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Development research on conjectures / proof in math. By cabri

Research Project

Project/Area Number 07551014
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section試験
Research Field Educaion
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) ISODA Masami  Univ. of Tsukuba Ins. Of Education, Assi. Prof., 教育学系, 講師 (70212967)
WATANABE Kimio  Univ. of Tsukuba Ins. Of Mathematics, Asso. Prof., 数学系, 助教授 (50015913)
SHIMIZU Shizumi  Univ. of Tsukuba Ins. Of Education, Asso. Prof., 教育学系, 助教授 (20115661)
SHIMIZU Katsuhiko  NIEResearch,Teaching Material Division, Head., 教育指導研究部, 教材研究室長 (00192609)
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)
Project Period (FY) 1995 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 1997: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1996: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsCabri-Geometry / Curriculum Study / Computer / 学校数学 / カリキュラム / 論証指導 / 日仏共同研究
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 Kakihara 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

    (33 results)

All Other

All Publications (33 results)

  • [Publications] 能田伸彦: "From Measurement to Confecture and Proof in Geomentry Problems -Students' Use of Measurements 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過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-Geometry in Geometrical 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: "Connecting・Mathematics with Machine Engineering and Art:Perspectives for Calculus and Geometry for All via Technology"Conputer Technology in Mathematical Reserch and Tcaching. 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 -Student 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 Curriculum 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 Curriculum 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 Curriculum 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 : -Perspectives for Caluculus 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. 1-167 (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: "Creativity Minds in school Arithmetic"Meiji Tosho Company. 1-94 (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 Confec turc and Proof in Geometry Problcms-Students' Use of Mensurcments in the Computer Enviroment-" 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課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課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課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-Gcometry in Geometrical Proof-Prlblem Solving:France-Japan Collabirative Research." The Journal of Science Education in Japan. 21・3. 172-182 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Masami Isoda: "Connecring Matnematics with Machind Engineering and Art:Perspectives for Calculus and Geomcrry for All via Tcchnology" Conputer Technology in Mothcmotical Research and Tcaching. 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] 日野 圭子: "一人の児童を通してみた数学的表記の内化の進髄の分析-比例的推論との関わりにおいて-(I)(I)" 日本数学教育学会誌算数教育. (印刷中). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] Keiko Hino: "Ratio and proportion : A case study of Construction of unit in U.S.and Tapanese students" 日本科学教育学会誌 科学教育研究. (印刷中). (1997)

    • Related Report
      1996 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 Fnvironment-" Proceedings of the 20th International Conference of PME. 20(3). 161-168 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Keiko Ito-Hino: "Hitimis meaning construction of table and algebraic expression of proportion during Instruction : A case study" Proceedings of the 20th International Conference of PME. 20(3). 113-120 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 清水 静海: "菊池大輔と藤澤利喜太郎の学力観『20世紀数学教育思想の流れ』(1996年報)" 産業図書、日本数学教育学会編, 340 (1997)

    • Related Report
      1996 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
      1996 Annual Research Report
  • [Publications] N. Nohda: "Using Dpen-ended Problems in mathematics" Zentralblatt fiir Piba der Mathematic. 27. 55-61 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] N. Nohda: "Computational Alternatives for the 21th Century 211" NCTM, 211 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 能田伸彦: "数字学学習の理論化へ向けて" 産業図書館, 346 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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