An Institutional Approach to University Mathematics Education: From Dual Vector Spaces to Questioning the World

Autor/inn/en	Winsløw, Carl; Barquero, Berta; De Vleeschouwer, Martine; Hardy, Nadia
Titel	An Institutional Approach to University Mathematics Education: From Dual Vector Spaces to Questioning the World
Quelle	In: Research in Mathematics Education, 16 (2014) 2, S.95-111 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1479-4802
DOI	10.1080/14794802.2014.918345
Schlagwörter	Mathematics Education; College Mathematics; Educational Strategies; Educational Practices; Case Studies; Research Projects; Undergraduate Study; Algebra; Calculus; Educational Theories; Educational Innovation; Mathematical Models; Instructional Design; Teaching Methods + Suchen Sie Ihr Suchwort? Mathematische Bildung; Lehrstrategie; Bildungspraxis; Case study; Fallstudie; Case Study; Forschungsvorhaben; Grundstudium; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Educational theory; Theory of education; Bildungstheorie; Instructional innovation; Bildungsinnovation; Mathematical model; Mathematisches Modell; Lesson concept; Lessonplan; Unterrichtsentwurf; Teaching method; Lehrmethode; Unterrichtsmethode
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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01