Secondary school students’ appraisal of mathematical proofs
Secondary school students’ appraisal of mathematical proofs
Research on the reading of proofs is an important area of proof research in mathematics education. As one aspect of the reading of proofs, we focus on ‘proof appraisal’ by students (that is, students’ judgements about given proofs) and explore how students appraise different proofs of an identical statement. Using a simple proof and a generalisable proof of a statement, we analysed the results of a questionnaire completed by 39 Grade 8 secondary school students (13¬–14 years old). We show aspects of each proof that were appraised by the students, such as simplicity, and the relativeness of their proof appraisals. An implication is a possible ‘gap’ between the ‘mathematical value’ appreciated by students and that by researchers and teachers.
mathematics, students, appraisal, proof, PME
227-234
International Group for the Psychology of Mathematics Education
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Yamazaki, Miho
10ca38ba-1df8-434f-b337-6b48d3825034
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Sue, Naoki
e23f2647-3852-4a1a-b652-3f3f5bd0cada
3 July 2018
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Yamazaki, Miho
10ca38ba-1df8-434f-b337-6b48d3825034
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Sue, Naoki
e23f2647-3852-4a1a-b652-3f3f5bd0cada
Komatsu, Kotaro, Yamazaki, Miho, Fujita, Taro, Jones, Keith and Sue, Naoki
(2018)
Secondary school students’ appraisal of mathematical proofs.
Bergqvist, Ewa, Österholm, Magnus, Granberg, Carina and Sumpter, Lovisa
(eds.)
In Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (PME42).
vol. 42,
International Group for the Psychology of Mathematics Education.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
Research on the reading of proofs is an important area of proof research in mathematics education. As one aspect of the reading of proofs, we focus on ‘proof appraisal’ by students (that is, students’ judgements about given proofs) and explore how students appraise different proofs of an identical statement. Using a simple proof and a generalisable proof of a statement, we analysed the results of a questionnaire completed by 39 Grade 8 secondary school students (13¬–14 years old). We show aspects of each proof that were appraised by the students, such as simplicity, and the relativeness of their proof appraisals. An implication is a possible ‘gap’ between the ‘mathematical value’ appreciated by students and that by researchers and teachers.
Text
Komatsu-et-al_appraisal_proofs_PME42_2018
- Accepted Manuscript
More information
Accepted/In Press date: 19 April 2018
Published date: 3 July 2018
Additional Information:
The copyright is held by the authors.
Venue - Dates:
42nd Conference of the International Group for the Psychology of Mathematics Education (PME42), Umeå University, Umeå, Sweden, 2018-07-03 - 2018-07-08
Keywords:
mathematics, students, appraisal, proof, PME
Identifiers
Local EPrints ID: 422456
URI: http://eprints.soton.ac.uk/id/eprint/422456
ISSN: 0771-100X
PURE UUID: 15b85682-f69d-4e7c-8135-e939d7b03595
Catalogue record
Date deposited: 24 Jul 2018 16:30
Last modified: 15 Mar 2024 20:52
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Contributors
Author:
Kotaro Komatsu
Author:
Miho Yamazaki
Author:
Taro Fujita
Author:
Naoki Sue
Editor:
Ewa Bergqvist
Editor:
Magnus Österholm
Editor:
Carina Granberg
Editor:
Lovisa Sumpter
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