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Analysis and support of knowledge construction to facilitate children's mathematical problem solving and transfer abilities

Research Project

Project/Area Number 15330141
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Educational psychology
Research InstitutionAichi University of Education

Principal Investigator

NAKATSU Narao (2004-2005)  Aichi University of Education, Faculty of Education, Professor, 教育学部, 教授 (90133131)

多鹿 秀継 (2003)  愛知教育大学, 教育学部, 教授 (30109368)

Co-Investigator(Kenkyū-buntansha) TAJIKA Hidemitsu  Aichi University of Education, Faculty of Education, Professor, 教育学部, 教授 (30109368)
TAKEUCHI Yoshiaki  Aichi University of Education, Faculty of Education, Professor, 教育学部, 教授 (40216867)
NOZAKI Hironari  Aichi University of Education, Faculty of Education, Associate Professor, 教育学部, 助教授 (80275148)
ISHIDA Yasuhiko  Aichi University of Education, Faculty of Education, Associate Professor, 教育学部, 助教授 (10314064)
SAITO Hitomi  Aichi University of Education, Faculty of Education, Assistant Professor, 教育学部, 助手 (00378233)
池上 知子  愛知教育大学, 教育学部, 教授 (90191866)
中津 楢男  愛知教育大学, 教育学部, 教授 (90133131)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥13,600,000 (Direct Cost: ¥13,600,000)
Fiscal Year 2005: ¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2004: ¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2003: ¥6,800,000 (Direct Cost: ¥6,800,000)
Keywordsmathematical problem solving / knowledge transfer / self-explanation / sixth-grade children / computer tutor / matacognition / knowledge construction / 転移 / 国際研究者交流 / アメリカ / 算数文章題 / メータ認知 / コンピュータ支援 / 算数問題解決 / 小学生
Research Abstract

We have two goals of the present study. First, we want to analyze knowledge construction that facilitates mathematical problem-solving and transfer of sixth-grade children. Second, we want to develop a computer tutor on the basis of the above results and to help children improve their problem solving and transfer.
We conducted the survey study that was planned to examine metacognitive strategy factors in the problem solving processes. We found three types of metacognitive strategy factors. They were factors relating to selecting appropriate information from tasks, relating to monitoring problem solving, and relating to understanding problems.
Then, we focused on one of metacognitive strategies known as self-explanation. We had three similar experiments using self-explanation. Participants of the experiments were sixth-grade children. They were assigned to one of three groups, the self-explanation group, the self-learning group, or the control group. Children in the self-explanation group … More were asked to self-explain each solution step. Children in the self-learning group were asked to learn each step by themselves after a teacher had explained each solution step. Children in the control group were given the numerical expressions and the answers for the problems. A teacher explained about how to solve the problems including numerical expressions and the answers and then instructed children to understand how to solve them. The results of three experiments showed that children in self-explanation group outperformed both children in the self-learning group and the control group on the word problem test and the transfer test. Moreover, high explainers who generated more explanations and more fine-grained explanations outperformed low explainers. We interpreted these results as follows. By engaging in self-explanations during solving worked-out examples, sixth-grade children have to concentrate on both what they can understand and what they can not understand. Then, they draw inferences to repair incomplete understanding of the mathematical word problems. The self-explanation seems to improve mathematical problem solving and transfer by supporting the construction of problem representation according to children's prior knowledge during solving problems.
To achieve our second goal, we developed the computer tutor designed to improve learning from worked-out examples by supporting self-explanation. The computer tutor we had developed is innovative in one way. It represents the first attempt to provide computer support to a metacognitive strategy known as self-explanation for elementary school children. In the current study, we are now conducting the experiment how the computer tutor as a computer-based self-explanation system can help sixth-grade children solve mathematical word problems and transfer problems. Less

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (28 results)

All 2006 2005 2004 2003 Other

All Journal Article (22 results) Book (2 results) Publications (4 results)

  • [Journal Article] The effect of self-explanation on solving mathematical word problems2006

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      愛知教育大学教育実践総合センター紀要 9

      Pages: 9-16

    • NAID

      120001104674

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 自己説明を利用した算数の割合文章題の解決支援プログラム2006

    • Author(s)
      中津 楢男
    • Journal Title

      愛知教育大学研究報告 55

      Pages: 155-159

    • NAID

      110005001156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The effect of self-explanation on solving methematical word problems2006

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Bulletin of Educational Research and Curriculum Development of the Aichi University of Education 9

      Pages: 9-16

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Learning support program for solving mathematical word problems based on self-explanation2006

