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Visual Representations in Secondary School Textbooks of Economics

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International Conference on Applied <strong>Economics</strong> – ICOAE 2008 321<br />

<strong>Visual</strong> <strong>Representations</strong> <strong>in</strong> <strong>Secondary</strong> <strong>School</strong> <strong>Textbooks</strong> <strong>of</strong> <strong>Economics</strong><br />

Demetra Fotakopoulou 1 & Vasiliki Spiliotopoulou 2<br />

Abstract<br />

Our research is concerned with the visual representations found <strong>in</strong> textbooks used for the teach<strong>in</strong>g <strong>of</strong> <strong>Economics</strong> <strong>in</strong> Greek secondary schools. Initially, we<br />

analyze and reflect upon the visual <strong>in</strong>terpretations <strong>of</strong> the textbook that is taught <strong>in</strong> the first year <strong>of</strong> upper <strong>Secondary</strong> education (Greek Lyceum). A scheme<br />

<strong>of</strong> categories <strong>of</strong> visual representations has been identified and reveals the characteristics <strong>of</strong> the textbooks’ representations as well as their limitations. We<br />

also explore students’ experiences with two visual representations <strong>of</strong> this textbook. Evidence, regard<strong>in</strong>g the features <strong>of</strong> these visual representations that<br />

attract students’ attention, which emerges from the answers that students provide, is discussed. Students seem to face serious difficulties <strong>in</strong> read<strong>in</strong>g the<br />

mean<strong>in</strong>g <strong>of</strong> the visual representations, even when the <strong>in</strong>formation is there. It seems that it is difficult for an image on its own to express a thousand words.<br />

This issue is related to both authors who write the textbooks and teachers who are teach<strong>in</strong>g their scientific content.<br />

Key Words: <strong>Visual</strong> representations <strong>of</strong> economics, <strong>Economics</strong> Education, <strong>School</strong> textbooks <strong>of</strong> <strong>Economics</strong><br />

JEL codes: A210<br />

1. Introduction<br />

The subject <strong>of</strong> economics has been a part <strong>of</strong> the Greek higher general secondary school curriculum for around 20 years. It aims to<br />

<strong>of</strong>fer a general awareness <strong>of</strong> the economic ideas and their mean<strong>in</strong>g for the personal and social life. The teach<strong>in</strong>g and learn<strong>in</strong>g <strong>of</strong><br />

economics, however, <strong>in</strong> Greece has not attracted attention and takes place <strong>in</strong> a rather personal and lonely way, as the field <strong>of</strong> economics<br />

education has not been developed yet. On the other hand societal needs require economically literate citizens and such a perspective<br />

raises issues concern<strong>in</strong>g the way economics is taught rather as a path to scientific certa<strong>in</strong>ty, than as reflect<strong>in</strong>g unsettled debate and<br />

vigorous controversy (Editorial Introduction <strong>of</strong> Australasian Journal <strong>of</strong> <strong>Economics</strong> Education).<br />

<strong>Secondary</strong> school teach<strong>in</strong>g and learn<strong>in</strong>g is dom<strong>in</strong>ated by textbook-oriented approaches (Tob<strong>in</strong>, 1990) and this is also the case <strong>in</strong><br />

Greece. The subject <strong>of</strong> economics is ma<strong>in</strong>ly taught <strong>in</strong> a traditional manner, just as any other subject, based ma<strong>in</strong>ly on textbooks.<br />

Curriculum materials play an important role <strong>in</strong> students’ learn<strong>in</strong>g. Pyne (2007) found that the <strong>in</strong>troductory microeconomics textbook <strong>of</strong><br />

an economic course had significant and sizeable effects on student performance. In a study by Asano (2006) it was found that first-year<br />

students showed confusion <strong>in</strong> apply<strong>in</strong>g marg<strong>in</strong>al analysis to a firm’s pr<strong>of</strong>it maximization problem, which stemmed from textbooks for the<br />

<strong>in</strong>troductory microeconomics course oversimplify<strong>in</strong>g the relevant subtle po<strong>in</strong>ts.<br />

Efforts have begun to develop an adequately valid and reliable procedure <strong>in</strong> order to judge whether or how well, curriculum materials<br />

match specific learn<strong>in</strong>g goals (AAAS – Project 2061, 2006). The content <strong>of</strong> the curriculum and subsequently textbooks’ content has<br />

ma<strong>in</strong>ly been the focus <strong>of</strong> different studies (Dittmer, 2005). Although visual representations (VR) <strong>in</strong> textbooks are important teach<strong>in</strong>g and<br />

learn<strong>in</strong>g tools only recently have attracted research attention. The focus <strong>of</strong> this study is the visual representations <strong>in</strong>volved <strong>in</strong> a secondary<br />

school textbook <strong>of</strong> economics and the students’ read<strong>in</strong>gs for two <strong>of</strong> them.<br />

1.1. Rationale<br />

In many discipl<strong>in</strong>es, ideas are expressed <strong>in</strong> the form <strong>of</strong> draw<strong>in</strong>gs, diagrams, charts and graphs. These visual representations can vary<br />

from quick <strong>in</strong>formal sketches to carefully considered formal render<strong>in</strong>gs. Whatever their orig<strong>in</strong> and form, such graphic artefacts help<br />

people to th<strong>in</strong>k about their ideas and to communicate those ideas to others. <strong>Visual</strong> representations are also essential <strong>in</strong> communicat<strong>in</strong>g<br />

ideas <strong>in</strong> classrooms; however, the design <strong>of</strong> such representations is not always beneficial for learners. Such considerations have been<br />

