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The role of mode of representation in students argument constructions

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The role of mode of representation in students argument constructions

213CERME9 (2015) - TWG01

The role of mode of representation in

Andreas J. Stylianides

University of Cambridge, Faculty of Education, Cambridge, UK, Research into students' understanding of proof has gen : Proof, argument construction, oral

INTRODUCTION

An mode of representation (Stylianides, 2007) The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 214
with a different mode of representation - written

RESEARCH CONTEXT

The data for the paper are derived from a design ex proof [in our class] sceptic. understand why a state ideas that our class knows already (e.g., equations, pictures, no errors (e.g., in calculations). clearly presented. (PowerPoint slide The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 215

The criteria were consistent with the

Proof is a mathematical argument, a

set of accept ) that are true and avail modes of argumentation) that are modes of argument representation) that are ap

METHOD

The data for the paper are the written arguments of,

Analysis

A research assistant and myself coded independently

Figure 1:nj

The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 216
level of mathematical sophistication. We compared general (i.e., it referred to all cases valid modes invalid individual student or a pair of students; no input, some but not substantial input (i.e., substantial (i.e., input that influenced the presented compari between the levels of mathematical sophistication

RESULTS

The results are summarized in Figures 2-4, which

The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 217
by certain groups of students and the correspond Figure 2: Students who wrote and presented their arguments individually, with no input (N=9) Figure 3: Students who presented their arguments in pairs, with no input (N=4) The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 218
Yet, in two of the cases the input was not substantial:

DISCUSSION

The findings offer support to the hypothesis that the Figure 4: Students who wrote and presented their arguments individually, with input (N=4) The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 219
arguments tended to rank higher than their written 1.

Writing mathematical arguments may

2.

Students may tend to prefer oral

3.

The three proving tasks all belonged to

4.

Even though

ACKNOWLEDGEMENT

The research reported in this paper was supported

REFERENCES

Healy, L., & Hoyles, C. (2000). A study of proof conceptions in

Journal for Research in Mathematics Education,

, 396-428.

For the

(3), 42-49.

Longitudinal Proof

10 surveys). London:

Thinking mathe

London: Addison-Wesley.

Proceedings of the 26

, Vol. 4 (pp. 113-120). Norwich, England: University of East Anglia.

Review of Educational Research, 71, 365-392.

Mathematical problem solving.

Orlando: Academic Press.

Journal for Research in Mathematics Education, 38,

289-321.

Educational Studies in Mathematics, 72,

237-253.

ENDNOTES

1. While a written or an oral mode of representation

The role of mode of representation in students" argument constructions (Andreas J. Stylianides) 220
argument, other modes of representation can alsoquotesdbs_dbs29.pdfusesText_35
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