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On a generality framework for proving tasks
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-8520-8200
2015 (English)In: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education / [ed] Konrad Krainer; Nada Vondrova, 2015, 86-92 p.Conference 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
2015. 86-92 p.
Keyword [en]
Mathematical proof, mathematics textbook, upper secondary school, undergraduate mathematics, integral calculus
National Category
Other Mathematics Didactics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-50494ISBN: 978-80-7290-844-8 (print)OAI: oai:DiVA.org:oru-50494DiVA: diva2:931919
Conference
Ninth Congress of European Research in Mathematics Education (CERME 9), Prague, Czech Republic, February 4-8, 2015
Available from: 2016-05-31 Created: 2016-05-31 Last updated: 2017-10-17Bibliographically approved

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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
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Language
  • de-DE
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