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Des recherches qui articulent calculus et analyse
Schneider-Gilot, Marguerite
2016In Enjeux et débats en didactique des mathématiques
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Keywords :
reference epistemological model; “modelling” praxeology; “deduction” praxeology; magnitude; functional modelling
Abstract :
[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 :
Ladimath
Disciplines :
Mathematics
Author, co-author :
Schneider-Gilot, Marguerite ;  Université de Liège > Département de mathématique > Didactique des sciences mathématiques
Language :
French
Title :
Des recherches qui articulent calculus et analyse
Publication date :
October 2016
Event name :
18eme Ecole d'été de didactique des mathématiques
Event organizer :
ARDM
Event place :
Brest, France
Event date :
Août 2015
By request :
Yes
Audience :
International
Main work title :
Enjeux et débats en didactique des mathématiques
Publisher :
La pensée sauvage, Grenoble, France
Edition :
Ouvrage
ISBN/EAN :
9782859193157
Pages :
19-45
Peer reviewed :
Peer reviewed
Funders :
ULiège - Université de Liège [BE]
Available on ORBi :
since 09 January 2016

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