• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

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

Research Project

Project/Area Number 10680195
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionKeio University

Principal Investigator

SUDA Hiroshi  Keio University, Faculty of Business and Commerce, Profesor, 商学部, 教授 (80046268)

Co-Investigator(Kenkyū-buntansha) YAMASHITA Hajime  Waseda University, Faculty of Politics and Economics, Profesor, 政治経済学部, 教授 (40112990)
TAKENAKA Yoshiko  Keio University, Faculty of Economics, Professor, 経済学部, 教授 (20051617)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1999: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsFuzzy Theory / Foundations of Mathematics / Mathematics Education / Junior High School / Senior High School / Basic Education of University / Fuzzy Graph / Fuzzy Reasoning
Research Abstract

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

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (56 results)

All Other

All Publications (56 results)

  • [Publications] 須田宏: "ファジィ数学の大学(文系)基礎教育への導入[IV]"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. 14. 675-676 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 須田宏: "ファジィ数学の大学(文系)基礎教育への導入[V]"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. 445-448 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 稲井田次郎: "大学教育におけるファジィ理論の導入V"数学教育学会研究紀要秋季例会発表論文集. 179-181 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 稲井田次郎: "自己学習力を育てる数学教育の実践的研究"全日本教育工学研究協議会全国大会発表論文集. 25. 181-184 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 箭内顯彦: "ファジィ理論の高校教育への導入"日本ファジィ学会ソフトサイエンスワークショップ論文集. 9. 105-106 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 箭内顯彦: "高校生と対象としたファジィ理論の特別授業"数学教育学会研究紀要春季年会発表論文集. 164-166 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 須田宏: "高校教育へのファジィ数学の導入"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. 449-450 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 箭内顯彦: "高校教育へのファジィ理論の導入"日本教育工学会全国大会講演論文集. 15. 695-696 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 柳本朋子: "数学教育におけるファジィモデリングの教育-高校生を対象として-"大阪教育大学紀要教科教育. 47・2. 223-233 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 金谷博史: "コンピュータ科学の基礎、その教育の研究と実践XIII-ファジィ理論について-"数学教育学会研究紀要春季年会発表論文集. 145-147 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 津田栄: "ファジィシャプレイ値を応用したソシオグラム分析"数学教育学会研究紀要春季年会発表論文集. 169-171 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 上江洲弘明: "ファジィノード・ファジィグラフとその応用"数学教育学会研究紀要秋季年会発表論文集. 185-187 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 清水誠一: "ファジィ推論を応用した教育モデルの研究II"数学教育学会研究紀要秋季例会発表論文集. 191-193 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 上江洲弘明: "ファジィノード・ファジィグラフとその応用II"数学教育学会紀要秋季年会発表論文集. 158-160 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 津田栄: "ファジィ決定を応用したクラスタリングレベルの評定"数学教育学会研究紀要春季年会発表論文集. 167-169 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 上江洲弘明: "T-ノルムを応用したファジィノード・ファジィグラフの解析"数学教育学会研究紀要秋季例会発表論文集. 173-175 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 竹中淑子: "学生側から見た経済系学部の数学カリキュラムの現状"数学教育学会研究紀要秋季例会発表論文集. 95-97 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 須田宏: "「ファジィ理論の教育への利用」SGの活動について-SGの研究活動と今後の展望-"数学教育学会研究紀要. 40.1・2. 73-80 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 須田宏: "ファジィ理論の学校教育への導入-実践教育の外観-"慶應義塾大学日吉紀要自然科学. 27. 35-42 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Introduction of Fuzzy Mathematics to the Basic Education of University (Non-engineering Course)[IV]"Japan Society for Fuzzy Theory and Systems, Proceedings of l4th Fuzzy System Symposium. 675-676 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 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)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Jiro Inaida: "An Introduction of Fuzzy Theory to the Education of University V"Proceedings of Mathematics Education Society Autumn Conference. 179-181 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Jiro Inaida: "An Practical Research of Mathematics Education which Trains Self Learning Ability"Proceedings of 25th All Japan Educational Technology Research Conference. 181-184 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hajime Yamashita: "An Introduction of Fuzzy Theory to Informatics Education"Japan Society for Fuzzy Theory and Systems, Proceedings of l5th Fuzzy System Symposium. 451-452 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiko Yanai: "An Introduction of Fuzzy Theory to SィイD2RィエD2. High-School Education"Japan Society for Fuzzy Theory and Systems, Proceedings of 9th Soft Science Workshop. 105-106 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiko Yanai: "An Special Lesson of Fuzzy Theory for Senior High School Students"Proceedings of Mathematics Education Society Spring Conference. 