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Research of Mathematics Instruction Analysis Applying Fuzzy Graph

Research Project

Project/Area Number 06680185
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Science education
Research InstitutionWaseda University

Principal Investigator

YAMASHITA Hajime  Waseda University, Professor, 政経学部, 教授 (40112990)

Co-Investigator(Kenkyū-buntansha) NISHIMURA Kazuko  Kawamura University, Professor, 文学部, 教授 (00149288)
WADA Jyunzo  Waseda University, Professor, 教育学部, 教授 (50063342)
ISHIGAKI Haruo  Waseda University, Professor, 教育学部, 教授 (60063492)
TERADA Fumiyuki  Waseda University, Professor, 理工学部, 教授 (30063324)
TAKIZAWA Takenobu  Waseda University, Professor, 政経学部, 教授 (70119519)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1995: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1994: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsFuzzy Theory / Fuzzy Graph / Cluster Analysis / Approximate Analysis / Math.Education / Instruction Graph / Cognition Graph / ファイィグラフ / ファジィ決定 / 教材構造分析 / 近似N値グラフ / 分割樹形図
Research Abstract

Inexact phenomena such as human cognition and behavior could be analyzed by using fuzzy theory which has updatingly been applied to human science, scocial science and so on.
In our research project, we would analyze instruction structure by using fuzzy graph. By applying fuzzy ordering and clustering, we could clarify cognition structure of a subject matter based on the test scores.
We also have designed and been developing the supproting system for this fuzzy data analysis which is utilized among our research members.
Regarding with the research results, we have presented to Int'l Congress of Mathematicians, the Int'l Conference of Fuzzy System Association, the Japan Congress of Science Education and many other conferences.
We also have published two books. One is Fuzzy Information Analysis from Kyoritu Shuppan-sha, another is Fuzzy Approach to Educational Technology from Waseda University Press.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 山下元: "Approximate Analysis of Fuzzy Graph & its Application" Int'l Congress of Mathematicians. XXII. PS18-102 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "Approximate Expression of Fuzzy Graph" Int'l Fuzzy System Association Congress. VI. 543-546 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "Approximate Structure Analysis of Fuzzy Graph" European Fuzzy Intelligent Technology Congress. III. 155-159 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "ファジィ理論を応用した教材構造分析" 科学教育研究(日本科学教育学会誌). XVIII. 23-29 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "ファジィグラフの近似分析と応用" 日本数学会応用数学分科会講演アブストラクト. 241-244 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "ファジィ理論を応用した教育情報分析技術" 教育システム情報学会誌. XII. 153-155 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "ファジィ教育情報科学" 早稲田大学出版部, 170 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下元: "ファジィ情報分析" 共立出版株式会社, 152 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Fuzzy Information Analysis" Kyoritu Shuppan-sha. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Fuzzy Approach to Educational Technology" Waseda Univ.Press. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Expression of Fuzzy Graph" Int'l Congress of Fuzzy System Association. VI. 543-549 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Structure Analysis of Fuzzy Graph" Europe Congress of Fuzzy Intelligent Technology. III. 155-159 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Analysis of Fuzzy Graph & its Application" Int'l Congress of Mathematicians. XXII. PS18-102 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Instruction and Cognition Structure Analysis Applying Fuzzy Theory" Japan Journal of Science Education. Vol.XVIII No.2. 23-29 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山下 元: "Approximate Analysis of Fuzzy Graph and its Application" Int'l Congress of Mathematicians. XXII. PS18-102 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "Approximate Expression of Fuzzy Graph" Int'l Fuzzy System Association Congress. VI. 543-546 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "Approximate Structure Analysis of Fuzzy Graph" European Fuzzy Intelligent Technology Congress. III. 155-159 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィ理論を応用した教材構造分析" 科学教育研究(日本科学教育学会誌). XVIII. 23-29 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィグラフの近似分析と応用" 日本数学会応用数学分科会講演アブストラクト. 241-244 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィ理論を応用した教育情報分析技術" 教育システム情報学会誌. XII. 153-155 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィ教育情報科学" 早稲田大学出版部, 170 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィ情報分析" 共立出版株式会社, 152 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "Approxime Analysis of Fuzzy Graph and its Application" Proc.Int′l Congress of Mathematicians. 22nd. PS18-102 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山下 元: "Approximate Structure Andlysis of a Fuzzy Graph" Proc.of Korea Fuzzy Mathematics and Systems. 6th. 40-42 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山下 元: "Fuzzy Theory and Mathematics Education" Proc.of Five Nations Conf.on Math.Education. 5th. 55-56 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山下 元: "ファジィグラフの近似分析と応用" 日本数学会応用数学分科会講演アブストラクト. 98-101 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山下 元: "ファジィ理論を応用した教育情報分析" 電子情報通信学会技術報告(ワークショップ). 25-30 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山下 元: "ファジィグラフを応用した教材構造分析" ファジィシステムシンポジウム論文集. 10巻. 613-616 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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