Assessing proof reading comprehension using summaries
Assessing proof reading comprehension using summaries
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.
Davies, Ben
aa12efcd-c8a4-4abc-9f2a-469afaff2770
Jones, Ian
045bc8af-3f9e-4734-bbaa-68bd2336a6bc
Davies, Ben
aa12efcd-c8a4-4abc-9f2a-469afaff2770
Jones, Ian
045bc8af-3f9e-4734-bbaa-68bd2336a6bc
Davies, Ben and Jones, Ian
(2021)
Assessing proof reading comprehension using summaries.
International Journal of Research in Undergraduate Mathematics Education.
(doi:10.1007/s40753-021-00157-6).
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.
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s40753-021-00157-6
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Accepted/In Press date: 15 September 2021
e-pub ahead of print date: 6 October 2021
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Local EPrints ID: 470673
URI: http://eprints.soton.ac.uk/id/eprint/470673
PURE UUID: 5fac130c-c377-44be-a963-bf0976bc5a62
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Date deposited: 17 Oct 2022 17:00
Last modified: 17 Mar 2024 04:14
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Author:
Ben Davies
Author:
Ian Jones
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