Differentiating between counterexamples for supporting students’ algorithmic thinking

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dc.contributor.authorTupouniua J
dc.date.accessioned2023-09-08T00:37:52Z
dc.date.accessioned2023-09-21T22:15:10Z
dc.date.available2023-09-08T00:37:52Z
dc.date.available2023-09-21T22:15:10Z
dc.date.issued2023-01-07
dc.date.updated2023-09-08T00:21:02Z
dc.description(c) The Author/s 2022en_US
dc.description.abstractThis study examines the use of counterexamples for supporting the development of students’ algorithmic thinking. Working from the premise that some counterexamples are more effective than others for the development of generalized algorithms, the study proposes distinctions between counterexamples in relation to the iterative refinement of student-invented algorithms. Furthermore, the study identifies some factors that may influence differences among counterexamples. Using task-based interviews, data were collected from 23 undergraduate students working in pairs (n = 8) and individually (n = 7) on three algorithmatizing tasks. From a thematic analysis of the data, two illustrative cases are presented to show how and why different counterexamples might bring about particular revisions in students’ algorithms. The two illustrative cases highlight two types of counterexamples—set-of-instructions-changing (SoI-changing) and domain-of-validity-narrowing (DoV-narrowing)—and their influencing factors. Implications of the findings are discussed with respect to existing literature, further research, and teaching.
dc.description.confidentialfalse
dc.identifier.citationTupouniua J. (2023). Differentiating between counterexamples for supporting students’ algorithmic thinking. Asian Journal for Mathematics Education.
dc.identifier.doi10.1177/27527263221139869
dc.identifier.elements-typejournal-article
dc.identifier.harvestedMassey_Dark
dc.identifier.urihttp://hdl.handle.net/10179/20129
dc.publisherSAGE Publications Ltd and East China Normal University
dc.relation.isPartOfAsian Journal for Mathematics Education
dc.rightsCC BY-NC 4.0en_US
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/en_US
dc.titleDifferentiating between counterexamples for supporting students’ algorithmic thinking
dc.typeJournal article
pubs.elements-id458766
pubs.organisational-groupOther
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