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Les apprentissages traités sont relatifs aux nombres, à la numération, au calcul, aux grandeurs et à leur mesure ainsi qu'à la résolution de problèmes.
Une première partie est consacrée à l'explicitation des fondements théoriques et des choix didactiques qui sous-tendent les propositions d'enseignement.
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- explicitation et justification des choix d'enseignement replacés dans une perspective historique ;
description commentée des activités et de leur mise en oeuvre, à partir des expérimentations conduites dans des classes pendant plusieurs années.
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- l'appropriation progressive des connaissances numériques à travers des situations de résolution de problèmes ;
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