The University of Southampton
University of Southampton Institutional Repository

Secondary school students’ appraisal of mathematical proofs

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
0771-100X
3
227-234
IGPME
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
Bergqvist, Ewa
Österholm, Magnus
Granberg, Carina
Sumpter, Lovisa
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
Bergqvist, Ewa
Österholm, Magnus
Granberg, Carina
Sumpter, Lovisa

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, IGPME. pp. 227-234 .

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
Download (372kB)

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, Sweden, 2018-07-03 - 2018-07-08
Keywords: mathematics, students, appraisal, proof, PME

Identifiers

Local EPrints ID: 422456
URI: https://eprints.soton.ac.uk/id/eprint/422456
ISSN: 0771-100X
PURE UUID: 15b85682-f69d-4e7c-8135-e939d7b03595
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 24 Jul 2018 16:30
Last modified: 14 Mar 2019 01:53

Export record

Contributors

Author: Kotaro Komatsu
Author: Miho Yamazaki
Author: Taro Fujita
Author: Keith Jones ORCID iD
Author: Naoki Sue
Editor: Ewa Bergqvist
Editor: Magnus Österholm
Editor: Carina Granberg
Editor: Lovisa Sumpter

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×