<strong>in</strong>vestigated plac<strong>in</strong>g emphasis not only on the cognitive architecture, but to <strong>in</strong>dividual differences and prior knowledge (Cook, 2006).<br />

The co-deployment <strong>of</strong> written language and visual representations is especially important for textbooks which aim to lead non-expert<br />

readers to an understand<strong>in</strong>g <strong>of</strong> the esoteric doma<strong>in</strong> <strong>of</strong> a scientific field. Regard<strong>in</strong>g science textbooks, Koulaidis & Dimopoulos (2005/06)<br />

suggest that they “should ideally be authored <strong>in</strong> such a way so as to privilege converg<strong>in</strong>g and <strong>in</strong>tentional <strong>in</strong>terpretations on the part <strong>of</strong> the<br />

learners while discourag<strong>in</strong>g divergent and un<strong>in</strong>tentional read<strong>in</strong>gs”.<br />

Vision is central to our biological and socio-cultural be<strong>in</strong>g. The faculty <strong>of</strong> vision is our most important source <strong>of</strong> <strong>in</strong>formation about<br />

the world (Adams & Victor, 1993). As for the socio-cultural aspect, it is almost a commonplace to state that we live <strong>in</strong> a world where<br />

<strong>in</strong>formation is transmitted mostly <strong>in</strong> visual wrapp<strong>in</strong>gs, and technologies support and encourage communication which is essentially<br />

visual. Therefore, as biological and as socio-cultural be<strong>in</strong>gs, we are encouraged and aspire to ‘see’ not only what comes ‘with<strong>in</strong> site’, but<br />

also what we are unable to see (Arcavi, 2003). Thus one way <strong>of</strong> characteriz<strong>in</strong>g visualization and its importance, both as a ‘noun’ – the<br />

product, the visual image – and as a ‘verb’ – the process, the activity (Bishop, 1989), is that visualization <strong>of</strong>fers a method <strong>of</strong> see<strong>in</strong>g the<br />

unseen. Tak<strong>in</strong>g <strong>in</strong>to account that most <strong>of</strong> the entities and functions <strong>in</strong> the subject <strong>of</strong> economics are abstract and not possible to be seen,<br />

the visual representations can play a central role <strong>in</strong> the teach<strong>in</strong>g and learn<strong>in</strong>g <strong>of</strong> economics, as visualization is no longer related to<br />

illustrative purposes only. It is also be<strong>in</strong>g recognized as a key component <strong>of</strong> reason<strong>in</strong>g (deeply engag<strong>in</strong>g with the conceptual and not the<br />

merely perceptual), problem solv<strong>in</strong>g and even predict<strong>in</strong>g. There are so many issues concern<strong>in</strong>g visualization <strong>in</strong> economics education<br />

which require careful attention. In this study, we focus on visual representations used <strong>in</strong> higher secondary classrooms. <strong>Visual</strong>ization, as<br />

both the product and the process <strong>of</strong> creation, <strong>in</strong>terpretation and reflection upon pictures and images, is considered to be here very<br />

important, as although we deal with economical factors every day, the process <strong>of</strong> understand<strong>in</strong>g economical ideas <strong>in</strong> a more abstract and<br />

scientific way is a demand<strong>in</strong>g task. More particularly, our research questions are:<br />

• What k<strong>in</strong>d <strong>of</strong> visual representations (VR) are commonly used to portray ideas <strong>of</strong> economics <strong>in</strong> the school textbook <strong>of</strong> the first<br />

year <strong>of</strong> Lyceum?<br />

1<br />

Teacher <strong>of</strong> <strong>Economics</strong>, General Department <strong>of</strong> Education, <strong>School</strong> <strong>of</strong> Pedagogical and Technological Education (A.S.PE.T.E.) – Division <strong>of</strong> Patras,<br />

Achaikis Sympoliteias 20, Zavlani, 26442, Patras, Greece, email:<br />

2<br />

Pr<strong>of</strong>essor <strong>of</strong> Science and Technology Education, General Department <strong>of</strong> Education, <strong>School</strong> <strong>of</strong> Pedagogical and Technological Education (A.S.PE.T.E.) –<br />

Division <strong>of</strong> Patras, Achaikis Sympoliteias 20, Zavlani, 26442, Patras, Greece, email: spiliot@otenet.gr


322<br />

• Whaat<br />

choices do auuthors<br />

make <strong>in</strong> select<strong>in</strong>g or connstruct<strong>in</strong>g<br />

