On three kinds of mathematical activities, and what this means for schooling

Jérome Proulx, Laboratoire Épistémologie et Activité Mathématique - Université du Québec à Montréal

2022
Section : Articles



While developing his arguments on the loss of certainties in mathematics, Morris Kline (1980) outlines how historically it is possible to conceive of three complementary kinds of mathematical activities undertaken by mathematicians of varied and ancient civilizations, as well as in the work of contemporary mathematicians. In this paper, these three kinds of mathematical activities are outlined and thought through, in order to understand what they mean for mathematics in general and for mathematics in schools.


Related text(s) :
-Contributions mathématiques en didactique des mathématiques
-On possibilities of mathematical activities from the history of mathematics

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On three kinds of mathematical activities, and what this means for schooling