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Seminar “Variations in History and Didactics of Mathematics”

Luc Trouche and Luxizi Wang take part in this study day devoted to the study of variations in ancient texts and current teaching practices

This study day, the second on this theme, will focus on variations in ancient texts as well as in current teaching practices. First, we will tackle the question of variations from the point of view of historical analyzes, in the series of problems, an approach developed in particular within the framework of the HASTEC project. It will be a question, with Alain Bernard, of the way in which these problems comprising variations have led the project to develop various methodologies to historically analyze the texts in the particular context of the series of problems. The example of Clairaut’s Elements of Geometry will be discussed. Katalin Gosztonyi analyzes the implicit structuring of ordered series of problems in the Hungarian approach to teaching on the one hand, she carried the analysis in the history of teaching to a working group with teachers inspired by Varga , in relation to their practices series of problems on the other hand. By studying the way in which teachers who follow this approach organize their trajectories, she develops tools to access their implicit choices, at the crossroads of history and the analysis of practices. Different approaches to the variations encountered in didactics will be presented by Luxizi Zhang around Chinese and French practices, on a theoretical level and in connection with teaching practices. Luc Trouche will bring together different points of view of analysis of variations in a summary communication which will allow methodological and theoretical reflection, while making the link with practice; tackling the question of variation, the relations of teachers to resources.

Luxizi Zhang, (ENS de Lyon, S2HEP and ECNU, Shanghai). From potential variations to practical variations in the teaching of functions through a series of problems: contrasting approach of the Chinese and French cases.

Luc Trouche (French Institute of Education, ENS de Lyon, S2HEP). The variations at the heart of the professor’s documentary work

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