these e images?<br />

• Whaat<br />

is students’ reead<strong>in</strong>g<br />

<strong>of</strong> these two representaations<br />

and what do they show tto<br />

us?<br />

2. Methodoology<br />

The study <strong>in</strong>volves two p<br />

title <strong>of</strong> the boook<br />

is ‘Pr<strong>in</strong>cipl<br />

fourth grade o<strong>of</strong><br />

secondary sc<br />

focused on stuudents’<br />

experien<br />

not followed bby<br />

analytical lab<br />

The first rrepresentation<br />

national accouunts’.<br />

The VR h<br />

l<strong>in</strong>es, at the topp<br />

left, stand the<br />

The seconnd<br />

representation<br />

It has the folloow<strong>in</strong>g<br />

head<strong>in</strong>g:<br />

top, is followeed<br />

by the terms<br />

last one. The ffirst<br />

<strong>in</strong>cludes, a<br />

the month Octtober,<br />

is also <strong>in</strong><br />

where advertiss<strong>in</strong>g<br />

campaign i<br />

The researrch<br />

tool consiste<br />

first question asked students<br />

set <strong>of</strong> questionns,<br />

students ha<br />

question.<br />

58 studentts<br />

<strong>of</strong> the 4<br />

tasks. All stud<br />

had also been<br />

th , 5 th<br />

phases. In the fiirst<br />

we analyzed<br />

the visual rep presentations <strong>of</strong>f<br />

a secondary scchool<br />

textbook <strong>of</strong> economics. The<br />

es <strong>of</strong> Economiics’<br />

(Dedousopoulos,<br />

Gialeris,<br />

Shistou, Tenttes<br />

& Chatziandreou,<br />

2002) and a is taught <strong>in</strong>n<br />

the<br />

chools that meeans<br />

the first yeear<br />

<strong>of</strong> upper se econdary schoool,<br />

the Greek LLyceum.<br />

In the second phase, , we<br />

nces with two o<strong>of</strong><br />

these visual rrepresentations<br />

(Figure 1 and 2). Both repressentations<br />

were coloured and wwere<br />

bels.<br />

(Figure 1) is <strong>in</strong>nvolved<br />

<strong>in</strong> the text <strong>of</strong> a unit with subtitle ‘NNational<br />

produuct’<br />

under the title t ‘The levells<br />

<strong>of</strong><br />

had the follow<strong>in</strong>ng<br />

head<strong>in</strong>g: ‘Thhe<br />

growth rate <strong>of</strong> o Gross Nationnal<br />

Product <strong>of</strong> GGreece-EEC’.<br />

The T signs <strong>of</strong> the two<br />

e first one for GGreece<br />

and the ssecond<br />

one for EEC. E<br />

n (Figure 2) is i<strong>in</strong>volved<br />

<strong>in</strong> the text <strong>of</strong> a small unit with the tiitle<br />

‘The meanss<br />

for the satisfac ction <strong>of</strong> our neeeds’.<br />

‘Advertis<strong>in</strong>g eexpenses<br />

<strong>of</strong> Octtober<br />

(1997-199 98)’. In each <strong>in</strong>stance<br />

<strong>of</strong> the VVR,<br />

the sign <strong>of</strong> the t rectangle, att<br />

the<br />

‘TELEVISIONN’<br />

<strong>in</strong> the first, ‘ ‘MAGAZINES S’ <strong>in</strong> the secondd,<br />

‘JOURNALSS’<br />

<strong>in</strong> the third an nd ‘RADIO’ <strong>in</strong>n<br />

the<br />

lso, the word <strong>in</strong>n<br />

italics ‘Percenntage<br />

%’, while e <strong>in</strong> the diaries <strong>of</strong> all four <strong>in</strong>staances<br />

the abbreviation<br />

‘OCT.’ , for<br />

nvolved. It seemms<br />

that the authhors<br />

aimed to relate r it to the ‘ Goods’ for the consumption and a for the growwth,<br />

is allocated.<br />

ed <strong>of</strong> two pagess,<br />

each one <strong>of</strong> wwhich<br />

<strong>in</strong>volved a visual representation<br />

and a nnumber<br />

<strong>of</strong> relev vant questions. The<br />

to describe thee<br />

content <strong>of</strong> eacch<br />

VR and wha at they thought each representaation<br />

aims to sh how. In the seccond<br />

ad to read <strong>in</strong>forrmation<br />

that waas<br />

<strong>in</strong>volved <strong>in</strong> the VR. In thiis<br />

work we anaalyze<br />

systematically<br />

only the first<br />

h th<br />

and 6 grade that means thee<br />

three years <strong>of</strong> f Greek Lyceumm<br />

worked aboutt<br />

a school sessi ion work<strong>in</strong>g onn<br />

the<br />

dents have beenn<br />

taught the conntent<br />

<strong>of</strong> the bookk.<br />

The research h took place <strong>in</strong> AApril<br />

and so stuudents<br />

<strong>of</strong> the first<br />

year <strong>of</strong> Lyceum<br />

taught the unitss<br />

with the VR aand<br />

a considerabble<br />

time had pa assed s<strong>in</strong>ce thenn.<br />

Figure 1: VR <strong>of</strong> the growwth<br />

rate <strong>of</strong> G.NN.P.<br />

<strong>of</strong> Greecee-EEC<br />

For thee<br />

analysis <strong>in</strong> bboth<br />

phases we employed the approach <strong>of</strong> <strong>in</strong> nductive categoory<br />

developmeent<br />

<strong>of</strong> qualitativ ve content anallysis<br />

(Mayr<strong>in</strong>g, 20000).<br />

In this apprroach,<br />

it is <strong>of</strong> ceentral<br />

<strong>in</strong>terest too<br />

develop the as spects <strong>of</strong> <strong>in</strong>terppretation,<br />

