Counterexamples and refutations in undergraduate mathematics
conference contributionposted on 2022-03-02, 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.
- Mathematics Education Centre
Published inProceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education
Pages1 - 9
Source2022 Conference on Research in Undergraduate Mathematics Education
PublisherThe Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education
- AM (Accepted Manuscript)
Rights holder© The Authors
Publisher statementThis 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.