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2000 Fiscal Year Final Research Report Summary

A study of Multi-World Paradigm in Mathematics Learning

Research Project

Project/Area Number 10680276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教科教育
Research InstitutionHiroshima University

Principal Investigator

NAKAHARA Tadao  Education Hiroshima University Professor, 教育学部, 教授 (90034818)

Co-Investigator(Kenkyū-buntansha) YAMAGUCHI Takeshi  Fukuoka Univ.of Edu., Edu., Associate Pro., 教育学部, 助教授 (60239895)
KOYAMA Masataka  Edu.Hiroshima University Associate Pro., 教育学部, 助教授 (30186837)
SASAKI Tetsuro  Aichi Univ.of Edu., Edu., Associate Pro., 教育学部, 助教授 (20170681)
Project Period (FY) 1998 – 2000
KeywordsRadical constructivism / Interactionism / Socioculturism / Multi-World-paradigm / Complementarity
Research Abstract

Lately, the mathematical education is under significant influence of three thoughts including radical constructivism, interactionism, and socioculturism and a lot of studies are being conducted on the mathematical education based on each of such paradigms or combinations thereof.
They have a common aspect : all of three thoughts view that children's activities play very important roles in mathematical learning, and they position social interaction as an important means in learning. On the other hand, they have distinct differences in any of the views of cognition, language, and learning.
However, in the observations and analyses of children's practical activities in mathematical learning, various phases which could be explained by each of the three thoughts are frequently seen at the same class.
While radical constructivism, interactionism and socioculturirm, are mutually conflicting theoretically, it is considered unavoidable to integrate and coordinate the three thoughts in order to explain the realities of learning in fair manner. A flexible paradigm is required from a practical point of view that would coordinate them, be mutually complementing, and be beyond common notions.
The authors constructed such paradigm and call it the multi-world paradigm in mathematical learning. It contains the three worlds of the radical constructivism, interactionism, and socioculturism. We have tried to study theoretical as well as practical study of mathematical learning based on the multi-world paradigm.

  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] 中原忠男: "数学学習の多世界パラダイム(1)-多世界パラダイムの構築-"第32回数学教育論文発表会論文集. 32巻. 361-366 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tadao NAKAHARA: "Mccltc-World Pardigin in Mathematics clearning (1)"Hiroshima Journal of Mathematics Education. 8. 1-10 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中原忠男: "算数学習の多世界パラダイム"学校教育. 1000. 48-51 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masataka KOYAMA: "A Research on the Validity and Effectiveness of "Two-Ares Process Model" of Understanding Mathematics at Elementary School Level"Hiroshima Journal of Mathematics Education. 9. 1-8 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小山正孝 他: "新しい教育課程の創造-教科学習と総合的学習の構造化-"教育出版株式会社. 224 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tadao Nakahara: "Multi-World Paradigm in Mathematical Learning"Proceeding of the 32th Annual Conrerence of JASE.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tadao Nakahara, Tetsuro Sasaki, Tasataka Koyama and Takeshi Yamaguchi: "Multi-World Paradigm in Mathematical Learning (1) : An Analysis of Mathematics Classes"Hiroshima Journal of Mathematics Education. Vol.8. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tadao Nakahara: "Multi-World Paradigm in Arithmetic Learning"School Education. No.1000. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masataka Koyama: "A Research on the Validity and Effectiveness of "Two-Axes Process Model" of Understanding Mathematics at Elementary School Level"Hiroshima Journal of Mathematics Education. Vol.9. (2001)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2002-03-26  

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