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Extra resources for Educational Studies in Mathematics - Volume 59
58 G. BROUSSEAU AND P. M. : 1975, Towards an analysis of discourse. The English used by teachers and pupils, Oxford University Press. : 1974, Recherches sur le discours et l’argumentation, Droz. : 1982, De la logique a` l’argumentation, Droz. B. : La contradiction. Essai sur les op´erations de la pens´ee, Paris, Presses Universitaires de France. : 1993, De l’importance du vrai et du faux dans la classe de math´ematiques, La Pens´ee Sauvage, Grenoble. Margolinas, C. : 1994, Double analyse d’un e´ pisode: Cercle e´ pist´emologique et structuration du milieu, Vingt ans de Didactique des Math´ematiques en France, La Pens´ee Sauvage, Grenoble, 240–257.
Calculation of the hypothetical unit price of a pass at the highest rate. The total expense is obtained by the use of proportionality. The price of a pass is obtained by dividing the price of the group pass for 6 by 6. DIDACTICAL HANDLING OF STUDENTS’ REASONING PROCESSES 37 38 G. BROUSSEAU AND P. GIBEL – The students do not possess the necessary knowledge to conceive of the basic strategies. – The students cannot obtain, as feedback to their actions, the information necessary for the solution of the problem.
Another student: To see which one was the least expensive. No. Min. 21 The teacher wishes to make Julien aware of the fact that the calculations were not necessary, that a reasoning could help to avoid doing calculations. Comments TABLE II (Continued) Didactical intention: reject the calculations by making them appear as useless, redundant, with respect to the previously established conclusion (Module 2). Analysis Call for a judgement of the relevance or adequacy of a calculation. 15. Accord Effectiveness of an action.