Abstract Algebra, Mathematical Structuralism and Semiotics

Abstract : 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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Communication dans un congrès
Konrad Krainer; Naďa Vondrová. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Feb 2015, Prague, Czech Republic. pp.2145-2151, Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education
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Soumis le : mardi 15 mars 2016 - 13:05:17
Dernière modification le : jeudi 6 juillet 2017 - 10:47:21
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Thomas Hausberger. Abstract Algebra, Mathematical Structuralism and Semiotics. Konrad Krainer; Naďa Vondrová. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Feb 2015, Prague, Czech Republic. pp.2145-2151, Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education. <hal-01288598>

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