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The functions of function discourse: university mathematics teaching from a commognitive standpoint
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.ORCID iD: 0000-0002-4909-1914
2014 (English)In: International journal of mathematical education in science and technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 45, no 4, p. 512-527Article in journal (Refereed) Published
Abstract [en]

This paper addresses a topic within university mathematics education which has been somewhat underexplored: the teaching practices actually used by university mathematics teachers when giving lectures. The study investigates the teaching practices of seven Swedish university teachers on the topic of functions, using a discursive approach, the commognitive framework of Sfard. In the paper a categorization of the construction and substantiation routines used by the teachers is presented, for instance various routines for constructing definitions and examples, and for verifying whether an example satisfies a given definition. The findings show that although the overall form of the lectures is similar, with teachers using “chalk talk”, and overt student participation limited to asking and answering questions, there are in fact significant differences in the way the teachers present and do mathematics in their lectures. These differences present themselves both on the level of discursive routines and on a more general level, in how the process of doing mathematics is made visible in the teachers’ teaching practices. Moreover, I believe that many of the results of the study could be relevant for investigating the teaching of other mathematical topics.

Place, publisher, year, edition, pages
2014. Vol. 45, no 4, p. 512-527
Keywords [en]
mathematics, university education, commognitive framework, function, discourse, teaching
National Category
Didactics
Identifiers
URN: urn:nbn:se:hig:diva-15982DOI: 10.1080/0020739X.2013.855328Scopus ID: 2-s2.0-84899898319OAI: oai:DiVA.org:hig-15982DiVA, id: diva2:686012
Available from: 2014-01-10 Created: 2014-01-10 Last updated: 2018-03-13Bibliographically approved

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Viirman, Olov

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf