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Empirical Research on Activating Materials for Mathematics Teaching

Research Project

Project/Area Number 03680249
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 InstitutionScience University of Tokyo

Principal Investigator

NAGANO Azuma  Science Univ. of Tokyo, Fac. of Science Division-1 Lecturer, 理学部, 講師 (10198343)

Co-Investigator(Kenkyū-buntansha) SHIMADA Shigeru  Science Univ. of Tokyo, Fac. of Science Division-1 Professor, 理学部・一部, 教授 (00000034)
MATSUO Yoshitomo  Science Univ. of Tokyo, Fac. of Science Division-2 Professor, 理学部・二部, 教授 (60103024)
SHIBATA Toshio  Science Univ. of Tokyo, Fac. of Industrial Science and Tech. Professor, 基礎工学部, 教授 (70130333)
MIYAHARA Yasushi  Science Univ. of Tokyo, Fac. of Science Division-1 Professor, 理学部・一部, 教授 (50120217)
YAMADA Toshihiko  Science Univ. of Tokyo, Fac. of Science Division-1 Professor, 理学部・一部, 教授 (30087027)
HATORI Hirohisa  Science Univ. of Tokyo, Fac. of Science Division-1 Professor, 理学部・一部, 教授 (90130335)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1992: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1991: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsActivating Material / Material List / Evaluation of Materials / Measuring Instrument / Model of Learning Behavior / 数字のよさ・美しさ / 推論 / 予測 / 有用性 / 活性化の枠組み / 認知的構造 / 数学的構造
Research Abstract

The following works were carried out in the last year of the project in order to summarize whar we have studied so far, as well as to look ahead the future issues to be studied.
I. Making a list of available materials
The materials developed hitherto were classified by mathematical topics and supplemented with some explanatory notes in order to facilitate teachers' use of them in classroom.
'Activating Materials fir Mathematics Teaching classified by Topics' by MAKI,Seiji(Oguni U.S.S., Yamagata) et al.
II. Development of a new method of evaluating materials
Though methods based on questionaire to students have customarily used for measuring effectiveness of teaching materials, an attempt was made to develop a new one which may give a more objective evaluation of materials than customary ones.
(1) Actual evaluation of materials Students' reactions to the developed materials in actual tryout lessons were recorded in handouts given them or Video tape of lessons, and analysed by members after the lessons. 'Empirical Research on Activating Materials for Mathematics Teaching', by YOSGHIZAWA, Ikuo(Toshima U.S.S., Tokyo). 'Various Proofs of the Pythagorean Theorem', by MAKINO,Masahiro(L.S.S. of Keio Gijiku, Keio) 'Lesson on Poisson's Distribution', by TAKAHASHI,Masanobu(Higashi U.S.S., Tokyo). 'Does throwing 45 up reach the furthest?', KURAMITSU,Hiroshi(SAKAI US.S., Tottori).
(2) Development of a measuring instruments to evaluate materials 'On development of measuring instruments to evaluate materials', NAGANO,Azuma(Science Univ.of Tokyo).
III. Further themes of research
We would like to make a model of learning behaviors of students which may lead to activate their learning and to apply it to lessons or materials which are likely to cause inactive learning situations in traditional style of teaching. By doing so, we would like to propose a treatment to cure students sympton of parting from mathematics.

Report

(3 results)
  • 1992 Annual Research Report   Final Research Report Summary
  • 1991 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 牧野 正博: "ピタゴラスの定理のいろいろな証明ー幾何の推論における思考様相の分析ー" 東京理科大学数学教育研究会誌. 34. 25-34 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 牧野 正博: "寺小屋の数学教育とピタゴラスの定理" SUT. 1993-2. 27-32 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高橋 雅信: "ポアッソン分布の授業実践" SVT. 1993-1. 27-32 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 槙 誠司: "活性化教材の必要性と実践報告について," 日本数学教育学会誌第73回特集号. 73. 507-507 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 牧下 英世: "数学の基礎・基本の充実を図り,一人一人を生かす学習指導ー計算力の育成を通してー" 日本数学教育学会誌第74回特集号. 74. 357-357 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 長野 東: "活性化の測定用具の開発について" 数学教育論文発表会論文集. 25. 493-498 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 羽鳥 裕久: "数学の小さな旅" 近代科学社, 206 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] MAKINO,Masahiro: "Various Proofs of the Pythagoren Theorem -An Analysis of modes of thinking in geometrical inference-" Jour. of Study Group of Math. Ed. in S.U.T.Vol.34. 24-25 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] MAKINO,Masahiro: "Mathematical Teaching in Terakoya and the Pythagorean" SUT, 1993-2. 27-32 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] TAKAHASHI,Masanobu: "Practiced Lesson on Poisson's Distribution" SUT, 1993-1. 27-32 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] MAKI,Seiji: "On Needs of Activating Materials and Report of Practicing them" Proc. of the 73rd Annual Meeting, of J.S.M.E.Vol.73. 507 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] MAKISHITA,Hideyo: "Teaching to enrich the Fundamental of Mathematics and to keep individual alive-through cultivating computational ability-" Proc. of the 74th Annual Meeting of J.S.M.E.Vol.74. 359

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] NAGANO,Azuma: "On Development of measuring Instrument for Activation" Proc. of Meeting of Reading papers on Math. Ed.Vol.25. 493-498

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] HATORI,Hirohisa: Kindai Kagakusha. A Little Trip in Mathematics, 206 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 牧野 正博: "ピタゴラスの定理のいろいろな証明 -幾何の推論における思考様相の分析-" 東京理科大学数学教育研究会誌. 34. 25-34 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 牧野 正博: "寺小屋の数学教育とピタゴラスの定理" SVT. (science university of Tokyo). 1993-2. 27-32 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 高橋 雅信: "ポアツソン分布の授業実践" SVT(science university of Tokyo). 1993-1. 27-32 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 槙 誠司: "活性化教材の必要性と実践報告について." 日本数学教育学会誌 第73回特集号. 73. 507-507 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 牧下 英世: "数字の基礎・基本の充実を図り,一人一人を生かす学習指導 -計算力の育成を通して-" 日本数学教育学会誌 第74回 特集号. 74. 357-357 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 長野 東: "活性化の測定用具の開発について." 数学教育論文発表会 論文集. 25. 493-498 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 羽鳥 裕久: "数学の小さな旅" 近代科学社, 206 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 長野 東: "会法論説に見る実践と研究についてのー考察ー授業の活性化の立場からー" 数字教育論文発表会論文集. 24. 365-368 (1991)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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