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Development of Learning game of Explorative Proving based on Gamification for Homeschooling

Research Project

Project/Area Number 15K12375
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Science education
Research InstitutionShinshu University

Principal Investigator

Iwanaga Yasuo  信州大学, 教育学部, 名誉教授 (80015825)

Co-Investigator(Kenkyū-buntansha) 宮崎 樹夫  信州大学, 学術研究院教育学系, 教授 (10261760)
村松 浩幸  信州大学, 学術研究院教育学系, 教授 (80378281)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords課題探究 / 証明 / ゲーミフィケーション / 家庭学習
Outline of Final Research Achievements

In order to develop a learning game of explorative proving, this study firstly analyzed the ready-made game for proof learning, and specified its limitations and the direction of its improvement. Next, the basic design of the game adopted two issues as follows; a theorem was regarded as a unit of proof construction (“Theorem Block”), connecting theorem blocks and deleting a unnecessary block were capable. Finally, according to this design, the digital contents that enable to connect two theorem blocks, and the ones enable to connect three theorem blocks were produced, and then the basic design was improved in accordance with the results of verification.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (48 results)

All 2017 2016 2015 Other

All Int'l Joint Research (6 results) Journal Article (15 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 7 results,  Open Access: 4 results,  Acknowledgement Compliant: 11 results) Presentation (23 results) (of which Int'l Joint Research: 7 results,  Invited: 1 results) Book (4 results)

  • [Int'l Joint Research] University of Southampton/University of Exeter(United Kingdom)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Hong Kong Baptist University(Hong Kong)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Southampton(United Kingdom)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Hong Kong Baptist University(Hong Kong)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] University of Exeter/University of Southampton(英国)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] University of Hong Kong/Hong Kong Baptist University(中国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Designing a web-based learning support system for flow-chart proving in school geometry2017

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

      Digital Experiences in Mathematics Education

      Volume: 3 Issue: 3 Pages: 233-256

    • DOI

      10.1007/s40751-017-0034-z

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 課題探究として証明することを実現する指導法開発:指導法開発の意味2017

    • Author(s)
      宮崎樹夫,清水静海,岩永恭雄,市川大輔
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 5 Pages: 3-8

    • NAID

      120007100481

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] 数学的なプロセスに基づく学力の評価に関する研究:「思考力・判断力・表現力等」に関する評価枠組みの提案2017

    • Author(s)
      宮崎樹夫
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 5 Pages: 139-144

    • NAID

      120007100482

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Trends of Technology Education in Compulsory Education in Japan2017

    • Author(s)
      Hiroyuki Muramatsu
    • Journal Title

      Journal of Robotics and Mechatronics

      Volume: 29(6) Pages: 952-956

    • NAID

      130007519766

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Students’ understanding of the structure of deductive proof2017

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

      Educational Studies in Mathematics

      Volume: 94(2) Issue: 2 Pages: 223-239

    • DOI

      10.1007/s10649-016-9720-9

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] 数学的事象に関する課題探究を実現する学力の特定:事柄/証明/体系の生成に着目して2016

    • Author(s)
      宮崎樹夫
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 4 Pages: 237-242

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 課題探究として証明することのカリキュラム開発:領域「関数J における学習レベルとその移行2016

    • Author(s)
      岩田耕司,宮崎樹夫,牧野智彦,Taro Fujita
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 4 Pages: 167-172

    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] 中学生を対象にしたSNS使用に関わる判断力を育成するシナリオゲーム型教材の開発2016

    • Author(s)
      安藤明伸, 潟岡冴子,鈴木哲朗,橋渡憲明,佐藤陽,村松浩幸
    • Journal Title

      日本教育工学会論文誌

      Volume: 39 Pages: 65-68

    • NAID

      130005125925

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 中学生に栽培技術におけるトレードオフの理解を促すシナリオゲーム教材の開発2016

