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

Developing multilingual systems for supporting proof learning to improve the international learning situation

Research Project

Project/Area Number 22330245
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Education on school subjects and activities
Research InstitutionShinshu University

Principal Investigator

MATSUOKA Yasushi  信州大学, 教育学部, 教授 (50135117)

Co-Investigator(Kenkyū-buntansha) MIYAZAKI Mikio  信州大学, 教育学部, 教授 (10261760)
DU Wei  秋田大学, 教育文化学部, 教授 (30240683)
MIYAKAWA Takeshi  上越教育大学, 学校教育研究科, 准教授 (30375456)
宮崎 紀枝  佐久大学, 看護学部, 准教授 (50349172)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2013: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2012: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Keywords論証 / 学習支援システム / 多言語 / 英語 / 中国語 / カリキュラム
Research Abstract

The purpose of this study is to develop multilingual (English / Chinese) systems available internationally for supporting the proof learning in order to improve the international learning situation of proof. To achieve this purpose, for the Japanese version of the already developed, with the addition of video content of manipulative demonstrations and the implementation of the functions to register the users, incorporating the content in Teacher's Guide book already. On the basis of these outcomes, referring to the curriculum and textbooks of Chinese and English-speaking countries, we have developed the Chinese version and English version of proof learning support system.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (56 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (31 results) (of which Peer Reviewed: 23 results) Presentation (19 results) Book (2 results) Remarks (4 results)

  • [Journal Article] FUNCTIONS OF OPEN FLOW- CHART PROVING IN INTRODUCTORY LESSONS OF FORMAL PROVING2014

    • Author(s)
      Mikio Miyazaki, Taro Fujita, Keith Jones
    • Journal Title

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

      Volume: (印刷中)

    • NAID

      120007100961

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] FUNCTIONS OF OPEN FLOW-CHART PROVING IN INTRODUCTORY LESSONS OF FORMAL PROVING2014

    • Author(s)
      Mikio Miyazaki, Taro Fujita, Keith Jones
    • Journal Title

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

      Volume: 印刷中

    • NAID

      120007100961

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Developing mathematics teacher knowledge : the paradidactic infrastructure of "open lesson" in Japan2013

    • Author(s)
      T. Miyakawa, C. Winslow
    • Journal Title

      Journal of Mathematics Teacher Education

      Volume: 16(3) Pages: 185-209

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 幾何領域における証明の存在理由 : フランスと日本の場合2013

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌 数学教育学論究

      Volume: 95 Pages: 345-352

    • NAID

      130008018968

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 課題探究として証明することのカリキュラム開発:我が国の中学校数学科における必要性と,これまでの成果2013

    • Author(s)
      宮崎樹夫,藤田太郎
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 1 Pages: 1-8

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 課題探究として証明することのカリキュラム開発:中学校第2学年数学科の領域「数と式」及び「図形」における学習の構想2013

    • Author(s)
      宮崎樹夫,佐々祐之,辻山洋介
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 1 Pages: 17-24

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Developing mathematics teacher knowledge: the paradidactic infrastructure of "open lesson" in Japan2013

    • Author(s)
      T. Miyakawa, C. Winslow
    • Journal Title

      Journal of Mathematics Teacher Education

      Volume: 16(3) Issue: 3 Pages: 185-209

    • DOI

      10.1007/s10857-013-9236-5

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 幾何領域における証明の存在理由 ~フランスと日本の場合~2013

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌 数学教育学論究

      Volume: 95 Pages: 345-352

    • NAID

      130008018968

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012

    • Author(s)
      Miyazaki M., Kimiho C., Katoh R., Arai H., Ogihara F., Oguchi Y., Morozumi T., Kon M., and Komatsu K
    • Journal Title

      International Journal for Technology in Mathematics Education

      Volume: 19(2) Pages: 73-79

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Introducing the structure of proof in lower secondary school geometry : a learning progression based on flow-chart proving2012

    • Author(s)
      Miyazaki M., Fujita T., Jones D. K
    • Journal Title

      Proceedings of the 12th International Congress on Mathematical Education(ICME-12)

      Volume: 1 Pages: 2858-2867

    • NAID

      120007100960

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Proof in geometry : a comparative analysis of French and Japanese textbooks2012

