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What we talk about when we talk about functions: Characteristics of the function concept in the discursive practices of three university teachers
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics. Karlstad University.ORCID iD: 0000-0002-4909-1914
2013 (English)In: Proceedings of the eighth congress of the European mathematical society for research in mathematics education, 2013, p. 2466-2475Conference paper, Published paper (Refereed)
Abstract [en]

The study reported in the present paper forms part of an ongoing project regarding the teaching of functions in undergraduate courses at three Swedish universities. The theoretical framework underlying the project is Sfard’s commognitive theory. In the present study, three lectures in calculus from two different universities are analyzed, focusing on the characterizations of the function concept presented by the discursive practices of the teachers. All three teachers are found to make extensive use of the principle of variation, but differences are found for instance in the emphasis put on different realizations of functions, and on the role of domain and range. Also, according to the type of content of the lectures, differences between more process-oriented and more object-oriented discourses of functions can be seen.

Place, publisher, year, edition, pages
2013. p. 2466-2475
Keywords [en]
Functions, Discourse, Teaching, Tertiary mathematics, Commognitive theory
National Category
Didactics
Identifiers
URN: urn:nbn:se:hig:diva-25712OAI: oai:DiVA.org:hig-25712DiVA, id: diva2:1161727
Conference
CERME8, The eighth congress of the European mathematical society for research in mathematics education, 6th to 10th February, 2013, Manavgat-Side, Antalya, Turkey
Available from: 2017-11-30 Created: 2017-11-30 Last updated: 2018-03-13Bibliographically approved

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Viirman, Olov

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Citation style
  • apa
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  • ieee
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Language
  • sv-SE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
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Output format
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  • text
  • asciidoc
  • rtf