164-166 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi Suda: "An Introduction of Fuzzy Mathematics to Senior High School Education"Japan Society for Fuzzy Theory and Systems, Proceedings of l5th Fuzzy System Symposium. 449-450 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiko Yanai: "An Special Lesson of Fuzzy Theory for Senior High School Students II"Proceedings of Mathematics Education Society Autum Conference. 176-178 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiko Yanai: "An Introduction of Fuzzy Theory to Senior High School Education"Proceedings of l5th Conference of Japan Society for Educational Technology. 695-696 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Tomoko Yanagimoto: "Teaching Fuzzy Modeling in Mathematics Education-For the Senior High School Students-"Memoirs of Osaka Kyoiku University Ser.V School Subjects and Allied Problems. Vol.47, No.2. 223-233 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi Kanaya: "Foundation of Computer Science; Research and Practice of its Education XIII-On Fuzzy Theory-"Proceedings of Mathematics Education Society Spring Conference. 145-147 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiji Moriya: "Practical Guidance of Fuzzy Reasoning to Junior High School Pupils"Proceedings of Mathematics Education Society Spring Conference. 172-174 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ei Tsuda: "Sociogram Analysis System Appling Fuzzy Shapley Value"Proceedings of Mathematics Education Society Spring Conference. 169-171 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroaki Uesu: "Fuzzy Node Fuzzy Graph and its Applications"Proceedings of Mathematics Education Society Autum Conference. 185-187 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Shimizu: "A Research of Educational Model Applying Fuzzy Reasoning II"Proceedings of Mathematics Education Society Autum Conference. 191-193 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroaki Uesu: "Fuzzy Node Fuzzy Graph and its Applications II"Proceedings of Mathematics Education Society Spring Conference. 158-160 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ei Tsuda: "Clustering Level Analysis Applying Fuzzy Decision"Proceedings of Mathematics Education Society Spring Conference. 167-169 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroaki Uesu: "Analysis of Fuzzy Node Fuzzy Graph Applying T-norm"Proceedings of Mathematics Education Society Autum Conference. 173-175 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Yoshiko Takenaka: "The Existing State of Mathematics Curriculum in Economics Course Observing from Students Side"Proceedings of Mathematics Education Society Autum Conference. 95-97 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi Suda: "On the Activities of Study Group ''The Use of Fuzzy Theory to Education" -Research Activities and a Prospect for the Future--"Mathematics Education Society of Japan Bulltin for Mathematics Education Study. Vol.40, No.1・2. 73-80 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Introduction of Fuzzy Theory to School Education-A Survey of Practical Studies-"Hiyoshi Review of Natural Science Keio University. No.27. 35-42 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入〔V〕"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. 445-448 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 稲井田 次郎: "自己学習力を育てる数学教育の実践的研究"全日本教育工学研究協議会全国大会発表論文集. 25. 181-184 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 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)

    • Related Report
      1999 Annual Research Report
  • [Publications] 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. 176-178 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 須田 宏: "「ファジィ理論の教育への利用」SGの活動について-SGの研究活動と今後の展望-"数学教育学会研究紀要. 40・1. 73-80 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 須田 宏: "ファジィ理論の学校教育への導入-実践研究の概観-"慶應義塾大学日吉紀要自然科学. 27. 35-42 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入[IV]" 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. 14. 675-676 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 稲井田次郎: "大学教育におけるファジィ理論の導入V" 数学教育学会研究紀要秋季例会発表論文集. 179-181 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 清水 誠一: "ファジィ推論を応用した教育モデルの研究II" 数学教育学会研究紀要秋季例会発表論文集. 191-193 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 山下 元: "Sociometry Analysis Appliying Fuzzy Node Fuzzy Graph" バイオメディカル・ファジィシステム学会年次大会講演論文集. 11. 59-60 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 箭内 顕彦: "ファジィ理論の高等教育への導入" 日本ファジィ学会ソフトサイエンスワークショップ論文集. 9. 105-106 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 箭内 顕彦: "高校生を対象としたファジィ理論特別授業" 数学教育学会研究紀要春季年会発表論文集. (1999)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi