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A Study on Understanding of Literal Expressions of Students in Junior High School Mathematics

Research Project

Project/Area Number 16H06834
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 Yamanashi

Principal Investigator

SHIMIZU Hiroyuki  山梨大学, 大学院総合研究部, 准教授 (80562446)

Project Period (FY) 2016-08-26 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords文字式の理解 / 方程式の立式 / 中学校数学 / 文字式 / 方程式 / 物としての文字の理解 / 科学教育 / 数学教育 / 文字式の理解研究 / 文字の理解
Outline of Final Research Achievements

This study aims to clarify the difficulty of students' understanding of algebraic expressions used in scenes of students' equations and propose learning and teaching to overcome the difficulty. Among the problems that were asked in the National Academic Assessment, we focused on the problem of distributing origami to students, where the correct answer rate was low.In this study, we conducted a questionnaire survey and interview survey for 1st to 3rd grade students at two public junior high schools and summarized the understanding of algebraic expressions of the students who can not formulate the equation in the problem.
As a result, the following three aspects were revealed. (1) letter as object replacing the word of the problem sentence, (2) letter as object replacing the numerical value based on the meaning of the numerical value, and (3) letter replacing the object itself.

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • Research Products

    (4 results)

All 2017 2016

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (2 results)

  • [Journal Article] 中学校数学における文字式の理解に関する研究2017

    • Author(s)
      清水宏幸
    • Journal Title

      日本数学教育学会数学教育論究

      Volume: 第99巻臨時増刊 Pages: 17-24

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 中学校数学における生徒の文字式の理解に関する研究2016

    • Author(s)
      清水宏幸
    • Journal Title

      日本数学教育学会第49回秋期研究大会発表収録集

      Volume: 1 Pages: 173-176

    • Related Report
      2016 Annual Research Report
  • [Presentation] 中学校数学における文字式の理解に関する研究2017

    • Author(s)
      清水宏幸
    • Organizer
      日本数学教育学会第50回秋期大会(愛知教育大学)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 中学校数学における生徒の文字式の理解に関する研究2016

    • Author(s)
      清水宏幸
    • Organizer
      日本数学教育学会秋期研究大会
    • Place of Presentation
      弘前大学(青森県弘前市)
    • Year and Date
      2016-10-29
    • Related Report
      2016 Annual Research Report

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Published: 2016-09-02   Modified: 2019-03-29  

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