Surface features,representations and tutorial interventions in mathematical problem solving |
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| Authors: | Jean Julo |
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| Institution: | 1. CCAFE/IREM, Université Rennes I, Campus de Beaulieu, 35042, Rennes cedex, France
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| Abstract: | The concept of instability of representation, which has developed from observing pupils who experience difficulties whilst performing complex tasks, is used to measure the impact of a certain number of hints given in order to help solve mathematical problems. The purpose of these hints is to neutralize the effect of superficial elements of information and to anchor the representation which the subject forms of the problem to be solved. The hints used in the experiments fall into two categories: the simultaneous presentation of several variants of the problem, and the accomplishment of recognition tasks in the course of the solving process. The possibility of intervening during the cognitive functioning of the pupil by allowing him maximum autonomy in his choice and application of the solving process is questioned both from a didactic and a psychological point of view. |
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