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Proof-related reasoning in upper secondary school: characteristics of Swedish and Finnish textbooks
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-8520-8200
2021 (English)In: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 52, no 5, p. 731-751Article in journal (Refereed) Published
Abstract [en]

Despite the central role of proofs in mathematics, research often shows that school textbooks offer limited support for the teaching and learning of proof-related reasoning. This study contributes to this field of research by studying Swedish and Finnish upper secondary textbooks on logarithms and combinatorics. Justifications in expository sections are analysed and students' tasks are categorized according to the type and nature of reasoning they require. The findings imply that opportunities to learn proof-related reasoning are few, and are more oriented towards deductive reasoning in Finnish textbooks and towards empirical reasoning and conjecturing in Swedish textbooks. The results are discussed in relation to similar studies from both Scandinavian and United States contexts, and address future research and development of the theoretical framing of proof-related reasoning.

Place, publisher, year, edition, pages
Taylor & Francis, 2021. Vol. 52, no 5, p. 731-751
Keywords [en]
Mathematics textbook, upper secondary school, proof-related reasoning
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:oru:diva-79090DOI: 10.1080/0020739X.2019.1704085ISI: 000503930600001Scopus ID: 2-s2.0-85077032192OAI: oai:DiVA.org:oru-79090DiVA, id: diva2:1385777
Available from: 2020-01-15 Created: 2020-01-15 Last updated: 2021-06-11Bibliographically approved

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Bergwall, Andreas

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  • de-DE
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Output format
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  • asciidoc
  • rtf