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Abstract Algebra, Mathematical Structuralism and Semiotics
Acte de colloque   Open Access

Abstract Algebra, Mathematical Structuralism and Semiotics

Thomas Hausberger
Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education, pp.2145-2151
CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education (Prague, Czech Republic, 04/02/2015–08/02/2015)

Résumé

Mathematical structuralism Semiotics Mathematics education Abstract algebra
We report in this paper on our attempt to help students reflect on the axiomatic method in mathematics and structuralist thinking through a didactically-engineered activity, as a lever to tackle the issue of the learning of abstract algebra. It sheds light into the cognitive processes involved in the conceptualization of an abstract algebraic structure, which are discussed in a semiotics framework.

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