Development research on conjectures / proof in math. By cabri

数学猜想/证明的发展研究。

• 批准号: 07551014
• 负责人: NOHDA Nobuhiko
• 金额: $ 1.79万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (A)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1997
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07551014/
• 关键词: Cabri-Geometry; Curriculum Study; Computer; 学校数学; カリキュラム; 論証指導; 日仏共同研究; Cabri-Geometry; Curriculum Study; Computer; 学校数学; カリキュラム; 論証指導; 日仏共同研究

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.

通过协作研究，“如何在两个国家 /地区使用软件在学校几何形状中使用软件？在使用软件中发现哪些效果？”在国际数学会议上，在西班牙举行的教育以及在芬兰举行的数学教育的教育。然后，当学生解决了证明问题时，法国和日本在认知方面之间的差异。在日本发现了以下研究结果。在几何形状解决问题的过程中，学生在使用计算机软件“ Cabri-Weometry”探索活动后，自行找到了图形和几何学理论的特征。然后他们试图找到这些特征和定理来自的原因。这种证明方法对学生非常感兴趣。由于这些研究的结果是一本日本教科书，用于在1996年出版了由Nohda和Nakayama教授编辑的初级高中中的Cabri-Geetry。以及Shimizu and Kakihara and Kakihara and applity Tocrited and processersers in Nohda and Nakayama在1996年出版了几何课程的材料样本来在课堂上使用此软件。这本书和这些材料对学校教师非常有帮助，这项研究必须为科学，技术和信息化社会的教育进步做出贡献。