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Praxeological analysis: The case of ideals in Ring Theory
Acte de colloque

Praxeological analysis: The case of ideals in Ring Theory

Julie Jovignot, Thomas Hausberger et Viviane Durand-Guerrier
PROCEEDINGS OF THE TENTH CONGRESS OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME10), pp.2113-2120
01/01/2017

Résumé

Education & Educational Research Education, Scientific Disciplines Mathematics Physical Sciences Science & Technology Social Sciences
The importance of studying structuralist praxeologies has been highlighted by Hausberger (2016). In this communication, we illustrate it on the case of ideals in Ring Theory. We provide a detailed study of a proof extracted from a textbook in Abstract Algebra showing that structuralist praxeologies involve interplay between intertwined algebraic, set-theoretic and logical praxeologies, revealing a hidden complexity.

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