    • Author(s)
      Nakatsu, Narao
    • Journal Title

      Bulletin of Aichi University of Education 55

      Pages: 155-159

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 自己説明のための教材とその効果について2006

    • Author(s)
      中津 楢男
    • Journal Title

      情報処理学会全国大会論文集 68

      Pages: 433-434

    • NAID

      170000172083

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 自己説明を利用した算数の割合文章題の解決支援プログラム2006

    • Author(s)
      中津 楢男
    • Journal Title

      愛知教育大学研究報告 55(印刷中)

    • NAID

      110005001156

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Using a metacognitive strategy to solve mathematical word problems2005

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      愛知教育大学研究報告 54

      Pages: 1-9

    • NAID

      120001027286

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Using a metacognitive strategy to solve mathematical word problems2005

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Bulletin of Aichi University of Education 54

      Pages: 1-9

    • NAID

      120001027286

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Hints for arithmetic lectures from a viewpoints of cognitive psychology2005

    • Author(s)
      Tajika Hidetsugu
    • Journal Title

      An attractive Arithmatic(Meijitoshoshuppan Corporation) No.236-No.247

      Pages: 36-36

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 自己説明による算数文章題の解決の支援2005

    • Author(s)
      中津 楢男
    • Journal Title

      情報処理学会第67回全国大会論文集 4

      Pages: 347-348

    • NAID

      170000170906

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 算数問題解決におけるメタ認知方略の分析2004

    • Author(s)
      多鹿 秀継
    • Journal Title

      愛知教育大学教育実践総合センター紀要 7

      Pages: 19-26

    • NAID

      40006257176

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Differences in mathematical problem-solving skills berween Japanese and American children2004

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      愛知教育大学研究報告 53

      Pages: 73-83

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of metacognitive strategy for solving methematical word problems2004

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Bulletin of Educational Research and Curriculum Development of the Aichi University of Education 7

      Pages: 19-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Differences in mathematical problem-solving skills between Japanese and American children2004

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Bulletin of Aichi University of Education 53

      Pages: 73-83

    • NAID

      110001029763

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Development of Kanji Learning System for Disadvantage Students2004

    • Author(s)
      Hironari Nozaki
    • Journal Title

      ICCE 2004 Proceedings

      Pages: 2123-2126

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Educational Effects of Reflection on Problem Solving Processes : A Case of Information Seeking on the Web2004

    • Author(s)
      Hitomi Saito
    • Journal Title

      Proc. of Cognitive Science 2004

      Pages: 1191-1196

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 自伝的記憶と意味記憶の関連についての分析-言語連想課題を用いた実験的考察-2004

    • Author(s)
      野崎浩成
    • Journal Title

      日本心理学会第68回大会発表論文集

      Pages: 658-658

    • NAID

      110006425567

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 知識の構成と学習環境の開発2003

    • Author(s)
      多鹿 秀継
    • Journal Title

      愛知教育大学研究報告 52

      Pages: 101-108

    • NAID

      110000100060

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 心理学から見た知識の構成と教養教育2003

    • Author(s)
      多鹿 秀継
    • Journal Title

      教養と教育 3

      Pages: 1-10

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Knowledge construction and development of learning support environment2003

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Bulletin of the Aichi University of Education 52

      Pages: 101-108

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Knowledge construction and liberal arts in psychological aspects2003

    • Author(s)
      Tajika, Hidetsugu
    • Journal Title

      Liberal Arts and Education 3

      Pages: 1-10

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Effect of Self-Explanation on Solving Mathematical Word Problems

    • Author(s)
      Hidetsugu Tajika
    • Journal Title

      11^<th> Biennial EARLI Conference 2005 (発表予定)

    • NAID

      120001104674

    • Related Report
      2004 Annual Research Report
  • [Book] 楽しい算数の授業(認知心理学から見た算数授業へのヒント No.236-247)2005

    • Author(s)
      多鹿 秀継
    • Total Pages
      36
    • Publisher
      明治図書
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 楽しい算数の授業(「認知心理学から見た算数授業へのヒント」No.236-247)2005

    • Author(s)
      多鹿 秀継
    • Total Pages
      36
    • Publisher
      明治図書
    • Related Report
      2005 Annual Research Report
  • [Publications] 多鹿秀継: "算数問題解決に影響を与える知識の吟味"愛知教育大学研究報告. 第51輯. 53-60 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] 多鹿秀継: "知識の構成と学習環境の開発"愛知教育大学研究報告. 第52輯. 101-108 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 多鹿秀継: "算数問題解決におけるメタ認知方略の分析"愛知教育大学教育実践総合センター紀要. 第7号. 19-26 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 多鹿秀継: "Differences in mathematical problem-solving skills between, Japanese and American children"愛知教育大学研究報告. 第53輯. 71-78 (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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