    • Author(s)
      Miyakawa T
    • Journal Title

      Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education

      Volume: 3 Pages: 225-232

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Introducing the structure of proof in lower secondary school geometry: a learning progression based on flow-chart proving2012

    • Author(s)
      Miyazaki, M., Fujita, T., & Jones, D. K.
    • Journal Title

      Proceedings of the 12th International Congress on Mathematical Education(ICME-12)

      Volume: 1 Pages: 2858-2867

    • NAID

      120007100960

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 中学校数学における課題探究としての証明学習カリキュラムに関する研究:カリキュラム開発のための枠組みの構築2012

    • Author(s)
      宮崎樹夫,永田潤一郎,茅野公穂
    • Journal Title

      日本数学教育学会 第45回数学教育論文発表会論文集

      Volume: 1 Pages: 537-542

    • NAID

      120007100509

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Proof in geometry: a comparative analysis of French and Japanese textbooks2012

    • Author(s)
      Miyakawa T.
    • Journal Title

      Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education

      Volume: 3 Pages: 225-232

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フランス前期中等学校平面幾何領域における証明の生態~教科書分析から~2012

    • Author(s)
      宮川 健
    • Journal Title

      日本数学教育学会誌数学教育

      Volume: 94(9) Pages: 2-11

    • NAID

      110009518185

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 「手続きの説明」の学習における伝言ゲームの可能性 ~中学校図形領域にお ける教授実験を通して~2012

    • Author(s)
      石川実,宮川健
    • Journal Title

      日本数学教育学会誌数学教育

      Volume: 94(11) Pages: 2-11

    • NAID

      110009554308

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 中国の義務教育新数学教育課程2012

    • Author(s)
      杜威
    • Journal Title

      数学教育(日本数学教育学会誌)

      Volume: 第94巻第3号 Pages: 26-30

    • NAID

      130008018814

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フランスを起源とする数学教授学~「学」としての性格~2012

    • Author(s)
      宮川健
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 18(2) Pages: 119-123

    • NAID

      110009616233

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Supporting students to overcome circular arguments in secondary school mathematics : the use of the flowchart proof learning platform2011

    • Author(s)
      Fujita T, Jones K, Miyazaki M
    • Journal Title

      Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education

      Volume: 2 Pages: 353-360

    • NAID

      120007100959

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 中国の高等学校数学教科書2011

    • Author(s)
      杜威
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 93(9) Pages: 33-36

    • NAID

      110008728319

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] フランスの高等学校数学教科書2011

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 93(7) Pages: 43-47

    • NAID

      110008687182

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 中国の高等学校数学教科書2011

    • Author(s)
      杜威
    • Journal Title

      数学教育(日本数学教育学会誌)

      Volume: 第93巻第9号 Pages: 33-36

    • NAID

      110008728319

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フランスを起源とする数学教授学の「学」としての性格~わが国における「学」としての数学教育研究をめざして~2011

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌『数学教育学論究』

      Volume: 94 Pages: 37-68

    • NAID

      110008662077

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フランスの高等学校数学教科書2011

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌『数学教育』

      Volume: 93(7) Pages: 43-47

    • NAID

      110008687182

    • Related Report
      2011 Annual Research Report
  • [Journal Article] フランス前期中等学校数学における証明の生態(2)~国定カリキュラムの分析から~2011

    • Author(s)
      宮川健
    • Journal Title

      第44回数学教育論文発表会論文集

      Volume: 2 Pages: 801-806

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 手続きの説明の学習における伝言ゲームの可能性~予備実験のデータ分析から~2011

    • Author(s)
      石川実, 宮川健
    • Journal Title

      第44回数学教育論文発表会論文集

      Volume: 2 Pages: 705-710

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フランス数学教授学の立場から見た「授業」の科学的探究2011

    • Author(s)
      宮川健
    • Journal Title

      第44回数学教育論文発表会論文集

      Volume: 1 Pages: 51-60

    • Related Report
      2011 Annual Research Report
  • [Journal Article] フランスの算数・数学教科書2010

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 92(4) Pages: 27-31

    • NAID

      110007621653

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Students' understanding of the structure of proof : Why do students accept a proof with logical circularity?2010

