also results <strong>in</strong> additional problems as the education system <strong>in</strong> Turkey highly centralized andteacher education program does not <strong>in</strong>clude any course about regional differences. Most <strong>of</strong> the children <strong>in</strong> easternpart are bil<strong>in</strong>gual and their mothers do not speak <strong>in</strong> Turkish; however, sole and similar teacher education programs forall population do not consider target population’s characteristics (AÇEV, 2002). Participants <strong>in</strong> this study did not workwith children com<strong>in</strong>g from different socio economic background dur<strong>in</strong>g their undergraduate education. <strong>The</strong>y hadworked with children with middle and upper-middle socio economic status. <strong>The</strong>y did not meet what they were tra<strong>in</strong>edfor and they did not have time for gett<strong>in</strong>g ready for this unexpected situation. As such, this study addressed theweaknesses <strong>of</strong> early childhood teacher education programs <strong>in</strong> tra<strong>in</strong><strong>in</strong>g teachers for children with diverse backgroundsand for manag<strong>in</strong>g the challenges <strong>in</strong> the first days <strong>in</strong> teach<strong>in</strong>g. Besides, current study po<strong>in</strong>ted out that most <strong>of</strong> theproblems take its roots from cumbersome bureaucracy <strong>in</strong> MONE. Yet, the f<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> the study was limited to the selfreports<strong>of</strong> the participants. Observ<strong>in</strong>g beg<strong>in</strong>n<strong>in</strong>g teachers <strong>in</strong> their first day <strong>of</strong> teach<strong>in</strong>g could br<strong>in</strong>g a comprehensiveunderstand<strong>in</strong>g <strong>of</strong> what they had experienced and how they would overcome problems <strong>in</strong> that day.REFERENCESAch<strong>in</strong>ste<strong>in</strong> , B. (2006). <strong>New</strong> teacher and mentor political literacy: read<strong>in</strong>g, navigat<strong>in</strong>g andtransform<strong>in</strong>g <strong>in</strong>duction contexts. Teachers and Teach<strong>in</strong>g: theory and practice,12(2), 123-138.Anne Çocuk Eğitim Vakfı (2002, January). Türkiye’de okulöncesi eğitimi: Hizmete duyulanihtiyaçların saptanması ve çocuğun dil yetisi düzey<strong>in</strong><strong>in</strong> değerlendirilmesi araştırma raporu. AnkaraBohn, C., Roehrig, A., & Pressley, M. (2004). <strong>The</strong> first days <strong>of</strong> school <strong>in</strong> the classrooms <strong>of</strong> two moreeffective and four less effective primary-grades teachers. Elementary School <strong>Journal</strong>, 104(4), 269-287.Brooks, D. M. (1985). <strong>The</strong> first day <strong>of</strong> school. Educational Leadership, 76-78.Emmer, E. Evertson, C., & Anderson, L. (1980).Effective classroom management at the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong>the year. Elementary School <strong>Journal</strong>, 80, 219-231.Essa, E. L. (2003). Introduction to early childhood education (4 th ed.). Canada: Delmar Learn<strong>in</strong>g.Evans, L. (1997). Address<strong>in</strong>g problems <strong>of</strong> conceptualization and construct validation <strong>in</strong> research<strong>in</strong>gteachers’ job satisfaction. Educational Research, 39, 319-331.Flaxman, S.G. (1999). Openn<strong>in</strong>g bell. Get organized for the first day <strong>of</strong> school with this handchecklist. Instructor, 110, 20-21.Fottland, H. (2004). Memories <strong>of</strong> a fledgl<strong>in</strong>g teacher: a beg<strong>in</strong>n<strong>in</strong>g teacher's autobiography. Teachersand Teach<strong>in</strong>g: <strong>The</strong>ory and Practice, 10(6), 639-662.Fuller, F. F. (1969). Concerns <strong>of</strong> teachers: A developmental characterization. American EducationalResearch <strong>Journal</strong>, 6, 207–226.Ghaith, G, & Shaaban, K. (1999). <strong>The</strong> Relationship Between Perceptions <strong>of</strong> Teach<strong>in</strong>g Concerns,Teacher Efficacy, and Selected Teacher Characteristics. Teach<strong>in</strong>g and Teacher Education, 15(5), 487 -496.Gold, Y. (1996). Beg<strong>in</strong>n<strong>in</strong>g teacher support: Attrition, mentor<strong>in</strong>g and <strong>in</strong>duction. In J. Sikula, T. J.Buttery, & E. Guyton (Eds.), Handbook <strong>of</strong> research on teach<strong>in</strong>g education (pp. 548–594). <strong>New</strong> York:Macmillan.Huberman, M. (1992). Teacher development and <strong>in</strong>structional mastery, <strong>in</strong>: D. Hargreaves & M.Fullan (Eds) Understand<strong>in</strong>g teacher development. <strong>New</strong> York: Longman Publishers.Ingersoll, R. M. (2001). Teacher turnover and teacher shortages: An organizational analysis.American Educational Research <strong>Journal</strong>, 38(3), 499–534.Kellough, R. D. (2009). Your first year <strong>of</strong> teach<strong>in</strong>g : guidel<strong>in</strong>es for success. Boston: PearsonLehman, M. B. (2000). Expectations, social support, and job satisfaction among first-year Oregonteachers. Unpublished doctoral dissertation, University <strong>of</strong> Oregon.McKeachie, W. J. (2002). Meet<strong>in</strong>g a class for the first time. In W. J. McKeachie and others,McKeachie’s Teach<strong>in</strong>g tips: Strategies, research and theory for college and university teachers (11 th ed.,pp.21-28) Boston: Houghton-Miffl<strong>in</strong>.30www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Moustakas, C. (1994). Phenomenological research methods. Thousand Oaks, CA: SagePigge, F. & Marso, R. (1997) A seven-year longitud<strong>in</strong>al multi-factor assessment <strong>of</strong> teach<strong>in</strong>g concernsdevelopment through preparation and early years <strong>of</strong> teach<strong>in</strong>g, Teach<strong>in</strong>g and Teacher Education,13(2),225–235.Stokk<strong>in</strong>g, K., Leenders, F., Jong, J. D., & Tartwijk, J. V. (2003). From student to teacher:Reduc<strong>in</strong>g practice shock and early dropout <strong>in</strong> the teach<strong>in</strong>g pr<strong>of</strong>ession. European <strong>Journal</strong> <strong>of</strong> TeacherEducation, 26(3), 329-350.Veenman, S. (1984). Perceived problems <strong>of</strong> beg<strong>in</strong>n<strong>in</strong>g teachers. Review <strong>of</strong> Educational Research,54(2), 143-178.31www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1GPSS Interactive Learn<strong>in</strong>g EnvironmentVillarreal Gonzalo L. [1], De Giusti Marisa R.[2], Texier José [3]ABSTRACTThis work presents an open source web environment to learn GPSSlanguage <strong>in</strong> Model<strong>in</strong>g and Simulation courses. With this environment,students build their models by select<strong>in</strong>g entities and configur<strong>in</strong>g them<strong>in</strong>stead <strong>of</strong> programm<strong>in</strong>g GPSS codes from scratch. Teachers can alsocreate models so that students can apply, analyze and <strong>in</strong>terpret results.Thus, it <strong>in</strong>cludes a simulation eng<strong>in</strong>e that stores snapshots <strong>of</strong> models asthey are executed, and allows students to navigate through thesesnapshots. <strong>The</strong> environment may be comb<strong>in</strong>ed with exist<strong>in</strong>g learn<strong>in</strong>gmanagement systems.[1] Consejo Nacional deInvestigaciones Científicas yTécnicas (CONICET) and Proyectode Enlace de Bibliotecas (PrEBiUNLP), 49 street and 115, LaPlata (1900), Argent<strong>in</strong>a[2] Comisión de InvestigacionesCientíficas de la Prov<strong>in</strong>cia deBuenos Aires (CIC) and Proyectode Enlace de Bibliotecas (PrEBiUNLP), 49 street and 115, LaPlata (1900), Argent<strong>in</strong>a[3] Consejo Nacional deInvestigaciones Científicas yTécnicas (CONICET), UniversidadNacional Experimental delTáchira (UNET) and Proyecto deEnlace de Bibliotecas (PrEBiUNLP), 49 street and 115, LaPlata (1900), Argent<strong>in</strong>aKeywords:Mathematical model<strong>in</strong>g; prospective mathematicsteacher; teacher <strong>in</strong>structional practices; case study.INTRODUCTIONProgramm<strong>in</strong>g discrete simulation models can be successfully accomplished us<strong>in</strong>g general purpose programm<strong>in</strong>glanguages, such as Java or C++, or specialized languages like General Purpose Simulation System (GPSS) or Simula.While the former are known by any programmer, the latter <strong>in</strong>troduce entities and processes <strong>in</strong> a higher abstractionlevel as well as a set <strong>of</strong> analysis tools to obta<strong>in</strong> data from simulated models. Thus, simulation languages greatlyfacilitate the development and execution <strong>of</strong> simulations <strong>of</strong> complex real-world systems. Most general purposeprogramm<strong>in</strong>g languages are designed around a set <strong>of</strong> <strong>in</strong>structions that control the execution <strong>of</strong> an algorithm:sequences, iterations and conditions are organized <strong>in</strong> objects, rout<strong>in</strong>es and subrout<strong>in</strong>es. Accord<strong>in</strong>g to thissimplification <strong>of</strong> programm<strong>in</strong>g languages, learn<strong>in</strong>g to build programs requires understand<strong>in</strong>g what basic rout<strong>in</strong>es doand how they can be comb<strong>in</strong>ed to deliver a recipe for the computer to execute.<strong>The</strong> behavior <strong>of</strong> a system as it evolves over time is usually studied by develop<strong>in</strong>g a simulation model. Thismodel usually takes the form <strong>of</strong> a set <strong>of</strong> assumptions concern<strong>in</strong>g the operation <strong>of</strong> the system and, once developed andvalidated, it can be used to <strong>in</strong>vestigate a wide variety <strong>of</strong> “What if?” questions about the real-world system. Eachsimulation language generally possesses an orientation to real-world situations, which may be classified as eventorientedor process-oriented. Simulation languages exist to make it easier to build models for analysis and to answerthose what-if questions. Understand<strong>in</strong>g the output <strong>of</strong> a simulation after it was executed is as important asprogramm<strong>in</strong>g the model. To learn an event-driven simulation approach, a few major concepts need to be<strong>in</strong>corporated: entities, events, queue theory, simulation times, etc. Thus, learn<strong>in</strong>g a simulation language requiresunderstand<strong>in</strong>g the syntax and semantics <strong>of</strong> the language to manage those new concepts. Unlike general programm<strong>in</strong>glanguages, simulation languages are not built around basic or atomic <strong>in</strong>structions. Instead, they are based on highlevel sentences represent<strong>in</strong>g entities with abstract attributes and specific behavior. <strong>The</strong> comb<strong>in</strong>ation <strong>of</strong> thesesentences describes several system components and their <strong>in</strong>teractions. Simulation languages are so powerful becausethey allow programmers to create complex models with very few l<strong>in</strong>es <strong>of</strong> code, run those models and f<strong>in</strong>ally retrieve<strong>in</strong>formation – general data and statistics – that expla<strong>in</strong>s the behavior <strong>of</strong> the system. In the academia, GPSS (GeneralPurpose Simulation System) is a widely used alternative for model<strong>in</strong>g and simulation used for teach<strong>in</strong>g discretesystems. GPSS is processes-oriented and def<strong>in</strong>es the structure <strong>of</strong> models based on a set <strong>of</strong> language commands. Each32www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1command describes processes, with attributes and subrout<strong>in</strong>es <strong>in</strong>side, which affect the model be<strong>in</strong>g represented. <strong>The</strong>language supplies lots <strong>of</strong> entities for the programmer and more than 50 commands to deal with them: create, use,release and query their status. <strong>The</strong>re exists a small set <strong>of</strong> available tools and <strong>in</strong>tegrated development environments(IDE) for GPSS dialects. Most <strong>of</strong> them <strong>of</strong>fer a place to write the model and to run it and they display reports regard<strong>in</strong>gthe simulation execution results. Code assistance and visual aids for the user dur<strong>in</strong>g the programm<strong>in</strong>g stage are rarelyseen here. Besides, deep analysis tools <strong>of</strong> how the simulation – and its entities – progressed and changed are quiteunusual too. All <strong>of</strong> these tools are tremendously useful once programmers know GPSS well, but they are not suitablefor newcomers that need to learn everyth<strong>in</strong>g from the ground up. Consequently, students spend most class timelearn<strong>in</strong>g how to specify and comb<strong>in</strong>e entities <strong>in</strong> a particular language <strong>in</strong>stead <strong>of</strong> focus<strong>in</strong>g on acquir<strong>in</strong>g importantsimulation skills, such as mapp<strong>in</strong>g real systems <strong>in</strong>to abstract models, identify<strong>in</strong>g <strong>in</strong>put and output variables and so on.In this work, a web-based <strong>in</strong>teractive learn<strong>in</strong>g environment (ILE) for GPSS is presented. <strong>The</strong> ILE was built uponan <strong>in</strong>tuitive graphic user <strong>in</strong>terface (GUI), based on dialogues and visual aids and a simulation eng<strong>in</strong>e improved forlearn<strong>in</strong>g purposes. As with most web applications, no <strong>in</strong>stallation process is <strong>in</strong>volved s<strong>in</strong>ce the whole application canbe exposed through a web server. In addition, the application architecture –split <strong>in</strong>to several layers based on theclient-server model– enables the ILE to be plugged <strong>in</strong>to other web systems, <strong>in</strong> particular Learn<strong>in</strong>g ManagementSystems (LMS) such as Moodle (Moodle, 2012) Sakai Project (Sakai Proyect, 2012) and LRN (LRN, 2012). Modelscreated on the client side <strong>of</strong> the ILE can be sent to the simulation eng<strong>in</strong>e on the server for its execution. <strong>The</strong> eng<strong>in</strong>ehandles everyth<strong>in</strong>g related to code pars<strong>in</strong>g, <strong>in</strong>terpretation, simulation runn<strong>in</strong>g and report generation, keep<strong>in</strong>g theclient lightweight. Last but not least, for each simulation run, the server registers all changes as different simulations’snapshots which are kept <strong>in</strong> persistent media. Thus, students can fetch snapshots <strong>of</strong> their simulations and analyze <strong>in</strong>deep detail how the whole model –or even a particular model entity– progressed dur<strong>in</strong>g execution time. <strong>The</strong> follow<strong>in</strong>gsection shortly reviews some previous model<strong>in</strong>g and simulation related publications as well as current GPSSimplementations. Next, <strong>in</strong> the Methodology section, some issues related to GPSS learn<strong>in</strong>g are expla<strong>in</strong>ed and the mostimportant aspects <strong>of</strong> this work are <strong>in</strong>troduced. <strong>The</strong>n, the application is presented and its implications related to thoseissues are described, followed by a section with some important notes about the development and its advantages.F<strong>in</strong>ally, suggestions for future work have been <strong>in</strong>cluded <strong>in</strong> order to <strong>of</strong>fer a wider po<strong>in</strong>t <strong>of</strong> view <strong>of</strong> the project.RELATED WORKSimulation teach<strong>in</strong>g <strong>in</strong> general and GPSS learn<strong>in</strong>g <strong>in</strong> particular are topics that have already been discussed overthe last decades. Zikic and Radenkovic (Zikic, A. M.; Radenkovic, L. J, 1996) discussed GPSS learn<strong>in</strong>g problems. Aftersome years <strong>of</strong> observation, they have summarized <strong>in</strong> four po<strong>in</strong>ts the reasons why it takes so long for students toaccept an entirely new approach to programm<strong>in</strong>g:- Students acquired programm<strong>in</strong>g skills based <strong>in</strong> Pascal or C, which employ strict and explicit typ<strong>in</strong>g forvariables/objects;- GPSS does not have explicit declaration or strict typ<strong>in</strong>g <strong>of</strong> variables and objects;- Pascal and C propose a very structured and organized approach for programm<strong>in</strong>g;- GPSS syntax is <strong>of</strong> assembler type, with labels and transfer statements, which completely clashes withstructured programm<strong>in</strong>g;In their work, the authors <strong>in</strong>troduce a new simulation language, based on GPSS concepts but oriented to astructured programm<strong>in</strong>g layout. This language, named ISDS, has different syntax rules and semantics compared totraditional GPSS dialects, and <strong>in</strong>troduces some important changes such as explicit declaration, types and rout<strong>in</strong>e codeorganization. Even though the base concept seems correct, the authors suggested that it could delay the learn<strong>in</strong>gprocess <strong>in</strong> a second stage: the students would eventually have to use GPSS or some other commercially availablesystem. Thus, once they have learned ISDS, they would still need to learn GPSS or another simulation language.