• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Exploring the structure of mental representation in fraction

Research Project

Project/Area Number 16K13472
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Educational psychology
Research InstitutionOsaka Prefecture University

Principal Investigator

Okamoto Masahiko  大阪府立大学, 人間社会システム科学研究科, 教授 (40254445)

Co-Investigator(Renkei-kenkyūsha) TANIDA Yuki  大阪大学, 連合小児発達学研究科, 特任助教 (80800218)
Project Period (FY) 2016-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords分数表象 / 基準分数 / 量の類似性効果 / 直後系列再生課題 / 教育系心理学 / 認知科学 / 実験系心理学
Outline of Final Research Achievements

A cognitive process of fraction is important topics in the domain of numerical development and mathematics education. But it was not had been clarified yet. The purpose of this study was to examine the mental representation of fraction for matured adult.
We used the immediate serial recall task to access one’s mental representation of fraction. A magnitude similarity effect in immediate serial recall task was obtained in the results from Study 1, 2 and 3. Those results suggested that a metal representation of fraction was also represented on the basis of magnitude information as same as whole number in our mind. But the relationship between magnitude similarity effect and performance in typical numerical tasks, magnitude decision and number line estimation, was inconsistent in our results. Those result suggested that a cognitive process of fraction was task specific. And the results from Study 4 and 5 with number line estimation task suggested common fraction were 1/2 and 1/3.

Report

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

    (7 results)

All 2018 2017

All Presentation (7 results) (of which Int'l Joint Research: 7 results)

  • [Presentation] Effect of denominator in the fraction on number line estimation: an exploration of the list of the basic fraction in Japanese university students.2018

    • Author(s)
      Taniguchi, S., Tanida, Y., & Okamoto, M.
    • Organizer
      40th Annual Meeting of the Cognitive Science Society.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Relationship between four measures reflecting representations of fraction magnitude in adults: number line estimation, comparison, calculation of fractions, and immediate serial recall of fractions.2017

    • Author(s)
      Yuki Tanida, Yu Koshima, and Masahiko Okamoto
    • Organizer
      The Annual Meeting of the Cognitive Science Society 2017
    • Place of Presentation
      Hilton London Metropole, London, UK
    • Year and Date
      2017-07-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] An exploration of the representation of fractional magnitude for each 0.1 using an immediate serial recall task.2017

    • Author(s)
      Yuki Tanida, Yu Koshima, and Masahiko Okamoto
    • Organizer
      The 2017 International Convention of Psychological Science.
    • Place of Presentation
      Austria Center Vienna, Vienna, Austria
    • Year and Date
      2017-03-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] The magnitude similarity effect on immediate serial recall of fractions.2017

    • Author(s)
      Yuki Tanida, Yu Koshima, and Masahiko Okamoto
    • Organizer
      Experimental Psychology Society 2017 London meeting
    • Place of Presentation
      University College London, London, UK
    • Year and Date
      2017-01-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relationship between four measures reflecting representations of fraction magnitude in adults: number line estimation, comparison, calculation of fractions, and immediate serial recall of fractions.2017

    • Author(s)
      Tanida, Y., Koshima,Y., & Okamoto, M.
    • Organizer
      39th Annual Meeting of the Cognitive Science Society.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] An attempt to investigate the anchor point of 1/2 for fraction magnitude representations using the number line estimation task.2017

    • Author(s)
      Taniguchi, S., Tanida, Y., & Okamoto, M.
    • Organizer
      20th Conference of the European Society for Cognitive Psychology.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exploration of Tasks Involving Numerical Magnitude Processes of Fractions: The Relationships Among Immediate Serial Recall, Magnitude Comparison, Number Line Estimation, and Calculation.2017

    • Author(s)
      Tanida, Y., Koshima,Y., & Okamoto, M.
    • Organizer
      Workshop:Linguistic and cognitive influences on numerical cognition
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research

URL: 

Published: 2016-04-21   Modified: 2019-03-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi