Primary Students' Understanding of Proof

RA Callingham; JL Falle; GJ Clark

Primary Students' Understanding of Proof

RA Callingham
, JL Falle
, GJ Clark

School of Education

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The notion of proof is arguably a fundamental concept in mathematics. Mathematicscurricula expect students to develop understanding of proof through explaining andjustifying their mathematical responses, and communicating these responses in coherentways. This study reports the findings from a sample of students in Years 5 and 6 in twoschools to a question that asked them to prove a mathematical statement of equality. Surveyresults from 56 students, and twelve follow-up interviews, were analysed using the SOLOmodel. Implications from the findings that most students could not use a zero statement tojustify their responses, and that answers appeared to be related to language-based factorswill be discussed.

Original language	English
Title of host publication	Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27)
Editors	I Putt, R Faragher, M McLean
Place of Publication	Pymble, Australia
Publisher	Mathematics Education Research Group of Australasia (MERGA)
Pages	151-158
ISBN (Print)	1920846042
Publication status	Published - 2004
Event	MERGA 27: 27th Annual Conference of the Mathematics Education Research Group of Australasia - Townsville, Australia Duration: 27 Jun 2004 → 30 Jun 2004

Conference

Conference	MERGA 27: 27th Annual Conference of the Mathematics Education Research Group of Australasia
City	Townsville, Australia
Period	27/06/04 → 30/06/04

Keywords

Education Assessment and Evaluation

Access to Document

https://hdl.handle.net/1959.11/760

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Callingham, RA., Falle, JL., & Clark, GJ. (2004). Primary Students' Understanding of Proof. In I. Putt, R. Faragher, & M. McLean (Eds.), Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27) (pp. 151-158). Mathematics Education Research Group of Australasia (MERGA). https://hdl.handle.net/1959.11/760

Callingham, RA ; Falle, JL ; Clark, GJ. / Primary Students' Understanding of Proof. Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27). editor / I Putt ; R Faragher ; M McLean. Pymble, Australia : Mathematics Education Research Group of Australasia (MERGA), 2004. pp. 151-158

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author = "RA Callingham and JL Falle and GJ Clark",

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language = "English",

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booktitle = "Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27)",

publisher = "Mathematics Education Research Group of Australasia (MERGA)",

note = "MERGA 27: 27th Annual Conference of the Mathematics Education Research Group of Australasia ; Conference date: 27-06-2004 Through 30-06-2004",

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Callingham, RA, Falle, JL & Clark, GJ 2004, Primary Students' Understanding of Proof. in I Putt, R Faragher & M McLean (eds), Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27). Mathematics Education Research Group of Australasia (MERGA), Pymble, Australia, pp. 151-158, MERGA 27: 27th Annual Conference of the Mathematics Education Research Group of Australasia, Townsville, Australia, 27/06/04. <https://hdl.handle.net/1959.11/760>

Primary Students' Understanding of Proof. / Callingham, RA; Falle, JL; Clark, GJ.
Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27). ed. / I Putt; R Faragher; M McLean. Pymble, Australia: Mathematics Education Research Group of Australasia (MERGA), 2004. p. 151-158.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The notion of proof is arguably a fundamental concept in mathematics. Mathematicscurricula expect students to develop understanding of proof through explaining andjustifying their mathematical responses, and communicating these responses in coherentways. This study reports the findings from a sample of students in Years 5 and 6 in twoschools to a question that asked them to prove a mathematical statement of equality. Surveyresults from 56 students, and twelve follow-up interviews, were analysed using the SOLOmodel. Implications from the findings that most students could not use a zero statement tojustify their responses, and that answers appeared to be related to language-based factorswill be discussed.

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Callingham RA, Falle JL, Clark GJ. Primary Students' Understanding of Proof. In Putt I, Faragher R, McLean M, editors, Mathematics Education for the Third Millennium: Towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-27). Pymble, Australia: Mathematics Education Research Group of Australasia (MERGA). 2004. p. 151-158

Primary Students' Understanding of Proof

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