Approaching concepts of linear algebra with discrete mathematics: a situation from ongoing mathematical research for freshmen

Cécile Ouvrier-Buffet (1, 2)

1 LDAR (URP_4434) - Laboratoire de Didactique André Revuz
2 UPEC INSPÉ Créteil - Institut national supérieur du professorat et de l'éducation - Académie de Créteil

Have you ever considered presenting concepts of linear algebra with objects and problems from discrete mathematics? This article provides such a situation. An epistemological analysis "à la Lakatos" of this situation is developed: it underscores how the discrete situation allows a mathematical experience for freshmen and contains interesting and even challenging material for all levels, including teachers, lecturers and research mathematicians. Productions of freshmen from scientific and non-scientific courses who face the situation are also analyzed through their defining processes.

Mots clés: Discrete mathematics; generating; minimality; definition; defining process

Domaines: Mathématiques [math]; Sciences de l'Homme et Société

Cécile Ouvrier-Buffet. Approaching concepts of linear algebra with discrete mathematics: a situation from ongoing mathematical research for freshmen. 2022. ⟨hal-03793651v1⟩