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Improuvement of teaching geometrical reasoning in junior hight school

Research Project

Project/Area Number 05301100
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 教科教育
Research InstitutionOsaka Kyoiku University

Principal Investigator

HASHIMOTO Yoshihiro  Osaka Kyouiku University assistant professor, 教育学部, 助教授 (00030479)

Co-Investigator(Kenkyū-buntansha) IIJIMA Yasuyuki  Aichi University of Education, Dep.of Education, assistant professor, 教育学部, 助教授 (30202815)
ISODA Masami  Tukuba University, Dep.of Education, instructor, 教育学系, 講師 (70212967)
NHODA Nobuhiko  Tukuba University, Dep.of Education, professor, 教育学系, 教授 (80020121)
HAZAMA Setuko  Osaka Kyouiku University professor, 教育学部, 教授 (40030382)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥4,400,000 (Direct Cost: ¥4,400,000)
Fiscal Year 1995: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1994: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1993: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywordsgeometrical education / initiation to geometrical reasoning / role of drawing / construction / spatial figure / Geometric Constructor / figural concept / van Hiele's level / figural concept / van Hieleの思考水準 / 図形の論証指導 / 幾何 / 論証 / 思考水準 / van Hiele
Research Abstract

Understanding the meaning of geometrical reasoning is neccesary to understand the role of figures in geometrical proof, and understanding the role of figures in geometrical proof is also neccesary to understand the meaning of geometrical reasoning. We choice to start to understand the role of figures in geometrical proof, namely Fischbein's figural concepts, in order to initiate to learning the geometrical reasoning.
Our learning plan has two cases, using 'Geometric Constructor' (a computer soft maken by Iijima), and, using spatial figures and construct problems.
We practice each teaching plan for junior high school 2nd students. As one example of results of our teaching practice, the rate of students, who can wright a correct reason why a rectangle is a trapezoid, is 2% in the pretest and is 47% in the posttest. The right answer rate of the same qestion by 3rd grade students, who were 388 in Hokkaido, Tokyou, Aichi and Osaka, was 17%. Therefore, we think our teaching plan is effective.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 飯島康之: "「数学的探求=F(環境)の研究」としてのコンピュータ利用の研究" イプシロン. 37. 33-57 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 磯田正美・他: "Geometric Constructorを活用した図形の指導" 数学教育. 150-178 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 橋本是浩・他: "論証導入期の指導について" 第28回数学教育論文発表会論文集. 401-405 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 橋本是浩・他: "中学校図形における論証導入期の指導について" 大阪教育大学記要. V・44. 197-214 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Iijima: "Using a Computer as "Study of Mathematical Investigation=F (situation)"" EPSYRON. vol.37. 33-57 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Isoda, et al: "Geometrical Teaching by using 'Geometric Constructor'" Mathematical Education.150-178 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hashimoto, et al: "Initiation to Geometrical Reasoning" Proceedings of tthe 28th Mathematical Education.401-405 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hashimoto, et al: "Teaching for Initiation to Geometrical Reasoning in Junior High School" Memories of Osaka Kyouiku University Ser.V. vol.43, No.2. 197-214 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 飯島康之: "「数学的探究=F(環境)の研究としてのコンピュータ利用の研究" イプシロン. 37. 33-57 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 礒田正美・他: "Geometric Constructorを活用した図形の指導" 数学教育. 150-178 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 橋本是浩・他: "論証導入期の指導について." 第28回数学教育論文発表会論文集. 401-405 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 橋本是浩・他: "中学校図形における論証導入期の指導について" 大阪教育大学記要. V.44. 197-214 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 飯島 康之: "数学的探究の記録としてのマルチメディア・ハイパーメディアソフトの可能性" 愛知教育大学教科教育センター研究報告. 19. 221-220 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 磯田 正美: "意味と手続きによる小単元構成" 明治図書、算数教育. No,466. 105-109 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 橋本 是浩: "阿部先生が遺されたもの" 数学教育研究. 23. 145-150 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 磯田 正美: "中学校数学科教育実践講座第5巻,空間と図形" ニチブン, 162-169 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Hashimoto,Yoshihiro: "Results of examination using van Hiele theory:Japanese case." Pro.of the 7th International Conference for the Psychology of Mathematics Education. III. 257 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Hashimoto,Yoshihiro: "The attained geometry curriculum in Japan and Hawaii relative to the van Hiele theory" Pro.of the 7th International Conference for the Psychology of Mathematics Education. II. 129-135 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Hazama,Setsuko: "Pupil's development of graphical Represent at ions of 3-dimensional figures" Pro.of the 7th International Conference for the Psychology of Mathematics Education. II. 161-168 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Isoda,Masami: "A study of evaluation in relation to Mathematical problem solving" Pro.of the 7th International Conference for the Psychology of Mathematics Education. III. 227 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 礒田 正美: "問題設定へのGCの活用とその意義" 教育科学「数学教育」(明治図書). 432. 88-97 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 飯島 康之: "作図ツールの導入に伴う学習活動の変化" イプシロン. 35. 50-61 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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