<strong>The</strong>re exist few active implementations <strong>of</strong> GPSS language, among which M<strong>in</strong>utmanS<strong>of</strong>tware's version, namedGPSSw (M<strong>in</strong>uteman S<strong>of</strong>tware, 2012), excels other developments as the most widely used one. GPSSw is a desktopapplication, and quite fast for develop<strong>in</strong>g and runn<strong>in</strong>g simulations under MS W<strong>in</strong>dows. To code models, GPSSw usershave at their disposal a pla<strong>in</strong> text area to write GPSS sentences. <strong>The</strong> application allows the creation <strong>of</strong> the simulationas well as to start its execution by <strong>in</strong>sert<strong>in</strong>g a START command. Simulations are usually run <strong>in</strong> a few seconds; theresults are displayed <strong>in</strong> a text report which summarizes the most important aspects <strong>of</strong> the previously run model.GPSSw also <strong>of</strong>fers some debugg<strong>in</strong>g tools such as pause and resume po<strong>in</strong>ts dur<strong>in</strong>g runtime, and some live exam<strong>in</strong>ationtools for most GPSS entities (facilities, storages, transaction cha<strong>in</strong>s, etc...). GPSSw is also very useful to generate33www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1screen<strong>in</strong>g, optimization or user def<strong>in</strong>ed experiments. Wolver<strong>in</strong>e S<strong>of</strong>tware Corporation (Wolver<strong>in</strong>e S<strong>of</strong>tware, 2012) hasalso developed a GPSS implementation, which shares some common po<strong>in</strong>ts with GPSSw. It is also a MS W<strong>in</strong>dowsapplication which lets users run models over the simulation eng<strong>in</strong>e and outputs a simulation report similar to that <strong>of</strong>GPSSw. However, models have to be compiled first, which results <strong>in</strong> a MS W<strong>in</strong>dows executable program represent<strong>in</strong>gthe simulation ready to be run. Compil<strong>in</strong>g source <strong>file</strong>s allows users to def<strong>in</strong>e external so-called ampervariables(rout<strong>in</strong>es) <strong>in</strong> C++ programm<strong>in</strong>g language, which will be compiled altogether with the model <strong>file</strong>(s). Even though thecompilation process adds an extra step, it proves very useful for users to enable the extension <strong>of</strong> the simulationeng<strong>in</strong>e, either to connect the model to external data sources or to generate different output <strong>file</strong>s. WebGPSS is anotherapplication that implements GPSS dialect. Models are created by def<strong>in</strong><strong>in</strong>g and connect<strong>in</strong>g block diagrams. Thisfacilitates learn<strong>in</strong>g s<strong>in</strong>ce eng<strong>in</strong>eer<strong>in</strong>g students are used to represent<strong>in</strong>g models with diagrams and charts. Models arecreated <strong>in</strong> a client desktop application and sent to a server for execution. <strong>The</strong> term web is ow<strong>in</strong>g to the fact that theserver process could be run <strong>in</strong> a remote computer and thus be accessed. Both server and client are executableprograms <strong>in</strong>cluded <strong>in</strong> the package.As learn<strong>in</strong>g tools, all GPSS dialects presented above share some common aspects that students and teachersneed to deal with. As mentioned before, no current GPSS implementation <strong>in</strong>cludes either code assistance or syntaxhighlight<strong>in</strong>g. On one side, WebGPSS implements a draw<strong>in</strong>g-based alternative <strong>in</strong> which the user chooses blocks fromfigures and arranges them <strong>in</strong> a connected network. On the other side, GPSSw <strong>in</strong>cludes a pla<strong>in</strong> text editor and GPSS/Hhas no editor at all. All GPSS alternatives require some <strong>in</strong>stallation process and all <strong>of</strong> them are also MS W<strong>in</strong>dowsdependent. Even though all alternatives can be run <strong>in</strong> Unix-based platforms us<strong>in</strong>g an MS W<strong>in</strong>dows layer like W<strong>in</strong>e orCrossover, there is <strong>of</strong> course some performance drop. Besides, and more important, although some developers<strong>in</strong>clude a limited or trial version, there exist neither open source nor free alternatives available. In educationenvironments, only WebGPSS <strong>in</strong>cludes some visual aid for the user. However, all mentioned versions are <strong>in</strong>tended forusers that already handle GPSS syntax, semantics and entities usage. In addition, there is no possible <strong>in</strong>tegration withexist<strong>in</strong>g web LME’s.Figure. 1: WebGPSS IDE displays dialogues and graphsDesporovic et all implemented a GPSS/FON (another less used GPSS dialect) based environment, which they calledFONWebGPSS. <strong>The</strong> purpose <strong>of</strong> their work is to comb<strong>in</strong>e a GPSS implementation with Moodle. With this purpose <strong>in</strong>m<strong>in</strong>d, teachers prepared case studies and problems related to the area <strong>of</strong> discrete event simulation, and studentsused GPSS/FON via Moodle to write and run the models. Simulation execution results are also <strong>in</strong>tegrated <strong>in</strong>to Moodle,mix<strong>in</strong>g standard GPSS reports with statistics charts created ad-hoc. Although the simulation eng<strong>in</strong>e was not adaptedfor teach<strong>in</strong>g purposes, this work exposes the need to transform simulation learn<strong>in</strong>g via web environments, and to<strong>in</strong>tegrate simulation tools <strong>in</strong> exist<strong>in</strong>g LMS. In a different approach, Fonseca et all designed a framework with a Javabaseddesktop application to build GPSS models from graphics. <strong>The</strong> framework lacks, on purpose, the implementation<strong>of</strong> the simulation eng<strong>in</strong>e. <strong>The</strong> ma<strong>in</strong> idea <strong>of</strong> their work is to let students complete the eng<strong>in</strong>e by programm<strong>in</strong>gthemselves the behavior <strong>of</strong> GPSS entities. This would help students understand how the eng<strong>in</strong>e works and wouldmotivate them to write their own simulation eng<strong>in</strong>e. In addition to the empty shell, JGPSS also <strong>in</strong>cludes a regular GPSSeng<strong>in</strong>e and statistics generator. Note that <strong>in</strong> that work the authors considered the importance <strong>of</strong> understand<strong>in</strong>g a34www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1simulation eng<strong>in</strong>e by access<strong>in</strong>g its core implementation and modify<strong>in</strong>g its source code <strong>in</strong> a language they feelcomfortable with.METHODOLOGYBetween 2005 and 2011, dur<strong>in</strong>g the development <strong>of</strong> Simulation and Model<strong>in</strong>g courses <strong>in</strong> Computer ScienceSchool at the National University <strong>of</strong> La Plata, students ma<strong>in</strong>ly used M<strong>in</strong>uteman S<strong>of</strong>tware's version <strong>of</strong> GPSS. Dur<strong>in</strong>g thatperiod, some common obstacles that most students came across when start<strong>in</strong>g with GPSS were identified:Unlike general purpose programm<strong>in</strong>g languages, GPSS has many sentences and only two sentencecategories: blocks and commandsEach sentence may require a different amount <strong>of</strong> parameters; some <strong>of</strong> them are mandatory and some areoptional, some refer to other entities and some expect numeric expressions onlyAlthough GPSS blocks are semantically different from GPSS commands –and that difference is key tounderstand<strong>in</strong>g the simulation model– they are displayed <strong>in</strong> the same way, <strong>in</strong> the same place and theymight even be syntactically mixedSome blocks are used for general flow control, while others are used specifically to deal with a s<strong>in</strong>gle entity<strong>The</strong>re is no code assistance or highlight<strong>in</strong>g. One <strong>of</strong> the obstacles that arises from this is that it is hard toremember which entities have already been def<strong>in</strong>ed –especially <strong>in</strong> large models– and how they must bereferencedWhen the simulation ends, the system displays a report which resumes <strong>in</strong> few statistics what happeneddur<strong>in</strong>g the execution <strong>of</strong> the model. Thus it is not easy to know what really happened: when entities werecreated or destroyed, how the system clock advanced or which entities were <strong>in</strong>teract<strong>in</strong>g<strong>The</strong> code organization and the language itself are very different from other programm<strong>in</strong>g languages thatstudents had learned before (i.e. C++, Pascal or Java)This paper proposes an <strong>in</strong>teractive learn<strong>in</strong>g environment (ILE) to improve GPSS learn<strong>in</strong>g which tackles allprevious issues <strong>in</strong> the very first stages <strong>of</strong> simulation courses. <strong>The</strong> bottom concept <strong>of</strong> the ILE is quite simple: <strong>in</strong>stead <strong>of</strong>programm<strong>in</strong>g models by writ<strong>in</strong>g code from scratch, students can build their models by select<strong>in</strong>g and configur<strong>in</strong>gentities and sentences. To that end, the GUI has been designed to expla<strong>in</strong> some commonly confus<strong>in</strong>g aspects <strong>of</strong> GPSSfrom the beg<strong>in</strong>n<strong>in</strong>g and to allow students to focus solely on core simulation concepts and entities. <strong>The</strong> applicationpresented here is suitable dur<strong>in</strong>g the simulation development stage and also after the simulation has been executed,<strong>in</strong> the results analysis stage. In the next two sections, most elements <strong>in</strong>troduced <strong>in</strong> both stages (development andanalysis) are expounded.Aids Dur<strong>in</strong>g Development TimeDur<strong>in</strong>g the stage <strong>of</strong> development, students need to focus on their model and the flux <strong>of</strong> entities through it.<strong>The</strong>y should not be distracted by issues <strong>of</strong> one particular programm<strong>in</strong>g language. To that aim, a first visual element<strong>in</strong>troduced is the use <strong>of</strong> dialogues to <strong>in</strong>sert blocks and commands, <strong>in</strong>stead <strong>of</strong> writ<strong>in</strong>g code. Many efforts have been put<strong>in</strong>to dialogue boxes, <strong>in</strong>clud<strong>in</strong>g a set <strong>of</strong> small but useful visual elements that avoid dispersion and most commonmistakes.Dialogue boxes show all possible parameters for each sentence (block or command)Parameters <strong>in</strong>clude h<strong>in</strong>ts for the user to get a clue <strong>of</strong> what they are forMandatory fields are clearly dist<strong>in</strong>guished from optional dataS<strong>in</strong>ce some sentences require the use <strong>of</strong> previously created entities, many dialogues display a list <strong>of</strong>optional entities to choose fromListed entities are just the ones hav<strong>in</strong>g the correct type required for the sentence which narrows the35www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1possibilities to cause a mistake, mix<strong>in</strong>g sentences with entities <strong>of</strong> <strong>in</strong>correct typeIn addition to dialogue boxes design, the ILE displays available blocks and commands grouped by their ma<strong>in</strong>function or by the entity they deal with. For example, s<strong>in</strong>ce ENTER and LEAVE blocks are used to access and freestorage units, they are shown <strong>in</strong> the same group; similarly, given that SEIZE, RELEASE, PREEMPT and RETURN blocksexist for facilities manipulation, they are shown <strong>in</strong> another group. Group<strong>in</strong>g blocks helps students make associationsbetween blocks and entities and among related blocks too. Block groups are also separated from command groups,which re<strong>in</strong>forces the idea that, even though they look similar, they are not. Once confirmed, dialogues create GPSSsentences and entities <strong>in</strong> an <strong>in</strong>ner representation and they are displayed <strong>in</strong> a GPSSW-like dialect. Code is renderedhighlight<strong>in</strong>g keywords and parameters, and aga<strong>in</strong> sentences have been split <strong>in</strong>to two code zones: commands aboveand blocks below. In addition to GPSS code representation, blocks are presented as a list, and commands as a queue,which is the actual <strong>in</strong>ternal representation <strong>of</strong> the simulation eng<strong>in</strong>e. Among other features, blocks and commands canbe moved up/down, dragged and dropped from the list (or queue respectively) and removed. Code parts can be<strong>in</strong>tuitively organized, although blocks and commands can never be mixed. <strong>The</strong> GPSS model, created <strong>in</strong> the web clientapplication, can be sent to a server for its execution, which conta<strong>in</strong>s a GPSS <strong>in</strong>terpreter and a modified simulationeng<strong>in</strong>e that runs the simulation.Simulation execution analysisGPSS is designed for the sub-area <strong>of</strong> discrete simulation systems, which basically means that each simulationis controlled by a f<strong>in</strong>ite simulation clock that changes discretely. For each clock change (tick) the system be<strong>in</strong>gsimulated updates its status, cascad<strong>in</strong>g to all entities <strong>in</strong> order to be ready for the upcom<strong>in</strong>g clock change. Thisbehavior affects both permanent entities (facilities, storages, cha<strong>in</strong>s) and temporary entities (transactions). Hence, asimulation run can be decomposed as a sequence <strong>of</strong> clock changes and entity updates associated with those changes.Each component <strong>of</strong> that sequence represents a snapshot <strong>of</strong> the simulation <strong>in</strong> a precise clock time. This concept leadsto a different way <strong>of</strong> <strong>in</strong>terpret<strong>in</strong>g a simulation run, based on the analysis <strong>of</strong> entity changes dur<strong>in</strong>g runn<strong>in</strong>g time. Eventhough this might not be very useful for real simulation analysis, it clearly helps students understand how thesimulation advanced and what really happened <strong>in</strong> each advance: how the clock moved forward, which entities existed<strong>in</strong> each clock time, what they were like and how they <strong>in</strong>teracted with each other. It is <strong>of</strong> particular <strong>in</strong>terest that thismodel also helps to understand the transaction schedul<strong>in</strong>g system <strong>in</strong>side the system cha<strong>in</strong>s, which is a particularlyproblematic topic. <strong>The</strong> previous concepts were implemented by mak<strong>in</strong>g major changes to the GPSS <strong>in</strong>terpreter andthe simulation eng<strong>in</strong>e to enable them to take full snapshots <strong>of</strong> the simulation dur<strong>in</strong>g runtime. Snapshots are takeneach time the system clock changes and they are queued <strong>in</strong> an <strong>in</strong>-memory data structure as the simulation runs. Itmust be considered that snapshots are quite heavy <strong>in</strong> memory and CPU terms, s<strong>in</strong>ce they represent the wholesimulation graph, composed by all model entities and its relationships. Once taken, each snapshot is persisted <strong>in</strong> arelational database system (RDBMS) for further analysis. Persistence is also a heavy task that <strong>in</strong>volves sav<strong>in</strong>g allentities to a relational database and it is handled by a concurrent thread that maps objects to tables and stores them<strong>in</strong> the DB <strong>in</strong> disk.When the simulation is sent to be run <strong>in</strong> the server, it only takes few seconds until the execution ends but itcould actually take a while to be fully stored by the persistence thread. To make that clear for the user, the systemGUI has been designed to display a brief simulation report <strong>in</strong> the f<strong>in</strong>al stage and to show the user the persistenceprocess as it advances. Once all snapshots have been persisted, the GUI enables the user to access snapshots, sortedby its system clock. <strong>The</strong>n, the student can browse snapshots, and <strong>in</strong>spect the status <strong>of</strong> self created entities as well assystem default entities and data structures. Each entity can also be selected <strong>in</strong>dividually, which results <strong>in</strong> a specificreport for the entity itself display<strong>in</strong>g it status <strong>in</strong> each system clock and other entities be<strong>in</strong>g affected. Aga<strong>in</strong>, theseentities can also be selected, allow<strong>in</strong>g the user to recursively navigate through entities and simulation snapshots.36www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Figure 2: GPSS ILE: dialogues display entities lists and fieldh<strong>in</strong>tsFigure 3: Block and commandsgrouped by function or entityRESULTS<strong>The</strong> application has been organized <strong>in</strong>to a multi-layer architecture ma<strong>in</strong>ly composed by a th<strong>in</strong> client on one sideand GPSS <strong>in</strong>terpreter with the simulation eng<strong>in</strong>e and the RDBMS on the other side. Both parts <strong>of</strong> the application arecompletely <strong>in</strong>dependent one from the other. For them to work together, a MVC application has been developed toacts as a bridge between them, transform<strong>in</strong>g requests from the client to messages to the <strong>in</strong>terpreter and vice versa.<strong>The</strong> high decoupl<strong>in</strong>g level also allow application parts to be easily embedded <strong>in</strong>to other environments. <strong>The</strong> client sidewas built us<strong>in</strong>g only HTML, Javascript and Cascad<strong>in</strong>g Style Sheets (CSS), and works as an <strong>in</strong>dependent pluggablemodule. <strong>The</strong> GPSS <strong>in</strong>terpreter and eng<strong>in</strong>e is a common open source Java and MySQL application. It has been adaptedto the Maven2 standard, which makes it really easy to download, extend and compile. Even though it is not likelythat GPSS students will try to modify or extend someth<strong>in</strong>g they still do not understand at first, access<strong>in</strong>g the sourcecode <strong>of</strong> the simulation eng<strong>in</strong>e is a powerful way to understand how GPSS entities really behave <strong>in</strong>side, by read<strong>in</strong>g it <strong>in</strong>a well known language. Similarly, hav<strong>in</strong>g snapshots that compose a simulation stored <strong>in</strong> a database gives the studentsan opportunity to write their own SQL queries and to research much deeper about the entities than any front-endcould <strong>of</strong>fer. <strong>The</strong> application can also load and execute preexist<strong>in</strong>g models; teachers can create their own models andleave them available for students to understand particular issues, review any class subjects or prepare quizzes andactivities. Once models are created by the teacher, students will see an icon to load them <strong>in</strong> one click. After a model isloaded, users have full access to it just as if they had written it block by block and command by command. <strong>The</strong>y areable to modify it too or even to extend it, which proves very suitable for some activities <strong>of</strong> <strong>in</strong>terpretation and systemimprovement or optimization. In the meantime, as they analyze the model, the system will have sent it to be run <strong>in</strong>the background and at the end it will output the same k<strong>in</strong>d <strong>of</strong> results as any model created by hand.Fig. 4: Drag and Drop over the block list37www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Social implications <strong>in</strong> education were also considered <strong>in</strong> this work. An open source application results <strong>in</strong> ahelpful teach<strong>in</strong>g tool and the ability to plug it <strong>in</strong>to other systems represents a great opportunity for teachers andstudents. In third world countries, license fees are hard to afford. Commercial applications and trial versions are not areal solution, although they mitigate limitations. Platform dependent applications make it even harder for nonW<strong>in</strong>dows users. By us<strong>in</strong>g a web application, students can use it <strong>in</strong> any computer, tablet or even mobile phone: all theyneed is an operative system with a web browser. No <strong>in</strong>stallation process is required. Last but not least, colleges cannaturally host their own GPPS full stack: client, web application and <strong>in</strong>terpreter. This allows them to count with a fullrepository <strong>of</strong> new learn<strong>in</strong>g objects: GPSS models ready to be run, modified or extended, and already executed GPSSmodels to deeply analyze and understand them from the ground up.CONCLUSIONA web application for GPSS learn<strong>in</strong>g has been presented here. <strong>The</strong> application is targeted to students <strong>in</strong> theirvery first encounter with model<strong>in</strong>g and simulation subjects, <strong>in</strong> special with a programm<strong>in</strong>g language like GPSS. <strong>The</strong>ma<strong>in</strong> purpose <strong>of</strong> this work is to shorten simulation learn<strong>in</strong>g times by elim<strong>in</strong>at<strong>in</strong>g the need for students to deal withspecific issues <strong>of</strong> a particular simulation language and lett<strong>in</strong>g them focus solely on important model<strong>in</strong>g and simulationconcepts such as abstraction, resources, statistics and experimentation. To that end, the application focuses on twokey stages <strong>of</strong> model<strong>in</strong>g and simulation learn<strong>in</strong>g: model build<strong>in</strong>g and simulation run. <strong>The</strong> former is tackled by provid<strong>in</strong>gthe students with an <strong>in</strong>teractive GUI that helps them build the model by select<strong>in</strong>g and configur<strong>in</strong>g sentences,organiz<strong>in</strong>g code parts, and lay<strong>in</strong>g GPSS elements out mak<strong>in</strong>g key aspects clear from the beg<strong>in</strong>n<strong>in</strong>g. <strong>The</strong> latter is facedunder the premise that a simulation run is too complex to be understood from a s<strong>in</strong>gle text report with some statisticsresults, especially when students are still learn<strong>in</strong>g what a simulation is or should be. <strong>The</strong> solution presented proposesa navigable report, where the students can surf from their simulation entities and access the state <strong>of</strong> each one <strong>in</strong> allsimulation clock changes. This way, they can understand how entities are affected by other entities and how thesimulation system deals with the execution <strong>of</strong> temporary entities created on the fly. Another important aspect <strong>of</strong> thiswork is that it has been released as open source s<strong>of</strong>tware. This license has two ma<strong>in</strong> implications <strong>in</strong> this context. First,and as with any other open source s<strong>of</strong>tware, anyone can download, use and extend the applications as needed; <strong>of</strong>particular <strong>in</strong>terest is the possibility <strong>of</strong> <strong>in</strong>tegrate it with other LME's or with any web application. Secondly, studentscan be encouraged to study the s<strong>of</strong>tware as it is, to improve it and extend it, either on their own or as a class exercise.FUTURE WORK<strong>The</strong>re is much work to do to improve this environment. Many but not all GPSS entities have beenimplemented, so a first improvement would be the <strong>in</strong>clusion <strong>of</strong> more entities and their associated sentences. Dialogueboxes can also be improved by <strong>in</strong>clud<strong>in</strong>g visual clues for students to make associations between GPSS entities andreal-world objects: if the student is creat<strong>in</strong>g a FACILITY, the GUI would show someth<strong>in</strong>g that works as a facility, like atoll barrier or a computer processor. Reports can also be extended to <strong>in</strong>clude new entities and to allow students tocompare different snapshots side-by-side, highlight<strong>in</strong>g changes <strong>in</strong> exist<strong>in</strong>g entities as well as entities created on oneside only. <strong>The</strong> ILE still lacks a view for the pr<strong>of</strong>essor, to create models and organize activities and class members. Eventhough the latter can be accomplished by most exist<strong>in</strong>g LMS, model creation, test<strong>in</strong>g and publication must beimproved to encourage teachers to add new models for their students. Integration with exist<strong>in</strong>g LMS must alsobecome better. As any web application, the GPSS ILE <strong>in</strong> its current state can be embedded <strong>in</strong>to any web page us<strong>in</strong>g,for example, an iframe. However, it would be very helpful to <strong>in</strong>tegrate it with exist<strong>in</strong>g LMS via <strong>in</strong>stallable plug<strong>in</strong>s/extensions.This would demand many efforts, s<strong>in</strong>ce each addition must be customized by hand, but wouldencourage system adm<strong>in</strong>istrators to <strong>of</strong>fer the tools to its users.REFERENCESAho, Alfred V et al. Compilers: pr<strong>in</strong>ciples, techniques, and tools. Pearson/Addison Wesley, 2007.Banks, Jerry, and John S Carson. "Discrete event system simulation." (1984).Cox, Spr<strong>in</strong>ger W. "GPSS World: a brief preview." Simulation Conference, 1991. Proceed<strong>in</strong>gs. W<strong>in</strong>ter 8Dec. 1991: 59-61.Cra<strong>in</strong>, Robert C. "Simulation us<strong>in</strong>g GPSS/H." Proceed<strong>in</strong>gs <strong>of</strong> the 29th conference on W<strong>in</strong>tersimulation 1 Dec. 1997: 567-573.38www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Despotovic, MS, BL Radenkovic, and DM Barac. GPSS for e-learn<strong>in</strong>g environment.Telecommunication <strong>in</strong> Modern Satellite, Cable, and Broadcast<strong>in</strong>g Services, 2009. TELSIKS'09. 9thInternational Conference on 7 Oct. 2009: 318-321.Fonseca i Casas, Pau, and CJ Casanovas: JGPSS, an open source GPSS framework to teachsimulation. W<strong>in</strong>ter Simulation Conference (WSC), Proceed<strong>in</strong>gs <strong>of</strong> the 2009 13 Dec. 2009: 256-267Ref 4Garcia, Heriberto, and Martha A Centeno. "SUCCESSFUL: a framework for design<strong>in</strong>g discrete eventsimulation courses." W<strong>in</strong>ter Simulation Conference (WSC), Proceed<strong>in</strong>gs <strong>of</strong> the 2009 13 Dec. 2009: 289-298.Kirkerud, B.: Object-Oriented Programm<strong>in</strong>g with SIMULA, Addison-Wesley, 1989Kle<strong>in</strong>, Ulrich, Steffen Straßburger, and Jürgen Beikirch. "Distributed simulation with JavaGPSS basedon the High Level Architecture." SIMULATION SERIES 30 (1998): 85-90.Kleijnen, J.P.C. 2005. Supply cha<strong>in</strong> simulation tools and techniques: a survey. International <strong>Journal</strong><strong>of</strong> Physical Distribution & Logistic Management 30(10): 847-868.LRN TM (May 22 2012) “.LRN Home: Learn, Research, Network” [On l<strong>in</strong>e] http://dotlrn.org/M<strong>in</strong>uteman S<strong>of</strong>tware. (May 22 2012) “Computer Simulation” [On l<strong>in</strong>e]http://www.m<strong>in</strong>utemans<strong>of</strong>tware.com/Moodle (May 22 2012) “All we want to do is to give you powerful free tools to help you educate theworld” [On l<strong>in</strong>e] www.moodle.comPaulsen, M. F. (2003). Experiences with Learn<strong>in</strong>g Management Systems <strong>in</strong> 113 European Institutions.Educational Technology & Society, 6 (4), 134-148Sakai Project (May 22, 2012), “Collaboration and learn<strong>in</strong>g - for educators by educators”. [On l<strong>in</strong>e]http://www.sakaiproject.org/Ståhl, Ingolf. "GPSS: 40 years <strong>of</strong> development" Proceed<strong>in</strong>gs <strong>of</strong> the 33nd Conference on W<strong>in</strong>terSimulation 9 Dec. 2001: 577-585.Storch, Matthew Francis, and Jane WS Liu. "A framework for the simulation <strong>of</strong> complex real-timesystems." (1997).Wolfgang K. and K. Osterbye, 1998. BetaSIM a framework for discrete event model<strong>in</strong>g andsimulation. Simulation Practice and <strong>The</strong>ory 6(6): 573-599Wolver<strong>in</strong>e S<strong>of</strong>tware Corp. (May 22 2012) “Welcome to Wolver<strong>in</strong>e S<strong>of</strong>tware!” [On l<strong>in</strong>e]www.wolver<strong>in</strong>es<strong>of</strong>tware.com/Zikic, A. M.; Radenkovic, L. J.: <strong>New</strong> Approach to Teach<strong>in</strong>g Discrete Event System Simulation.International <strong>Journal</strong> <strong>of</strong> Eng<strong>in</strong>eer<strong>in</strong>g Education; VOL 12; NUMBER 6; 457-466; 199639www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Graphical design elements that should beconsidered <strong>in</strong> computer based <strong>in</strong>structionGamze Sarmaşık[1], Özden Işıktaş[2], M. Volkan Coşkun [3][1] Assist. Pr<strong>of</strong>. Dr., Department<strong>of</strong> Computer Education &Instructional Technology,Education Faculty, MuğlaUniversity,Turkey[2] Grafic Designer, Department<strong>of</strong> f<strong>in</strong>e arts , Muğla University,TurkeyABSTRACT[3] Pr<strong>of</strong>. Dr., Department <strong>of</strong>Turkish Education, EducationFaculty, Muğla University,TurkeyEducational technology has emerged as a new field <strong>of</strong> education becausethe ma<strong>in</strong> means <strong>of</strong> hav<strong>in</strong>g access to <strong>in</strong>formation has become technology.Thus, basic curriculums <strong>in</strong> all over the world have been <strong>in</strong> the process <strong>of</strong>restructur<strong>in</strong>g; Classical teach<strong>in</strong>g materials have been replaces bytechnological equipments (Smart boards, tablet PCs, mobile phonesetc.) and new materials are designed for these technological tools(Course presentations, notes for distance education, educationals<strong>of</strong>tware etc.). With the design <strong>of</strong> teach<strong>in</strong>g materials for technologicaltools, graphical designs have become one <strong>of</strong> the most important ways <strong>of</strong>present<strong>in</strong>g <strong>in</strong>formation. <strong>The</strong>refore, <strong>in</strong>structors should be knowledgeableabout graphical design elements such as color <strong>of</strong> the background, thefont used, the size <strong>of</strong> writ<strong>in</strong>g, the density <strong>of</strong> the text and therelationships among background color and font contrast etc. In thispaper, the ma<strong>in</strong> focus is the elements to be considered <strong>in</strong> colorselection and harmony which are among the pr<strong>in</strong>ciples <strong>of</strong> graphic designwhile design<strong>in</strong>g computer based <strong>in</strong>struction materials.Keywords:Computer based <strong>in</strong>struction; Computer assisted languagelearn<strong>in</strong>g; Educational s<strong>of</strong>tware; Educational technology;Ggraphical designINTRODUCTIONGraphic design started with the draw<strong>in</strong>gs on cave walls by primitive human be<strong>in</strong>gs. <strong>The</strong> designs drawn on cavewalls by first people were the visual reflections <strong>of</strong> verbal language. Hence, graphic design is one <strong>of</strong> the ways <strong>of</strong> aperson’s express<strong>in</strong>g himself/herself. <strong>The</strong>refore, the choices made by an <strong>in</strong>dividual while form<strong>in</strong>g the design <strong>in</strong>cludeelements <strong>of</strong> his/her <strong>in</strong>ner world; and like fashion, they change depend<strong>in</strong>g on some factors such as the educationtaken, the environment resided (city, country), upbr<strong>in</strong>g<strong>in</strong>g (oppressed, free), gender, politics <strong>of</strong> the era, technologicaland scientific developments, peace or war atmosphere etc. In case <strong>of</strong> graphic design suggestions are not made not torestrict the creativity <strong>of</strong> the person, only factors to be considered and situations to be avoided can be mentioned(Fiell, 2005).Yet, the design has some basic components and the greatest care should be taken while mak<strong>in</strong>geducational designs as it is very difficult to correct them.PRINCIPLES OF DESIGNGraphic design is viewed to be a discipl<strong>in</strong>e <strong>in</strong> the field <strong>of</strong> visual arts. However, it has many sub-concepts. <strong>The</strong>components <strong>of</strong> design can be subsumed under two categories. <strong>The</strong>se are pr<strong>in</strong>ciples and elements. <strong>The</strong> basic pr<strong>in</strong>ciplesare balance, rhythm, proportion, and unity. Elements are l<strong>in</strong>e, shape, texture, white space, mass, value and color(Fidan, 2012). <strong>The</strong> present study only focuses on the element <strong>of</strong> color.Features <strong>of</strong> color and its use <strong>in</strong> design40www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Color is one <strong>of</strong> the cornerstones <strong>of</strong> a design. Sometimes, color can lay the basis <strong>of</strong> creative th<strong>in</strong>k<strong>in</strong>g and all thedesign is built on color (Wong, 1997, Fidan 2009):Colors exist<strong>in</strong>g together with the light can create various effects on people. <strong>The</strong>re are three dimensions <strong>of</strong>color: Length (type <strong>of</strong> the color), width (shade <strong>of</strong> the color), and depth (<strong>in</strong>tensity <strong>of</strong> the color).1. <strong>The</strong> type <strong>of</strong> color is the terms used to describe the color such as yellow, red, blue, purple, green,orange etc.2. <strong>The</strong> shade <strong>of</strong> color is its lightness or darkness. When a color is enriched with white color, it becomeslighter, and when black is added, it becomes darker.3. <strong>The</strong> density <strong>of</strong> color is related to brightness. <strong>The</strong> colors with high density are bright colors.