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Development research on conjectures / proof in math by cabri

Research Project

Project/Area Number 07045003
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionUniversity-to-University Cooperative Research
Research Field Science education
Research InstitutionUniversity of Tsukuba

Principal Investigator

NOHDA Nobuhiko  Univ.of Tsukuba, Ins.of Education, Prof., 教育学系, 教授 (80020121)

Co-Investigator(Kenkyū-buntansha) LABORDE C.  Univ.of Grenoble, LSD,Professor, LSD, 教授
LABORDE J.  Univ.of Grenoble, LSD,Professor, LSD, 教授
BALACHEFF N.  Univ.of Grenoble, INP,Professor, INP, 教授
ISODA Masami  Univ.of Tsukuba, Ins.of Education, Assi.Prof., 教育学系, 講師 (70212967)
SHIMIZU Shizumi  Univ.of Tsukuba, Ins.of Education, Asso.Prof., 教育学系, 助教授 (20115661)
DUMIEL G  グルノーブル大学, INP, 教授
LABORDE C  グルノーブル大学, LSD, 助教授
LABORDE J  グルノーブル大学, LSD, 教授
BALACHEFF N  グルノーブル大学, INP, 教授
日野 圭子  筑波大学, 教育学系, 助手 (70272143)
中山 和彦  筑波大学, 電子・情報工学系, 教授 (50091913)
DUMIEL G.  グルノーブル大学, INP, 教授
宮崎 樹夫  筑波大学, 教育学系, 助手 (10261760)
Project Period (FY) 1995 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥4,200,000 (Direct Cost: ¥4,200,000)
Fiscal Year 1997: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1996: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1995: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsCabri-Geometry / Curriculum Study / Computer / 筑波大学 / グルノ-ブル大学 / 共同研究 / 推測と証明 / 証明と論証 / 文化と教育 / カリキュラム / 数学教育 / 幾何 / 推測 / 証明 / 図形学習ソフト / フランス
Research Abstract

Through collaborative research the results of "how to use software in school geometry in both countries? and what kinds of effects are found in using software? " were reported at the International conference of Mathematics Education held in Spain and Psychology of Mathematics Education held in Finland. Then the difference between France and Japan on the cognitive aspects when students solved the proof problems was found. The following results of research was found in Japan. On the process of problem solving in geometry, students find the characteristics of figures and theory of geometry by themselves after exploring activities with computer software "Cabri-Geometry". And then they tried to find the reason why these characteristics and theorems come from. This approach for proof is very interested by students.
As the results of these research a Japanese text book for using Cabri-Geometry in Junior high school edited by Professor Nohda and Nakayama was published in 1996. And samples of materials of geometry course to use this software in class were produced in floppy disk by Shimizu and Kakihana and distributed to school teachers. This book and these materials are very helpful for school teachers and this research must contribute the progress of education in science, technology and informationalized society.

Report

(4 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • 1995 Annual Research Report
  • Research Products

    (32 results)

All Other

All Publications (32 results)

  • [Publications] 能田 伸彦: "From Mcasurement to confecturi and proof in Geometry Proslcms-students use of Meisurements in the Computer Enviroment-" Proceedings of the 20th International Conference of PME. 20.3. 161-168 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 能田 伸彦: "学校数学におけるカリキュラム研究の視点" 中学校・高等学校数学科教育課程開発に関する研究. 4. 3-12 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 清水 静海: "いま、そしてこれからの算数・数学教育" 中学校・高等学校数学科教育課程開発に関する研究. 4. 13-27 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 磯田 正美: "テクノロジー利用による代数・幾何・解析の改革へのパースペクティフ〜関数・微積For All プロジェクト〜" 中学校・高等学校数学科教育課程開発に関する研究. 4. 49-103 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.HARADA: "The Effects of Using Cabri-Gcometry in Geomctrical Proof-Problem Solving:France-Japan Collaborative Research" The Journal of Science Education in Japan. 21・3. 172-182 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Masami Isoda: "Connceming Mathematics with Machine Engineering and Art:Perspections for Calculus and Geomctru for All via Technology" Con-puter Technology in Mathematical Reserch and Teaching. 2. 60-70 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 能田 伸彦: "自ら学ぶ図形の世界;先生・生徒・コンピュータが作る新しい授業" 筑波出版会, 167 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 清水 静海: "学ぶ意欲を育てる算数授業の創造" 明治図書, 94 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Nobuhiko Nohda: "From Measurement to Confecture and proof in Geometry Problems - Students' Use of Measurements in the computer Environment-" Proceedings of the 20th International Conference of PME. Vol.20-3. 161-168 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Nobuhiko Nohda: "A Point of View in the Study of Curriculum Research in School Mathematics" School Mathematics Research Curricilum in Secondary. Vol.4. 3-12 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Shizumi Shimizu: "Mathematics Education in now and future" School Mathematics Research Curricilum in Secondary. Vol.4. 13-27 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Masami Isoda: "Perspective Research on Alg.Geo.and Ana.by used Computer - For all Mathematics Projects-" School Mathematics Research Curricilum in Secondary. Vol.4. 49-103 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.Harada: "The Effects of Using Cabri-Geometry in Geometrical Proof-Problem Solving : France-Japan Collaborative Research" The Journal of Science Education in Japan. Vol.21-3. 172-182 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Masami Isoda: "Connecting Mathematics with Machine Engineering and art : -Perspective for Cal culus and Geometry for all via Technology" Computer Technology in Mathematical Research and Teaching. Vol.2. 60-70 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Nobuhiko Nohda: Seometrical World : New Lesson by Teacher, Students and Computer. Tsukuba Publish Company, 167 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Shizumi Shimizu: Creative Minds in school Arithmetic. Maiji Tosho Company, 94 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 能田 伸彦: "From Measurement to Confecture and Proof in Geometry Problems -Students′ Use of Measurements in the computer Environment-" Proceedings of the 20th International Conference of PME. 20・3. 161-168 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 能田 伸彦: "学校数学におけるカリキュラム研究の視点" 中学校・高等学校数学科教育過程開発に関する研究. 4. 3-12 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 清水 静海: "いま、そしてこれからの算数・数学教育" 中学校・高等学校数学科教育過程開発に関する研究. 4. 13-27 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 磯田 正美: "テクノロジー利用による代数・幾何・解析の改革へのパースペクティブ〜関数・微積For Allプロジェクト〜" 中学校・高等学校数学科教育過程開発に関する研究. 4. 49-103 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K HARADA: "The Effects of Using Cabri-Geometry in Geometrical Proof-Problem Solving France-Japan Collaborative Research" The Journal of Science Education in Japan. 21・3. 172-182 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Masami Isoda: "Connecting Mathematics with Machine Engineering and Art : Perspectives for Calculus and Geometry for All via Technology" Conputer Technology in Mathematical Research and Teaching. 2. 60-70 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 能田 伸彦: "自ら学ぶ図形の世界;先生・生徒・コンピュータが作る新しい授業" 筑波出版会, 167 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 清水 静海: "学ぶ意欲を育てる算数授業の創造" 明治図書, 94 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 能田伸彦: "巻頭言 算数・数学教育研究の問題点と改善への示唆" 日本数学教育学会誌 数学教育. 50・6. 1- (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 能田伸彦: "知識から智恵への「生きる力」の教育" 明治図書 現代教育科学. 482. 49-52 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 能田伸彦: "個性を生かす教育 算数・数学科授業での実践課題" 明治図書 現代教育科学. 480. 58-61 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 能田伸彦,中山和彦編著: "自ら学ぶ図形の世界先生・生徒・コンピュータか作る新しい授業 第1章,ジオワールド:新しい幾何の世界への招待" 筑波出版会, 168 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 能田伸彦: "Paradigm of the open approach method in mathematics teaching" Zentralblatt fur Didaktik der mathematik jahrgang. 23-2. (1991)

    • Related Report
      1995 Annual Research Report
  • [Publications] 原田耕平、能田伸彦: "幾何の証明問題の解決を支援するCabri-Geometryの利用-証明に妥当性を与える手段の分析-" 第28回日本数学教育学会論文発表会論文集. 513-518 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 垣花京子、清水克彦: "図形の証明問題での測定値の役割-コンピュータ環境下における誌との活動分析を通して-" 日本数学教育学会誌 数学教育. 49-5. 17-22 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 垣花京子、清水克彦、能田伸彦: "From Measurement to Confecture and Proof in Geometry Problems-Students'Use of Measurements in the computer Environment-" Proceedings of the 20th International Conference of PME. (予定). (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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