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On a generality framework for proving tasks
Örebro universitet, Institutionen för naturvetenskap och teknik.ORCID-id: 0000-0002-8520-8200
2015 (Engelska)Ingår i: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education / [ed] Konrad Krainer; Nada Vondrova, Prague: Charles University in Prague, Faculty of Education and ERME , 2015, s. 86-92Konferensbidrag, Publicerat paper (Refereegranskat)
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.

Ort, förlag, år, upplaga, sidor
Prague: Charles University in Prague, Faculty of Education and ERME , 2015. s. 86-92
Nyckelord [en]
Mathematical proof, mathematics textbook, upper secondary school, undergraduate mathematics, integral calculus
Nationell ämneskategori
Annan matematik Didaktik
Forskningsämne
Matematik
Identifikatorer
URN: urn:nbn:se:oru:diva-50494ISBN: 978-80-7290-844-8 (tryckt)OAI: oai:DiVA.org:oru-50494DiVA, id: diva2:931919
Konferens
Ninth Congress of European Research in Mathematics Education (CERME 9), Prague, Czech Republic, February 4-8, 2015
Tillgänglig från: 2016-05-31 Skapad: 2016-05-31 Senast uppdaterad: 2018-03-06Bibliografiskt granskad

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Bergwall, Andreas

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