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Topic-specific characteristics of proof-related reasoning
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-8520-8200
2023 (English)In: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, E-ISSN 1464-5211Article in journal (Refereed) Epub ahead of print
Abstract [en]

Students’ difficulties with proofs are well documented. To remedy this, it is often recommended that reasoning and proving be focused on in all grades and content areas of school mathematics. However, proofs continue to have a marginal place in many classrooms, or are only given explicit attention in courses in Euclidean geometry. Geometry is also the most common topic for educational research on reasoning and proving. This paper compares what four other topics in secondary school mathematics – logarithms, primitive functions, definite integrals, and combinatorics – can offer in terms of opportunities to learn proof. The types and natures of reasoning in expository sections and students’ tasks in 11 Swedish and Finnish textbooks are analysed in search of similarities and differences between these topics. The results are accounted for with special focus on opportunities for reasoning about general cases. Finally, the findings are discussed in relation to mathematical aspects of the four analysed topics.

Place, publisher, year, edition, pages
Taylor & Francis, 2023.
Keywords [en]
combinatorics, integrals, logarithms, mathematics textbook, proof-related reasoning, upper secondary school
National Category
Educational Sciences Other Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-94445DOI: 10.1080/0020739X.2023.2255190ISI: 001069395400001OAI: oai:DiVA.org:oru-94445DiVA, id: diva2:1595092
Available from: 2021-09-17 Created: 2021-09-17 Last updated: 2023-10-10Bibliographically approved

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Bergwall, Andreas

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