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

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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.).