Questioning definitions at university: the case of analysis

Autores

  • Carl Winsløw IND, Faculty of Science, University of Copenhagen, Denmark

DOI:

https://doi.org/10.23925/1983-3156.2019v21i4p142-156

Palavras-chave:

curve integrals, paradigm, mathematics education

Resumo

Résumé 

A la base d’un cas particulier, lié à la définition des intégrales curvilignes en analyse vectorielle, nous examinons un dessin modeste visant à réaliser le paradigme du « questionnement du monde » dans l’étude d’un certain type de définition en analyse, et plus généralement les conditions et contraintes rencontrés par ce paradigme dans l’enseignement supérieur des mathématiques.


Abstract

Based on a case study on task design related to the definition of curve integrals in vector analysis, we examine a modest design for realizing the paradigm of “questioning the world” in the study of a certain type of definition in mathematical analysis, and more generally, the conditions and constraints this paradigm meets in university mathematics education.

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Biografia do Autor

Carl Winsløw, IND, Faculty of Science, University of Copenhagen, Denmark

IND, Faculty of Science, University of Copenhagen, Denmark

Referências

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Winsløw C. (2012) A Comparative Perspective on Teacher Collaboration: The Cases of Lesson Study in Japan and of Multidisciplinary Teaching in Denmark. In G. Gueudet, B. Pepin, and L. Trouche (eds), From Text to 'Lived' Resources. Mathematics Teacher Education, vol 7. Dordrecht: Springer.

Winsløw, C. (2015). Mathematical analysis in high school: a fundamental dilemma. In C. Bergsten and B. Sriraman (Ed.), Refractions of Mathematics Education: Festschrift for Eva Jablonka (pp. 197-213). Charlotte, NC: Information Age Publ.

Winsløw, C., & Grønbæk, N. (2014). Klein’s double discontinuity revisited: contemporary challenges for universities preparing teachers to teach calculus. Recherches en Didactique des Mathématiques, 34(1), 59-86.

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Publicado

2019-06-11

Edição

v. 21 n. 4 (2019): El paradigma del cuestionamiento del mundo en la investigación y en la enseñanza

Seção

Finalizada -El paradigma del cuestionamiento del mundo en la investigación y en la enseñanza - 2019

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