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On a generality framework for proving tasks
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Örebro Univ, Örebro, Sweden.ORCID iD: 0000-0002-8520-8200
2015 (English)In: PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9) / [ed] Krainer, K Vondrova, N, CHARLES UNIV, FAC EDUC , 2015, p. 86-92Conference paper, Published paper (Refereed)
Abstract [en]

In this paper I present an analytic framework for generality in textbook proving tasks that involve functions. The framework is discussed in relation to results obtained when analysing tasks in integral calculus. The results show that the frameworks' categories are easily distinguishable if the functions are explicitly described. The results are also promising regarding the possibility to clarify differences between textbooks. The analysed sections exemplify that there is not necessarily a correlation between the number of general proving tasks and the opportunities for students to engage in reasoning about arbitrary functions. Limitations and possible refinements of the framework are also discussed.

Place, publisher, year, edition, pages
CHARLES UNIV, FAC EDUC , 2015. p. 86-92
Keywords [en]
Mathematical proof, mathematics textbook, upper secondary school, undergraduate mathematics, integral calculus
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:mdh:diva-44545ISI: 000466853900007ISBN: 9788072908448 (print)OAI: oai:DiVA.org:mdh-44545DiVA, id: diva2:1330010
Conference
NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9)
Available from: 2019-06-25 Created: 2019-06-25 Last updated: 2019-06-25Bibliographically approved

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