Un élargissement du champ de fonctionnement de la numération : étude didactique du processus. Recherches en Didactique des Mathématiques

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1985

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Annie Bessot et al., « Un élargissement du champ de fonctionnement de la numération : étude didactique du processus. Recherches en Didactique des Mathématiques », HAL SHS (Sciences de l’Homme et de la Société), ID : 10670/1.abe5a9...


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The present article concerns the conditions under which the concept of numeration appears and develops in the minds of second year primary school children. Brousseau's Théorie des situations was used as a framework for setting up a learning procedure which would help children to broaden the range of problems to which numeration is applicable. The procedure consists of a communication game entitled « Who's got the largest number ? ». Analysis of the results obtained, coupled with a priori theoretical analysis, shows that : child strategies evolve and that this evolution can be interpreted as changes in their level of knowledge; this evolution is caused by the interplay of fixed and active variables particular to the situation ; certain teacher decisions, notably those involving knowledge institutionalisation, play an important role in explaining the phenomena observed.

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