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Counterexamples and refutations in undergraduate mathematics
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...
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Format: | Default Conference proceeding |
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2022
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Online Access: | https://hdl.handle.net/2134/19273676.v1 |
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author | Lara Alcock Nina Attridge |
author_facet | Lara Alcock Nina Attridge |
author_sort | Lara Alcock (1384308) |
collection | Figshare |
description | 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. |
format | Default Conference proceeding |
id | rr-article-19273676 |
institution | Loughborough University |
publishDate | 2022 |
record_format | Figshare |
spelling | rr-article-192736762022-07-01T00:00:00Z Counterexamples and refutations in undergraduate mathematics Lara Alcock (1384308) Nina Attridge (433622) Counterexample Refutation Conditional Statement Logic Undergraduate 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. 2022-07-01T00:00:00Z Text Conference contribution 2134/19273676.v1 https://figshare.com/articles/conference_contribution/Counterexamples_and_refutations_in_undergraduate_mathematics/19273676 CC BY-NC-ND 4.0 |
spellingShingle | Counterexample Refutation Conditional Statement Logic Undergraduate Lara Alcock Nina Attridge Counterexamples and refutations in undergraduate mathematics |
title | Counterexamples and refutations in undergraduate mathematics |
title_full | Counterexamples and refutations in undergraduate mathematics |
title_fullStr | Counterexamples and refutations in undergraduate mathematics |
title_full_unstemmed | Counterexamples and refutations in undergraduate mathematics |
title_short | Counterexamples and refutations in undergraduate mathematics |
title_sort | counterexamples and refutations in undergraduate mathematics |
topic | Counterexample Refutation Conditional Statement Logic Undergraduate |
url | https://hdl.handle.net/2134/19273676.v1 |