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Study on a method to support learning of mathematical problem posing as a skill in problem solving

Research Project

Project/Area Number 25870820
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Educational technology
Learning support system
Research InstitutionTeikyo University

Principal Investigator

KOJIMA Kazuaki  帝京大学, 理工学部, 助教 (30437082)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords数学学習 / 作問 / 作問の失敗
Outline of Final Research Achievements

In situations of problem solving in everyday life, problem posing, a skill to recognize and formulate problems by the problem solvers themselves is indispensable. This study investigated and designed a method to improve learner problem posing in a domain of mathematical word problems. It empirically analyzed failures in problem posing by novice learners. The results revealed that some types of failures can be automatically evaluated by a computational system, whereas the other types cannot be. To decrease failures unable to be automatically evaluated, this study designed a learning activity to improve problem posing by learners. In the activity, learners evaluate examples of problems in prior to their problem posing. The experimental evaluation insisted that this activity was effective in improving learner problem posing to some extent. However, the effect was limited in decreasing failures. Therefore, this learning activity must be further improved.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • Research Products

    (6 results)

All 2015 2014 2013 Other

All Journal Article (1 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results)

  • [Journal Article] Experimental Study of Learning Support through Examples in Mathematical Problem Posing2015

    • Author(s)
      Kazuaki Kojima, Kazuhisa Miwa, Tatsunori Matsui
    • Journal Title

      Research and Practice in Technology Enhanced Learning

      Volume: 10

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] How Should Examples be Learned in a Production Task? An Experimental Investigation in Mathematical Problem Posing2014

    • Author(s)
      Kazuaki Kojima, Kazuhisa Miwa, Tatsunori Matsui
    • Organizer
      36th Annual Conference of the Cognitive Science Society
    • Place of Presentation
      Quebec City (Canada)
    • Year and Date
      2014-07-23 – 2014-07-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] 学習者の作問エラー診断のための実験的検討2014

    • Author(s)
      小島一晃, 三輪和久, 松居辰則
    • Organizer
      第71回人工知能学会先進的学習科学と工学研究会
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2014-07-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] How Should Examples be Learned in a Production Task? An Experimental Investigation in Mathematical Problem Posing2014

    • Author(s)
      Kazuaki Kojima, Kazuhisa Miwa, and Tatsunori Matsui
    • Organizer
      36th Annual Conference of the Cognitive Science Society
    • Place of Presentation
      Quebec City Convention Center (カナダ)
    • Related Report
      2013 Research-status Report
  • [Presentation] Empirical Study on Errors of Mathematical Word Problems Posed by Learners2013

    • Author(s)
      Kazuaki Kojima, Kazuhisa Miwa, and Tatsunori Matsui
    • Organizer
      Workshop W4 in 21st International Conference on Computers in Education
    • Place of Presentation
      Grand Inna Bali Beach Hotel (インドネシア)
    • Related Report
      2013 Research-status Report
  • [Presentation] 作問における例の学習方法が解法構造構築に与える影響の実験的検討

    • Author(s)
      小島一晃, 三輪和久, 松居辰則
    • Organizer
      第69回人工知能学会先進的学習科学と工学研究会
    • Place of Presentation
      慶応義塾大学日吉キャンパス(神奈川)
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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