classroom. She has successfully incorporated technology into her lessons. She has focusedon student thinking and arranges her instruction based on the needs <strong>of</strong> her students. Herlessons are becoming more student centered, encouraging her students to solve novelproblems and share their solutions. Through this project, she has become a more reflectiveteacher, striving to improve her teaching through action research and collaboration withcolleagues.ReferencesBall, D. L., Thames, M. H., Phelps, G. (2008). Content knowledge for teaching: What makes itspecial? Journal <strong>of</strong> Teacher Education, 59, 5, 389-407.Bandura, A. (1977). Self-efficacy: Toward a unifying theory <strong>of</strong> behavioral change.Psychological Review, 84, 191-215Buczyniski, S., & Hansen, C. B. (2010). Impact <strong>of</strong> pr<strong>of</strong>essional development on teacherpractice: Uncovering connections. Teacher and Teaching Education, 26, 599-60Cantrell, Cambers, S., & Hughes H. K. ( 2008). Teacher efficacy and content literacyimplementation: An exploration <strong>of</strong> the effects <strong>of</strong> extended pr<strong>of</strong>essional development withcoaching. Journal <strong>of</strong> Literacy Research, 40, 95-127Curcio, F. R. (2002). A User’s Guide to Japanese Lesson Study: Ideas for ImprovingMathematics Teaching. National Council Of Teachers <strong>of</strong> Mathematics Inc., Reston, VA.Desimone, L. M., (2009). Improving impact studies <strong>of</strong> teachers’ pr<strong>of</strong>essional development:Toward better conceptualizations and measures. Educational Researcher, 38, 3, 181-199.Hill, H. C., Ball, D L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge:conceptualizing and measuring teachers’ topic-specific knowledge <strong>of</strong> students. Journal forResearch in Mathematics Education, 39, 4, 372-400.Hunzicker, J. (2012). Effective pr<strong>of</strong>essional development teachers: a checklist. Pr<strong>of</strong>essionalDevelopment in Education. Routledge, London W1T 3JH, UK.Llewellyn, D., & Van Zee E. (2010). Action research: Expanding the role <strong>of</strong> classroomteachers to inquirers and researchers. Science Scope. September 1, 2010.MacIsaac, D. L., Sawada, D., & Falconer, K. A. (2001). Using the reform teacher observationprotocol (RTOP) as a catalyst for self-reflective change in secondary science teaching. InDeveloping and utilizing an observation instrument to define, quantify, assess and refinereformed teaching practice in K–20 science and mathematics. Peer-reviewed poster andpaper. American Education Research Association Division K.National Council <strong>of</strong> Teachers <strong>of</strong> Mathematics. Principles and Standards for SchoolMathematics. Reston, VA: NCTM, 2000.Shulman, L. S., (1986). Those who understand: Knowledge growth in teaching. EducationalResearcher, 15, 2, 4-14.Tschannen-Moran, M., Woolfolk Hoy, A., & Hoy, W. K. (1998). Teacher efficacy: Its meaningand measure. Review <strong>of</strong> Educational Research, 68, 202-248.Woolfolk-Hoy, A. (2008). Changes in teacher efficacy during the early years <strong>of</strong> teaching. Paperpresented at annual meeting <strong>of</strong> the American Educations Research Association. NewOrleans, LA.<strong>Proceedings</strong> <strong>of</strong> the 40 th Annual Meeting <strong>of</strong> the Research Council on Mathematics Learning <strong>2013</strong> 115
THE PATH OF REFORM IN SECONDARY MATHEMATICS CLASSROOMS:SOME ISSUES AND SOME HOPEMichael MikusaKent State <strong>University</strong>mmikusa@kent.eduScott CourtneyKent State <strong>University</strong>scourtn5@kent.eduJoanne CanigliaKent State <strong>University</strong>jcanigl1@kent.eduIn this study an entire mathematics faculty (11 secondary mathematics teachers and 4intervention specialists) were engaged in pr<strong>of</strong>essional development over 2 years. Thepr<strong>of</strong>essional development activities were aimed at improving the learning <strong>of</strong> mathematics by allstudents at the school. The PD ranged from mathematics content for the teachers where theyengaged in solving rich problems to assessing video tapes <strong>of</strong> teachers teaching and studentslearning mathematics from a constructivist perspective. This paper focuses on some <strong>of</strong> the keyissues that kept these teachers from reforming their classroom consistent with what they werelearning during the pr<strong>of</strong>essional development.The TIMSS data indicates that our students are not keeping up with the rest <strong>of</strong> the world intheir performance in mathematics. A video study that was completed as part <strong>of</strong> the TIMSSproject indicates that teaching in secondary schools is also in need <strong>of</strong> pr<strong>of</strong>essionaldevelopment. In their study, Hiebert and Stigler (2004) describe the shortcomings <strong>of</strong> currentsecondary teaching in the video case studies from the 1999 TIMSS study. "Although teachers inthe United States presented problems <strong>of</strong> both types (practicing skills vs. ‘making connections’),they did something different than their international colleagues when working on the conceptualproblems with students. For these problems, they almost always stepped in and did the work forthe students or ignored the conceptual aspect <strong>of</strong> the problem when discussing it." One reason forthis type <strong>of</strong> behavior may be that secondary teachers need experience themselves in solving richproblems and building connections between and among the different topics within mathematicsbefore they can successfully help students be more engaged in this type <strong>of</strong> teaching and learning.The Mathematical Association <strong>of</strong> America (MAA), comprised <strong>of</strong> mathematicians andmathematics educators, explains in its landmark document, The Mathematical Education <strong>of</strong>Teachers (2001), that the mathematical knowledge needed for teaching is quite different fromthat required by persons in other mathematics-related pr<strong>of</strong>essions. Teachers need an especiallypr<strong>of</strong>ound understanding <strong>of</strong> the concepts <strong>of</strong> mathematics so that they can teach it as a coherent,sense-making, reasoned activity. For this to be accomplished, MAA recommends collaboration<strong>Proceedings</strong> <strong>of</strong> the 40 th Annual Meeting <strong>of</strong> the Research Council on Mathematics Learning <strong>2013</strong> 116