<strong>The</strong> most important one among these three dimensions is the shade value <strong>of</strong> color. <strong>The</strong> element whichdescribes a visual image best is the shades it conta<strong>in</strong>s.Effects <strong>in</strong>duced by color on peopleIn addition to reflect<strong>in</strong>g the sensitivity <strong>of</strong> the designer, the choice <strong>of</strong> the colors <strong>in</strong> the design <strong>of</strong> educationals<strong>of</strong>tware should be <strong>in</strong> compliance with the color preferences <strong>of</strong> the target group. <strong>The</strong>refore, it is <strong>of</strong> great importanceto know the effects <strong>of</strong> colors on people. Some <strong>of</strong> the effects <strong>in</strong>duced by colors on people are personal and some aregeneralisable. For <strong>in</strong>stance, warm colors’ becom<strong>in</strong>g stimulat<strong>in</strong>g and cold colors’ be<strong>in</strong>g sooth<strong>in</strong>g can be considered tobe the generalisable effects <strong>of</strong> colors.Generalisable effects <strong>of</strong> colorsGreen and blue colors are known to be cold, red and yellow colors are regarded to be warm colors. By br<strong>in</strong>g<strong>in</strong>gcold and warm colors, new colors can be obta<strong>in</strong>ed. For <strong>in</strong>stance, a cold color, blue, can be mixed with a warm color,red, then we get a color <strong>of</strong> blue close to purple. This new color is a bit warmer than blue. In this way, we can have lesscold color.Grays called to be neutral colors can be cold or warm depend<strong>in</strong>g on the mixture ratios <strong>in</strong> their pigments.While warm colors stimulate and cheer watchers, cold colors soothe and relax them. <strong>The</strong> reason whyrestaurants are pa<strong>in</strong>ted with warm colors is to stimulate visitors to eat fast and <strong>in</strong> the similar manner, hospitals arepa<strong>in</strong>ted with cold colors to calm the people who are panicked. Excessive use <strong>of</strong> cold colors may result <strong>in</strong> theemergence <strong>of</strong> gloomy and depress<strong>in</strong>g atmosphere. In the same token, excessive use <strong>of</strong> warm colors may lead peopleto aggression.On graphical surfaces, warm colors seem as if they would leave the surface and they seem <strong>in</strong> the front. Yellowis the color which is seen at the forefront <strong>of</strong> all the colors. Cold colors on the other hand give the impression <strong>of</strong>distance.Psychological effects <strong>of</strong> colorsWhen the psychological effects <strong>of</strong> color are considered, it is usually accepted that green means jealousy; blue isthe symbol <strong>of</strong> loyalty and s<strong>in</strong>cerity; red represents activity and courage; brown and purple are the symbol <strong>of</strong>monotony and boredom; white represents submission; black symbolizes pessimism. In addition to these, someresearchers argue that red <strong>in</strong>creases blood pressure and pulse beat<strong>in</strong>g.Cultural effects <strong>of</strong> colorsWhen the colors are considered from a cultural perspective, they have various connotations. For <strong>in</strong>stance, <strong>in</strong>oriental culture, the golden yellow is considered to be a sacred color; yet, <strong>in</strong> some westerns cultures it is the symbol <strong>of</strong>cowardl<strong>in</strong>ess and treason. Red stands for passion. Orange represents science, civilization, energy and power, purpleclose to blue is the symbol <strong>of</strong> spirituality and purple close to red is the symbol <strong>of</strong> courage.Blue which is a passive and cold color symbolizes both distance and formality and honesty and loyalty. Itconnotates authority and power. It is cool<strong>in</strong>g and associated with sky, ice and water.Green is the symbol <strong>of</strong> freshness and fertility. It symbolizes environment and nature and it is relax<strong>in</strong>g andsooth<strong>in</strong>g. White represents honesty and <strong>in</strong>nocence; black is the symbol <strong>of</strong> sorrow, gloom, grief and dead. Moreover, it41www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1connotates extreme passion and elegance.Female and male colors<strong>The</strong>re are two important concepts to be considered while select<strong>in</strong>g not only the color <strong>of</strong> the surface but alsothe color <strong>of</strong> the letters <strong>of</strong> the writ<strong>in</strong>g on the surface. <strong>The</strong>se are female and male colors.Female colors: light color on dark surface. For example; white writ<strong>in</strong>g on blue surfaceMale colors: dark color on light surface. For example; blue writ<strong>in</strong>g on white surfaceHowever, there are no certa<strong>in</strong> formulas show<strong>in</strong>g how to operationalize these concepts <strong>in</strong> a design. A graphicdesigner should consider follow<strong>in</strong>g four elements <strong>in</strong> color selection:1- Cultural connotation <strong>of</strong> a color,2- Color preference <strong>of</strong> the target culture,3- Character <strong>of</strong> the product,4- Type <strong>of</strong> approach to designTh<strong>in</strong>gs to be considered <strong>in</strong> color use<strong>The</strong> designer should know how colors are perceived by the eye, their wavelength characteristics and theireffects on the health <strong>of</strong> eye. For <strong>in</strong>stance, yellow color is first perceived as purple and the process through which thecolor is perceived to be yellow is tir<strong>in</strong>g for the eye. Long-time focus<strong>in</strong>g on yellow color may lead to visual disorders.<strong>The</strong>refore, yellow should not be selected as the color <strong>of</strong> surface or front color while design<strong>in</strong>g products requir<strong>in</strong>g longtimeread<strong>in</strong>g. Moreover, the designer should be knowledgeable about the effects <strong>of</strong> visual disorders on the perception<strong>of</strong> colors by people. For example, he/she should know what color bl<strong>in</strong>dness is and what effects it <strong>in</strong>duces; learn howto use red and green colors on the same surface or to create a contrast appropriately so that undesired outcomes canbe avoided.<strong>The</strong> use <strong>of</strong> colors <strong>in</strong> computer assisted language learn<strong>in</strong>g s<strong>of</strong>twareIn most <strong>of</strong> the educational s<strong>of</strong>tware programs, pictures, figures, tables etc. are used <strong>in</strong> teach<strong>in</strong>g <strong>of</strong> subjects, yet,<strong>in</strong> language teach<strong>in</strong>g, particularly <strong>in</strong> teach<strong>in</strong>g <strong>of</strong> grammar, most powerful elements to enhance teach<strong>in</strong>g are colors.Suffixes and prefixes, tense suffixes, changes and differences <strong>in</strong> verb <strong>in</strong>flections can only be emphasized throughcolors. Look at the follow<strong>in</strong>g example to teach some suffixes <strong>in</strong> Turkish (Figure 1):Figure 1. Educational s<strong>of</strong>tware sample to teach some suffixes <strong>in</strong> Turkish42www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1In figure, you can see the subject selection screen <strong>of</strong> the educational s<strong>of</strong>tware programs developed by Turkishlanguage pre-service teachers to teach some suffixes <strong>in</strong> Turkish. In this screen, you can click on the subject you wantto learn and then you are directed to the relevant screen (Figure 2).Figure 2. Subject teach<strong>in</strong>g screen (-e suffix added to word “ev”)In figure 2, there is a hero <strong>in</strong> this s<strong>of</strong>tware program: “Ali”. <strong>The</strong> subject is taught through the activities Ali carriesout. As an object “Ev” (house) is selected. Some suffixes are taught by us<strong>in</strong>g the <strong>in</strong>teractions between Ali and “Ev”. Inthe sentence “Ali eve gidiyor”, the purpose is to teach –e suffix. <strong>The</strong> subject is taught with a sentence. In the example,for better presentation, -e suffix can be shown <strong>in</strong> a different color or at least it can be underl<strong>in</strong>ed or written <strong>in</strong> bold. Insubject teach<strong>in</strong>g, while present<strong>in</strong>g the word ev(e) <strong>in</strong> the sample sentence, -e suffix can be zoomed. Moreover, a color<strong>in</strong>side the house (for example, blue) may be selected, and Ali’s hat, the title <strong>of</strong> the subject and –e suffix <strong>in</strong> the title and–e suffix <strong>in</strong> the sample sentence can be <strong>in</strong> blue, <strong>in</strong> this way subject teach<strong>in</strong>g can be consolidated.In figure 3, the sample sentence is “Ali evde” and here the purpose is to teach –de suffix. In the subjectselection screen, Ali’s entrance to the house should be shown through an animation and <strong>in</strong> this screen, the subjectshould be taught by show<strong>in</strong>g that Ali is <strong>in</strong> the house. To teach better, the door <strong>of</strong> the house can be yellow and –desuffix can also be written <strong>in</strong> yellow. Moreover, the teach<strong>in</strong>g can be consolidated by mak<strong>in</strong>g the color <strong>of</strong> the roomwhere Ali is yellow, subject selection button (-de) <strong>in</strong> subject selection screen can be <strong>in</strong> yellow, subject title (figure 3)can be <strong>in</strong> yellow.Fig. 3. Subject Teach<strong>in</strong>g Screen (Suffix show<strong>in</strong>g the state <strong>of</strong> be<strong>in</strong>g <strong>in</strong>side the house)As a result, every element used <strong>in</strong> the design (character, surface color, font color, button design, subject title,43www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1sample and explanation) should be designed <strong>in</strong> such a way that each should complete each other and contribute tothe teach<strong>in</strong>g <strong>of</strong> subject.CONCLUSIONWhen the fact that educational technologies are develop<strong>in</strong>g fast and all the educational sett<strong>in</strong>gs will bepresented <strong>in</strong> digital environments <strong>in</strong> the future is considered, it seems to be clear that the people who will designeducational s<strong>of</strong>tware programs should be knowledgeable about the basic pr<strong>in</strong>ciples <strong>of</strong> education and ma<strong>in</strong> pr<strong>in</strong>ciples<strong>of</strong> graphic design. In this paper, we focused on one <strong>of</strong> the most important elements <strong>of</strong> design, color, and somesamples were given here to show how color can be used to make language teach<strong>in</strong>g more effective. It should be notedthat “Design is not a magic, many trails are made until the correct design is found (Atasay, 2012)”. <strong>The</strong>refore, it shouldbe underl<strong>in</strong>ed that for good design, much time should be spent on the material. But it is worth do<strong>in</strong>g because <strong>in</strong> thedigital environment, the <strong>in</strong>formation can be reached by millions <strong>of</strong> people.REFERENCESAtasay, B., (2012). Grafik Tasarım, Lesson Tutorials <strong>of</strong> Gazi University.Fidan, B. (2009). Grafik tasarımın temel ilkeleri ve bil<strong>in</strong>mesi gerekenler. Journel <strong>of</strong> Grafik Tasarım,August 2009., http://www.grafiktasarim.org/<strong>in</strong>dex.php?option=com_content&view=article&id=374:grafiktasarmn-temel-lkeleri-ve-bil<strong>in</strong>mesi-gerekenler&catid=42:sektoer-haberler&Itemid=87.Fidan, B. (2012).Tasarımın İlkeleri. Journel <strong>of</strong> Grafik Tasarım, May-June 2012, 83-85.Fiell, P. (2005). Graphic Design Now. S<strong>in</strong>gapore: Taschen, (Introduction).Wong, W. (1997). Pr<strong>in</strong>ciples <strong>of</strong> Color Design: Design<strong>in</strong>g with elecktronic color. (2nd ed.), Canada,(Part 2).44www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Has Anyth<strong>in</strong>g Changed about the Teachersand the Teach<strong>in</strong>g <strong>of</strong> High SchoolEconomics <strong>in</strong> 20 years?Sudesh Mujumdar[1], Curtis Price[2], Gregory P. Valent<strong>in</strong>e [3]ABSTRACTThis paper surveys high school economics <strong>in</strong>struction <strong>in</strong> the state <strong>of</strong>Indiana (U.S.A). Compared to results from previous such surveys (1996,2003), current survey results <strong>in</strong>dicate the follow<strong>in</strong>g: 1) A largerproportion <strong>of</strong> the <strong>in</strong>structors are female, younger and have moreexperience <strong>in</strong> teach<strong>in</strong>g economics. This change <strong>in</strong> demographic pro<strong>file</strong>(if reflected nationally) has important implications for the gendercomposition <strong>of</strong> economics-related pr<strong>of</strong>essions and the gender-gap <strong>in</strong>earn<strong>in</strong>gs. 2) While computer-based <strong>in</strong>struction and classroomexperiments have become somewhat more common, the lecture methodis still the dom<strong>in</strong>ant pedagogy. This learn<strong>in</strong>g environment is far removedfrom the one that “neomillenials” are drawn to with not so salutaryimplications for the development <strong>of</strong> economics fluency. 3) <strong>The</strong> dualpursuit <strong>of</strong> personal f<strong>in</strong>ance literacy and economics literacy may beblunt<strong>in</strong>g the effectiveness <strong>of</strong> the latter competency.[1] Associate Pr<strong>of</strong>essor <strong>of</strong>Economics and Chair,Department <strong>of</strong> Economics andMarket<strong>in</strong>g,College <strong>of</strong> Bus<strong>in</strong>ess,University <strong>of</strong> Southern Indiana.8600 University BoulevardEvansville, IN 47712smujumda@usi.edu[2] Assistant Pr<strong>of</strong>essor <strong>of</strong>Economics,Department <strong>of</strong> Economics andMarket<strong>in</strong>g,College <strong>of</strong> Bus<strong>in</strong>ess,University <strong>of</strong> Southern Indiana.8600 University BoulevardEvansville, IN 47712crprice1@usi.edu[3] Pr<strong>of</strong>essor <strong>of</strong> Bus<strong>in</strong>essEducation,Department <strong>of</strong> Economics andMarket<strong>in</strong>g,College <strong>of</strong> Bus<strong>in</strong>ess,University <strong>of</strong> Southern Indiana.8600 University BoulevardEvansville, IN 47712gvalenti@usi.eduKeywords:focused survey, economics literacy, “neomillenials”INTRODUCTIONStudents enter<strong>in</strong>g high school <strong>in</strong> the state <strong>of</strong> Indiana prior to the Fall <strong>of</strong> 2007 fell under the General Diplomacurriculum. Under this curriculum, students were required to take 4 credits <strong>of</strong> social studies courses <strong>in</strong>clud<strong>in</strong>g 2 U.S.History credits, 1 credit <strong>in</strong> U.S. Government, and 1 credit <strong>in</strong> “Any social studies course”. For students enter<strong>in</strong>g highschool <strong>in</strong> the Fall <strong>of</strong> 2007 and later, the Indiana General Assembly has mandated that students complete the Core 40curriculum as a requirement for graduation. Further, the Assembly mandated that from the Fall <strong>of</strong> 2011 all Indianapublic Universities (four-year <strong>in</strong>stitutions) are to have the Core 40 diploma as a requirement for admission. Besidesother differences, the Core 40 curriculum <strong>in</strong>creases the social studies requirement to 6 credits <strong>of</strong> which one creditmust be <strong>in</strong> the area <strong>of</strong> economics. This <strong>in</strong>creased focus on economics <strong>in</strong> the high-school curriculum and for admissionto a university forms the impetus for the current study. Specifically, this study seeks to exam<strong>in</strong>e how the <strong>in</strong>creasedfocus has impacted the: 1) demographic characteristics <strong>of</strong> those engaged <strong>in</strong> high-school economics <strong>in</strong>struction <strong>in</strong>Indiana. 2) pedagogies employed <strong>in</strong> the teach<strong>in</strong>g <strong>of</strong> economics, and 3) distribution <strong>of</strong> class-time among differenteconomics topics (as outl<strong>in</strong>ed <strong>in</strong> the economics standards set forth by the Indiana Department <strong>of</strong> Education). 1METHODOLOGY1 Note that this paper steers away from exam<strong>in</strong><strong>in</strong>g the impact <strong>of</strong> the <strong>in</strong>creased economics focus on learn<strong>in</strong>goutcomes <strong>in</strong> non-economics/f<strong>in</strong>ance-related curricula for high school students <strong>in</strong> Indiana. This may be a worthwhileendeavor for future research as there is some evidence that economics mandates are associated with a decrease <strong>in</strong>general educational atta<strong>in</strong>ment by high school students (Belfield and Lev<strong>in</strong>, 2004).45www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1This paper seeks to address the concerns described above by develop<strong>in</strong>g and implement<strong>in</strong>g a focused survey.Us<strong>in</strong>g a list<strong>in</strong>g <strong>of</strong> qualified economics teachers with<strong>in</strong> the state <strong>of</strong> Indiana – ma<strong>in</strong>ta<strong>in</strong>ed at the Indiana Department <strong>of</strong>Education’s website, 437 (relevant) <strong>in</strong>dividuals along with their respective email-addresses were identified. Surveysabout “Economics Instruction at the High School Level” were adm<strong>in</strong>istered onl<strong>in</strong>e through the University <strong>of</strong> SouthernIndiana’s Office <strong>of</strong> Plann<strong>in</strong>g, Research, and Assessment. Potential respondents were contacted through theirrespective email-addresses and asked to take the Survey. After two weeks, a round <strong>of</strong> ‘rem<strong>in</strong>der-emails’ was sent out.At the end <strong>of</strong> four weeks from the first round <strong>of</strong> emails, the survey <strong>in</strong>strument was taken <strong>of</strong>fl<strong>in</strong>e and the data weretabulated. <strong>The</strong>re were a total <strong>of</strong> 69 responses for a response rate <strong>of</strong> 15.8%. 2F<strong>in</strong>d<strong>in</strong>gs and Discussion on DemographicsAs part <strong>of</strong> the survey, demographic <strong>in</strong>formation about the teachers was collected. This data is summarized <strong>in</strong>Table 1 below.Table 1: Summary DemographicsVariable Range Mean SeGender; 1 = Female (n=68) 0-1 0.382 0.060Age 25-66 44.2 1.2Years Experience Teach<strong>in</strong>g 0-42 17.5 1.2Years Exp Teach<strong>in</strong>g Econ 0-39 13.5 1.1Highest Degree = Bachelors 0-1 0.290 0.055Highest Degree = Masters 0-1 0.667 0.057Highest Degree = Doctorate 0-1 0.014 0.014Highest Degree = Other 0-1 0.029 0.020Year Graduate with undergrad (n=20) 1986-2006 1998.7 1.3Year Graduate with grad (n=45) 1970-2011 1995.9 1.8Year Graduate with Highest Ed (n=2) 1979-2002 1990.5 11.5Attended Workshop at regional center? 