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On a Forming Process of a Model Theory on Fraction as School Mathematics; Focusing on a Textbooks Published from 1886 to 1904

Research Project

Project/Area Number 17530645
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Education on school subjects and activities
Research InstitutionNiigata University

Principal Investigator

OKANO Tsutomu  Niigata University, Institute of Humanities, Social Sciences and Education, Associate Professor (30233357)

Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥1,650,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
KeywordsArithmetic / Analyzing Textbooks / Textbook Authorization System / Fractions / School Mathematics / Primary Mathematics / Educational Contents / Textbooks / 算術教科書 / 明治検定期 / 教育内容構成原理 / 「理論流儀算術」 / 高等小学校 / 演算の意味 / 計算規則 / 除法 / 量と数
Research Abstract

The aim of this study is to clarify the a forming process of a model theory on fraction as a content of school mathematics by analyzing textbooks published from 1886 to 1904, when the Japanese government carried out the textbook authorization system.
In this project, the investigator analyzed the arithmetical textbooks from following points of views.
(1) Components of curriculum on fractions and the order of these components;
(2) Relationship between the explanations on the properties of integral numbers and fractions;
(3) The way in which the definitions and meanings of fractions are taught;
(4) The way in which the properties and order of fractions are taught;
(5) The way in which the four arithmetical operations (addition, subtraction, multiplication and division)of fractions are taught;
(6) The way in which the algebraic properties of fraction are taught;
The years from 1886 to 1904 can be divided into two periods. The first period is from 1886 to 1900. This Period is characterized by a formation of a model theory on fractions as primary mathematics (from 1886 to 1894) and its partial changes (from 1894 to 1900). The second period is from 1900 to 1904. This period is characterized by a formation of a model theory of fractions as school mathematics.
In the report of this project, the investigator gave a focus on the first half of the first period (from 1886 to 1894), and the clarified the characteristics of a model theory of fraction as primary mathematics by analyzing textbooks published in this period

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (11 results)

All 2007 2006 2005

All Journal Article (3 results) Presentation (8 results)

  • [Journal Article] 明治検定期算術教科書における分数除法の教育内容構成-第I期・前期の教科書を主要な対象として2007

    • Author(s)
      岡野 勉
    • Journal Title

      教授学の探究 第24号

      Pages: 139-172

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On the Characteristics of Educational Contents of Division of Fractions in the Textbooks Published from 1886 to 18942007

    • Author(s)
      OKANO, Tsutomu
    • Journal Title

      Didactical Research of Hokkaido University 24

      Pages: 139-172

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 明治検定期算術教科書における分数除法の教育内容構成 -第I期・前期の教科書を主要な対象として2007

    • Author(s)
      岡野 勉
    • Journal Title

      教授学の探究(北海道大学大学院教育学研究科教育方法学研究室編) 第24号

      Pages: 139-172

    • Related Report
      2006 Annual Research Report
  • [Presentation] 明治検定期算術教科書における教育内容構成研究の基本的観点-先行研究の批判的検討を通して-2006

    • Author(s)
      岡野 勉
    • Organizer
      日本数学教育史学会 第6回研究発表会
    • Place of Presentation
      広島大学
    • Year and Date
      2006-10-08
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the Fundamental Viewpoints for the Study of Educational Contents in the Textbooks Published from 1886 to 1904; through a Critical Examination on Prior Studies2006

    • Author(s)
      OKANO, Tsutomu
    • Organizer
      The 6th Annual Conference of Japan Society for Historical Studies in Mathematics Education
    • Place of Presentation
      Hiroshima University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 明治検定期算術教科書における分数除法の意味と規則に関する説明-第I期・前期の教科書を主要な対象として-2005

    • Author(s)
      岡野 勉
    • Organizer
      日本数学教育史学会 第5回研究発表会
    • Place of Presentation
      山梨大学
    • Year and Date
      2005-10-28
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 明治検定期算術教科書における分数除法の教育内容構成-第I期・前期の教科書を主要な対象として-2005

    • Author(s)
      岡野 勉
    • Organizer
      日本教育学会 第64回大会 自由研究発表
    • Place of Presentation
      東京学芸大学
    • Year and Date
      2005-08-25
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 明治検定期算術教科書における分数除法の意味と規則に関する説明-第I期・後期および第II期の教科書を主要な対象として-2005

    • Author(s)
      岡野 勉
    • Organizer
      日本教育方法学会 第41回大会 自由研究発表
    • Place of Presentation
      鹿児島大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the Characteristics of Educational Contents on Division of Fractions; Focusing on the Textbooks Published from 1886 to 18942005

    • Author(s)
      OKANO, Tsutomu
    • Organizer
      The 63th Annual Conference of the Japan Society for the Study of Education
    • Place of Presentation
      Tokyo Gakugei University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the Explanation on the meaning and the rule of Division of Fractions; Focusing on the Textbooks Published from 1894 to 19042005

    • Author(s)
      OKANO, Tsutomu
    • Organizer
      The 41th Annual Conference of National Association for the Study of Educational Methods
    • Place of Presentation
      Kagoshima University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the Explanation on the meaning and the rule of Division of Fractions ; Focusing on the Textbooks Published from 1886 to 18942005

    • Author(s)
      OKANO, Tsutomu
    • Organizer
      The 5th Annual Conference of Japan Society for Historical Studies in Mathematics Education
    • Place of Presentation
      Yamanashi University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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