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ERIC Number: EJ1469985
Record Type: Journal
Publication Date: 2025
Pages: 22
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: EISSN-1464-5211
Available Date: 0000-00-00
Topic-Specific Characteristics of Proof-Related Reasoning
International Journal of Mathematical Education in Science and Technology, v56 n4 p583-604 2025
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.
Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Sweden; Finland
Grant or Contract Numbers: N/A
Author Affiliations: 1Örebro University, Örebro, Sweden