0-1 0.618 0.059Teach Only Standard Econ Course 0-1 0.721 0.055Teach Only AP Econ Course 0-1 0.044 0.025Teach Both AP and Standard Econ Courses 0-1 0.235 0.052Surveys similar to the current one were implemented <strong>in</strong> 1996 (Quddus and Valent<strong>in</strong>e; 1998) and 2003(Khayum, Valent<strong>in</strong>e, and Friesner; 2006). Interest<strong>in</strong>g comparisons emerge between the data from these earliersurveys and those from surveys <strong>in</strong> the current study. Quddus and Valent<strong>in</strong>e (QV, hereafter) f<strong>in</strong>d that 21% <strong>of</strong> thesurveyed respondents are female, and Khayum, Valent<strong>in</strong>e and Friesner (KVF, hereafter) f<strong>in</strong>d that this proportion is25%. Table 1 above reveals that 38% <strong>of</strong> the respondents are female. This suggests that over time the proportion <strong>of</strong>females teach<strong>in</strong>g high school economics courses <strong>in</strong> the state <strong>of</strong> Indiana is grow<strong>in</strong>g. No such clear trend emerges withrespect to the average age <strong>of</strong> the respondents. QV report an average age <strong>of</strong> 45, KVF, 46.6, and the current study,44.2. Table 2 helps shed further light on this age-issue.2 Anecdotal evidence <strong>in</strong>dicates that the list <strong>of</strong> teachers may <strong>in</strong>clude a few who are not currently teach<strong>in</strong>geconomics but have been licensed to teach economics.46www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table 2: Frequency Distribution <strong>of</strong> Demographic TraitsVariable Frequency Cumulative DistributionAge Range25-29 3 5%30-39 20 35%40-49 20 65%50-59 18 92%60-69 5 100%Teach<strong>in</strong>g Experience – number <strong>of</strong> years0-9 16 24%10-19 25 62%20-29 17 88%30-39 7 99%40-49 1 100%Econ Teach<strong>in</strong>g Experience – number <strong>of</strong> years0-9 28 42%10-19 22 75%20-29 12 93%30-39 5 100%Highest Degree 0Bachelors 20 29%Masters 46 96%Doctorate 1 97%Other 2 100%<strong>The</strong> above table reveals that 65.2% <strong>of</strong> the survey respondents are under the age <strong>of</strong> 50, and 40%, below theage <strong>of</strong> 40. In contrast, KVF f<strong>in</strong>d that only 22% <strong>of</strong> respondents are below the age <strong>of</strong> 40. Further, while KFV f<strong>in</strong>d that39% <strong>of</strong> respondents have less than 20 years teach<strong>in</strong>g experience, the current study f<strong>in</strong>ds this proportion to be 62%. Inkeep<strong>in</strong>g with this phenomenon, while KVF f<strong>in</strong>d that 82% <strong>of</strong> the respondents hold a graduate degree (83% <strong>in</strong> QV),survey data from the current study reveals that this proportion is only 66.7%. Thus the comb<strong>in</strong>ed evidence <strong>in</strong>dicatesthat the age-pro<strong>file</strong> <strong>of</strong> economics <strong>in</strong>structors is grow<strong>in</strong>g younger over time.While the overall teach<strong>in</strong>g experience is lower, economics teach<strong>in</strong>g experience is higher among respondents <strong>in</strong>the current study. QV, <strong>in</strong> their 1996 survey data, f<strong>in</strong>d that respondents have an average <strong>of</strong> only 2 years <strong>of</strong> economicsteach<strong>in</strong>g experience. This proportion rises considerably to 12.9 years <strong>in</strong> the 2003 survey data <strong>of</strong> KVF and experiencesa further <strong>in</strong>crease to 13.5 years <strong>in</strong> the survey data from the current study.<strong>The</strong> above results <strong>in</strong>dicate that as older educators retire ( through natural attrition), they are be<strong>in</strong>g replaced byeducators who are younger, with a greater female proportion, and with greater economics teach<strong>in</strong>g experience – withthe latter phenomenon be<strong>in</strong>g perhaps l<strong>in</strong>ked to the greater societal emphasis on economics literacy.FINDINGS AND DISCUSSION ON PEDAGOGYHigh school students’ wak<strong>in</strong>g-hours are characterized by the use all k<strong>in</strong>ds <strong>of</strong> electronic communication devicesthat, among other th<strong>in</strong>gs, help <strong>in</strong>tegrate the Internet <strong>in</strong>to their daily function<strong>in</strong>g – mak<strong>in</strong>g for a diverse, hyperstimulatedenvironment. Are the modes <strong>of</strong> <strong>in</strong>struction reflect<strong>in</strong>g or captur<strong>in</strong>g the reality <strong>of</strong> such an environment? Toaddress this question, the survey implemented <strong>in</strong> this study also asked a series <strong>of</strong> questions about how the <strong>in</strong>structorpresents material to the students. <strong>The</strong> responses perta<strong>in</strong><strong>in</strong>g to these questions are summarized <strong>in</strong> the follow<strong>in</strong>g table.47www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table 3. Presentation ToolsAudio/Pod CastsWeb based<strong>in</strong>struction/YouTubepresentationsGuestSpeakersLecturePowerPo<strong>in</strong>tslidesTeamTeach<strong>in</strong>gTVprogramsNever 52% 15% 16% 3% 9% 71% 13% 32%LittleUse31% 18% 36% 7% 13% 17% 25% 9%Some <strong>of</strong>the Time11% 57% 45% 36% 41% 11% 57% 43%Most <strong>of</strong>the Time3% 4% 1% 51% 33% 2% 4% 13%All <strong>of</strong>the Time2% 6% 1% 3% 4% 0% 0% 3%OtherIn discuss<strong>in</strong>g the data <strong>in</strong> the above table, some comparisons to older Indiana teacher surveys are aga<strong>in</strong><strong>in</strong>terest<strong>in</strong>g. As expected, s<strong>in</strong>ce 1993, the only other time that data was collected on presentation tools, the use <strong>of</strong>computers and the other <strong>in</strong>ternet resources has <strong>in</strong>creased dramatically. In particular, <strong>in</strong> the 1996 survey, QV note that80% <strong>of</strong> responders stated that they never used audio as a classroom presentation tool. In the current survey, this hasdecreased to about half <strong>of</strong> the responders at 52%. Even so, compar<strong>in</strong>g the previous study with this one, it still seemsthat audio is not the most important tool <strong>in</strong> the class room. Interest<strong>in</strong>gly, TV programs have not become moreimportant <strong>in</strong> the high school classroom. One would expect that s<strong>in</strong>ce the recession <strong>of</strong> 2008 and the <strong>in</strong>creas<strong>in</strong>gattention that economics gets with<strong>in</strong> the scope <strong>of</strong> national television programm<strong>in</strong>g that TV programs would havebecome a more valuable tool <strong>in</strong> teach<strong>in</strong>g economics. Nonetheless, the use <strong>of</strong> TV programs has not <strong>in</strong>creased but thatusage has dist<strong>in</strong>ctly decreased. 71% percent <strong>of</strong> the respondents <strong>in</strong> the current survey state that they never use TVprograms compared to 23% stat<strong>in</strong>g the same <strong>in</strong> QV. It is likely that there has been a reallocation <strong>of</strong> time away fromthe use <strong>of</strong> TV programs and towards the use <strong>of</strong> Internet resources and other digital media.In the current survey, 87% <strong>of</strong> teachers say that they use lecture either some or most <strong>of</strong> the time. In the 1996survey <strong>of</strong> QV, 95% <strong>of</strong> the respondents <strong>in</strong>dicated that lecture was used some or most <strong>of</strong> the time. S<strong>in</strong>ce teach<strong>in</strong>g is apr<strong>of</strong>ession which requires an undergraduate degree, it is reasonable that teachers <strong>in</strong> a high school sett<strong>in</strong>g will mimicthe ways <strong>in</strong> which they were taught. On a national scale, Watts & Becker (2008) have surveyed college economistsabout teach<strong>in</strong>g methods <strong>in</strong> universities with surveys be<strong>in</strong>g completed every five years s<strong>in</strong>ce 1995. <strong>The</strong>y show that,although there is some movement away from us<strong>in</strong>g lecture as the ma<strong>in</strong> presentation tool, academic economists stilluse somewhere between 69-83% <strong>of</strong> their time <strong>in</strong> the classroom lectur<strong>in</strong>g.While Lecture still seems to be the dom<strong>in</strong>ant mode <strong>of</strong> present<strong>in</strong>g educational material, what else is go<strong>in</strong>g on <strong>in</strong>the classroom? That is, what type <strong>of</strong> diversity do students encounter with regard to the vehicles for learn<strong>in</strong>g thematerial, and how has this changed with time? Table 4 below helps address this issue.Table 4: Classroom ActivitiesClassroomExperimentsComputer LabsGames andSimulationsGroupProjectsReferences to Sports,Drama, etc.?OtherActivitiesNever 23% 11% 4% 6% 6% 47%Little Use 34% 17% 22% 19% 11% 11%Some <strong>of</strong>the Time36% 61% 59% 60% 56% 35%Most <strong>of</strong>the Time6% 8% 13% 12% 20% 7%All <strong>of</strong> theTime0% 3% 1% 3% 8% 0%In both the current data and QV, group projects and, games and simulations seem to be the most favoredclassroom activities, with 73% stat<strong>in</strong>g that they use games and simulations at least some <strong>of</strong> the time (compared to80% <strong>in</strong> QV) and 85% stat<strong>in</strong>g that they use group projects at least some <strong>of</strong> the time (compared to 76% <strong>in</strong> QV). Oneother <strong>in</strong>terest<strong>in</strong>g note is that classroom experiments seem to have dim<strong>in</strong>ished <strong>in</strong> use with 42% <strong>in</strong> the current survey48www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1stat<strong>in</strong>g that they use it at least some <strong>of</strong> the time compared to 51% stat<strong>in</strong>g the same <strong>in</strong> the data collected <strong>in</strong> QV. Onewould expect that as a younger demographic <strong>of</strong> economics <strong>in</strong>structors beg<strong>in</strong> teach<strong>in</strong>g at the high school level, thispedagogy would become more prevalent, not less so. Nonetheless, data from national surveys <strong>of</strong> economics<strong>in</strong>struction <strong>in</strong> colleges and universities show that classroom experiments are not common pedagogy <strong>in</strong> collegeeconomics courses and this may contribute to the lack <strong>of</strong> familiarity with us<strong>in</strong>g experiments as a learn<strong>in</strong>g tool (Wattsand Becker 2008). 3While there is some <strong>in</strong>crease <strong>in</strong> the presence <strong>of</strong> Internet and digital resources, the educational environmentthat high school students encounter neither has been nor currently is characterized by much diversity with regard tothe modes <strong>of</strong> learn<strong>in</strong>g.Given that Lecture is the primary mode <strong>of</strong> <strong>in</strong>struction, the use <strong>of</strong> a textbook is likely to have an importantimpact on learn<strong>in</strong>g. <strong>The</strong> survey implemented <strong>in</strong> the current study also asked <strong>in</strong>structors to identify which texts, if any,they were us<strong>in</strong>g <strong>in</strong> the class room. <strong>The</strong> list <strong>of</strong> ‘approved’ texts was compiled by draw<strong>in</strong>g on <strong>in</strong>formation from thewebsite <strong>of</strong> the Indiana Department <strong>of</strong> Education. 4 Respondents were then asked to identify the textbook theyrespectively employed from this list. Options for ‘no text’ and ‘other text’ were also <strong>in</strong>cluded <strong>in</strong> the survey. 5Responses on the Textbook question are summarized <strong>in</strong> Table 5 below.Table 5: Textbook SelectionTitle Publisher Proportion Us<strong>in</strong>gEssentials <strong>of</strong> Economics Bedford, Freeman & Worth 1.5%Contemporary Economics Cengage 0%Economics, <strong>New</strong> Ways <strong>of</strong> Th<strong>in</strong>k<strong>in</strong>g EMC Publish<strong>in</strong>g 2.9%Economics: Pr<strong>in</strong>ciples and Practices Glencoe/McGraw-Hill 29.4%Economics: Today and Tomorrow Glencoe/McGraw-Hill) 8.8%Economics: Concepts and Choices Holt McDougal 10.3%Economics Holt McDougal 2.9%Economics: Pr<strong>in</strong>ciples <strong>in</strong> Action Prentice Hall 30.9%Contemporary's Economics Wright Group/McGraw-Hill 0%Other 16.2%None 4.4%As expected, the results <strong>in</strong> Table 5 show that only 4.4% <strong>of</strong> respondents said that there was no textbook used <strong>in</strong>the course. Of the available texts, two account for more than 60% <strong>of</strong> all text book usage by respondents. <strong>The</strong>se arePrentice Hall’s Economics: Pr<strong>in</strong>ciples <strong>in</strong> Action and Glencoe/McGraw-Hill’s Economics: Pr<strong>in</strong>ciples and Practices. It is notclear why these particular textbooks were popular choices. Future surveys could perhaps drill down further <strong>in</strong>to thisf<strong>in</strong>d<strong>in</strong>g by <strong>in</strong>quir<strong>in</strong>g about the process regard<strong>in</strong>g the selection <strong>of</strong> the textbook – especially, explor<strong>in</strong>g the l<strong>in</strong>kage withlearn<strong>in</strong>g outcomes. 63 Care must be taken when discuss<strong>in</strong>g classroom activities such as experiments and, games and simulationsbecause it is difficult to ascerta<strong>in</strong> what the survey respondent considers to be a game versus a classroom experiment.In future surveys, this issue should be clarified. However, the current survey is conducted us<strong>in</strong>g these descriptions t<strong>of</strong>acilitate the comparison to older surveys which use these same categories <strong>of</strong> activities.4Specifically the <strong>in</strong>formation on approved texts comes fromhttp://dew4.doe.<strong>in</strong>.gov/WF/TEXTBOOK/r07/2008_dpita07.cgi which was accessed through the textbook portion <strong>of</strong>the Indiana Department <strong>of</strong> Education’s website here: http://www.doe.<strong>in</strong>.gov/opd/textbook/ .5 <strong>The</strong> state <strong>of</strong> Indiana, although it does textbook approvals at the state level, gives <strong>in</strong>dividual schools muchleeway about choos<strong>in</strong>g a text. This is illustrated <strong>in</strong> an open letter to educators penned by the current director, Dr.Tony Bennett. <strong>The</strong> letter is available on the Indiana Department <strong>of</strong> Education’s website here:http://www.doe.<strong>in</strong>.gov/opd/textbook/docs/TextbookFlexibility020609f.pdf6 Note that previous surveys did not collect data on textbook choices and use.49www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1FINDINGS AND DISCUSSION ON CLASSROOM CONTENTOne <strong>of</strong> the mandates <strong>of</strong> Indiana’s Department <strong>of</strong> Education is determ<strong>in</strong><strong>in</strong>g content-coverage for schoolcourses.For economics, the Department has identified 8 topics that must be covered. Do all topics receive ‘equaltreatment’ <strong>in</strong> terms <strong>of</strong> the time spent cover<strong>in</strong>g them? Address<strong>in</strong>g this question carries implications for identify<strong>in</strong>g thedoma<strong>in</strong>s <strong>of</strong> strength <strong>in</strong> the economics literacy <strong>of</strong> high school graduates.<strong>The</strong> survey <strong>in</strong> the current study asked each respondent to estimate the number <strong>of</strong> class periods that he/shespends on each prescribed topic. <strong>The</strong> percentage <strong>of</strong> total time spent on each topic was then computed (for eachrespondent) <strong>in</strong> the follow<strong>in</strong>g fashion. First, the sum <strong>of</strong> all periods spent on all topics was taken and then andmultiplied by 0.75 (1.5) if the respondent stated that he/she used standard periods (block periods). This gives us anestimate <strong>of</strong> the total number <strong>of</strong> hours spent on teach<strong>in</strong>g economics content. Second, the number <strong>of</strong> periods spent oneach topic is multiplied by the appropriate factor (1.5 or 0.75) and then divided by the total. Table 4 summarizes thedistribution across topics.Table 4. Percent <strong>of</strong> time spent on Economics Content by TopicECONOMICS CONTENT – as % <strong>of</strong> total time <strong>in</strong> economics Proportion Std. Err.Scarcity and Economic Reason<strong>in</strong>g 0.119 0.006Supply and Demand 0.195 0.010Market Structures 0.121 0.007<strong>The</strong> Role <strong>of</strong> Government 0.114 0.005National Economic Performance 0.106 0.006Money and the Role <strong>of</strong> F<strong>in</strong>ancial Institutions 0.128 0.007Economic Stabilization 0.095 0.006Trade 0.080 0.006Not surpris<strong>in</strong>gly, the bulk <strong>of</strong> the time spent cover<strong>in</strong>g economics content is on the study <strong>of</strong> the supply anddemand model (as it forms the basis for understand<strong>in</strong>g price movements across all types <strong>of</strong> <strong>in</strong>dustries – both goodsand services). <strong>The</strong> rest <strong>of</strong> the time spent on economics <strong>in</strong>struction seems to be more or less evenly distributed amongthe rema<strong>in</strong><strong>in</strong>g 7 topics with Trade receiv<strong>in</strong>g the smallest average proportion <strong>of</strong> time spent – the latter phenomenoncan perhaps be attributed to the fact that <strong>in</strong>ternational trade is a relatively small fraction (around 20%) <strong>of</strong> overalleconomic activity (GDP) <strong>in</strong> the U.S.Effective July 1, 2009, the Indiana Department <strong>of</strong> Education implemented Indiana Code 20-30-5-19, as addedby Public Law 154-2009 which provides direction for Personal F<strong>in</strong>ancial Responsibility <strong>in</strong>struction. This law mandatesthat each School Corporation, Charter School, and accredited nonpublic school <strong>in</strong>clude <strong>in</strong> its curriculum for allstudents <strong>in</strong> grades 6 through 12, <strong>in</strong>struction concern<strong>in</strong>g personal f<strong>in</strong>ancial responsibility. Furthermore, the law statesthat these schools may meet the requirement by: (1) <strong>in</strong>tegrat<strong>in</strong>g relevant content <strong>in</strong> its overall curriculum or, (2)conduct<strong>in</strong>g a sem<strong>in</strong>ar that is designed to foster overall personal f<strong>in</strong>ancial responsibility <strong>in</strong> a manner appropriate foreach grade level as a separate subject or as units <strong>in</strong>corporated <strong>in</strong>to appropriate subjects. <strong>The</strong> guidel<strong>in</strong>es further statethat all students <strong>in</strong> grades 6 – 12 will participate <strong>in</strong> f<strong>in</strong>ancial literacy education via an <strong>in</strong>structional unit at least once bythe end <strong>of</strong> the eighth grade and more than once by the end <strong>of</strong> the twelfth grade.Personal f<strong>in</strong>ance is arguably closely related to economics even though they are deemed to have two differentsets <strong>of</strong> objectives as determ<strong>in</strong>ed by the Indiana Department <strong>of</strong> Education. As a result, one may ma<strong>in</strong>ta<strong>in</strong> that schoolsmay seek to cover personal f<strong>in</strong>ance topics <strong>in</strong> their economics courses. To test this conjecture, the current survey<strong>in</strong>cluded the explicit question <strong>of</strong> whether personal f<strong>in</strong>ance topics were covered <strong>in</strong> the economics course. 84% <strong>of</strong> therespondents stated that they covered at least one personal f<strong>in</strong>ance topic <strong>in</strong> their economics course (provid<strong>in</strong>gsubstantial evidence <strong>in</strong> support <strong>of</strong> the conjecture). <strong>The</strong> survey also asked how class periods were distributed acrossthe different personal f<strong>in</strong>ance topics. Table 7 below documents the distribution <strong>of</strong> time across economics andpersonal f<strong>in</strong>ance content.50www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table 7. Personal F<strong>in</strong>ance vs. Economics InstructionMeanTotal Time (estimated hours) 75.3 4.659Total Time on Economics (estimated hours) 52.4 2.798Total Time on Personal F<strong>in</strong>ance (estimated hours) 22.9 3.809Proportion on Economics 0.742 0.025Proportion on Personal F<strong>in</strong>ance 0.258 0.025SECaution should be used <strong>in</strong> suggest<strong>in</strong>g that economics and personal f<strong>in</strong>ance are entirely disconnected subjects.Even so, the results <strong>in</strong> Table 7 suggest that approximately 25% <strong>of</strong> the total economics class time was allocated towardscover<strong>in</strong>g personal f<strong>in</strong>ance topics. This is an important f<strong>in</strong>d<strong>in</strong>g as it has bear<strong>in</strong>g on the quality <strong>of</strong> economics literacy <strong>of</strong>high school graduates and their preparedness for College-level economics courses.CONCLUSIONThis paper sets out to exam<strong>in</strong>e how the teachers and the teach<strong>in</strong>g <strong>of</strong> economics at the high school level haveundergone change follow<strong>in</strong>g a legislative measure that elevates the subject’s relative importance <strong>in</strong> the curriculum <strong>in</strong>the State <strong>of</strong> Indiana. This exam<strong>in</strong>ation is undertaken by implement<strong>in</strong>g a focused survey <strong>of</strong> high school teachers <strong>in</strong>Indiana and compar<strong>in</strong>g the results with those <strong>of</strong> previous such surveys. <strong>The</strong> pr<strong>in</strong>cipal f<strong>in</strong>d<strong>in</strong>gs are as follows:1) An important demographic change is uncovered; a higher proportion <strong>of</strong> the survey-respondents areyounger, female, and have greater experience <strong>in</strong> the teach<strong>in</strong>g <strong>of</strong> economics compared to previous, similar surveys(1996, 2003). Follow<strong>in</strong>g Correll (2001), this may encourage more female students to consider an economics-relatedcareer path as the culturally-<strong>in</strong>duced perception-bias <strong>of</strong> economics be<strong>in</strong>g a ‘male subject’ is challenged and, <strong>in</strong> manycases, dismantled. If this demographic effect were to occur on a national scale, then it may help contribute to afurther narrow<strong>in</strong>g <strong>of</strong> the gender-gap <strong>in</strong> earn<strong>in</strong>gs by blurr<strong>in</strong>g the gender-stratifications that underlie the occupationallyl<strong>in</strong>kedearn<strong>in</strong>gs-ladder.2) Lecture cont<strong>in</strong>ues to be the predom<strong>in</strong>ant mode <strong>of</strong> <strong>in</strong>struction accompanied by little diversity <strong>in</strong> modes <strong>of</strong>learn<strong>in</strong>g. As Dede (2007) po<strong>in</strong>ts out, this learn<strong>in</strong>g environment is at complete odds with the “learn<strong>in</strong>g strengths,styles, and preferences neomillenial students acquire from their use <strong>of</strong> immersive collaborative media, such asmultiplayer onl<strong>in</strong>e games.” This ‘alien’ learn<strong>in</strong>g environment bodes ill for not just the economics fluency <strong>of</strong> high schoolstudents but their command over other discipl<strong>in</strong>es as well.3) Another legislatively <strong>in</strong>duced focus on personal f<strong>in</strong>ance literacy may be crowd<strong>in</strong>g out the pursuit <strong>of</strong> effectiveeconomics literacy skills, highlight<strong>in</strong>g the pitfalls <strong>of</strong> implement<strong>in</strong>g seem<strong>in</strong>gly uncoord<strong>in</strong>ated, piecemeal legislativedirectives.REFERENCESBelfield, Clive R. and Henry M. Lev<strong>in</strong> (2004). Should high school economics courses be compulsory?Economics <strong>of</strong> Education Review, vol. 23, pp. 351-360.Corell, Shelly, J. (2001). Gender and the Career Choice Process: <strong>The</strong> Role <strong>of</strong> Biased SelfAssessments. American <strong>Journal</strong> <strong>of</strong> Sociology, vol. 106 (6), pp. 1691-1730.Dede, Chris. (2007). Transform<strong>in</strong>g Education for the 21 st Century: <strong>New</strong> Pedagogies that Help AllStudents Atta<strong>in</strong> Sophisticated Learn<strong>in</strong>g Outcomes. Harvard University: White Paper commissioned by theNCSU Friday Institute.Khayum, Mohammed, Gregory P. Valent<strong>in</strong>e, and Daniel Friesner (2006). A Response <strong>of</strong> High SchoolTeachers to the Adoption <strong>of</strong> State Economic Standards. <strong>The</strong> <strong>Journal</strong> <strong>of</strong> Economics and Economic EducationResearch , vol.7 (2), pp.47-72.Valent<strong>in</strong>e, Greg and Munir Quddus (1998). A Status Report <strong>of</strong> Indiana’s High School Economics:Survey Results. <strong>Journal</strong> <strong>of</strong> the Indiana Academy <strong>of</strong> the Social Sciences, vol. 2, pp.52-58.51www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Watts, Michael, William E. Becker (2008). A Little More than Chalk and Talk: Results from a ThirdNational Survey <strong>of</strong> Teach<strong>in</strong>g Methods <strong>in</strong> Undergraduate Economics Courses. <strong>The</strong> <strong>Journal</strong> <strong>of</strong> EconomicEducation, vol.39(3), pp. 273-286.Indiana Standards for Economics retrieved January 12, 2012 fromhttp://learn<strong>in</strong>gconnection.doe.<strong>in</strong>.gov/Standards/Standards.aspx?st=&...Personal F<strong>in</strong>ance Responsibility Instruction Guidel<strong>in</strong>es for Implementation retrieved January 12,2012 from http://www.doe.<strong>in</strong>.gov/octe/facs/docs/_09_9-2_StBrd_Guidel<strong>in</strong>es_PersF<strong>in</strong>Resp_Approved.pdfFACS: F<strong>in</strong>ancial Literacy Education, High School Academic Standards retrieved January 12, 2012from http://doe.<strong>in</strong>.gov/octe/facs/IndianaF<strong>in</strong>LitEd-HighSchStandards.html52www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1<strong>The</strong> Investigation <strong>of</strong> the Learn<strong>in</strong>g Styles<strong>of</strong> University StudentsSerap Özbaş [1][1] Assist. Pr<strong>of</strong>. Dr.Atatürk Education FacultyNear East University, KKTCMers<strong>in</strong>, 10, Turkeysozbass@hotmail.comABSTRACT<strong>The</strong> subject <strong>of</strong> this study is to determ<strong>in</strong>e the learn<strong>in</strong>g styles <strong>of</strong> universitystudents and to compare it with gender, and departments differences.In this study, McVay Lynch Learn<strong>in</strong>g Style Inventory was used. <strong>The</strong>learn<strong>in</strong>g style <strong>in</strong>ventory ,which consists <strong>of</strong> 59 articles and which is 3-Likert-Type scaled, <strong>in</strong>cludes three modes <strong>of</strong> learn<strong>in</strong>g called ‘visuallearn<strong>in</strong>g style’, ‘auditory learn<strong>in</strong>g style’ and k<strong>in</strong>esthetic learn<strong>in</strong>g style’.Accord<strong>in</strong>g to the result <strong>of</strong> the study, it was seen that approximately half<strong>of</strong> the students learned visually. By observ<strong>in</strong>g the <strong>in</strong>fluence <strong>of</strong> thegender on the learn<strong>in</strong>g styles <strong>of</strong> the students, it was found out that, <strong>in</strong>visual learn<strong>in</strong>g, girls had obvious higher averages rather than boys <strong>in</strong>statistical terms. In addition, it was also noted that, neither thedepartments <strong>of</strong> the students nor the common effect <strong>of</strong> the gender northe department doesn’t affect the learn<strong>in</strong>g styles.Keywords:learn<strong>in</strong>g, Investigation, learn<strong>in</strong>g stylesINTRODUCTIONPeople, use learn<strong>in</strong>g every day as it is the period <strong>of</strong> process<strong>in</strong>g the data. <strong>The</strong> purpose <strong>of</strong> people us<strong>in</strong>g learn<strong>in</strong>gis to manage and adopt the conditions which result <strong>in</strong> different learn<strong>in</strong>g styles (Brown, 2009). Thus, here it is seen that<strong>in</strong>dividuals might differ <strong>in</strong> learn<strong>in</strong>g styles. When we ask the mean<strong>in</strong>g <strong>of</strong> learn<strong>in</strong>g styles, we can easily notice that it isnot a brand new topic <strong>in</strong> education and can be encountered <strong>in</strong> the studies that took place <strong>in</strong> the last 20 years. It hasbeen observed by lots <strong>of</strong> different researchers and has always been one <strong>of</strong> the topics that has been taken <strong>in</strong>toconsideration with<strong>in</strong> the framework <strong>of</strong> learn<strong>in</strong>g ( Huston and Cohen, 1995, as cited <strong>in</strong> Brown et al. 2009; Ballone andCzerniak, 2001). ‘Learn<strong>in</strong>g Style’ was described as the path which <strong>in</strong>dividuals prefer <strong>in</strong> order to adopt the new data andstrategies that they process for active learn<strong>in</strong>g. In other words, learn<strong>in</strong>g styles are conceptual, cognitive, behavioralpatterns which are exposed to time and duties (Guild, 1994, as cited <strong>in</strong> Ballone and Czerniak,2001).Experts def<strong>in</strong>ed the learn<strong>in</strong>g styles <strong>in</strong> various ways as they made their assessments <strong>in</strong> different orientations.Due to this, learn<strong>in</strong>g styles have different def<strong>in</strong>itions and classifications (Yılmaz – Soylu ve Akkoyunlu, 2002). Forexample, the learn<strong>in</strong>g styles <strong>of</strong> Gregoric consist <strong>of</strong> four dimensions that <strong>in</strong>clude concrete-consecutive,abstractconsecutive,concrete-random and abstract-random (Guild and Garger, 1985, as cited <strong>in</strong> Ballone and Czerniak, 2001).In the learn<strong>in</strong>g styles <strong>of</strong> Kolb, there are also four styles. <strong>The</strong>se are: accommodator,diverger,converger andassimilator (Can, 2011; Yılmaz-Soylu ve Akkoyunlu, 2002). In the learn<strong>in</strong>g styles <strong>of</strong> Felder ve Soloman four differentlearn<strong>in</strong>g styles exist and these are the active-reflective scale, the sens<strong>in</strong>g /<strong>in</strong>tuitive scale,the visual/verbal scale andthe sequential /global Scale (Samancı and Kesk<strong>in</strong>, 2007). Vester mentioned three learn<strong>in</strong>g styles <strong>in</strong> his book called‘Th<strong>in</strong>k-Learn-Forget’ which was published <strong>in</strong> 1975. Accord<strong>in</strong>g to Vester, there are auditive, visual and haptic learn<strong>in</strong>gstyles (Beck, 2005). <strong>The</strong> McVay Lych Learn<strong>in</strong>g Styles Invantory which was used <strong>in</strong> this study consists <strong>of</strong> threedimensions called visual, auditory and k<strong>in</strong>esthetic. When these dimensions are observed;In visual learn<strong>in</strong>g students learn through see<strong>in</strong>g. Visual learners prefer visual aids like pictures, figuresand tables (Mills et al.. 2010).53www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1In auditory learn<strong>in</strong>g,students learn through hear<strong>in</strong>g. <strong>The</strong>y tend to prefer verbal and written materials(Mills et al., 2010).In k<strong>in</strong>esthetic learn<strong>in</strong>g, students learn as they perform.Learn<strong>in</strong>g styles are not stable. Students might adopt different styles depend<strong>in</strong>g on their subject and theirlearn<strong>in</strong>g environment (Pritchard, 2009, as cited <strong>in</strong> Alharbi et al., 2011). For example, some students might have one ortwo <strong>of</strong> the learn<strong>in</strong>g styles like visual , auditory and k<strong>in</strong>esthetic while others might have all <strong>of</strong> them.Determ<strong>in</strong><strong>in</strong>g the learn<strong>in</strong>g styles <strong>of</strong> students is <strong>of</strong> vital importance <strong>in</strong> order to collect data about theirpreferances. It creates awareness for the student. This awareness provides the learner to ga<strong>in</strong> knowledge dur<strong>in</strong>g hiseffort to learn and also acts as a motive for the learner to use the ga<strong>in</strong>ed. knowledge (Federico 2000, as cited <strong>in</strong> Brownet al., 2009). Learn<strong>in</strong>g styles not only creates awareness for the students but they can also be used to <strong>in</strong>form themabout their strengths and weaknesses. Be<strong>in</strong>g cognizant <strong>of</strong> their strengths and weaknesses might trigger them to bemore motivated to learn (C<strong>of</strong>field et al., 2004). Start<strong>in</strong>g from this po<strong>in</strong>t, the target was to determ<strong>in</strong>e different learn<strong>in</strong>gstyles among the university students that are registered to different departments. Consequently, the research wasbased on the preparatory school students s<strong>in</strong>ce they vary <strong>in</strong> terms <strong>of</strong> departments.In this study, it was aimed to determ<strong>in</strong>e the learn<strong>in</strong>g styles <strong>of</strong> the students who study at a private university’sprep school <strong>in</strong> Northern Cyprus. In addition, it was also aimed to see the impact <strong>of</strong> their genders and theirdepartments on their learn<strong>in</strong>g styles, these two elements (their genders and departments) were assessed bothmutually and separately. <strong>The</strong> data obta<strong>in</strong>ed from this study is thought to be useful for the studies that are done onlearn<strong>in</strong>g strategies and also to be beneficial for educational activities which are oriented on university students. <strong>The</strong>answers to the follow<strong>in</strong>g questions were sought:- What are the style <strong>of</strong> prep students like?- Does gender has an impact on learn<strong>in</strong>g styles <strong>of</strong> these students?- Do the departments <strong>of</strong> the students affect learn<strong>in</strong>g modes?- Do the genders and the departments <strong>of</strong> the students have a mutual effect on students’ learn<strong>in</strong>gstyles?Reveal<strong>in</strong>g the learn<strong>in</strong>g problems <strong>of</strong> the students, f<strong>in</strong>d<strong>in</strong>g out the preferances <strong>of</strong> them, help<strong>in</strong>g students f<strong>in</strong>dout the suitable learn<strong>in</strong>g methods and contribut<strong>in</strong>g the studies conducted on this subject can be accepted as thebenefits <strong>of</strong> observ<strong>in</strong>g learn<strong>in</strong>g strategiesMATERIALS AND METHOD<strong>The</strong> study group consists <strong>of</strong> 120 students (62 girls and 58 boys) who study at a prep school <strong>of</strong> a privateuniversity <strong>in</strong> the Northern Cyprus. <strong>The</strong> mean values <strong>of</strong> age <strong>of</strong> these students who were chosen randomly is 19.5 (Sd.1.3). <strong>The</strong> reason why these prep students were chosen is that they would cont<strong>in</strong>ue to study different departmentsafter complet<strong>in</strong>g their prep year. Thus, it was a great opportunity to see varied learn<strong>in</strong>g strategies. <strong>The</strong> departmentsthat these students would proceed are given below:Nutirition and Dietetics (20 students)Faculty <strong>of</strong> Pharmacy (17 students)Nurs<strong>in</strong>g (33 students)Bus<strong>in</strong>ess Management (29 students)Faculty <strong>of</strong> Eng<strong>in</strong>eer<strong>in</strong>g. (21 students)Maggie Mcvay Lynch Learn<strong>in</strong>g Strategy Inventory was used <strong>in</strong> this study. Maggie McVay Lynch Inventory wasadapted <strong>in</strong>to Turkish by Dağhan and Akkoyunlu <strong>in</strong> 2011. This 3 Likert- type- scaled <strong>in</strong>ventory’s actual form has 60items. However, the adaptation <strong>of</strong> it conta<strong>in</strong>s 59 items. Inventory is made up <strong>of</strong> three dimensions and these are: 1.Visual learnn<strong>in</strong>g style (21 items), 2. Auditory Learn<strong>in</strong>g Style (19 items), 3. K<strong>in</strong>esthetic Learn<strong>in</strong>g Style (19 items). For thereliability <strong>of</strong> this research, Cronbach Alpha value was calculated and the reliability <strong>of</strong> this study was found .80, where54www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1as the Turkish adaptation’s reliability was .95.<strong>The</strong> reliability <strong>of</strong> the learn<strong>in</strong>g strategies are given below:- Visual Learn<strong>in</strong>g : .68- Auditory Learn<strong>in</strong>g : .56- K<strong>in</strong>esthetic Learn<strong>in</strong>g: .58While evaluat<strong>in</strong>g the data, frequency, mean, standard deviation and percentage techniques were used. Ttest, one-way ANOVA and two-way ANOVA tecniques were used while assess<strong>in</strong>g the separate and mutual effect <strong>of</strong>the genders and the departments on learn<strong>in</strong>g styles <strong>of</strong> the students. For the normalcy, the assumptions werecontrolled. As the kurtosis and skewness were between -1 and +1, the distribution was accepted as normal.