Development research on conjectures / proof in math. By cabri

通过合作研究，两国如何在学校几何中使用软件？在使用软件时发现了什么样的效果？在西班牙举行的数学、教育国际会议和在芬兰举行的数学教育心理学国际会议上进行了报告。然后分析了法国和日本在学生解决证明问题时在认知方面的差异。以下是在日本发现的研究结果。在几何解题过程中，学生通过计算机软件CABRI-GEOMETRY探索活动，自己发现几何图形和几何理论的特点。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非常感兴趣。作为这些研究的结果，野田教授和中山教授主编的日语教材《初中卡布里几何》于1996年出版。并制作了清水和龟原制作的用于课堂使用该软件的几何课程素材的软盘，分发给学校教师。这本书和这些资料对学校教师来说是很有帮助的，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.