Interactions mathématiques-physique dans l''enseignement secondaire
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Le programme actuel de math�matiques de la classe de terminale scientifique incite les professeurs de math�matiques et de physique � mener un travail conjoint sur les �quations diff�rentielles. Cela nous a conduit � nous int�resser � l''articulation des enseignements de ce sujet dans les deux disciplines. Pour ce faire, nous avons choisi de caract�riser la viabilit� de la synergie entre les math�matiques et la physique en termes de continuit� didactique. Quelques questions: Une continuit� didactique entre ces deux disciplines existe-t-elle, et si oui, sous quelle forme? La m�thode d''Euler constitue-t-elle un champ propice? Comment les enseignants per�oivent-ils et mettent-ils en oeuvre cette continuit� didactique? Notre recherche a montr� que la continuit� didactique est loin d''�tre assur�e dans les faits et se heurte � de nombreuses difficult�s, comme l''analyse des manuels scolaires le met particuli�rement en �vidence. De plus, la fa�on dont est trait�e la m�thode d''Euler permet de constater que les deux enseignements s''ignorent, et vont m�me jusqu''� donner l''impression qu''il y a en r�alit� deux m�thodes d''Euler diff�rentes, selon la discipline.
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