(skewness:.138; kurtosis: .95)RESULTSIn this part, the data collected from the analyses are given under the head<strong>in</strong>gs <strong>of</strong> ‘<strong>The</strong> Distribution Of <strong>The</strong>Learn<strong>in</strong>g Styles <strong>of</strong> Students’, ‘<strong>The</strong> Effect Of Gender On the Learn<strong>in</strong>g Styles, ‘<strong>The</strong> Effect <strong>of</strong> Departments on <strong>The</strong> Learn<strong>in</strong>gStyles’, and ‘<strong>The</strong> Mutual Effect Of the Gender and Departments On Learn<strong>in</strong>g Styles’.<strong>The</strong> Distribution Of <strong>The</strong> Learn<strong>in</strong>g Styles <strong>of</strong> StudentsTable 1. shows the distribution <strong>of</strong> the learn<strong>in</strong>g styles <strong>of</strong> students.Table 1. Percentages for the learn<strong>in</strong>g styles <strong>of</strong> studentsVisual Auditory K<strong>in</strong>estheticVisual-K<strong>in</strong>estheticTotalf 55 25 39 1 120% 41.7 18.9 29.5 0.8 100Accord<strong>in</strong>g to Table 1, the most common learn<strong>in</strong>g styles is visual. About half <strong>of</strong> the students (41.7 %) havevisual learn<strong>in</strong>g style. <strong>The</strong> follow<strong>in</strong>g learn<strong>in</strong>g style is K<strong>in</strong>esthetic (29.5% ). <strong>The</strong> 18.9 % <strong>of</strong> the students use auditorylearn<strong>in</strong>g mode.<strong>The</strong> Effect <strong>of</strong> Gender on Learn<strong>in</strong>g StylesTable 2 presents the results <strong>of</strong> t test analysis.Visual Learn<strong>in</strong>g StyleAuditory Learn<strong>in</strong>g StyleK<strong>in</strong>esthetic Learn<strong>in</strong>g Style*.05Table 2. <strong>The</strong> comparision <strong>of</strong> gender differences on learn<strong>in</strong>g strategiesf Sd. t p*Women 62 2.34 0.27Men 58 2.22 0.282.55 .01Women 62 2.22 0.26Men 58 2.18 0.24.99 .32Women 62 2.22 0.25Men 58 2.20 0.24.33 .74<strong>The</strong> average <strong>of</strong> women are higher than men <strong>in</strong> terms <strong>of</strong> visual, auditory and k<strong>in</strong>esthetic learn<strong>in</strong>g styles.However, the most important difference on average is on visual learn<strong>in</strong>g. To put it another way, a crucial differenceon visual learn<strong>in</strong>g which is beneficial for women was found. (t (118) =2.55, p>0.05).55www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1<strong>The</strong> Effect <strong>of</strong> Departments on <strong>The</strong> Learn<strong>in</strong>g StrategiesTable 3 illustrates the results <strong>of</strong> one-way varyans analysis (one-way ANOVA) tecnique.Tablo 3. <strong>The</strong> Comparison <strong>of</strong> Students accord<strong>in</strong>g to their departmentsVariants Group Type f Sd.Nutrition and Dietetics 20 2.32 .22Pharmacy 17 2.30 .24Visual Learn<strong>in</strong>g StyleNurs<strong>in</strong>g 33 2.30 .30Eng<strong>in</strong>eer<strong>in</strong>g 21 2.23 .28Bus<strong>in</strong>ess Adm<strong>in</strong>istration 29 2.25 .33Nutrition and Dietetics 20 2.24 .21Auditory Learn<strong>in</strong>g StylePharmacy 17 2.19 .26Nurs<strong>in</strong>g 33 2.20 .28Eng<strong>in</strong>eer<strong>in</strong>g 21 2.24 .27Bus<strong>in</strong>ess Adm<strong>in</strong>istration 29 2.15 .21Nutrition 20 2.13 .24Pharmacy 17 2.25 .19K<strong>in</strong>esthetic Learn<strong>in</strong>g StyleNurs<strong>in</strong>g 33 2.25 .24Eng<strong>in</strong>eer<strong>in</strong>g 21 2.22 .23Bus<strong>in</strong>ess Adm<strong>in</strong>istration 29 2.18 .29One-Way ANOVAVisual Learn<strong>in</strong>g Style SS*=.130; MS*=.003; F* 4-115 =.400; p*=.81Auditory Learn<strong>in</strong>g Style SS*=.140; MS*=.580; F* 4-115 =.580; p*=.68K<strong>in</strong>esthetic Learn<strong>in</strong>g Style SS*=.240; MS*=1.00; F* 4-115 =1.00; p*=.41* SS: Sum <strong>of</strong> Squares; MS: Mean Square; F values; p: significanceWhen Table 3 was observed, it was seen that the departments <strong>of</strong> the students do not have considerableeffect on the learn<strong>in</strong>g strategies. Accord<strong>in</strong>g to this study, the students <strong>of</strong> Nutrition and Dietetics, Pharmacy, Nurs<strong>in</strong>gand Bus<strong>in</strong>ess Adm<strong>in</strong>istration have visual learn<strong>in</strong>g style, whereas the ones who would study at Eng<strong>in</strong>eer<strong>in</strong>g haveauditory learn<strong>in</strong>g style.<strong>The</strong> Mutual effec Of the Gender and Departments On Learn<strong>in</strong>g StylesTable 4. shows two way varyans analysis (two way-ANOVA) whether the departments and gender <strong>of</strong> studentshave an <strong>in</strong>fluence on the learn<strong>in</strong>g styles <strong>of</strong> students.VisualLearn<strong>in</strong>gStyleTable 4: <strong>The</strong> mutual effect <strong>of</strong> the gender and departments on Learn<strong>in</strong>g StylesWomenMenVariants Department f Sd. f Sd.Nutirition and Dietetics 16 2.31 .24 4 2.39 .14Pharmacy 10 2.37 .24 7 2.20 .21Nurs<strong>in</strong>g 26 2.35 .27 7 2.12 .35Eng<strong>in</strong>eer<strong>in</strong>g 2 2.15 .36 19 2.24 .28Bus<strong>in</strong>ess Adm<strong>in</strong>istration 8 2.40 .41 21 2.20 .29AuditoryLearn<strong>in</strong>gStyleK<strong>in</strong>estheticLearn<strong>in</strong>gStyleNutirition and Dietetics 16 2.25 .22 4 2.21 .16Pharmacy 10 2.17 .26 7 2.21 .30Nurs<strong>in</strong>g 26 2.22 .30 7 2.14 .21Eng<strong>in</strong>eer<strong>in</strong>g 2 2.33 .17 19 2.23 .28Bus<strong>in</strong>ess Adm<strong>in</strong>istration 8 2.21 .24 21 2.13 .21Nutrition and Dietetics 16 2.09 .24 4 2.29 .13Pharmacy 10 2.27 23 7 2.21 .14Nurs<strong>in</strong>g 26 2.28 .22 7 2.16 .29Eng<strong>in</strong>eer<strong>in</strong>g 2 2.47 .07 19 2.19 .23Bus<strong>in</strong>ess Adm<strong>in</strong>istration 8 2.11 .32 21 2.20 .24Two -Way ANOVAVisual Learn<strong>in</strong>g Style SS*=.330; MS*=.082; F* 9-110 =1.054; p*=.38Auditory Learn<strong>in</strong>g StyleSS*=.047; MS*=.012; F* 9-110 =.183; p*=.95K<strong>in</strong>esthetic Learn<strong>in</strong>g Style SS*=.414; MS*=.104; F* 9-110 =1.724; p*=.15* SS: Sum <strong>of</strong> Squares; MS: Mean Square; F values; p: significance56www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Hav<strong>in</strong>g observed Table 4, it was seen that the common effect <strong>of</strong> the gender and the departments <strong>of</strong> thestudents is not significant. <strong>The</strong> highest average value is from the women students <strong>of</strong> Eng<strong>in</strong>eer<strong>in</strong>g faculty and it is <strong>in</strong>K<strong>in</strong>esthetic Learn<strong>in</strong>g Style ( =2.47). <strong>The</strong> lowest average is the women students from Nutrition and Dietetics <strong>in</strong>K<strong>in</strong>esthetic Learn<strong>in</strong>g Style ( =2.09)CONCLUSIONS AND DISCUSSIONIn this study, it was aimed to determ<strong>in</strong>e the learn<strong>in</strong>g styles <strong>of</strong> the students who study at the PreparatorySchool. In addition, it was also aimed to see the effect <strong>of</strong> their genders and their departments on their learn<strong>in</strong>g styles,these two elements (their genders and departments) were assessed both mutually and separately. <strong>The</strong> mostprevalent learn<strong>in</strong>g style adopted by the students who participated <strong>in</strong> this study is visual learn<strong>in</strong>g. MacCarter (2008)mentioned <strong>in</strong> his research that the most dom<strong>in</strong>ant learn<strong>in</strong>g style is visual learn<strong>in</strong>g. Visual learners form mentalimages with the th<strong>in</strong>gs they learn and keep them <strong>in</strong> their m<strong>in</strong>d (Dunn and Dunn, 2003, as cited <strong>in</strong> Pender andTekavčič, 2009; Pender, Tekavčič and Dimovski, 2008). Among the learn<strong>in</strong>g styles ,such as visual, auditory andk<strong>in</strong>esthetic , one or two <strong>of</strong> them are normally dom<strong>in</strong>ant (Pender and Tekavčič, 2009). Some students have apreferance among these learn<strong>in</strong>g styles because the learn<strong>in</strong>g style is a consistent path <strong>in</strong> which students respond tothe stimuluses and use it*.When the crucial importance <strong>of</strong> the gender on the learn<strong>in</strong>g modes was observed, it was seen that genderhad no effect on the students who learned by auditory learn<strong>in</strong>g and by performance. However, the <strong>in</strong>fluence <strong>of</strong>gender is significant on visual learners. It was seen that this effect was beneficial for girls. This result is similar toanother study <strong>in</strong> which some other learn<strong>in</strong>g styles were observed (Can, 2011; Deniz, 2011). On the other hand, itbr<strong>in</strong>gs out a contrast when it is compared with another study concern<strong>in</strong>g the learn<strong>in</strong>g styles <strong>of</strong> students (Oktar-Ergün,2010).When the relation between the student’s departments and the learn<strong>in</strong>g strategies were observed, it was seenthat the difference <strong>in</strong> terms <strong>of</strong> departments does not have an important effect on learn<strong>in</strong>g strategies. Some studiesalso support this result (Özen and Eren 2009); while others do not (Kahyaoğlu, 2011).As it was also stated <strong>in</strong> Samancı and Kesk<strong>in</strong>’s study <strong>in</strong> 2007, the common effect <strong>of</strong> the gender and thedepartment does not have a noteworthy <strong>in</strong>fluence on the learn<strong>in</strong>g styles <strong>of</strong> the students. As a result <strong>of</strong> these f<strong>in</strong>d<strong>in</strong>gs,it can be noted that the departments <strong>of</strong> the students do not have an effect upon the learn<strong>in</strong>g styles <strong>of</strong> the students.REFERENCESAlharbi, A., Paul, D. Heskens, F. and Hannaford, M. (2011). “ An Investigation <strong>in</strong>to the Learn<strong>in</strong>gStyles and Self Regulated Strategies for Computer Science Students. Hobart Tasmania Australia, 4-7December.Ballone, L. M. and Czerniak, C. M. (2001). “Teacher’s Beliefs About Accommodat<strong>in</strong>g Students’sStyles In Science Classess. Electronic <strong>Journal</strong> <strong>of</strong> Science Education, Vol. 6, No. 2, December/Brown. T., Zogni. M., Williams, B., Sim, J. vd. (2009). „Are learn<strong>in</strong>g preferences <strong>of</strong> health sciencestudents predictive <strong>of</strong> their attitudes towards e-learn<strong>in</strong>g?”. Australasian <strong>Journal</strong> <strong>of</strong> EducationalTechonogy, 25(4), 524-543.Beck, H. (2005). „Lernstile und Lerntypen“. Lernen lehren.http://synpaed.de/3_Lernen/<strong>PDF</strong>/3_Lernstile.pdf.Can, Ş. (2011). „Sınıf Öğretmeni Adaylarının Öğrenme Stilleri ile Bazı Değişkenler Arasındaki İlişk<strong>in</strong><strong>in</strong>Araştırılması“. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 41:70-82.C<strong>of</strong>field, F., Moseley, D. Hall, E. ve Ecclestone, K. (2004). Learn<strong>in</strong>g styles and pedagogy <strong>in</strong> post-16learn<strong>in</strong>g. Learn<strong>in</strong>g and Skills Devolopment Agency.Dağhan, G. and Akkoyunlu, B. (2011). Maggie Mcvay Lynch Öğrenme Stili Envanter<strong>in</strong><strong>in</strong> Türkçe’yeUyarlanma Çalışması. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 40: 117-126.Deniz, J. (2011). Müzik Öğretmeni Adaylarının Öğrenme Stilleri. 2nd International Conference on<strong>New</strong> Trends <strong>in</strong> Education and <strong>The</strong>ir Implications, Antalya, www.iconte.org.57www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Kahyaoğlu, M. (2011). Öğretmen Adaylarının Öğrenme Stilleri İle Çevre Eğitimi Öz‐YeterlikleriArasındaki İlişki. Eğitim Bilimleri Araştırmaları Dergisi – <strong>Journal</strong> <strong>of</strong> Educational Sciences Research, Cilt 1,Sayı 2.MacCarter, K. M. (2008). <strong>The</strong> Effect <strong>of</strong> auditory stimulation on learners with different learn<strong>in</strong>gstyles. Capella University, Doctor <strong>of</strong> Philosophy.Mills, J., Ayre, M., Hands, D., and Carden, P. (2010). Learn<strong>in</strong>g About Learn<strong>in</strong>g Styles: Can It İmproveEng<strong>in</strong>eer<strong>in</strong>g Education? Mounta<strong>in</strong> R.Oktar-Ergür, D. (2010). “Hazırlık Sınıfı Öğrenciler<strong>in</strong><strong>in</strong> Kişisel Özellikler<strong>in</strong><strong>in</strong> Öğrenme Stiller<strong>in</strong>e Etkisive Öğrenme Süreçler<strong>in</strong>e Yansıması”. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 39: 173-184.Penger, S. and Tekavčič, M. (2009). Testıng Dunn & Dunn’s And Honey & Mumford’s Learnıng Style<strong>The</strong>orıes: <strong>The</strong> Case Of <strong>The</strong> Slovenıan Hıgher Educatıon System. Management, Vol. 14, 2009, 2, pp. 1-20.Penger, S., Tekavčič, M. and Dimovski, V. (2008). Comparison, Validation And Implications OfLearn<strong>in</strong>g Style <strong>The</strong>ories In Higher Education In Slovenia: An Experiential And <strong>The</strong>oretical Case.International Bus<strong>in</strong>ess & Economics Research <strong>Journal</strong>, Volume 7, Number 12.Samancı, N. K. and Kesk<strong>in</strong>, M. Ö. (2007). “Felder ve Solomon Öğrenme Stili İndeksi: TürkçeyeUyarlanması ve Geçerlik-Güvenirlik Çalışması”. Ahi Evren Kırşehir Eğitim Fakültesi Dergisi, (KEDAF), Cilt8, Sayı 2, 34-54.Yılmaz-Soylu and Akkoyunlu, B. (2002). <strong>The</strong> Effect Learn<strong>in</strong>g Styles On Achievement In DifferentLearn<strong>in</strong>g Environments”. <strong>The</strong> Turkish <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> Educational Technology.* http://www.itslifejimbutnotasweknowit.org.uk/<strong>file</strong>s/Learn<strong>in</strong>gStyles.pdf. : Duckett and Tatarkowski,“Learn<strong>in</strong>g styles and their application for effective learn<strong>in</strong>g”.58www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1<strong>The</strong> Relationship between ElementaryTeacher Candidates’ Attitudes towardsProblem Based Learn<strong>in</strong>g andProblem Solv<strong>in</strong>g SkillsMustafa Kahyaoğlu [1][1] Faculty <strong>of</strong> Education, SiirtUniversity, Siirt, 56100, TURKEY.mustafa.kahyaoglu56@gmail.comABSTRACT<strong>The</strong> purpose <strong>of</strong> this research is to determ<strong>in</strong>e the relation betweenelementary teacher candidates’ problem solv<strong>in</strong>g skills and attitudestowards problem based learn<strong>in</strong>g. Furthermore this research <strong>in</strong>tend todeterm<strong>in</strong>e if there is a significant difference <strong>in</strong> elementary teachercandidates’ problem solv<strong>in</strong>g skills and the attitudes towards problembased learn<strong>in</strong>g accord<strong>in</strong>g to the variables <strong>of</strong> gender and their educationprogram, or not. <strong>The</strong> research was carried out with a total <strong>of</strong> 199 thirdand fourth grade teacher candidates (100 female, 99 male) fromElementary Department <strong>of</strong> Faculty <strong>of</strong> Education at Siirt University <strong>in</strong>Turkey. It was used the “Problem Solv<strong>in</strong>g Inventory” which wasdeveloped by Heppner and Peterson (1982) and translated <strong>in</strong>to Turkishby Şah<strong>in</strong>, Şah<strong>in</strong> and Heppner (1993) to determ<strong>in</strong>e the problem-solv<strong>in</strong>gskills <strong>of</strong> the teacher candidates’ and the “Problem-Based Learn<strong>in</strong>gAttitude Scale” which was developed by Turan and Demirel (2010) wasused to determ<strong>in</strong>e their attitudes towards problem-based learn<strong>in</strong>g. Inour research, it was calculated that the Cronbach alpha reliabilitycoefficient <strong>of</strong> problem solv<strong>in</strong>g skills as .78 and the scale <strong>of</strong> attitudestowards problem based learn<strong>in</strong>g as .93. As a result <strong>of</strong> this research, theproblem solv<strong>in</strong>g skills (M=87.91) and the attitudes towards problembased learn<strong>in</strong>g mean score (M=68.15) <strong>of</strong> elementary teacher candidates’were found as medium level. It was found that there is no significantand negative relation between the elementary teacher candidates’problem solv<strong>in</strong>g skills and attitudes towards problem based learn<strong>in</strong>g (r= -.54; p>0.05).Keywords:Attitudes, problem, problem-solv<strong>in</strong>g skills, problem basedlearn<strong>in</strong>g;INTRODUCTIONIn our day <strong>in</strong>dividuals are spend<strong>in</strong>g their energy and most <strong>of</strong> their time on problem solv<strong>in</strong>g and decision mak<strong>in</strong>gprogresses because <strong>of</strong> even more complicat<strong>in</strong>g social structure, technological developments, political, social andeconomical problems. D’Zurilla (1971) determ<strong>in</strong>es the term problem as a situation, where the <strong>in</strong>dividual experiencesdifficulties on answer<strong>in</strong>g <strong>in</strong>ternal and external missions. Accord<strong>in</strong>g to K<strong>in</strong>g (1981) the term problem is a situation thatleads to doubt uncerta<strong>in</strong>ty. Morgan (1999) claims that the problem is a conflict<strong>in</strong>g situation, where the <strong>in</strong>dividualencounters some obstacles on the way to his target. Semerci (2001) def<strong>in</strong>es the problem as a situation, which the<strong>in</strong>dividual is unable to solve with his present reactions. Accord<strong>in</strong>g to Karasar (2004) every situation, that disturbs the<strong>in</strong>dividual physically and mentally and where <strong>in</strong>decision and more than one solution exists. Accord<strong>in</strong>gly, a solutionrequires the use <strong>of</strong> the most complicated mental skills. In other words. Problem solution is an activity made forreveal<strong>in</strong>g the “unknown” <strong>in</strong> a systematic and analytic way, where the start po<strong>in</strong>t is the “known”. Heppner (1982) usesproblem solv<strong>in</strong>g as a synonym <strong>of</strong> deal<strong>in</strong>g with problems. Aksu (1998) describes problem solution as a progress <strong>of</strong>w<strong>in</strong>n<strong>in</strong>g the difficulties encountered <strong>in</strong> the way <strong>of</strong> a purpose. Problem solution is a quite complicated progress, that59www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1covers the cognitive skills, but also affective and behavioral features. Saygılı (2000) approaches the affective factors onproblem solv<strong>in</strong>g as; <strong>in</strong>dividual factors (<strong>in</strong>telligence, motivation, foreknowledge-<strong>in</strong>stallation, function hesitation) andsociological factors (socio-economic, level and sociological development <strong>of</strong> child, child rais<strong>in</strong>g applications andmanners <strong>of</strong> families, physical conditions <strong>of</strong> school and class size). Problem solv<strong>in</strong>g is closely related to psychologicalharmony(Bepner & Anderson 1985), confidence (Erden & Akman, 1995), communication skills and decision mak<strong>in</strong>gstyles (Hunsakler and Alessandra 1980), academical and social self-respect (McCobe, Balnkste<strong>in</strong> & Mills, 1999) <strong>of</strong> the<strong>in</strong>dividual. <strong>The</strong> lack <strong>in</strong> problem solv<strong>in</strong>g skills may cause <strong>in</strong> young people to results like aggression (Dodge & Feldman1990), behavior disorders (J<strong>of</strong>fe et. al. 1990) drug use (Platt, Scura & Hannon, 1973; Korkut, 2002). Problem solv<strong>in</strong>gdepends on the type and complication <strong>of</strong> problem. While some problems can be solved logically, some requiresemotional maturity. In order for a situation to be considered as a problem, the <strong>in</strong>dividual must ponder upon it andperceive it as a problem (Morgan, 1995). Accord<strong>in</strong>g to Gagne, the purpose <strong>of</strong> tra<strong>in</strong><strong>in</strong>g programs should be to teach tostudents own to solve the possible problems both on their branch and on real life (Yapıcı & Yapıcı, 2006; Karataş &Güven, 2003; Çalışkan, Selçuk & Erol, 2006; Polat & Tümkaya, 2010). <strong>The</strong> education mentality <strong>of</strong> today expects fromstudents to extract dist<strong>in</strong>ctive mean<strong>in</strong>gs from their experiences and to structure what they learned with dist<strong>in</strong>ctivestrategies by proceed<strong>in</strong>g them (Açıkgöz, 2007). Problem Based Education is an approach, that aims to have studentsga<strong>in</strong> the skills <strong>of</strong> learn<strong>in</strong>g with self-governance, <strong>in</strong>dependent study<strong>in</strong>g, question<strong>in</strong>g and problem solv<strong>in</strong>g, is anapproach that provides the students to self-research and learn whenever they encounter similar situations dur<strong>in</strong>gtheir lifetime. This approach is based upon from real situations form<strong>in</strong>g problem situations and scenarios. Learners,under the guidance and management <strong>of</strong> the teacher, learn to discover, analyze, solve the problem and to gather therequired data to learn both <strong>in</strong>dividually and <strong>in</strong> groups. Problem Based Education plays an effective role <strong>in</strong> reveal<strong>in</strong>gthe before learned dates <strong>of</strong> student, provid<strong>in</strong>g the learn<strong>in</strong>g to happen and obta<strong>in</strong><strong>in</strong>g the permanent data by organiz<strong>in</strong>gand giv<strong>in</strong>g mean<strong>in</strong>g to the data. Teacher are the ma<strong>in</strong> source t help the students to improve their problem solv<strong>in</strong>gskills. This situation provides the students with opportunities <strong>of</strong> problem solv<strong>in</strong>g, and helps them to raise as goodproblem solvers <strong>in</strong> future. In this situation teachers’ understand<strong>in</strong>g, belief and approaches problem solv<strong>in</strong>g isimportant. <strong>The</strong>refore it is believed that reveal<strong>in</strong>g teacher candidates’ skills <strong>of</strong> problem solv<strong>in</strong>g and approachesproblem solv<strong>in</strong>g is important.Purpose <strong>of</strong> these studies is to determ<strong>in</strong>e teacher candidates’ problem solv<strong>in</strong>g skills and problem based learn<strong>in</strong>goriented approaches. In pursuance <strong>of</strong> this purpose answers for follow<strong>in</strong>g questions were sought:1. What k<strong>in</strong>d <strong>of</strong> relation is there between teacher candidates’ problem solv<strong>in</strong>g skills and problem basedlearn<strong>in</strong>g oriented approaches?2. Is there any difference between teacher candidates’ problem solv<strong>in</strong>g skills and problem based learn<strong>in</strong>goriented approaches, based upon gender and the program they study <strong>in</strong>?METHODParticipants<strong>The</strong> study was conducted <strong>in</strong> the spr<strong>in</strong>g <strong>of</strong> 2009-2010 academic year at Siirt University <strong>in</strong> Turkey. Participantswere 199 candidates <strong>of</strong> teachers who were attend<strong>in</strong>g at primary class and sciences education departments <strong>in</strong> faculty<strong>of</strong> education.Data CollectionA descriptive survey research design was used <strong>in</strong> this study. As a mean <strong>of</strong> data collection; person <strong>in</strong>formationforms developed by the researcher and problem solv<strong>in</strong>g <strong>in</strong>ventory which is developed by Heppner & Petersen (1982)and adapted to Turkish by Sah<strong>in</strong>, Sah<strong>in</strong> & Heppner (1993) and the attitude scale towards problem based learn<strong>in</strong>gwhich is developed by Turan & Demirel (2010) are used. Problem solv<strong>in</strong>g <strong>in</strong>ventory aims to measure the reactionsaga<strong>in</strong>st the problems, <strong>in</strong>dividuals face <strong>in</strong> lifetime how they perceive their own problem solv<strong>in</strong>g skills. From 35 items,atta<strong>in</strong>ed by positive and negative formulas <strong>in</strong> the scale 32 <strong>of</strong> them are taken <strong>in</strong>to evaluation. Items have answerssuitable for six po<strong>in</strong>t gradation. Confidence <strong>in</strong> problem solv<strong>in</strong>g skill, self control and approach avoidance subscale takeplace. High po<strong>in</strong>ts <strong>in</strong>dicate how low isperception <strong>of</strong> problem solv<strong>in</strong>g skill (Şah<strong>in</strong>, Şah<strong>in</strong> & Heppner, 1993). <strong>The</strong> resultsobta<strong>in</strong>ed from the studies <strong>of</strong> adaptation, validity and reliability show that the scale can be used for research <strong>in</strong> spite <strong>of</strong>some restrictions (Taylan, 1990, Savaşır & Şah<strong>in</strong> 1997). Content <strong>of</strong> the <strong>in</strong>ventory is consist<strong>in</strong>g <strong>of</strong> 35 items as a six p<strong>in</strong>tsLikert scale. Some <strong>of</strong> the items are positive while some are negative. Scale shows the scores relat<strong>in</strong>g to the total scores<strong>of</strong> problem solv<strong>in</strong>g skill perception and subscales. Given answers are scored from 1 to 6. Dur<strong>in</strong>g the scor<strong>in</strong>g 9 th , 22 nd ,60www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 129 th items are excluded; therefore scor<strong>in</strong>g is made out <strong>of</strong> 32 items. Items numbers 1, 2, 3, 4, 11, 13, 14, 15, 17, 21, 25,26, 30 and 34 are scored adversely. <strong>The</strong> range <strong>of</strong> the <strong>in</strong>ventory scores is between 32 and 192. Highest scores obta<strong>in</strong>edfrom the scale <strong>in</strong>dicated that <strong>in</strong>dividuals percept themselves <strong>in</strong>adequate <strong>in</strong> problem solv<strong>in</strong>g. Oppositely if the scoresare low then it is the sign <strong>of</strong> positive perception <strong>of</strong> problem solv<strong>in</strong>g skill. <strong>The</strong> Cronbach alpha coefficient <strong>of</strong> reliability <strong>of</strong>the orig<strong>in</strong>al scale was calculates as .88. In this study made by us the Cronbach alpha coefficient <strong>of</strong> reliability <strong>of</strong> thescale was calculates as .78. <strong>The</strong> attitude scale towards problem based learn<strong>in</strong>g was developed by Turan & Özdemir(2010) and consists <strong>of</strong> 20 items <strong>in</strong> 5 po<strong>in</strong>ts likert type. Cronbach alpha coefficient <strong>of</strong> the scale was <strong>in</strong>dicated as .95. <strong>in</strong>our study, the Cronbach alpha coefficient <strong>of</strong> reliability <strong>of</strong> problem based learn<strong>in</strong>g attitude scale was found as .93.Data AnalysisSPSS 16.00 statistic program is used for the analysis dur<strong>in</strong>g the analysis arithmetic means and standarddeviations <strong>of</strong> the problem solv<strong>in</strong>g skills and attitudes towards problem based learn<strong>in</strong>g level scores are calculated. t-test are applied <strong>in</strong> order to f<strong>in</strong>d whether the differences between the arithmetic means are relevant or not andPearson Moment Correlation Coefficient was used. <strong>The</strong> significance levels for the statistical analyses is accepted asp< .05.RESULTSF<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> the study that aims to determ<strong>in</strong>e <strong>of</strong> relationship between the problem solv<strong>in</strong>g skills and the attitudetowards problem based learn<strong>in</strong>g are given below.Table 1. Pearson Moment Correlation Coefficient results about the problem solv<strong>in</strong>g skills and the attitudetowards problem based learn<strong>in</strong>g <strong>of</strong> elementary teacher candidates.<strong>The</strong> attitudes towards problem based learn<strong>in</strong>gProblem solv<strong>in</strong>g skillsr -.054p .448*N 199As seen <strong>in</strong> Table-1, it is determ<strong>in</strong>ed that there is a no mean<strong>in</strong>gful relation <strong>in</strong> negative direction between theproblem solv<strong>in</strong>g skills and the attitudes towards problem based learn<strong>in</strong>g <strong>of</strong> the teacher candidates (r= -.054; p> .05),Table 2. Arithmetic mean and standard deviation <strong>of</strong> teacher candidates’ problem solv<strong>in</strong>g skills and theattitudes towards problem based learn<strong>in</strong>gN M<strong>in</strong>imum Maksimum SSProblem solv<strong>in</strong>g skills 199 55.00 128.00 87.91 15.65<strong>The</strong> attitudes towards problem basedlearn<strong>in</strong>g199 20.00 100.00 68.15 20.64As seen <strong>in</strong> Table-1, the mean <strong>of</strong> the teacher candidates’ problem solv<strong>in</strong>g skills 87.91; mean <strong>of</strong> the attitudes towardsproblem based learn<strong>in</strong>g 68.15. Accord<strong>in</strong>gly, it is seen that the mean <strong>of</strong> the teacher candidates’ problem solv<strong>in</strong>g skillsand the attitudes towards problem based learn<strong>in</strong>g are the medium level.Table3. t-test results <strong>of</strong> teacher candidates’ problem solv<strong>in</strong>g skills and the attitude towards problembased learn<strong>in</strong>g accord<strong>in</strong>g to genderProblem solv<strong>in</strong>gskills<strong>The</strong> attitudestowards problembased learn<strong>in</strong>g* p> .05Gender N SS t pFemale 100 85.99 15.11Male 99 89.85 16.02-1.75 .081*Female 100 69.73 20.65Male 99 66.56 20.621.08 .281*As seen <strong>in</strong> Table-3, the mean <strong>of</strong> male teacher candidates’ problem solv<strong>in</strong>g skills (89.85) was higher than femaleteacher candidates (85.99). This means female teacher candidates’ problem solv<strong>in</strong>g skills are higher than male ones.<strong>The</strong> mean <strong>of</strong> female teacher candidates’ attitudes towards problem based learn<strong>in</strong>g (69.73) was higher than maleteacher candidates (66.56). This means <strong>of</strong> female teacher candidates’ attitudes towards problem based learn<strong>in</strong>g waspositive than male teacher candidates. It was determ<strong>in</strong>ed that problem solv<strong>in</strong>g skills and attitudes towards problembased learn<strong>in</strong>g <strong>of</strong> the teacher candidates show no mean<strong>in</strong>gful difference <strong>in</strong> the dimension <strong>of</strong> gender (p> .05).61www.tojned.net


<strong>The</strong> <strong>Onl<strong>in</strong>e</strong> <strong>Journal</strong> <strong>of</strong> <strong>New</strong> <strong>Horizons</strong> <strong>in</strong> Education Volume 3, Issue 1Table 4. t-test results <strong>of</strong> teacher candidates’ problem solv<strong>in</strong>g skills and the attitude towards problembased learn<strong>in</strong>g accord<strong>in</strong>g to departmentProblem solv<strong>in</strong>gskills<strong>The</strong> attitudestowards problembased learn<strong>in</strong>g* p> .05Department N SS t pElementaryclass123 89.91 16.11Elementaryscience76 87.73 14.39.862 .390*Elementaryclass123 68.22 18.69Elementaryscience76 67.27 22.15.280 .780*As seen <strong>in</strong> Table-3, the mean <strong>of</strong> elementary class teacher candidates’ problem solv<strong>in</strong>g skills (89.91) was higherthan elementary science teacher candidates (87.73). This means elementary science teacher candidates’ problemsolv<strong>in</strong>g skills are higher than elementary class teacher candidates. <strong>The</strong> mean <strong>of</strong> elementary class teacher candidates’attitudes towards problem based learn<strong>in</strong>g (68.22) was higher than elementary science teacher candidates (67.27). Thismeans <strong>of</strong> elementary class teacher candidates’ attitudes towards problem based learn<strong>in</strong>g was positive than theelementary science teacher candidates. It was determ<strong>in</strong>ed that problem solv<strong>in</strong>g skills and the attitudes towardsproblem based learn<strong>in</strong>g <strong>of</strong> the elementary teacher candidates show no mean<strong>in</strong>gful difference <strong>in</strong> the dimension <strong>of</strong>department (p> .05).CONCLUSION AND DISCUSSIONIn the study, no statistically mean<strong>in</strong>gful relation <strong>in</strong> negative direction between teacher candidates’ problemsolv<strong>in</strong>g skills and problem based learn<strong>in</strong>g oriented approaches was found. In a similar study made by Ser<strong>in</strong> (2004) it is<strong>in</strong>dicated that there is a mean<strong>in</strong>gful relation <strong>in</strong> negative direction between the problem solv<strong>in</strong>g skills and theapproaches for the sciences <strong>of</strong> the students <strong>of</strong> Faculty <strong>of</strong> Education, while there is a statistically mean<strong>in</strong>gless relation<strong>in</strong> negative direction between problem solv<strong>in</strong>g skills and sciences successes <strong>of</strong> the students. Kocabaş et. al. (2006)stated <strong>in</strong> a study, that there is a highly mean<strong>in</strong>gful relation between the problem solv<strong>in</strong>g skills and the approaches forthe program <strong>of</strong> Class Teach<strong>in</strong>g Master Students, while there was no mean<strong>in</strong>gful relation found for Doctorate Students.In our study, teachers’ s and teacher candidates’ skills <strong>of</strong> problem solv<strong>in</strong>g and their approaches to problem basededucation was determ<strong>in</strong>ed as mid-level. Saracaloğlu, Yenice & Karasakaloğlu (2010) have <strong>in</strong>dicated that class teachercandidates’ skill level <strong>of</strong> problem solv<strong>in</strong>g is sufficient. İnel, Evrekli & Türkmen (2011) have stated that class teachercandidates’ skill level <strong>of</strong> problem solv<strong>in</strong>g is high. Aslan (2007)stated that Turkish lesson teacher candidates’ skill level<strong>of</strong> problem solv<strong>in</strong>g is sufficient. It was determ<strong>in</strong>ed that teacher candidates’ problem solv<strong>in</strong>g skills and problem basedlearn<strong>in</strong>g oriented approaches do not differ <strong>in</strong> regard to gender variables, that female teacher candidates’ problemsolv<strong>in</strong>g skills and problem based learn<strong>in</strong>g oriented approaches are higher than male ones. In similar studies, besidesthe studies that show there is no mean<strong>in</strong>gful difference for teacher candidates’ skills <strong>of</strong> problem solv<strong>in</strong>g <strong>in</strong> regards tothe gender (Çam, 1995; Kasap, 1997; Erdem, 2001; Güven & Akyüz, 2001; Ser<strong>in</strong>, 2001; Özkütük et.al., 2003), there isalso some studies that contradict (Korkut, 2002). Study <strong>of</strong> different subjects might have caused to current situation.<strong>The</strong>re is no statistical mean<strong>in</strong>gful difference confirmed between teacher candidates’ study program, problem solv<strong>in</strong>gskills and problem based learn<strong>in</strong>g oriented approaches. As conclusion, problem solv<strong>in</strong>g skills and approaches forproblem based education <strong>of</strong> teacher candidates must be determ<strong>in</strong>ed and time must be taken for improv<strong>in</strong>g theproblem solv<strong>in</strong>g skills and problem based education oriented approaches <strong>of</strong> low level teacher candidates. If needed,tra<strong>in</strong><strong>in</strong>g programs should be prepared <strong>in</strong> a fitt<strong>in</strong>g way with the purpose <strong>of</strong> improvement <strong>of</strong> problem solv<strong>in</strong>g skills andproblem based education activities.REFERENCESAçıkgöz, K.Ü. (2007). 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