the caategories,<br />

as nea ar as possible too<br />

the<br />

material, to foormulate<br />

them <strong>in</strong> terms <strong>of</strong> thee<br />

content <strong>of</strong> the<br />

material under<br />

analysis. Ouur<br />

unit <strong>of</strong> analyysis,<br />

namely, th he fragment thaat<br />

is<br />

categorized eaach<br />

time, is eacch<br />

visual repressentation<br />

with tthe<br />

accompany y<strong>in</strong>g label <strong>in</strong> rellation<br />

also to thhe<br />

relevant text t <strong>in</strong> the first phhase,<br />

while <strong>in</strong> the seecond<br />

is each paart<br />

<strong>of</strong> a student’ ’s answer that sshows<br />

a dimens sion <strong>of</strong> his experience.<br />

Figure 2: VR <strong>of</strong> the advertis<strong>in</strong>g<br />

expenses o<strong>of</strong><br />

October (19997-1998)<br />

International CConference<br />

on AApplied<br />

Econom mics – ICOAE 22008<br />

The produuced<br />

categorizattions,<br />

<strong>in</strong> the forrm<br />

<strong>of</strong> systemic nnetworks<br />

(Bliss s et al, 1983), wwere<br />

validated bby<br />

three researc chers, <strong>of</strong> whom two<br />

were economists,<br />

teachers <strong>in</strong> secondary schoool<br />

and one wass<br />

a science educ cator.<br />

3. Analysiss<br />

3.1. Phase 1: <strong>Visual</strong> reepresentatioons<br />

<strong>of</strong> schoool<br />

textbook<br />

3.1.1. The caategorisationn<br />

Initially thhe<br />

number <strong>of</strong> VVR<br />

has been coounted.<br />

85 VR hhave<br />

been foun nd over 198 pagges<br />

that results <strong>in</strong> 0.43 VR pe er page. Pages wwith<br />

questions, exeercises<br />

and prooblems<br />

for studdents’<br />

practice have been excluded.<br />

This meeans<br />

that VR <strong>in</strong>n<br />

the book <strong>of</strong> economics are not<br />

favourable esppecially<br />

when ccompar<strong>in</strong>g<br />

withh<br />

the results fouund<br />

from the VR V <strong>of</strong> Biology aand<br />

Chemistry books, where each page contta<strong>in</strong>s<br />

more than twoo<br />

VR (Amariotaakis,<br />

2007). 60% % <strong>of</strong> the VR arre<br />

not followed by labels or anny<br />

comments <strong>in</strong>nside<br />

the repres sentation. Then, , the<br />

corpus <strong>of</strong> VR has been studieed<br />

and a numbeer<br />

<strong>of</strong> dimensionns<br />

have been ide entified presentted<br />

<strong>in</strong> the systemmic<br />

network <strong>of</strong> f Figure 3. So, eeach<br />

VR is categorrized<br />

accord<strong>in</strong>gg<br />

the type it is, the relation too<br />

the content, the relation too<br />

reality, and iits<br />

function wit th<strong>in</strong> the text <strong>of</strong>f<br />

the


International Conference on Applied <strong>Economics</strong> – ICOAE 2008 323<br />

page. In terms <strong>of</strong> type, VR<br />

<strong>Visual</strong><br />

representations<br />

Type<br />

Relation to the<br />

content<br />

Relation to<br />

reality<br />

Function<br />

Image<br />

Diagrammatic<br />

Sketch - Comic<br />

Clip & scrap<br />

Photograph<br />

Absent - Weak<br />

A k<strong>in</strong>d <strong>of</strong> relationship<br />

Mean<strong>in</strong>gful for learn<strong>in</strong>g<br />

Realistic representation<br />

Conceptual map<br />

can be categorized as image when they are sketch-comic, clip & scrap, photograph, or as diagrammatic type like table, graph,<br />

schematic representation or conceptual map. In terms <strong>of</strong> relation to the content, a VR can have no relation or a very weak relevance to the<br />

content, can have some k<strong>in</strong>d <strong>of</strong> relationship, or can be mean<strong>in</strong>gful for the learn<strong>in</strong>g <strong>of</strong> the content. In terms <strong>of</strong> their relationship with<br />

reality, VRep can be also classified as realistic, when they try to express aspects <strong>of</strong> a reality, or as metaphorical, when they connote or<br />

symbolize mean<strong>in</strong>gs over what they represent. F<strong>in</strong>ally, a VR has a function <strong>in</strong> terms <strong>of</strong> learner’s read<strong>in</strong>g (Spiliotopoulou, Karatrantou,<br />

Panagiotakopoulos & Koustourakis, 2008). In this case, as decorative are counted the ones that are not <strong>in</strong>tended to play a role <strong>in</strong> learn<strong>in</strong>g,<br />

but to make the page more beautiful or <strong>in</strong>terest<strong>in</strong>g, or give only a general aesthetic sense or feel<strong>in</strong>g <strong>of</strong> the textual spirit. As illustrative<br />

can be characterized the VRep, that provide simple representations <strong>of</strong> entities discussed <strong>in</strong> the text, without add<strong>in</strong>g mean<strong>in</strong>g or<br />

<strong>in</strong>formation <strong>in</strong> the textual reference. Sometimes, an illustrative VRep can prove to be more useful than def<strong>in</strong>itions for giv<strong>in</strong>g the<br />

mean<strong>in</strong>gs <strong>of</strong> words. Exemplify<strong>in</strong>g VRep are the ones that are suitable as completed examples or a variety <strong>of</strong> <strong>in</strong>stances related to the<br />

entities or concepts the written language refers to. VRep function as complementary when they provide <strong>in</strong>formation not <strong>in</strong>cluded and<br />

described explicitly <strong>in</strong> the l<strong>in</strong>guistic component.<br />

Sometimes they highlight the most important po<strong>in</strong>ts addressed <strong>in</strong> the text or extend the <strong>in</strong>formation <strong>of</strong> the text <strong>in</strong> richness or <strong>in</strong> new<br />

fields, thus contribut<strong>in</strong>g to the completion <strong>of</strong> the <strong>in</strong>tended new knowledge. In the category <strong>of</strong> explanatory VRep fall the ones that assist<br />

the text and provide new aspects <strong>of</strong> <strong>in</strong>formation necessary to make the explanatory, conceptual or causal mechanisms under<br />

consideration, clearer.<br />

Table<br />

Graph<br />

Metaphorical representation<br />

Decorative<br />

Illustrative<br />

Exemplify<strong>in</strong>g<br />

Explanatory<br />

Complementary<br />

Schematic representation<br />

Figure 3: The systemic network with dimensions and categories <strong>of</strong> VR


