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Communication Dans Un Congrès Année : 2023

From real to abstract analysis: the development of structuralist praxeologies in the analysis path

Résumé

This article is a continuation of Winsløw’s work on the concrete to abstract transition in analysis and Hausberger’s work on structuralist praxeologies, developed in the paradigmatic context of abstract algebra. It aims at giving a foundation to the notion of structuralist praxeology in analysis. After a brief epistemological study of abstract analysis, we discuss the praxeological analyses of excerpts from a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics.
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hal-04406694 , version 1 (19-01-2024)

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  • HAL Id : hal-04406694 , version 1

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Thomas Hausberger, Reinhard Hochmuth. From real to abstract analysis: the development of structuralist praxeologies in the analysis path. Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest, Jul 2023, Budapest, Hungary. ⟨hal-04406694⟩
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