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2013 Fiscal Year Final Research Report

A Study of Teaching Strategy Improving Reasoning of the Students that Produce "Incomplete Proof" at Junior High School Level

Research Project

  • PDF
Project/Area Number 24730722
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Education on school subjects and activities
Research InstitutionUtsunomiya University

Principal Investigator

MAKINO TOMOHIKO  宇都宮大学, 教育学部, 准教授 (10450157)

Project Period (FY) 2012-04-01 – 2014-03-31
Keywords各教科の教育(算数・数学)
Research Abstract

This study aims to identify cognitive factor and thinking in "bridging process" performed by the students that produce "incomplete proof" in solving the proof-problem of junior high school mathematics and to find instructional points fostering students' "bridging process". This study constructed the framework that consists of two poles as "hypothetical bridging" and "coordination" and analyzed data gathered through interview survey.
As a result, this study identified cognitive characteristics of the students that produce "incomplete proof" and suggested instructional procedures that could improve student's proving performance.

  • Research Products

    (6 results)

All 2013 2012

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

  • [Journal Article] 未完成な証明を生成する生徒の認知的特徴を分析する視点2013

    • Author(s)
      牧野智彦
    • Journal Title

      第46回日本数学教育学会秋期研究大会発表集録

      Pages: 361-362

  • [Journal Article] 中学校数学での証明の「架橋過程」を妨げる認知的要因2012

    • Author(s)
      牧野智彦
    • Journal Title

      第45回日本数学教育学会数学教育発表会論文集

      Pages: 875-880

  • [Journal Article] 中学生が生成する「未完成な証明」を特徴付ける観点について2012

    • Author(s)
      牧野智彦
    • Journal Title

      宇都宮大学教育学部教育実践総合センター紀要

      Volume: 35巻 Pages: 293-298

  • [Presentation] 未完成な証明を生成する生徒の認知的特徴を分析する視点2013

    • Author(s)
      牧野智彦
    • Organizer
      日本数学教育学会,第46回秋期研究大会発表集録
    • Place of Presentation
      宇都宮大学
    • Year and Date
      2013-11-07
  • [Presentation] 中学校数学での証明の「架橋過程」を妨げる認知的要因2012

    • Author(s)
      牧野智彦
    • Organizer
      日本数学教育学会,第45回数学教育発表会論文集
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2012-11-11
  • [Presentation] Japanese Students'Cognitive Difficulty in Bridging Process to Construct Geometrical Proof2012

    • Author(s)
      MAKINO Tomohiko
    • Organizer
      ICME-12,The 12th International Congress on Mathematical Education
    • Place of Presentation
      COEX, Seoul, Korea
    • Year and Date
      2012-07-13

URL: 

Published: 2015-06-25  

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