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ERIC Number: EJ1091376
Record Type: Journal
Publication Date: 2014
Pages: 17
Abstractor: As Provided
ISSN: ISSN-1479-4802
An Institutional Approach to University Mathematics Education: From Dual Vector Spaces to Questioning the World
Winsløw, Carl; Barquero, Berta; De Vleeschouwer, Martine; Hardy, Nadia
Research in Mathematics Education, v16 n2 p95-111 2014
University mathematics education (UME) is considered, in this paper, as a kind of "didactic practice"--characterised by institutional settings and by the purpose of inducting students into "mathematical practices." We present a research programme -- the anthropological theory of the didactic (ATD)--in which this rough definition can be made much more precise; we also outline some cases of ATD-based research on UME. Three cases are presented in more detail. The first is a theoretical and empirical study of the topic of "dual vector spaces," as it appears in undergraduate courses on linear algebra. The second case concerns a similar study of the practices and theories on "limits of functions" which students may develop in calculus courses. Finally, a third study illustrates the use of ATD to design and experiment innovative approaches to mathematical modelling in the setting of a first mathematics course for engineering students.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A