Davies2020_Article_ComparativeJudgementProofSumma.pdf (1.53 MB)
Comparative judgement, proof summaries and proof comprehension
journal contribution
posted on 2020-09-11, 14:07 authored by Benjamin Davies, Lara AlcockLara Alcock, Ian JonesIan JonesProof 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 MathematicsVolume
105Pages
181–197Publisher
SpringerVersion
- VoR (Version of Record)
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© The AuthorsPublisher 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
2020-08-24Publication date
2020-10-01Copyright date
2020ISSN
0013-1954eISSN
1573-0816Publisher version
Language
- en
Depositor
Dr Ian Jones. Deposit date: 10 September 2020Usage metrics
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