Study of a problem solving using the extended mathematical working space framework (extended MWS)
Résumé
The aim is to show the analysis of a problem solving using the theoretical framework of the extended mathematical workspace (Extended MWS) and the Blum and Leiss modeling cycle with a multidisciplinary approach (contribution of physics and mathematics). This problem-solving study the possibility of producing an intense magnetic field using a wire winding for use in a medical imaging device for example. The fields of electromagnetism and calorimetry are used in physics and that of algebra in mathematics. The extended MWS framework makes it possible to analyze academic tasks by considering the relationships between the cognitive plane of students, the epistemological plane of mathematics and that of physics. The whole activity proposed to grade 12 students in France can be described by three successive complete modelling cycles. The articulation of the different planes is studied according to the stage of the modelling cycle.