Traditions et réformes de l’enseignement des mathématiques à l’époque des ‘mathématiques modernes’ : le cas de la Hongrie et de la France

Abstract : In my thesis, I compare the reform of mathematics education introduced by Tamás Varga in Hungary during the 1960s and ‘70s to the French reform of the period, the “mathématiques modernes”. After studying the historical context, and the epistemological background of the reforms, I analyse them using different didactical frameworks: the structure and the content of the curricula with the help of the ecological approach and on the notion of paradigms of geometry and of probability; for the analysis of the expected teaching practices, the theory of didactical situations. The comparative study shows that even if some common elements, coming probably from the common international context can be found, some essential differences can also be observed between the two reforms. These differences can partly be explained by differences in the epistemological background: the “bourbakian” approach on one hand, the “heuristic” on the other serve as mathematical paradigms, influencing different characteristics of the two reforms. A comparison of Varga’s and Brousseau’s experimental project from the 1970s using the terms of the TDS contribute to a better description of Varga’s conception but lead in the same time to questioning the transmissibility of didactical theories from one context to the other.
Complete list of metadatas

Cited literature [148 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/tel-01766902
Contributor : Katalin Gosztonyi <>
Submitted on : Saturday, April 14, 2018 - 4:56:55 PM
Last modification on : Friday, June 14, 2019 - 1:26:15 AM

Identifiers

  • HAL Id : tel-01766902, version 1

Collections

Citation

Katalin Gosztonyi. Traditions et réformes de l’enseignement des mathématiques à l’époque des ‘mathématiques modernes’ : le cas de la Hongrie et de la France . Histoire et perspectives sur les mathématiques [math.HO]. Université Paris Diderot - Paris 7; University of Szeged, 2015. Français. ⟨tel-01766902⟩

Share

Metrics

Record views

332

Files downloads

437