Development research on conjectures / proof in math. By cabri

通过合作研究“如何在两国的学校几何中使用软件？”在西班牙举行的国际数学、教育会议和芬兰举行的数学教育心理学会议上，研究人员报告了使用软件会产生什么样的影响。然后发现法国和日本在学生解决证明问题的认知方面存在差异。以下是在日本发现的研究结果。在解决几何问题的过程中，学生通过计算机软件“Cabri-Geometry”的探索活动，自己发现图形的特点和几何理论。然后他们试图找出这些特征和定理产生的原因。学生们对这种证明方法很感兴趣。作为这些研究的成果，1996年出版了由野田教授和中山教授编著的《日本初中几何》教科书。并由清水和木原制作了用于课堂教学的几何课程材料样本，制作成软盘分发给学校教师。这本书和这些资料对学校教师有很大的帮助，这项研究一定会为科学技术和信息化社会的教育进步做出贡献。

Through collaborative research the results of "how to use software in school geometry in both countries? and what kinds of effects are found in using software?" were reported at the International conference of Mathematics, Education held in Spain and Psychology of Mathematics Education held in Finland. Then the difference between France and Japan on the cognitive aspects when students solved the proof problems was found. The following results of research was found in Japan. On the process of problem solving in geometry, students find the characteristics of figures and theory of geometry by themselves after exploring activities with computer software "Cabri-Geometry". And then they tried to find the reason why these characteristics and theorems come from. This approach for proof is very interested by students.As the results of these research a Japanese text book for using Cabri-Geometry in Junior high school edited by Professor Nohda and Nakayama was published in 1996. And samples of materials of geometry course to use this software in class were produced in floppy disk by Shimizu and Kakihara and distributed to school teachers. This book and these materials are very helpful for school teachers and this research must contribute the progress of education in science, technology and informationalized society.