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Counterexamples and refutations in undergraduate mathematics

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conference contribution
posted on 02.03.2022, 10:53 authored by Lara AlcockLara Alcock, Nina Attridge
How do undergraduate mathematics students interpret refutations? We investigated this question by asking participants to 1) decide whether statements are true or false and provide refutations, 2) evaluate counterexamples and ‘correct versions’ of the statements as valid or invalid refutations, and 3) judge which potential refutations are better, explaining why. We report a study in which 173 undergraduate mathematics students completed this task. Results reveal that participants did largely understand the logic of counterexamples but did not reliably understand the broader logic of refutations.

History

School

  • Science

Department

  • Mathematics Education Centre

Published in

Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education

Pages

1 - 9

Source

2022 Conference on Research in Undergraduate Mathematics Education

Publisher

The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education

Version

AM (Accepted Manuscript)

Rights holder

© The Authors

Publisher statement

This paper was accepted for publication in Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education and the definitive published version is available at http://sigmaa.maa.org/rume/Site/Proceedings.html.

Acceptance date

29/11/2021

Publication date

2022-07-01

Copyright date

2022

ISSN

2474-9346

Language

en

Editor(s)

Shiv Smith Karunakaran; Abigail Higgins

Location

Boston, Massachusetts, USA

Event dates

24th February 2022 - 26th February 2022

Depositor

Dr Lara Alcock. Deposit date: 1 March 2022

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