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A Study on Students' Understanding of Literal Symbols in School Mathematics

Research Project

Project/Area Number 12480032
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionTOKYO GAKUGEI UNIVERSITY

Principal Investigator

FUJII Toshiakira  Tokyo Gakugei University, Department of Education, Professor, 教育学部, 教授 (60199289)

Co-Investigator(Kenkyū-buntansha) NAKAMURA Takasi  Yamanashi Universfty, Department of Education and Human Sciences, Associate Professor, 教育人間学部, 助教授 (70303394)
SHIMIZU Yoshinori  Tokyo Gakugei University, Department of Education, Associate Professor, 教育学部, 助教授 (90226259)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥5,900,000 (Direct Cost: ¥5,900,000)
Fiscal Year 2002: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2001: ¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 2000: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsUnderstanding / Literal Symbols / Quasi-variable
Research Abstract

Many currently used approaches to early algebra appear to focus exclusively on introducing frame words and later literal symbols as devices for solving simple number sentences. What is often missing is that algebraic thinking necessarily involves students in patterns of generalized thinking. This study try to present several important approaches to introducing algebraic thinking in the elementary and junior high school curriculum using numerical expressions leading to a concept of a quasi-variable.
The educational value of quasi-variable reported at international conference held at Australia, University of Melbourne, December9-14, 2001, titled : Fostering an understanding of algebraic generalization through numerical expressions : The role of quasi-variable, in K.Stacey eds., the Future of the Teaching and Learning of Algebra (ISBN O-9579673-0-6)pp.258-264
Also, results of interview with children reported at international conference held at Singapore, titled : Coating a bridge between early algebra and arithmetic through quasi-variable expressions., May 27-31, 2002, in Proceedings of Mathematics Education for a Knowledge- Based Era, Vol.2, pp.78-86.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] 藤井 斉亮: "「式に表す」ことの困難性について"第33回数学教育論文発表会論文集. Vol.33. 349-354 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Fujii, M.Stephens: "Fostering : an understanding of algebraic generalization through numerical expressions The role of quasi-variable"The Future of the Teaching and Learning of Algebra. Vol.1. 258-264 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Fujii, M.Stephens: "Creating a bridge between early algebra and arithmetic through quasi-variable expressions"Mathematics Education for a Knowledge-Based Era. Vol.2. 78-86 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Fujii: "Difficulties in Expressing Mathematical Relabon with literal Symbols"Proceedings of Japan Mathematical Education Research Conference. 349-354 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Fujii & M.Stephens: "Fostering an understanding of algebraic generalization through numerical expressions : The role of quasi-variable"K.Stacey eds. The Future of the Teaching and Learning of Algebra. (ISBNO-9579673-0-6). 258-264 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Fujii & M.Stephens: "Creating abridge between early algebra and arithmetic through quasi-variable expressions"Proceedings of Mathematics Education for a Knowledge-Based Era. 2. 78-86 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤井 斉亮: "「式に表す」ことの困難性について"第33回数学教育論文発表会論文集. Vol.33. 349-354 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Fujii, M.Stephens: "Fostering an understanding of algebraic generalization through numerical expressions : The role of quasi-variable"The Future of the Teaching and Learning of Algebra. Vol.1. 258-264 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.FujiiI, M.Stephens: "Creating a bridge between early algebra and arithmetic through quasi -variable expressions"Mathematics Education for a Knowledge-Based Era. Vol.2. 78-86 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 藤井斉亮: "「式に表す」ことの困難性について"第33回数学教育論文発表会論文集. Vol.33. 349-354 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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