    • Author(s)
      Miyazaki M, Fujita T
    • Journal Title

      The 5th East Asia Regional Conference on Mathematics Education

      Pages: 172-179

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Students' understanding of the structure of proof: Why do students accept a proof with logical circularity?2010

    • Author(s)
      Miyazaki, M., Fujita, T.
    • Journal Title

      The 5th East Asia Regional Conference on Mathematics Education

      Volume: 2 Pages: 172-179

    • Related Report
      2010 Annual Research Report
  • [Journal Article] フランスの算数・数学教科書2010

    • Author(s)
      宮川健
    • Journal Title

      日本数学教育学会誌

      Volume: 92(4) Pages: 27-31

    • NAID

      110007621653

    • Related Report
      2010 Annual Research Report
  • [Presentation] FUNCTIONS OF OPEN FLOW-CHART PROVING IN INTRODUCTORY LESSONS OF FORMAL PROVING2014

    • Author(s)
      Mikio Miyazaki, Taro Fujita, Keith Jones
    • Organizer
      International Group for the Psychology of Mathematics Education
    • Place of Presentation
      The University of British Columbia
    • Related Report
      2013 Annual Research Report
  • [Presentation] 中等教育を一貫する数学的活動に基づく論証指導カリキュラムの開発研究: 局所的組織化を捉える理論的枠組みの設定2014

    • Author(s)
      真野祐輔,宮川健,岩崎秀樹,國宗進,溝口達也,石井英真,阿部好貴
    • Organizer
      全国数学教育学会第39回研究発表会
    • Place of Presentation
      広島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 中学校数学における, フローチャート証明学習支援システムの改良 : ゲーミフィケーションの試み2013

    • Author(s)
      宮崎樹夫, 遠藤美奈, 大島正人, 後藤稚佳子, 村上陽一
    • Organizer
      日本科学教育学会年会
    • Place of Presentation
      三重大学
    • Year and Date
      2013-09-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Learning congruency- based proofs in geometry via a web- based learning system2013

    • Author(s)
      Keith Jones, Taro Fujita, Mikio Miyazaki
    • Organizer
      British Society for Research into Learning Mathematics
    • Place of Presentation
      Sheffield Hallam University
    • Year and Date
      2013-06-02
    • Related Report
      2013 Final Research Report
  • [Presentation] Comparative study on proof in geometry : an analysis of textbooks of France, USA, and Japan2012

    • Author(s)
      Miyakawa T
    • Organizer
      The 12th International Congress on Mathematical Education(ICME-12)
    • Place of Presentation
      Soul, Korea
    • Related Report
      2013 Final Research Report
  • [Presentation] Introducing the structure of proof in lower secondary school geometry: a learning progression based on flow-chart proving2012

    • Author(s)
      Miyazaki, M., Fujita, T., & Jones, D. K.
    • Organizer
      The 12th International Congress on Mathematical Education(ICME-12)
    • Place of Presentation
      Soul, Korea
    • Related Report
      2012 Annual Research Report
  • [Presentation] 中学校数学における課題探究としての証明学習カリキュラムに関する研究:カリキュラム開発のための枠組みの構築2012

    • Author(s)
      宮崎樹夫,永田潤一郎,茅野公穂
    • Organizer
      日本数学教育学会 第45回数学教育論文発表会
    • Place of Presentation
      奈良市
    • Related Report
      2012 Annual Research Report
  • [Presentation] Comparative study on proof in geometry: an analysis of textbooks of France, USA, and Japan2012

    • Author(s)
      Miyakawa T.
    • Organizer
      ICME-12, ポスター発表
    • Place of Presentation
      韓国ソウル COEX
    • Related Report
      2012 Annual Research Report
  • [Presentation] 学校数学における証明の基礎的学習に関する研究:証明の構造に基づく関係的な学習で新たに必要となる活動に着目して2011

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会 第44回数学教育論文発表会
    • Place of Presentation
      上越教育大学
    • Year and Date
      2011-11-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Secondary school mathematics learners constructing geometric flow-chart proofs with a web-based learning support system2011

    • Author(s)
      Miyazaki M., Fujita T., Murakami Y., Baba N, Jones K
    • Organizer
      10th International Conference on Technology in Mathematics Teaching
    • Place of Presentation
      University of Portsmouth
    • Year and Date
      2011-07-08
    • Related Report
      2013 Final Research Report 2011 Annual Research Report
  • [Presentation] フランスを起源とする数学教授学~「学」としての性格~2011

