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

本研究的第一个目的是在高校非工科课程中进行实践，并对教学要点和教育技巧的问题进行调查、分析和检验。我们在庆应义乌大学尝试了一个综合教育研讨会“模糊理论导论”(商贸课程)，其中我们重视‘模糊’(‘98)和’数学‘(’99)。每一次，我们都调查学生的通信情况。因此，很明显，利用近距离的例子来设计教学计划是重要的。我们已经在SOFT上报告了一部分，但我们打算通过改进教学计划和在2000年8月的ICME9上报告来安排这些结果。第二个目的是在大学的教育与技术课程之一进行实践，并丰富每门课程的指导。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Q…的说法更多的用人单位，如果我们只从数学上解释，学生们不能充分理解，但如果我们展示许多例子，他们可以想象地理解。然后，我们开发了几个具体的例子，并在数学教育学会和软件上进行了报告。我们还要继续开发具体的例子。针对第三个目的，我们为早稻田实业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》专题课。从问卷调查中，我们得到了大量的变量数据，以便于“整合学习时期”。我们还与大阪地区的研究人员举办了一个与学生日常生活相关的具体实例的联合研讨会。四是模糊理论在教育中的应用。对于应用模糊推理的教育评价方法、应用模糊节点模糊图的社会计量分析和应用模糊决策的聚类度评价方法的研究，提出了可以加强数学基础的方法。较少

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