A practical Research of the Introduction of Fuzzy Theory to Mathematics Education

模糊理论引入数学教育的实践研究

• 批准号: 10680195
• 负责人: SUDA Hiroshi
• 金额: $ 1.28万
• 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: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10680195/
• 关键词: Fuzzy Theory; Foundations of Mathematics; Mathematics Education; Junior High School; Senior High School; Basic Education of University; Fuzzy Graph; Fuzzy Reasoning

First purpose of this research is practicing at non-engineering course of university and investigating, analyzing and examining the problem points of instruction and educational skill. We tried a synthetic education seminar "Introduction of Fuzzy Theory" at Keio University (Business and Commerce course) in which we attached importance to 'fuzzy' ('98) and 'mathematics' ('99). Every time, we investigated the correspondence of students. Consequently, it became clear that the contrivance of teaching program using close-at-home examples is important. We have reported a part at SOFT, but we intend to arrange these results with improved teaching program and report at ICME9, August 2000.Second purpose is practicing at education course and technology one of university and enriching instructions for each course. We tried ''Fuzzy Educational Infomatics" at Waseda University (M.N.C. course) and cultural seminar ''Human and Fuzzy" at Nihon University (Science and Technology course). According to q … More uestionnaires, if we only explain mathematically students cannot understand enough, but if we show many examples they can understand imaginarily. Then we have developed several concrete examples and reported at Mathematics Education Society and SOFT. We have to continue to develop concrete examples.Concerning third purpose, we have practiced special lessons ''The Foundation of Fuzzy Theory" and ''Fuzzy Theory and its Applications" for 3rd-year students of Waseda Jitsugyo Senior High School. From questionnaires we have gotton variable data for the sake of 'period of integrated learning'. And we held a combinative workshop with researchers of Osaka-area about concrete examples relative to daily lives of students.Fourth purpose is applications of fuzzy theory to education. As to the studies of educational evaluation method applying fuzzy resoning, sociometry analysis applying fuzzy node fuzzy graph and rating of clustering level applying fuzzy decision, we made to forward and could strengthen mathematical foundations. Less

本研究的第一目的是在大学非工程类课程的实践中，对教学和教育技能的问题点进行调查、分析和检验。我们尝试了在庆应义塾大学举办的综合教育研讨会“模糊理论导论”（商科课程），我们重视“模糊”（1998年）和“数学”（1999年）。每次我们都要调查学生的信件。因此，很明显，使用近距离例子的教学计划的设计是重要的。我们已经在SOFT上报告了一部分，但我们打算用改进的教学计划安排这些结果，并在2000年8月的ICME9上报告。二是在大学教育课程和技术课程中实践，丰富各课程的教学内容。我们尝试了早稻田大学的“模糊教育信息学”（M.N.C.课程）和日本大学的文化研讨会“人与模糊”（科学技术课程）。根据更多的问卷，如果我们只解释数学学生理解不够，但如果我们展示许多例子，他们可以想象理解。然后，我们开发了几个具体的例子，并在数学教育学会和SOFT上报告。我们必须继续发展具体的例子。关于第三个目的，我们为早稻田实桥高中三年级学生开设了“模糊理论基础”和“模糊理论及其应用”的专题课程。从问卷调查中，我们获得了“综合学习期”的可变数据。我们与大阪地区的研究人员举行了一个联合研讨会，讨论与学生日常生活有关的具体例子。四是模糊理论在教育中的应用。在应用模糊推理的教育评价方法研究、应用模糊节点模糊图的社会计量分析研究和应用模糊决策的聚类水平评定研究等方面，提出了进一步加强数学基础的建议。少

项目成果

山下元: "ファジィ理論の情報教育への導入"日本ファジィ学会ファジィシステムシンポジウム論文集. 15. 451-452 (1999)

Hajime Yamashita：“信息教育模糊理论简介”日本模糊学会模糊系统研讨会论文集。15. 451-452 (1999)

箭内顯彦: "高校生を対象としたファジィ理論の特別授業II"数学教育学会研究紀要秋季例会発表論文集. 176-187 (1999)

Takehiko Yanai：“高中生模糊理论特别课II”数学教育学会秋季例会论文集176-187（1999）。

守屋誠司: "中学生へのファジィ推論の指導実践"数学教育学会研究紀要春季年会発表論文集. 172-174 (1998)

Seiji Moriya：“初中生模糊推理教学实践”数学教育学会春季年会记录 172-174（1998）。

Hiroshi Suda: "The lntroduction of Fuzzy Mathematics to the Basic Education of University (Non-engineering Course)[V]"Japan Society for Fuzzy Theory and Systems, Proceedings of l5th Fuzzy System Symposium. 445-448 (1999)

须田浩：《大学基础教育模糊数学导论（非工科课程）[V]》日本模糊理论与系统学会，第15届模糊系统研讨会论文集。

Seiji Moriya: "Practical Guidance of Fuzzy Reasoning to Junior High School Pupils"Proceedings of Mathematics Education Society Spring Conference. 172-174 (1998)

Seiji Moriya：《初中生模糊推理实用指导》数学教育学会春季会议论文集。