An institutional approach to university mathematics education: from dual vector spaces to questioning the world

Carl Winsløw, Berta Barquero, Martine De Vleeschouwer, Nadia Hardy

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

19 Citationer (Scopus)

Abstract

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.
OriginalsprogEngelsk
TidsskriftResearch in Mathematics Education
Vol/bind16
Udgave nummer2
Sider (fra-til)95-111
ISSN1479-4802
DOI
StatusUdgivet - 2014

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