Secondary-Tertiary transition : Didactic analysis of diophantine equations resolution

Juliette Coutens

Date(s) : 09/02/2023   iCal
17 h 00 min - 18 h 30 min

Diophantine equations are equations of the form ax+by=c with a,b,c,x,y integers. This exercise is studied during the last year of high school in advanced mathematics for the scientific class and during the first year of university. This exercice has been our tool to study the secondary-tertiary transition. We observed some disparities between the learning methods of these two different institutions. Our study is organized into mathematical and institutional analysis of the exercise of solving diophantine equations and by the analysis of a sample of 74 papers of an exam. This exam was given to student in the first semester of their first year of university in 2017 in the University Claude Bernard (Lyon 1). The exercise that we studied was entirely well done by only a few students (here, we say that the exercise is well done if we can observe the presence of the mathematical tools expected and if they are well used). As this work is about an exam given in 2017, the analyses are included in the context of the old baccalauréat. However, the results are still quite relevant as the mathematical objects in question are still in the program of the « maths expertes » speciality.

Le séminaire des doctorant⋅es de l’I2M et du CPT à Luminy regroupe chaque semaine les doctorant⋅es du site autour d’un exposé plus ou moins (in)formel, dans un cadre convivial. Il est évidemment ouvert aux étudiant⋅es de master et aux doctorant⋅es d’autres laboratoires.

C’est au rez-de-chaussée du bâtiment de « l’ancienne BU », dans la salle « Séminaire 2 » (au fond à gauche en sortant de l’escalier si vous venez de l’étage, au fond à droite si vous entrez par le rez-de-chaussée). Attention : l’entrée dans le labo nécessite un badge. En cas de souci (de type : être bloqué⋅e dehors), appeler le 04 91 26 95 91.

Site Sud, Luminy, Ancienne BU, Salle Séminaire2 (RdC)


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