The external didactic transposition of mathematics at the university level: dilemmas and challenges<br>La transposition didactique externe des mathématiques au niveau universitaire: dilemmes et défis

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DOI:

https://doi.org/10.23925/1983-3156.2020v22i4p373-386

Palavras-chave:

anthropological theory of the didactic, external didactic transposition, mathematics at the university level

Resumo

Résumé

Nous développons l’idée que la recherche en didactique des mathématiques au niveau universitaire devrait étudier d’une manière plus systématique la transposition didactique externe. Après avoir présenté sommairement la recherche qui semble aller dans cette direction, nous commentons pourquoi et comment cette ligne pourrait se poursuivre dans la recherche en TAD sur l’enseignement universitaire.

Mots -clés : Théorie anthropologique de la didactique, Transposition didactique externe, Mathématiques au niveau universitaire.

Abstract

We develop the idea that research on university mathematics education needs to more systematically address the external didactic transposition. After outlining existing research that goes more or less in this direction, we comment on the why and how this direction could be pursued by ATD research on UME.

Keywords: Anthropological theory of the didactic, External didactic transposition, Mathematics at the university level.

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Referências

Barquero, B., Bosch, M. and Gascón, J. (2013). The ecological dimension in the teaching of mathematical modelling at university. Recherches en Didactique des Mathématiques 33, 307–338.

Bosch, M. and Winsløw, C. (2016). Linking problem solving and mathematical contents: the challenge of sustainable study and research processes. Recherches en Didactique des Mathématiques 35 (3), 357-401.

Burton, L. (2004). Mathematicians as Enquirers: Learning about Learning Mathematics. Dordrecht: Kluwer.

Chevallard, Y. (1991). La Transposition didactique: du savoir savant au savoir enseigné (2nd. edition). Grenoble: La Pensée Sauvage.

Chevallard, Y. (2002). Organiser l’étude 3. Écologie & régulation. In Dorier, J. L. et al. (Eds.), Actes de la 11e école de didactique des mathématiques. Grenoble: La Pensée Sauvage.

Dorier, J. L. (Ed., 2000). On the teaching of linear algebra. Dordrecht: Kluwer.

Ganter, S. (Ed., 2000). Calculus renewal: issues for undergraduate mathematics education in the next decade. New York: Kluwer.

Huntington, H. (2015). A historical analysis of the mathematics major requirements at six colleges in the United States from 1905 to 2005. Ph.D.-thesis, University of Columbia. On-line at https://academiccommons.columbia.edu/catalog/ac:187818.

Klein, F. (1908/2016). Elementary Mathematics from a higher standpoint, vol. 3: Precision mathematics and approximation mathematics. Berlin: Springer.

Lavicza, Z. (2007). Factors Influencing the Integration of Computer Algebra Systems into University-Level Mathematics Education. International Journal for Technology in Mathematics Education, 14(3), 121-129.

Madsen, L. and Winsløw, C. (2009). Relations between teaching and research in physical geography and mathematics at research-intensive universities. International Journal of Science and Mathematics Education 7, 741-763.

Niss, M. and Højgaard, T. (to appear). Mathematical competencies in mathematics education. Springer, in press.

Petosz, P. and Reid, A. (2005). Rethinking the tertiary mathematics curriculum, Cambridge Journal of Education, 35(1), 89-106.

Robert, A. and Speer, N. (2001). Research on the teaching and learning of Calculus/elementary Analysis. In D. Holton (Ed), The teaching and learning of mathematics at university level, an ICMI study (pp. 283-299). Springer.

Tucker, A. (2013). The History of the Undergraduate Program in Mathematics in the United States. The American Mathematical Monthly 120 (8), 689-705.

Tuning Project (2007). Tuning educational structures in Europe: reference points for the design and delivery of degree programmes in mathematics. On-line at http://www.unideusto.org/tuningeu/images/ stories/key_documents/tuningmathematicsfinal.pdf

Verret, M. (1975). Le temps des études. Paris: Honoré Champion.

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

Winsløw, C., Gueudet, G., Hochmut, R. and Nardi, E. (to appear). Research on university mathematics education. In T. Dreyfus, M. Artigue, D. Potari, S. Prediger & K. Ruthven (Eds.). Developing Research in Mathematics Education: Twenty Years of Communication, Cooperation and Collaboration in Europe. London: Routledge.

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Publicado

2020-09-15

Edição

v. 22 n. 4 (2020)

Seção

Finalizada - Volume 22 - 4 - Advances of the anthropological theory of the didactic

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