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On a generality framework for proving tasks
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- Bergwall, Andreas, 1972- (author)
- Mälardalens högskola,Örebro universitet,Institutionen för naturvetenskap och teknik,Utbildningsvetenskap och Matematik,Örebro Univ, Örebro, Sweden
- (creator_code:org_t)
- Prague : Charles University in Prague, Faculty of Education and ERME, 2015
- 2015
- English.
- In: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education. - Prague : Charles University in Prague, Faculty of Education and ERME. - 9788072908448 ; , s. 86-92
- Conference paper (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences (hsv//eng)
Keyword
- Mathematical proof
- mathematics textbook
- upper secondary school
- undergraduate mathematics
- integral calculus
- Mathematics
- Matematik
Publication and Content Type
- ref (subject category)
- kon (subject category)
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