On the concept of (homo)morphism : a key notion in the learning of abstract algebra

Thomas Hausberger (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

This article is dedicated to the investigation of difficulties involved in the understanding of the homomorphism concept. It doesn't restrict to group-theory but on the contrary raises the issue of developing teaching strategies aiming at gaining access to structuralist thinking. Emphasis is put on epistemological analysis and its interaction with didactics in an attempt to make Abstract Algebra more accessible.

Mots clés: University mathematics education; abstract algebra; epistemology and didactics; mathematical structuralism

Domaines: Education; Histoire et perspectives sur les mathématiques [math.HO]

Thomas Hausberger. On the concept of (homo)morphism : a key notion in the learning of abstract algebra. Eighth Congress of European Research in Mathematics Education, Feb 2013, Antalya, Turkey. ISBN 978-975-429-315-9, pp. 2346-2355. ⟨hal-00798327v2⟩