In Mathématiques en scène des ponts entre les disciplines. Paris, France: pp. 246-255 (2018)

Authors
Francoise Monnoyeur
Centre Jean Pepin - CNRS - Paris (France)
Abstract
Résumé – Nous nous intéressons à l’enseignement et l’apprentissage de l’infini en classe de mathématiques en considérant les différences et les relations entre infini potentiel et infini actuel. Nous présentons les principaux éléments de notre étude philosophique, épistémologique et didactique, ainsi que trois situations visant à conduire un travail explicite avec les élèves sur ces questions en début de lycée. ------------------------------------------------------------------------------------------------------------------------------------- Abstract – We are interested in the teaching and learning of infinite in mathematics class, taking into account the relations between potential infinite and actual infinite. We report the main elements of our current philosophical, epistemological and didactical study; we also present three mathematical situations that we consider relevant for this purpose and to be explored with 10 and 11 grade students.
Keywords infinite
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