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Improving the teaching and learning equations in school mathematics

Research Project

Project/Area Number 15H06069
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Education on school subjects and activities
Research InstitutionUniversity of Tsukuba

Principal Investigator

ENOMOTO Satoshi  筑波大学, 人間系, 特任研究員 (60758811)

Project Period (FY) 2015-08-28 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords二元一次方程式 / 一次関数 / 変数 / 文字 / 数学的概念の二面性 / 文字の見方 / 方程式 / 関数 / 科学教育 / 数学教育 / 代数学習 / 数学教育学
Outline of Final Research Achievements

The teaching and learning algebra should be central to school mathematics. However, the content of algebra is difficulty for many students. The overall purpose of this study is to improve the teaching and learning algebra for breaking through this situation. In particular, this study focuses a hypothetical learning process leading to liner equation with two unknown. We analyse the scene in which students must change the liner equation of "equality" into the liner equation of "functional relationship" in textbook. Through that analysis, we examined the relationship between equations and function, and showed the necessity of consistent guidance of teaching in the sense of letters in equations.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • Research Products

    (5 results)

All 2017 2016 2015

All Journal Article (2 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (3 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] 小学校算数科における代数的思考の育成に関する研究動向:米国における事例をもとに2017

    • Author(s)
      榎本哲士
    • Journal Title

      新しい算数研究

      Volume: 平成29年1月号 Pages: 36-37

    • Related Report
      2016 Annual Research Report
  • [Journal Article] 中学校数学科における二元一次方程式の関数的見方に関する理論的分析:数学的概念の二面性を視点として2015

    • Author(s)
      榎本哲士
    • Journal Title

      教材学研究

      Volume: 第26巻 Pages: 49-56

    • NAID

      130005167440

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] An Comparison of Learning Trajectory in Textbooks : Focused on a Japanese Junior High School Textbook and CIA2016

    • Author(s)
      Satoshi ENOMOTO
    • Organizer
      The 13th International Congress on Mathematical Education
    • Place of Presentation
      University of Hamburg
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] AN COMPARISON OF LEARNING TRAJECTORY IN TEXTBOOKS: FOCUSED ON A JAPANESE JUNIOR HIGH SCHOOL TEXTBOOK AND CIA2016

    • Author(s)
      Satoshi Enomoto
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      University of Hamburg(German・Hamburg)
    • Year and Date
      2016-07-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 代数学習における式の見方の変容に関する一考察2015

    • Author(s)
      榎本哲士
    • Organizer
      日本数学教育学会 第48回秋期研究大会
    • Place of Presentation
      信州大学(長野県・長野市)
    • Year and Date
      2015-11-07
    • Related Report
      2015 Annual Research Report

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Published: 2015-08-26   Modified: 2018-03-22  

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