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A Basic Research of the Introduction of Fuzzy Theory to Mathmatics Education

模糊理论引入数学教育的基础研究

基本信息

批准号：
07680206
负责人：
SUDA Hiroshi
金额：
$ 1.15万
依托单位：
Keio University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07680206/
关键词：
Fuzzy Theory Foundations of Mathematics Fuzzy Graph Mathematics Education in Junior High School Mathematics Education in Senior High School Basic University Education

项目摘要

One purpose of this research is to clarify the mathematical foundation of fuzzy theory. This is a difficult problem which has not been solved in relative associations, but we kept on this study by slow walking. On the other hand, the research of educational-technological application developed. Especially, with respect to educational evaluation system, the model being useful in educational site is completing.The next purpose is the research that introduce fuzzy theory into junior or senior high school mathematics. Some teachers completed suitable examples used fuzzy theory with in the limits of the national curriculum. And they tried to make educational experiment at the sopts of developmental study or activity. For the understanding mathematical idea, WE think that to show the examples picked from daily life is effective. We suppose fuzzy thory be able to deal with human subjectivity or sensibility is useful for the development of such examples. Furthermore, we want to continue the research makes examples and verifies the educational effect.The main purpose of this research is the making instruction and experimenting in basic education of university (mainly social or human science cource). Last year, we asked comments and advicies about our proposal of instruction at educational technology and fuzzy theory associations and tried one at a seminar of synthetic education. Every time, we investigated the correspondence of students and we reported that results on Mathematics Education Society and Japan Society for Fuzzy Theory and Systems. Onece more, we were able to investigate correspondence and opinion of students of medical or educational cource. On the strength of these data, we repeated examination and we made a comprehensive instruction for non-engineering cource and then we wrote 'Introduction to Fuzzy Mathematics-Basis and Application of Soft-science' (Morikita Pub.).

本研究的目的之一是阐明模糊理论的数学基础。这是一个在相关协会中一直没有解决的难题，但我们通过慢走的方式继续进行了这项研究。另一方面，教育技术应用研究也在不断发展。特别是在教育评价体系方面，完成了适用于教育现场的模型。下一个目的是将模糊理论引入初中或高中数学的研究。一些教师在国家课程范围内用模糊理论完成了合适的应用实例。他们试图在发展研究或活动的基础上进行教育实验。对于理解数学思想，我们认为展示日常生活中的例子是有效的。我们认为，能够处理人的主观性或敏感性的模糊理论对这类例子的发展是有用的。本研究的主要目的是在大学基础教育(主要是社会科学或人文科学课程)中进行教学与实验。去年，我们在教育技术和模糊理论协会就我们的教学建议征求了意见和建议，并在综合教育研讨会上进行了尝试。每一次，我们都对学生的通信进行调查，并在数学教育学会和日本模糊理论与系统学会上报告结果。此外，我们还能够调查医学或教育专业学生的通信和意见。在这些数据的基础上，我们反复测试，对非工科课程进行了全面的指导，然后我们编写了《模糊数学导论-软科学的基础和应用》(Morikita Pub.)。