JAPAN-FRANCE CROSS-CULTURAL RESEARCH ON STUDENTS' ACTIVITIES IN GEOMETRICAL PROBLEM SOLVING BY USING CABRI-GEOMETRY

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characteristics of students' activities in geometrical problem solving by using Cabri-Geometry from viewpoint of Japan-France cross-cultural research.For the purpose, we made four didactical experiments with junior high school students.Experiment 1 : Problem solving by using Paper-Pencil in pairsExperiment 2 : Problem solving by using Gabri-Geometry in pairsExperiment 3 : Problem solving by using Paper-Pencil in individuallyExperiment 4 : Problem solving by using Cabri-Geometry in individuallyThe main conclusions are as follows :(1) In drawing of figure, the students who used paper-pencil tended to draw the figure based on 'perceptive' recognitions for geometrical figures.(2) In proving of proposition, most of all the students who used Cabri-Geometry produced valid inferences based on 'operative' or 'discursive' recognitions for geometrical figures.(3) In problem solving in pairs, there was a tendency to modify their inadequate judgments and inferences based on 'perceptive' recognitions for geometrical figures through their social interactions.(4) It seems that most of all Japanese students had a prototype example of parallelograms and the prototype example depended on the Japanese culture.