The University of Southampton
University of Southampton Institutional Repository

Lower secondary school students’ understanding of algebraic proof

Lower secondary school students’ understanding of algebraic proof
Lower secondary school students’ understanding of algebraic proof
Secondary school students are known to face a range of difficulties in learning about proof and proving in mathematics. This paper reports on a study designed to address the issue of students’ cognitive needs for conviction and verification in algebraic statements. Through an analysis of data from 418 students (206 from Grade 8, and 212 from Grade 9), we report on how students might be able to ‘construct’ a formal proof, yet they may not fully appreciate the significance of such formal proof. The students may believe that formal proof is a valid argument, while, at the same time, they also resort to experimental verification as an acceptable way of ‘ensuring’ universality and generality of algebraic statements
teaching, learning, pedagogy, curriculum, students, algebra, algebraic, geometry, geometrical, thinking, development, grade 8, keith jones, southampton
9789602436554
441-448
International Group for the Psychology of Mathematics Education
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Kumakura, Hiroyuki
e7b62c78-5b51-4ccb-85a5-f2dc3e94bee2
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Kumakura, Hiroyuki
e7b62c78-5b51-4ccb-85a5-f2dc3e94bee2
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc

Kunimune, Susumu, Kumakura, Hiroyuki, Jones, Keith and Fujita, Taro (2009) Lower secondary school students’ understanding of algebraic proof. In Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education (PME33). International Group for the Psychology of Mathematics Education. pp. 441-448 .

Record type: Conference or Workshop Item (Paper)

Abstract

Secondary school students are known to face a range of difficulties in learning about proof and proving in mathematics. This paper reports on a study designed to address the issue of students’ cognitive needs for conviction and verification in algebraic statements. Through an analysis of data from 418 students (206 from Grade 8, and 212 from Grade 9), we report on how students might be able to ‘construct’ a formal proof, yet they may not fully appreciate the significance of such formal proof. The students may believe that formal proof is a valid argument, while, at the same time, they also resort to experimental verification as an acceptable way of ‘ensuring’ universality and generality of algebraic statements

Text
Kunimune_et_al_PME33_2009.pdf - Author's Original
Download (85kB)

More information

Published date: 2009
Additional Information: The pagination of this final proof copy is almost exactly as it appears in the published version. The paper is in volume 3.
Venue - Dates: conference; gr; 2009-07-19; 2009-07-24, Thessaloniki, Greece, Greece, 2009-07-19 - 2009-07-24
Keywords: teaching, learning, pedagogy, curriculum, students, algebra, algebraic, geometry, geometrical, thinking, development, grade 8, keith jones, southampton
Organisations: Mathematics, Science & Health Education

Identifiers

Local EPrints ID: 69298
URI: http://eprints.soton.ac.uk/id/eprint/69298
ISBN: 9789602436554
PURE UUID: 6db01929-1158-4269-881f-32bcbce95c59
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 03 Nov 2009
Last modified: 12 Apr 2024 16:31

Export record

Contributors

Author: Susumu Kunimune
Author: Hiroyuki Kumakura
Author: Keith Jones ORCID iD
Author: Taro Fujita

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 http://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.

×