324<br />

Characteriistic<br />

examples aare<br />

shown <strong>in</strong> Fiigures<br />

4, 5 & 6. More analytica ally, <strong>in</strong> Figure 44,<br />

the VR preseented<br />

is a photograph<br />

<strong>in</strong>cluded <strong>in</strong> a<br />

unit about formms<br />

<strong>of</strong> markets and the way thhat<br />

prices are shhaped.<br />

It has a metaphorical ssense<br />

and its coonnection<br />

with the content is vvery<br />

weak, while itts<br />

role is rather decorative. In FFigure<br />

5, the VRR<br />

presented is <strong>in</strong>volved i <strong>in</strong> a unnit<br />

with the titlee<br />

“Needs and desires”. d Its headd<strong>in</strong>g<br />

says: ‘The deevelopment<br />

<strong>of</strong> pprivate<br />

cars’ oownership<br />

per 1.000 <strong>in</strong>habitan nts <strong>in</strong> Athens’. . At the left boottom<br />

side, the e axis is namedd<br />

as<br />

‘Veehicles<br />

/ 1.000 <strong>in</strong>h.’, while <strong>in</strong>n<br />

the<br />

blacck<br />

horizontal bar the tterm<br />

‘Preedictions’<br />

is written. w Inside the<br />

grapph,<br />

there is s the notattion:<br />

“Deevelopment<br />

<strong>of</strong> f property <strong>in</strong>ndex<br />

19996<br />

- 2020 83% %’. Authors’ aim<br />

seemms<br />

to be the e relation <strong>of</strong> this<br />

reprresentation<br />

to t the relaative<br />

diffferentiation<br />

betw ween the conccepts<br />

<strong>of</strong> thhe<br />

economic need<br />

and the desire.<br />

It iss<br />

categorized as a a graph, it hhas<br />

a<br />

k<strong>in</strong>dd<br />

<strong>of</strong> relationsh hip to the conntent<br />

andd<br />

it has a ra ather exemplify fy<strong>in</strong>g<br />

nature.<br />

Photograpphs<br />

<strong>of</strong> fold<strong>in</strong>g mmoney<br />

are conssidered<br />

to havee<br />

an illustrative function. A chharacteristic<br />

exaample<br />

<strong>of</strong> a com mplementary VVR<br />

is<br />

presented <strong>in</strong> FFigure<br />

6. The uunit<br />

has a title: : “The econommic<br />

system <strong>in</strong> crisis’.<br />

The barss<br />

<strong>in</strong> the graph correspond to the three levells<br />

<strong>of</strong><br />

educationn,<br />

signed at th he bottom by the square symmbols,<br />

the firs st stand<strong>in</strong>g for the<br />

‘Primary education’, the e second for thee<br />

‘<strong>Secondary</strong> edducation’<br />

and th he third for ‘Higgher<br />

educationn’.<br />

In the hor rizontal axis, tthe<br />

countries o<strong>of</strong><br />

Europe are e located with the<br />

follow<strong>in</strong>gg<br />

sequence: Austria, A Portuggal,<br />

Greece, HHolland,<br />

Italy, Belgium, Britta<strong>in</strong>,<br />

Germanyy,<br />

Sweden, Fran nce, Denmark, Ireland, Spa<strong>in</strong>, , F<strong>in</strong>land. At th he right bottomm<br />

the<br />

source <strong>of</strong><br />

the <strong>in</strong>formation<br />

is notated: : ‘Source: Euroopean<br />

Commis ssion (1996)’. The<br />

graph hass<br />

a head<strong>in</strong>g ‘Un nemployment aand<br />

Level <strong>of</strong> Edducation’,<br />

which h is not <strong>in</strong>volveed<br />

<strong>in</strong><br />

the VR aas<br />

appears <strong>in</strong> Figure<br />

6. There iis<br />

no relevant ddescription<br />

<strong>in</strong> th he unit, but this VR<br />

<strong>of</strong>fers to the reader mo ore <strong>in</strong>formation relevant to thee<br />

content <strong>of</strong> th he curriculum, sso<br />

it<br />

functionss<br />

complementar ry to the text.<br />

3.1.2. F<strong>in</strong>d<strong>in</strong>ngs<br />

Table 1 prresents<br />

the frequuencies<br />

<strong>of</strong> categories<br />

<strong>of</strong> VRepp<br />

that are met <strong>in</strong> n secondary texxtbooks.<br />

As is sshown,<br />

more th han half <strong>of</strong> themm<br />

are<br />

photographs (554%),<br />

while almmost<br />

one third <strong>of</strong> them are diffferent<br />

k<strong>in</strong>d <strong>of</strong> diagrams d (27.3%)<br />

and 14.2% tables. 11.3% <strong>of</strong> o them are skeetch-<br />

comics and a tthere<br />

are few (33.2%)<br />

clips and scraps form neewspapers<br />

or ma agaz<strong>in</strong>es.<br />

Tablle<br />

1: Percentagges<br />

<strong>of</strong> VR per ccategory<br />

Typee<br />

<strong>of</strong> representaation<br />

Sketcch-comic<br />

Clip & scrap<br />

Photoograph<br />

Tablee<br />

Graph<br />

- Diagram<br />

Schemmatic<br />

representtation<br />

Concceptual<br />

map<br />

Relattion<br />

to the conntent<br />

<strong>of</strong> text<br />

Abseent<br />

- weak<br />

A k<strong>in</strong>nd<br />

<strong>of</strong> relationshhip<br />

Meann<strong>in</strong>gful<br />

for learnn<strong>in</strong>g<br />

Relattion<br />

to reality<br />

Realiistic<br />

Metaaphorical<br />

Funcction<br />

Decoorative<br />

Illusttrative<br />

Exemmplify<strong>in</strong>g<br />

Percentage<br />

(%)<br />

11,3<br />

3.2<br />

54<br />

14.5<br />

4.8<br />

12.5<br />

10<br />

12.9<br />

45.16<br />

46.7<br />

49.41<br />

50.58<br />

52,94<br />

8,23<br />

31,17<br />

International CConference<br />

on AApplied<br />

Econom mics – ICOAE 22008


International Conference on Applied <strong>Economics</strong> – ICOAE 2008 325<br />

Explanatory 8,23<br />

Complementary 9,41<br />

Less than half <strong>of</strong> VR can be considered as mean<strong>in</strong>gful for the learn<strong>in</strong>g <strong>of</strong> the text content, while there are some VR (12.9%) that are<br />

not related at all or are related <strong>in</strong> a very weak way to the mean<strong>in</strong>g <strong>of</strong> the content. Half <strong>of</strong> the VR are realistic and the other half<br />

metaphorical. Half <strong>of</strong> VR have a decorative function, while 31.17% are exemplify<strong>in</strong>g ones. A percentage <strong>of</strong> 8.23% VR are illustrative<br />

and another 8.23% only are explanatory, while 9.41% can be considered as complementary.<br />

3.2. Phase 2: Students’ experiences with the two VR<br />

The first question asked students to read each VR carefully and then to write a description <strong>of</strong> what they thought the VR is about and<br />

what aims to show.<br />

Categories emerged from students’ experiences with the first VR are presented <strong>in</strong> Figure 7. Two dimensions have been identified:<br />

The concept where students’ attention has focused and the characteristics <strong>of</strong> the language used for the description. As it appears <strong>in</strong> Table<br />

2, 33.9% <strong>of</strong> the students did not manage to provide a description. In terms <strong>of</strong> concepts, 25% mention the terms ‘rate’ or ‘growth rate’,<br />

53.57% describe <strong>in</strong> terms <strong>of</strong> Greece and EEC, while there is a small percentage 3.4 that refer only to Greece. 16.07 <strong>of</strong> the students refer<br />

to the concept <strong>of</strong> development and only 33.92%<br />

Students’<br />

descriptions<br />

Concept<br />

Characteristics <strong>of</strong><br />

description<br />

Growth rate<br />

G.N.P. <strong>of</strong> Greece-EEC<br />

G.N.P. <strong>of</strong> Greece<br />

Development<br />

Time<br />

Personal Description<br />

Enriched description<br />

Other book concepts<br />

Information <strong>of</strong> VR<br />

General<br />

Twenty years<br />

Other periods<br />

Figure 7: The systemic network <strong>of</strong> the categories <strong>of</strong> descriptions for the ‘G.N.P.’<br />

VR<br />

paid attention to the factor <strong>of</strong> time, 7.14% <strong>of</strong> them referred to it <strong>in</strong> a general way, while 16.07% only mentioned the period <strong>of</strong> twenty<br />

years and 10,71% referred to other periods. Their descriptions, <strong>in</strong> 17.86% <strong>of</strong> the cases, can be characterized as personal, e.g. “The growth<br />

rate <strong>of</strong> a sector”, <strong>in</strong> 25% they used terms similar the ones <strong>in</strong>volved <strong>in</strong> the VR, <strong>in</strong> 7.14% they mentioned other concepts from their book<br />

and only <strong>in</strong> 16.07% students gave enriched descriptions, where further expla<strong>in</strong>ed the VR not necessarily <strong>in</strong> the best way. Such an<br />

example is the follow<strong>in</strong>g: “The diagrammatic representation has as goal to present the growth rate <strong>of</strong> different <strong>in</strong>dustries and <strong>in</strong> extent <strong>of</strong><br />

the different products before and after the entrance <strong>of</strong> Greece <strong>in</strong> EEC”.<br />

Table 2: Percentages <strong>of</strong> categories for the G.N.P. VR<br />

Categories Percentage (%)<br />

No answer 33.9<br />

Focus on concepts<br />

Growth rate 25<br />

G.N.P. <strong>of</strong> Greece 3.4<br />

G.N.P. Greece-ΕΕC 53.57<br />

Development 16.07<br />

General 7.14<br />

Time Twenty years 16.07<br />

Other periods 10.71<br />

Characteristics <strong>of</strong> descriptions<br />

Personal description 17.86<br />

Enriched description 16,07<br />

Other book concepts 7.14


326 International Conference on Applied <strong>Economics</strong> – ICOAE 2008<br />

Information <strong>of</strong> VR 25<br />

Categories emerged from students’ descriptions for the second VR (Figure 2) are presented <strong>in</strong> the systemic network <strong>of</strong> Figure 8. One<br />

<strong>of</strong> the concepts <strong>in</strong> the VR on which students focused is the advertis<strong>in</strong>g expenses with some talk<strong>in</strong>g about them <strong>in</strong> general. They may also<br />

refer to the variation <strong>of</strong> expenses per k<strong>in</strong>d <strong>of</strong> media, to the time and to the concept <strong>of</strong> percentage. Another concept is media. Aga<strong>in</strong> some<br />

students may refer to them <strong>in</strong> general, but some others describe more analytically referr<strong>in</strong>g to the four k<strong>in</strong>ds <strong>of</strong> media represented, or to<br />

the social role <strong>of</strong> them. A characteristic example <strong>of</strong> the last category is a student’s description: “It wants to show the effect <strong>of</strong> media on<br />

people’s life”.<br />

Time also is a concept which is mentioned <strong>in</strong> students’ comments. The month October <strong>in</strong>volved <strong>in</strong> the head<strong>in</strong>g <strong>of</strong> the VR is<br />

sometimes perceived and referred <strong>in</strong> their descriptions, while the period 1997-1998 is a dom<strong>in</strong>ant idea as we will see. Time without<br />

specification is also mentioned.<br />

Study<strong>in</strong>g students’ descriptions we identified some other characteristics related to the way <strong>of</strong> their talk<strong>in</strong>g about the VR. So, they can<br />

be dist<strong>in</strong>guished as personal descriptions, enriched descriptions and descriptions <strong>in</strong>clud<strong>in</strong>g distant to the ma<strong>in</strong> <strong>in</strong>tention <strong>of</strong> the VR<br />

concepts. A characteristic example <strong>of</strong> the last category is the follow<strong>in</strong>g: “In this Advertis<strong>in</strong>g Expense, which published <strong>in</strong> October 1997-<br />

98, we see that a research took place about how people get <strong>in</strong>formed. We see that the ma<strong>in</strong> <strong>in</strong>form<strong>in</strong>g is taken by the Television”. This<br />

student has mis<strong>in</strong>terpreted the mean<strong>in</strong>g <strong>of</strong> the VR and thought its mean<strong>in</strong>g to be about how people get <strong>in</strong>formed. Another case is when<br />

use <strong>in</strong> their descriptions similar <strong>in</strong>formation to the ones existed as textual <strong>in</strong>formation <strong>in</strong> the VR. A characteristic example is the<br />

follow<strong>in</strong>g: “It wants to show the advertis<strong>in</strong>g expense that was made the October (1997-1998) <strong>in</strong> the different k<strong>in</strong>ds <strong>of</strong> media”.<br />

Students’<br />

descriptions<br />

Concepts Media 4 k<strong>in</strong>ds<br />

Social role<br />

Month<br />

Time<br />

Period 1997-98<br />

General<br />

Characteristics <strong>of</strong><br />

descriptions<br />

Advertis<strong>in</strong>g expenses<br />

General<br />

Personal Description<br />

Enriched description<br />

Distant concepts<br />

Information <strong>of</strong> VR<br />

General<br />

Variation per<br />

k<strong>in</strong>d <strong>of</strong> media<br />

Variation <strong>in</strong> time<br />

Percentage<br />

Figure 8: The systemic network with the categories <strong>of</strong> descriptions for the<br />

“Advertis<strong>in</strong>g expenses’ VR<br />

It is worth mentioned some students’ misread<strong>in</strong>g <strong>of</strong> the notion <strong>of</strong> advertis<strong>in</strong>g expenses. The follow<strong>in</strong>g description reveals one<br />

student’s idea that advertis<strong>in</strong>g expenses is about how much money the media spend for their own advertisement: “It shows the variation<br />

<strong>of</strong> the expenses <strong>of</strong> the different k<strong>in</strong>d <strong>of</strong> media. It wants to show that TV has dom<strong>in</strong>ated and does not need the same advertisement as<br />

before <strong>in</strong> contrast to other k<strong>in</strong>ds <strong>of</strong> media that must be advertised more <strong>in</strong> order to ga<strong>in</strong> their old glamour”. This VR did not prove to be<br />

much easier for the students than the first one. As it appears <strong>in</strong> the Table 3, 26.78% <strong>of</strong> the students also did not manage to provide a short<br />

description <strong>of</strong> its content. Only <strong>in</strong> the 14.28% <strong>of</strong> their answers talked about advertis<strong>in</strong>g expenses <strong>in</strong> terms <strong>of</strong> variations per each k<strong>in</strong>d <strong>of</strong><br />

media and only the 8.93% <strong>in</strong> terms <strong>of</strong> variation <strong>in</strong> time. Some students mentioned about media <strong>in</strong> general (17.86%), while only 17.86%<br />

<strong>of</strong> them have referred to all four k<strong>in</strong>ds <strong>of</strong> media <strong>in</strong>volved <strong>in</strong> the VR. Another percentage <strong>of</strong> their descriptions (17.86%) focused on the<br />

social role <strong>of</strong> media, while most <strong>of</strong> them had a different mean<strong>in</strong>g that the <strong>in</strong>tended. In less than half <strong>of</strong> the descriptions the time was<br />

mentioned, while only <strong>in</strong> 8.93% <strong>of</strong> them the month October was noticed. 33.93% <strong>of</strong> them referred to the period 1997-1998 and 5.36% to<br />

time <strong>in</strong> general. 25% <strong>of</strong> the answers had the character <strong>of</strong> a personal description, 10.71% can be characterized as enriched description,<br />

while 23.21% <strong>of</strong> them used terms and <strong>in</strong>formation <strong>in</strong>cluded <strong>in</strong> the textual content <strong>of</strong> the VR and 14.28% referred to concepts distant from<br />

the context <strong>of</strong> VR. It is noticeable that no answer could be characterized as satisfactory <strong>in</strong> reply<strong>in</strong>g the question posed and understand<strong>in</strong>g<br />

the conceptual and contextual framework <strong>of</strong> the VR<br />

.


