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Developmental path from whole number to fraction and decimal fraction in elementary mathematics.

Research Project

Project/Area Number 24653183
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Educational psychology
Research InstitutionOsaka Prefecture University

Principal Investigator

OKAMOTO Masahiko  大阪府立大学, 人間社会学部, 教授 (40254445)

Co-Investigator(Kenkyū-buntansha) KAWAZOE Mitsuru  大阪府立大学, 高等教育推進機構, 教授 (10295735)
KOJIMA Atsuhiro  大阪府立大学, 現代システム科学域, 准教授 (80291607)
Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords数表象 / 分数 / 整数 / 大小判断課題 / 数感覚 / 教授法
Research Abstract

We examined that are there continuity from whole number to decimal fraction and from whole number to fraction or not in this study. The participants in this study were one hundred 3rd graders, one hundred twenty-two 4th graders, and eighty-nine 5th graders children. They were asked to answer a magnitude decision task for each three numbers; whole number, decimal fraction and fraction. A magnitude decision task was carried out on an original iPod application. The result showed that a correlation coefficient between whole number and decimal fraction was very strong and significant for all grades, but a coefficient between whole number and fraction was relative weak and it was not significant for 5th graders. These results indicated that there is continuity from whole number to decimal fraction, but there is discontinuity from whole number to fraction. And those suggested children did not use same number sense for whole number

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • Research Products

    (4 results)

All 2014 2013 2012 Other

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

  • [Journal Article] A continuity or discontinuity from whole number to decimal fraction and fraction in elementary school in japan2014

    • Author(s)
      OKAMOTO Masahiko, KAWAZOE Mitsuru, KOJIMA Atsuhiro, and MAKIOKA Shougo
    • Journal Title

      Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Is the breaking point in metal number line in Japanese children five or ten?2012

    • Author(s)
      OKAMOTO Masahiko and NAKAMURA Sari
    • Journal Title

      Proceedings of the 34th Annual Meeting of the Cognitive Science Society

      Pages: 2824-2824

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Presentation] 小学校算数における数感覚の連続性・非連続性–整数から小数・分数へのパス-2013

    • Author(s)
      岡本真彦・川添充・小島篤博
    • Organizer
      第15回認知発達フォーラム
    • Place of Presentation
      エル・おおさか
    • Year and Date
      2013-07-21
    • Related Report
      2013 Final Research Report
  • [Remarks]

    • URL

      http://www.hs.osakafu-u.ac.jp/~okamoto/

    • Related Report
      2013 Final Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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