Davies2020_Article_ComparativeJudgementProofSumma.pdf (1.53 MB)

Comparative judgement, proof summaries and proof comprehension

Download (1.53 MB)
journal contribution
posted on 11.09.2020 by Benjamin Davies, Lara Alcock, Ian Jones
Proof is central to mathematics and has drawn substantial attention from the mathematics education community. Yet, valid and reliable measures of proof comprehension remain rare. In this article, we present a study investigating proof comprehension via students’ summaries of a given proof. These summaries were evaluated by expert judges making pairwise comparisons, which were used to generate a score for each summary. This approach, known as comparative judgement, has been demonstrated to generate reliable and valid scores when assessing other mathematical constructs. Our findings suggest that comparative judgement can produce valid and reliable assessments of the quality of student-produced proof summaries. We also explored which features of students’ proof summaries were most valued by the expert judges, and found that high-scoring summaries referenced the proof’s logical structure and the mechanism by which it reached a contradiction.

History

School

  • Science

Department

  • Mathematics Education Centre

Published in

Educational Studies in Mathematics

Publisher

Springer

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Acceptance date

24/08/2020

Publication date

2020-10-01

Copyright date

2020

ISSN

0013-1954

eISSN

1573-0816

Language

en

Depositor

Dr Ian Jones. Deposit date: 10 September 2020

Licence

Exports

Logo branding

Categories

Licence

Exports