International Conference on Applied <strong>Economics</strong> – ICOAE 2008 327<br />

Table 3: Percentages <strong>of</strong> categories for the ‘Advertis<strong>in</strong>g Expenses’ VR<br />

Categories Percentage (%)<br />

No answer 26.78<br />

Focus on concepts<br />

Advertis<strong>in</strong>g General 23.21<br />

expenses Variation per medium 14.28<br />

Variation <strong>in</strong> time 8.93<br />

Percentage 16.07<br />

General 17.86<br />

Media<br />

Four k<strong>in</strong>ds 17.86<br />

Social role 17.86<br />

October 8.93<br />

Time<br />

Period 1997-98 33.93<br />

General 5.36<br />

Characteristics <strong>of</strong> descriptions<br />

Personal description 25<br />

Enriched description 10.71<br />

Distant concepts 14.28<br />

Information <strong>of</strong> VR 23.21<br />

4. Conclusions<br />

The f<strong>in</strong>d<strong>in</strong>gs presented here support the need to <strong>in</strong>vestigate the role <strong>of</strong> <strong>Visual</strong> <strong>Representations</strong> <strong>in</strong> teach<strong>in</strong>g and learn<strong>in</strong>g and especially<br />

the teach<strong>in</strong>g and learn<strong>in</strong>g <strong>of</strong> curriculum subjects, like the <strong>Economics</strong>, which most <strong>of</strong> them are beyond students’ immediate experience.<br />

The first part <strong>of</strong> this work focused on the visual representations <strong>in</strong>cluded <strong>in</strong> the book <strong>of</strong> <strong>Economics</strong> <strong>of</strong> the first year <strong>of</strong> Greek Lyceum. It<br />

was found that the ma<strong>in</strong> type <strong>of</strong> visual representation is the photographs (54%), that only half <strong>of</strong> all can be considered as mean<strong>in</strong>gful for<br />

learn<strong>in</strong>g and that half <strong>of</strong> them have a metaphorical role. Moreover, most <strong>of</strong> VR have either a decorative function (52.94%) or an<br />

exemplify<strong>in</strong>g function (31.17%). Tak<strong>in</strong>g <strong>in</strong>to account the facts that no VR is mentioned or notified <strong>in</strong>side the text and that they are not<br />

accompanied by explanatory labels, we can conclude that the visualization <strong>of</strong> the ideas <strong>of</strong> economics is not supported. Their relationship<br />

to the content is not direct and their role as be<strong>in</strong>g a key component <strong>of</strong> the way reason<strong>in</strong>g is developed <strong>in</strong> the discipl<strong>in</strong>e <strong>of</strong> economics is<br />

poor. Although most <strong>of</strong> the VR have a quality <strong>in</strong> terms <strong>of</strong> their technical and aesthetic characteristics, they do not succeed to provide<br />

images <strong>of</strong> the activities and the processes taken place <strong>in</strong> the field <strong>of</strong> economics.<br />

All these highlight the important issue <strong>of</strong> selection <strong>of</strong> fruitful representations. It could be argued that the authors’ rationale <strong>in</strong> the<br />

selection <strong>of</strong> the VR has not a clear goal, neither follows clear direction. It seems that more attention is paid to what is written <strong>in</strong> the<br />

textbook than how this can be better visually presented and better visualised by the readers. On the other hand, the VR from the reader’s<br />

po<strong>in</strong>t <strong>of</strong> view is another important issue that is neglected; the phenomenology <strong>of</strong> the representation imposes certa<strong>in</strong> features and<br />

consequent ideas on students’ read<strong>in</strong>g and <strong>in</strong>terpretations which the authors or the teachers would never have thought about.<br />

This is also supported by evidence from the second part <strong>of</strong> this work on how students experience two <strong>of</strong> these VR, when used<br />

without any textual supplement. Students face serious problems <strong>in</strong> read<strong>in</strong>g, understand<strong>in</strong>g the mean<strong>in</strong>g and describ<strong>in</strong>g what the VR says.<br />

In an effort to generalize the f<strong>in</strong>d<strong>in</strong>gs from the two representations, we can say that students’ experiences have certa<strong>in</strong> characteristics:<br />

The content and the conceptual mean<strong>in</strong>g <strong>of</strong> a VR is not automatically recognized, certa<strong>in</strong> phenomenological aspects <strong>of</strong> the VR attract<br />

their attention, while other quite obvious are neglected, aspects irrelevant to the VR can be recognized, un<strong>in</strong>tended and unexpected<br />

read<strong>in</strong>gs take <strong>of</strong>ten place. Our research raises questions about what k<strong>in</strong>d <strong>of</strong> representations <strong>in</strong> the textbooks <strong>of</strong> <strong>Economics</strong> could be worth<br />

<strong>of</strong> a thousand words. Three directions have to be further exploited: the <strong>in</strong>quiry <strong>of</strong> fruitful representations, the students’ responses to them,<br />

and teachers’ use <strong>of</strong> the VR <strong>in</strong> the classrooms. The importance <strong>of</strong> appropriate teach<strong>in</strong>g materials cannot be doubted, and VR have to f<strong>in</strong>d<br />

their place as a medium that helps students transcend the limitations <strong>of</strong> the m<strong>in</strong>d. Appropriate classroom practices where read<strong>in</strong>g and<br />

<strong>in</strong>terpretation <strong>of</strong> ‘good’ VR need well focused teachers’ actions. Teachers’ <strong>in</strong>terventions relat<strong>in</strong>g to different k<strong>in</strong>ds <strong>of</strong> representations and<br />

oral explanations supplementary to the visual and textual <strong>in</strong>formation have to a priority <strong>in</strong> order pictures to be worth <strong>of</strong> a thousand words.<br />

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