[en] A certain way of thinking the articulation between research and development calls in favor of a schizophrenic posture for the researcher who cannot play his role without explaining his reference to a given epistemological model. Two levels of praxeology, namely 'modelling' and 'deduction', thought at curriculum level, are descriptive tools for the epistemological model of reference which comes here in play, a model which enables a certain link to be established between calculus and analysis. The praxeologies “magnitude” and 'functional modelling' structure the first level which is justified by taking into consideration learning obstacles of which many are explained in the light of the empiricist obstacle. “Development” tools follow from this research, situated between heuristic approach and deductive islands.
Research Center/Unit :
Ladimath
Disciplines :
Mathematics
Author, co-author :
Schneider-Gilot, Marguerite ; Université de Liège > Département de mathématique > Didactique des sciences mathématiques