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….where the Mathematicscomes swee
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THANK YOU TO OUR REVIEWERSKeith Ado
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Table of ContentsPreservice Teacher
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Support for Students Learning Mathe
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own problem solving, which is criti
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to get started and persistence. Tea
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Posamentier, A. S., Smith, B. S., &
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conceptual understanding, applicati
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Table 1Identified Mathematical Prac
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justify their statements, included
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Finally, engagement in MP.6 was ass
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PRESERVICE TEACHERS’ EMOTIONAL EN
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“experiences that are charged wit
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Number of journals containingEmotio
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ConclusionsStruggle and frustration
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Mathematics Teacher Candidates’ U
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function and applied the vertical l
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semester, about half of the course
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They further state that “the impo
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C. Laborde (Eds.) International Han
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(SCK), or knowledge of mathematics
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level of difficulty for each partic
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MKT Measures ScoresMathematics in G
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deep rooted belief in a single way
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THE INTERVIEW PROJECTAngel Rowe Abn
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involving addition and subtraction:
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6+7 4+9=6+(6+1) Substitution =4+(10
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We strongly believe that this inter
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AN INNOVATIVE APPROACH FOR SUPPORTI
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Practice throughout the investigati
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are expected to pursue. Teacher not
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students to organize their reports
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Slovin, H., Venenciano, L., Ishihar
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The research presented in this pape
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students’ confidence. Because bel
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logged by the system and then retri
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curriculum. The nature of the onlin
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Cox, G., Carr, T., & Hall, M. (2004
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curriculum locally, within individu
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Popularity tallied whether or not a
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Amazingly, despite there being a fe
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ReferencesBlack, M. (1962). Models
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connections are connections or rela
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Table 1Instructional TasksSquareTab
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t-charts made it easier for student
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Figure 2. A Display of Student Stra
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ReferencesAnderson, J. R., Greeno,
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their parents in phenotype (observa
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student learning calls for differen
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Figure 2. (A) P3. (B). Extension of
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the usual phenotypic assessments an
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teachers is the discrepancy between
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expected to learn and the inquiry a
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his partner about his observations,
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hard for some children? The nature
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Lakoff and Nunez: specifically, tha
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Figure 5: Average hand trajectories
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Figure 6: Distributions of maximum
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ReferencesAnderson, J. R. (2005). H
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Social system perspectives view the
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urged students to think of some way
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Figure 1: The Discourse Patterns Du
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Figure 3 blow illustrates the devel