    • Author(s)
      宮川健
    • Organizer
      全国数学教育学会第34回研究発表会
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2011-06-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] 学校数学における証明の基礎的学習に関する研究:証明の構造に基づく関係的な学習に必要な活動に着目して2010

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会第43回数学教育論文発表会
    • Place of Presentation
      宮崎大学(宮崎市)
    • Year and Date
      2010-11-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] フランス前期中等教育における証明の生態-平面幾何領域における教科書分析から-2010

    • Author(s)
      宮川健
    • Organizer
      日本数学教育学会第43回数学教育論文発表会
    • Place of Presentation
      宮崎大学(宮崎市)
    • Year and Date
      2010-11-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] 中学校数学におけるフローチャート証明の学習支援システムの開発 : ディジタルコンテンツ及びその編成の特徴2010

    • Author(s)
      宮崎樹夫, 他3名
    • Organizer
      日本科学教育学会第34回年会
    • Place of Presentation
      広島大学(東広島市)
    • Year and Date
      2010-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] 中学校数学におけるフローチャート証明の学習支援システムの開発:ディジタルコンテンツ及びその編成の特徴2010

    • Author(s)
      宮崎樹夫, 他3名
    • Organizer
      日本科学教育学会第34回年会
    • Place of Presentation
      広島大学(東広島市)
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] 課題探究として証明することのカリキュラム開発:我が国の中学校数学科における必要性と,これまでの成果

    • Author(s)
      宮崎樹夫,藤田太郎
    • Organizer
      日本数学教育学会 第1回春期研究大会
    • Place of Presentation
      筑波大学(東京キャンパス)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 課題探究として証明することのカリキュラム開発:中学校第2学年数学科の領域「数と式」及び「図形」における学習の構想

    • Author(s)
      宮崎樹夫,佐々祐之,辻山洋介
    • Organizer
      日本数学教育学会 第1回春期研究大会
    • Place of Presentation
      筑波大学(東京キャンパス)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 中学校数学における,フローチャート証明学習支援システムの改良:ゲーミフィケーションの試み

    • Author(s)
      宮﨑樹夫,遠藤美奈,大島正人,後藤稚佳子,村上陽一
    • Organizer
      日本科学教育学会年会
    • Place of Presentation
      三重大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Learning congruency-based proofs in geometry via a web-based learning system

    • Author(s)
      Keith Jones, Taro Fujita and Mikio Miyazaki
    • Organizer
      British Society for Research into Learning Mathematics
    • Place of Presentation
      Sheffield Hallam University
    • Related Report
      2013 Annual Research Report
  • [Book] Proving as an explorative activity in mathematics education: new trends in Japanese research into proof. In Sriraman, B. (Eds.), First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India (International Sourcebooks in Mathematics and Science Education), Charlotte2014

    • Author(s)
      Miyazaki M, Fujita T
    • Publisher
      Information Age Publishing Inc(in press)
    • Related Report
      2013 Final Research Report
  • [Book] Proving as an explorative activity in mathematics education: new trends in Japanese research into proof. In Sriraman, B. (Eds.), First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India (International Sourcebooks in Mathematics and Science Education)2014

    • Author(s)
      Miyazaki, M. and Fujita, T
    • Publisher
      Information Age Publishing
    • Related Report
      2013 Annual Research Report
  • [Remarks] 論証学習支援システム(日本語版)

    • URL

      http://www.schoolmath.jp/flowchart/home.htm

    • Related Report
      2013 Final Research Report
  • [Remarks] 論証学習支援システム(英語版)

    • URL

      http://www.schoolmath.jp/flowchart/login/index_e.php

    • Related Report
      2013 Final Research Report
  • [Remarks] 論証学習支援システム(中国語版)

    • URL

      http://www.schoolmath.jp/flowchart/login/index_c.php

    • Related Report
      2013 Final Research Report
  • [Remarks] 教師用ガイドブック

    • URL

      http://www.schoolmath.jp/wp-content/uploads/2012/10/shidouan_ver4.1.pdf

    • Related Report
      2013 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi