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

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

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