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Assessing Proof Reading Comprehension Using Summaries

Davies, B; Jones, I; (2021) Assessing Proof Reading Comprehension Using Summaries. International Journal of Research in Undergraduate Mathematics Education 10.1007/s40753-021-00157-6. (In press). Green open access

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Abstract

In this paper, we explore the role of mathematical proof summaries as a tool for capturing students’ reading comprehension of a given proof. We present an interview study based on mathematicians’ pairwise evaluations of student-produced summaries of a proof demonstrating the uncountability of the open unit interval. We present a thematic analysis, exploring features of mathematicians’ pairwise decision-making and their priorities in evaluating summaries. We argue that the students’ proof summaries shared several properties with traditional modes of proof-writing and were frequently evaluated against similar conventions. We consider the consequences for research and practice with proof comprehension and conclude that proof summaries have the potential to form the basis of a new approach to assessment in this area.

Type: Article
Title: Assessing Proof Reading Comprehension Using Summaries
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s40753-021-00157-6
Publisher version: https://doi.org/10.1007/s40753-021-00157-6
Language: English
Additional information: © 2021 Springer Nature Switzerland AG. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
Keywords: Proof summaries, Proof comprehension, Comparative judgement, Assessment
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10136284
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