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算額の数学史・文化史的な調査・研究とその科学教育への活用について

算学数学文化史的调查研究及其在科学教育中的应用

基本信息

批准号：
10680007
负责人：
YONEYAMA Tadaoki
金额：
$ 1.02万
依托单位：
Toyo University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1998
资助国家：
日本
起止时间：
1998 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10680007/
关键词：
Historical Japan Geometry Dedicated Tablets Shrine and Temple

项目摘要

The purpose of our researches are decoding problems and technical sentences in dedicated tablets and in books of Japanese historical mathematics written in Chinese literature, investigating the significance in mathematical history and in caltural history, inquiring into the solution of mathematic (especially geometric) problems, and moreover, planning to utilize our research to the education in mathematics and science.Before and after our scientific research was adopted to Grant-in-Aid in the academic year 1998 (Heisei 10), progress was made in researches "circular inversion", "three inscribed circles it a rectangular triangle", and "equi-radius inscribed circles in each segmental triangle". Three papers were published on the former two themes, but not the last theme. The other problems, like "ellipse and circle inscribed in a rectangle" given by Naonobu Ajima, "a spheroid inscribed in a box", and "the fifth problem dedicated to Oishiko Shrine", and so on, were investigated. Poster paper were presented at Third International Conference on Oriental Astronomy held at Fukuoka 1998.Concerning to the last part in ours subject : "utilization to science education", I mentioned to the tablet dedicated by Mogami Tokunai in connection with land survey and longitude-latitude of the Earth in my textbook on astrnomy.In December 2000, I dedicated mathematical tablet to Takasago Shrine in Hyougo prefecture as the outcome of our research. I hope that high school and college student and also all people will be interested in Japanese historical mathematics as the precious cultural inheritance.

本研究的目的是对日本汉文数学史专书中的问题和技术语句进行解码，考察其在数学史和文化史上的意义，探讨数学问题的解决方法，（特别是几何）问题，而且，计划将我们的研究成果应用于数学和科学教育，在1998学年我们的科研成果被采用为助学金前后，（平成10），在“圆反演”、“矩形三角形的三个内切圆”和“每个分段三角形的等半径内切圆”的研究方面取得了进展。就前两个主题发表了三篇论文，但没有发表最后一个主题。其他问题，如“椭圆和圆内接于一个矩形”由Naonobu Ajima，“一个球体内接于一个盒子”，和“第五个问题，致力于大石湖神社”，等等，进行了研究。1998年在福冈举行的第三届东方天文学国际会议上提交了海报论文。关于我们主题的最后一部分：“科学教育的利用”，我提到了最上德内在我的天文学教科书中关于土地测量和地球纬度的平板电脑。2000年12月，作为我们研究的成果，我把数学碑献给了兵库县的高砂神社。希望高中生和大学生以及所有的人都能对日本历史数学这一宝贵的文化遗产感兴趣。