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Constitution of Problem Solving Models in Mathematical Education and its Application to a Supporting System for Learners

Research Project

Project/Area Number 01580283
Research Category

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

Allocation TypeSingle-year Grants
Research Field 科学教育(含教育工学)
Research InstitutionTakushoku Univ.

Principal Investigator

TAKEYA Makoto  Faculty of Engineering, Takushoku Univ., Professor, 工学部, 教授 (90197343)

Co-Investigator(Kenkyū-buntansha) TERADA Fumiyuki  School of Science and, Engineering Waseda Univ., Professor, 理工学部, 教授 (30063324)
NAKAMURA Naoto  Faculty of Engineering, Takushoku Univ., Assistant, 工学部, 助手 (20201676)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1991: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥800,000 (Direct Cost: ¥800,000)
Keywordsmathematical education / problem solving / learning enviroment / hypermedia / exploration learning / learning strategies / CAI / 問題解決支援システム / 問題解決プロセス / 数学的知識 / 方略的知識 / マルチメディア / 戦略的知識
Research Abstract

Our research results are summarized into the following three items.
A. Research and Development on the Curriculum in High School Mathematics
We discussed both the problem solving process in mathematical education and computer application to curricula of mathematics. As a result, we proposed the concept of CSC (Curricula Supported by Computers) and the computer application system which provides students with some information for problem solving.
B. Research on Cognitive Structure Analysis in Problem Solving Process
It is important to study students' problem solving process from a view point of cognitive science. For this purpose, we presented the new analysis method called the SS (Semantic Structure) analysis method. Based on the results of the SS analysis, we presented the cognitive structure model for problem solving in high school mathematical education.
C. Research and Development on Multiple Learning Environment for Mathematical Education
Based on the results of the items A and B, we developed two multimedia computer system. First is the guidance system for problem solving in mathematical education. Second is the exploration learning system depending upon learning strategies of problem solving using hypermedia. It is considered that these results contribute construction of future concepts of advanced mathematical education.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (37 results)

All Other

All Publications (37 results)

  • [Publications] 竹谷 誠,中村 直人,釈氏 孝浩,松居 辰則: "Multiple Learning Enviroment Vsing THE Multimedia CAI System" Proceedings of the IFIP TC 3 Fifth World Conference on Computers in Education. WCCE90. 587-592 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 中村 直人,竹谷 誠,釈氏 孝浩,寺田 文行: "The THE CAI System with Learning Enviroment for Enhancing Problem Solving" Aspects of Educational and Training Technology (Kogan Page,London). 24. 117-121 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 松居 辰則,中村 直人,竹谷 誠,寺田 文行: "Curriculun Supported by Conputerーーmathematics through 'NATTOKU'" Aspects of Educational and Training Technology (Kogan Page,London). 24. 129-134 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 中村 直人,竹谷 誠: "ハイパ-メディアを用いた問題解決方略に基づく意味構造分析" 電子情報通信学会論文誌A. 2. 164-172 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 竹谷 誠,中村 直人,松居 辰則: "アンケ-ト調査のための程度量表現用語の意味構造分析" 電子情報通信学会論文誌A. 2. 399-406 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 松居 辰則,中村 直人,竹谷 誠: "意味構造グラフの2次元配置法" 電子情報通信学会論文誌A. 2. 390-398 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 竹谷 誠: "新・テスト理論ー教育情報の構造分析法ー" 早稲田大学出版部, 309 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 竹谷 誠: "教育デ-タ処理と評価(第5章,情報通信時代の教育)" 電子情報通信学会, 37 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takeya, M., Nakamura, N., Shakushi, T. and Matsiu, T.,: "Multiple Learning Environments Using THE Multimedia CAI System" Proceedings of the IFIP TC 3 Fifth World conference on Computers in Education - WCCE 90. 587-592 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Naoto Nakamura, Makoto Takeyg, Takahiro Shakushi and Fumiyuki Terada.: "The THE CAI System with Learning Environment for Enhancing Problem Solving" Aspects of Educational and Training Technology, Kogan Page, London. 124. 117-121 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Tatsunori Matsui, Naoto Nakamura, Makoto Takeya and Fumiyuki Terada: "Curriculum Supported by Computer - Mathematics Through 'NATTOKU'" Aspects of Educational and Training Technology, Kogan Page, London. 124. 129-134 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Matsui, T., Nakamura, N. and T. Takeya: "A method for two dimensional layout of the Semantic Structure Analysis" Transactions of Institute of Electronics, Information and Communication Engineers. (in japanese). J75-A No. 2. 399-406 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Nakamura, N. and Takeya, M.: "The exploration learning system based on strategies of problem solving using Hypermedia" Transactions of Institute of Electronics, Information and Communication Engineers, (in Japanese). J75-A No. 2. 164-172 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takeya, M., Nakamura, N. and Matsui, T.: "Semantic structure analysis on qualitative words for rating scales" Transactions of Institute of Electronics, Information and Communication Engineers, (in Japanese). J75-A No. 2. 390-398 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takeya, M.: Waseda University Publishing Inc., Tokyo. (in Japanese). A New Test Theory, 309 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takeya, M., Co-authored Shimizu, Y. et. al.: Institute of Electronics, Information and Communication, Tokyo. (in japanese). Education in Information and Communication Age, 116-153 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Fumiyuki Terada: "Mathematical Education Towords the Next Century ーApproach to The Ideal Use of Computer" Journal of Science Education.Japan. Vol.15No.3. 101-109 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 竹谷 誠: "選択肢回答の分布特性の定量的分析" 電子情報通信学会論文誌A. Vol.J74ーA NO.1. 127-135 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 竹谷 誠: "教授方略の包括的指標の提案と特性分析" 電子情報通信学会信学技報. ETー91ー45. 47-54 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 中村 直人: "ハイパ-メディアベ-スの電子教科書の設計法" 電子情報通信学会信学技報. ETー91ー74. 203-206 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 中村 直人: "数学探索学習におけるナビゲ-ション法の一考察" 電子情報通信学会信学技報. ETー91ー81. 41-46 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 中村 直人: "自由探索型学習における教材提示法の開発" 日本科学教育学会第15回年会論文集. 203-206 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 竹谷 誠: "情報通信時代の教育、第5章、第1,4,5節," コロナ社, 38 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Makoto TAKEYA: "Multiple Learning Environments Using the Multimedia CAI System" Proceedings of World Conf.on Computers in Education. 587-592 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Makoto TAKEYA: "Graphical analysis method for fuzzy questionnaire data" Proceedings of International Conf.on Fuzzy Logic & Neural Networks. 803-806 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Makoto TAKEYA: "Ordering properties for multiple~choice questionnaire items" Electoronics and Communications in Japan. VoL.73 No.5. 64-74 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 竹谷 誠: "選択肢回答の分布特性の定量的分析" 電子通信学会論文誌A. J74ーA,No.1. 127-135 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Naoto NAKAMURA: "A guidance system for problem solving in mathematical education" Aspects of Educational and Training Technology XXIII. 35-40 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Fumiyuki TERADA: "Curriculum Supported by Computer:Basic Concept,Trial and Evaluation" Proceedings of World Conf.on Computers in Education. 311-317 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 寺田 文行: "教育用コンピュ-タハンドブック'90" 日本評論社, 281 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.TAKEYA,N.NAKAMURA et.al: "Multipule Learning Environment using THE Multimediad CAI System" IFIP.Proceedings of 5th World Conference on Computers in Education. (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] M.TAKEYA,N.NAKAMURA et.al: "An Evaluation of T.H.E. CAI System Based on Students'Opinion" J.Sci.Educ.Japan. 13-2. 102-108 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 竹谷誠: "選択肢回答のアンケ-ト項目の順序特性" 電子情報通信学会論文誌A. J72-A. 825-833 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] M.TAKEYA: "New Environments for Guided Discovery Learning in Mathematical Education" The 3rd Sino-Japanese Symposium on Science Education. 123-128 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 中村直人,竹谷誠: "学習者の問題解決戦略を支援するシステム" 日本科学教育学会第13回年会論文集. 13. 365-368 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 中村直人,竹谷誠: "問題解決戦略の自由探索法に基づく数学学習支援システム" 情報処理学会第40回全国大会講演論文集. 1. 3-4 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 竹谷誠(分担著): "教材構造グラフの活用と評価(CAIハンドブック)" フジ・テクノシステム, 5/1169 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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