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The Role of Graphic Representations in the Modeling of Physical Space

Research Project

Project/Area Number 01580278
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 InstitutionOsaka Kyoiku University

Principal Investigator

HAZAMA Setsuko  Osaka Kyoiku University, Faculty of Education Associate Professor., 教育学部, 助教授 (40030382)

Co-Investigator(Kenkyū-buntansha) SENUMA Hanako.  National Institute for Educational Research, Research Center for Science Educati, 科学教育センター, 研究員 (30165732)
HASHIMOTO Yoshihiro  Osaka Kyoiku University, Faculty of Education, Associate professor., 教育学部, 助教授 (00030479)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywords3-D Figures / Graphic Representation / Polycube / Skeleton pyramid / Developmental characteristics / Means of communication / 発達的時徴 / 図表現
Research Abstract

A experimentation was set up to analyze some developmental aspects of pupils' graphical representations of 3-D objects in a communication situation. The task was done with students in a class simultaneously and at sifferent grade levels in school : Ist-6th grades in elementary school, 1st-3rd grades in lower secondary school and upper secondary school.
There are three tasks :
Task 1. Pupils are asked to write a message about a polycube, which is composed of 7 wooden cubes and is complex. Task 2. Pupils are asked to write a message about a skeleton pyramid. Task 3. Pupils are asked to extract available information from some given verbal or graphical description about a polycube and to compose actually it with some wooden cubes.
Pupils' graphical representations on Task 1 were andaised from the following view points :
1) Two characteristics of representations : The presentation of the state of the whole polycube and the representation of the construction of the polycube after breaking mentally it up in cubes. 2) Main means of representing (Verbal description, Perspective and Skeleton, Orthogonal projection, and Coded orthogonal projection) and Methods of constructing. 3) The legend and the supplementary information 4) The necessary spatial information for the polycube construction
On the base of pupils' graphical representations on Task 1 and 2, and relations of pupils' responses to Task 1 and 3, we have investigated some developmental aspects of pupils' graphical representations of 3-objects and the role of graphical representations on the developmental process.

Report

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

    (18 results)

All Other

All Publications (18 results)

  • [Publications] 狭間 節子: "立体の二次元表示についての一考察" 近畿数学教育学会会誌. 2. 31-36 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 瀬沼 花子: "児童・生徒によるポリキュ-ブの二次元表示の特徴とコミュニケ-ションの数学教育における意義" 日本科学教育学会研究会研究報告. 4ー1. 15-18 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 狭間 節子: "立体の二次元表示に関する調査研究" 日本数学教育学会第22回数学教育論文発表会論文集. 151-156 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 狭間 節子: "立体の二次元表示についての一考察(2)" 近畿数学教育学会会誌. 4. 48-55 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 橋本 是浩: "THE ROLE OF GRAPHICAL REPRESENTATIONS IN THE MODELING OF PHYSICAL SPACE ーーTHE REPRESENTATION OF A SKELETON PYRAMID (2)ーー" 空間認識と幾何教育についての日仏共同研究(研究資料集),研究代表者:澤田利夫. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 狭間 節子: "THE ROLE OF GRAPHICAL REPRESENTATIONS IN THE MODELISATION OF THE PHYSICAL SPACEーーTHE REPRESENTATION OF A POLYCUBEーー" 空間認識と幾何教育についての日仏共同研究(研究資料集),研究代表者:澤田利夫. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. HAZAWA, T. AKAI, N, TAKAI: "On Pupils' Development of Representations of 3-dimensional Figures on a Paper(1)" Journal of Kinki Society of Mathematics Education. No. 2. 31-36 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. SENUMA: "Characteristics of Polycubes' 2-Dimensional Representations by pupils and the Meanings of Communication in Mathematics Education" Research Reports of Japan Society for Science Education. Vol. 4, No. 1,. 15-18 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. HAZAMA, K. SHIGEMATSU, Y. HASHIMOTO, H. SENUMA, K. KAZAMA: "On Pupils' Development of Graphic Representations of 3-D objects" Reports of the 22-nd conference of Japan Society of Mathematical Education. 151-156 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. HAZAMA, H. SENUMA, K. KAZAMA, T. AKAI: "On Pupils' Development of Representations of 3-dimensional Figures on a Paper (2)" Journal of Kinki Society of Mathematics Education. NO. 4. 48-55 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 狭間 節子: "立体の二次元表示に関する調査研究" 日本数学教育学会第22回数学教育論文発表会論文集. 151-156 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] 狭間 節子: "立体の二次元表示に関する一考察(2)" 近畿数学教育学会会誌. 4. 48-55 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 重松 敬一: "THE ROLE OF GRAPHICAL REPRESENTATIONS IN TNE MODELING Of PHYSICAL SPACEーーTHE REPRESENTATION OF A SKELETON PYRAMID(1)ーー" 空間認識と幾何教育についての日仏共同研究(研究資料集)研究代表者:澤田利夫. 147-180 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 橋本 是浩: "THE ROLE OF GRAPHICAL REPRESENTATIONS IN TNE MODELING Of PHYSICAL SPACEーーTHE REPRESENTATION OF A SKELETON PYRAMID(2)ーー" 空間認識と幾何教育についての日仏共同研究(研究資料集),研究代表者:澤田利夫. 133-146 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 狭間 節子: "THE ROLE OF GRAPHICAL REPRESENTATIONS IN THE MODELISATION OF THE PHYSICAL SPACEーーTHE REPRESENTATION OF A POLYCUBEーー" 空間認識と幾何教育についての日仏共同研究(研究資料集),研究代表者:澤田利夫. 97-130 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 風間 喜美江: "空間図形の指導について" 日本数学教育学会会誌. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 狭間節子,重松敬一,橋本是浩,瀬沼花子,風間喜美江: "立体の二次元表示に関する調査研究" 第22回数学教育論文発表会論文集. 151-156 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 瀬沼花子: "児童・生徒によるポリキュ-ブの二次元表示の特徴とコミュニケ-ションの数学教育における意義ー課題学習の一例としてー" 日本科学教育学会研究会研究報告. 4ー1. 15-18 (1989)

    • Related Report
      1989 Annual Research Report

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

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