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Discursive practices of two university teachers on the concept of ’linear transformation’
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science. University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
2011 (English)In: Developing mathematical thinking: Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education, PME , 2011, Vol. 4, p. 311-320Conference paper, Published paper (Refereed)
Abstract [en]

This paper reports on an ongoing study focusing on the teaching of functions in undergraduate courses in mathematics at three Swedish universities. In this paper two excerpts of lectures on linear transformations are analysed, using commognitive theory. The two teachers' discursive uses of the terms 'linearity' and 'linear transformation' are described, and potential consequences for student learning are presented. One lecture displays a strong mathematical content while lacking contextualization, while the other is well grounded in everyday experience, but with a lack of attention to mathematical detail potentially detrimental to student learning.

Place, publisher, year, edition, pages
PME , 2011. Vol. 4, p. 311-320
Series
PME Conference Proceedings, ISSN 0771-100X
Keywords [en]
mathematics education, function concept, university mathematics, teaching, discursive theory, commognition
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-31202ISI: 000343399800040ISBN: 978-975-429-262-6 (print)ISBN: 978-975-429-298-5 (print)OAI: oai:DiVA.org:kau-31202DiVA, id: diva2:699303
Conference
35th Annual Conference of the International-Group-for-the-Psychology-of-Mathematics-Education (PME), Ankara, Turkey, July 10-15, 2011
Available from: 2014-02-27 Created: 2014-02-05 Last updated: 2016-08-09Bibliographically approved
In thesis
1. The function concept and university mathematics teaching
Open this publication in new window or tab >>The function concept and university mathematics teaching
2014 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns the teaching of mathematics at university level, with a particular focus on the teaching of the function concept. The main aim of the thesis is describing and analysing the teaching practices of university mathematics teachers regarding the function concept, and how this concept is constituted through these practices. To this end, video recordings of lectures by seven mathematics teachers at three Swedish universities were analysed using a discursive perspective, Sfard’s commognitive framework. The observed teaching was traditional in form, with teachers using “chalk talk” – simultaneously talking and writing on the board. The results show that the teaching practices of the teachers belong to two distinct but intertwined discourses – a mathematical discourse, and a discourse of mathematics teaching. Classifications of important aspects of these discourses are presented, and it is found that the teachers’ discursive practices, while sharing overall form, still display considerable differences. Other results include an analysis of the levels of objectification displayed by the teachers in their discursive constitution of the function concept. The study contributes to a small but growing body of empirical research on university mathematics teaching practice.

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2014. p. 100
Series
Karlstad University Studies, ISSN 1403-8099 ; 2014:12
Keywords
mathematics, university education, commognitive framework, function concept, discourse, teaching
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-31205 (URN)978-91-7063-543-4 (ISBN)
Public defence
2014-03-21, 99:133, Hus Freja, Högskolan i Gävle, Gävle, 13:00 (English)
Opponent
Supervisors
Available from: 2014-02-27 Created: 2014-02-05 Last updated: 2015-12-29Bibliographically approved

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Viirman, Olov

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf