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