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Enseignement des premières notions de topologie à l'université - Une étude de cas.

Abstract : This research started with a failure observation in our classroom since several years concerning a topology teaching at first year of university. That is why our research aims to improve the describing teaching, maybe modify it, to achieve the topology knowledge delimited by the institution and the associated constraints. An epistemological study of the genesis and the development of topological concepts allowed us to clarify the characters of concepts, their function and their specificities. This study completed by an analysis of textbooks led us to build a teaching scenario that integrated didactical tracks to improve our topology teaching and the institutional constraints. The choosed theorical framework is theory of activity specified to mathematics. Thus we described our scenario in terms of tasks and expected activities from students. Then, the scenario was experimented in our classroom. The analysis of sequences in the classroom and students productions have shown a significant failure reduction for the manipulation of concepts definitions and the associated technical aspects. However we oberved a lack of availability with more complex tasks that are in relationship with the builded scenario. This research reveals the contribution of didactical analyses that precede an engeenering work. They enrich our understanding of the teaching concepts. Our work points also the major role of the institutional constraints to build and experiment a teaching scenario. They enrich our understanding of the teaching concepts. Our work points also the major role of the institutional constraints to build and experiment a teaching scenario.
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https://tel.archives-ouvertes.fr/tel-00660249
Contributor : Stéphanie Bridoux <>
Submitted on : Monday, January 16, 2012 - 11:41:40 AM
Last modification on : Monday, November 30, 2020 - 3:10:31 PM
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  • HAL Id : tel-00660249, version 1

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Stéphanie Bridoux. Enseignement des premières notions de topologie à l'université - Une étude de cas.. Education. Université Paris-Diderot - Paris VII, 2011. Français. ⟨tel-00660249⟩

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