    • Author(s)
      村松浩幸,原山千秋,原山康則
    • Journal Title

      日本教育工学会論文誌

      Volume: 40 Pages: 173-176

    • NAID

      130005437609

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Developing a Curriculum for Explorative Proving in Lower Secondary School Geometry2016

    • Author(s)
      Miyazaki, M., Nagata, J., Chino, K., Fujita, T. Ichikawa D., Shimizu, S, & Iwanaga Y.
    • Journal Title

      Proceedings of the 13th International Congress on Mathematical Education

      Volume: 未定

    • NAID

      120007100962

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [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全領域における開発枠組みの構築2015

    • Author(s)
      宮崎樹夫,岩永恭雄,松岡樂
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 3 Pages: 1-6

    • NAID

      120007100514

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 中学校数学における課題探究として証明することの授業化:第2学年の内容「平行線と角の性質」,「多角形の角についての性質」2015

    • Author(s)
      宮﨑樹夫, 市川大輔,松岡 樂, 岩永恭雄
    • Journal Title

      日本科学教育学会年会論文集

      Volume: 39 Pages: 115-118

    • NAID

      130007430714

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Flow-chart proofs with open problems as scaffolds for learning about geometrical proofs2015

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

      ZDM

      Volume: 47(7) Pages: 1211-1224

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] 課題探究として証明することのカリキュラム開発: 領域「数と式」,「図形」の カリキュラム開発枠組みの精緻化.2015

    • Author(s)
      茅野公穂,佐々祐之,宮﨑樹夫,宮川健,中川裕之,岩永恭雄,松岡樂
    • Journal Title

      日本数学教育学会 春期研究大会論文集

      Volume: 3 Pages: 7-12

    • NAID

      120007100515

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Proving as an explorative activity in mathematics education: new trends in Japanese research into proof2015

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

      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)

      Volume: 1 Pages: 1375-1407

    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] 学校技術科における3D-CAD,3Dプリンターの利用2017

    • Author(s)
      矢代祐介・村松浩幸
    • Organizer
      日本教育工学会 研究会
    • Place of Presentation
      信州大学
    • Year and Date
      2017-03-04
    • Related Report
      2016 Research-status Report
  • [Presentation] 課題探究として証明することを実現する指導法開発:指導法開発の意味2017

    • Author(s)
      宮崎樹夫,清水静海,岩永恭雄,市川大輔
    • Organizer
      日本数学教育学会 第5回春期研究大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 数学的なプロセスに基づく学力の評価に関する研究:「思考力・判断力・表現力等」に関する評価枠組みの提案2017

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会 第5回春期研究大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Identifying Local Proof ‘Modules’ during Proving2017

    • Author(s)
      Miyazaki, M, Fujita, T, Jones, K. and Ichikawa, D.
    • Organizer
      the 41th Conference of the International Group for the Psychology of Mathematics Education
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 課題探究として証明することを実現する指導法開発:指導法開発の意味と段階2017

    • Author(s)
      宮崎樹夫
    • Organizer
      日本科学教育学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 領域固有な方法知を生成しようとする態度を養うタスクデザイン2017

    • Author(s)
      宮崎樹夫, 茅野公穂, 小松孝太郎, 松永泰幸, Bokhove, C., Leung, A., Mok, I.
    • Organizer
      日本科学教育学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 証明の構造の理解に関する研究:前提と結論の接合における,局所的なモジュールの型の同定2017

    • Author(s)
      宮崎樹夫,藤田太郎, Jones Keith, 市川大輔
    • Organizer
      日本数学教育学会秋期研究大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 小学校を対象とした理科においてプログラミングを導入した授業の開発2017

    • Author(s)
      藤牧泰輔・林康成・村松浩幸・蛭田直
    • Organizer
      日本産業技術教育学会技術教育分科会研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 証明の構造の理解に関する研究:前提と結論の接合における,局所的なモジュールの型の推定2016

    • Author(s)
      宮崎樹夫,藤田太郎
    • Organizer
      日本数学教育学会秋期研究大会
    • Place of Presentation
      弘前大学
    • Year and Date
      2016-10-29
    • Related Report
      2016 Research-status Report
  • [Presentation] 教員養成学部におけるデジタルクラフト導入モデルの提案2016

    • Author(s)
      村松浩幸・門田和雄
    • Organizer
      日本産業技術教育学会
    • Place of Presentation
      京都大学
    • Year and Date
      2016-08-27
    • Related Report
      2016 Research-status Report
  • [Presentation] 中学校技術科における電力システムの学習教材 を用いた授業設計とその評価2016

    • Author(s)
      橋渡憲明・村松浩幸・芦田肇・矢代祐介
    • Organizer
      日本産業技術教育学会
    • Place of Presentation
      京都大学
    • Year and Date
      2016-08-27
    • Related Report
      2016 Research-status Report
  • [Presentation] 中学校数学における,証明学習支援システムの刷新:“定理ブロック”の活用による,証明を構想する活動の充実2016

    • Author(s)
      宮崎樹夫,村松浩幸,岩永恭雄
    • Organizer
      日本科学教育学会年会
    • Place of Presentation
      ホルトホール大分(大分市)
    • Year and Date
      2016-08-19
    • Related Report
      2016 Research-status Report
  • [Presentation] Developing a Curriculum for Explorative Proving in Lower Secondary School Geometry2016

    • Author(s)
      Miyazaki, M., Nagata, J., Chino, K., Fujita, T. Ichikawa D., Shimizu, S, & Iwanaga Y.
    • Organizer
      the 13th International Congress on Mathematical Education
    • Place of Presentation
      University of Hamburg(Germany)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Developing a Curriculum for Explorative Proving in Lower Secondary School Geometry2016

    • Author(s)
      Miyazaki, M., Nagata, J., Chino, K., Fujita, T. Ichikawa D., Shimizu, S, & Iwanaga Y.
    • Organizer
      the 13th International Congress on Mathematical Education
    • Place of Presentation
      University of Hamburg, Hamburg, Germany
    • Year and Date
      2016-07-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数学的事象に関する課題探究を実現する学力の特定:事柄/証明/体系の生成に着目して2016

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会 第4回春期研究大会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2016-06-28
    • Related Report
      2016 Research-status Report
  • [Presentation] 課題探究として証明することのカリキュラム開:領域「関数J における学習レベルとその移行2016

    • Author(s)
      岩田耕司,宮崎樹夫,牧野智彦,藤田太郎
    • Organizer
      日本数学教育学会 第4回春期研究大会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2016-06-28
    • Related Report
      2016 Research-status Report
  • [Presentation] On Geometry for Development of Critical Thinking2016

    • Author(s)
      宮崎樹夫
    • Organizer
      SEAMEO RECSAM-University of Tsukuba Joint Seminar “Searching for Quality Mathematics Curriculum Framework on the Era of Globalization”
    • Place of Presentation
      Tokyo Campus, University of Tsukuba
    • Year and Date
      2016-02-17
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Development of a Worksheet for Use in Turbine Contests in Junior High School Technology Education2015

    • Author(s)
      Noriaki Hashido, Hiroyuki Muramatsu
    • Organizer
      International Conferrence on Industrial Technology Education for Sustainable Development
    • Place of Presentation
      中部大学
    • Year and Date
      2015-11-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Prototype of a Cultivation Information Recording Device and Sharing Site in Junior High School Technology Education2015

    • Author(s)
      Yusuke Yashiro, Hiroyuki Muramatsu
    • Organizer
      International Conferrence on Industrial Technology Education for Sustainable Development
    • Place of Presentation
      中部大学
    • Year and Date
      2015-11-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Development of a Disaster Prevention Education Database Based on the Objectives Taxonomy of Disaster Prevention Education2015

    • Author(s)
      Hiroyuki,Muramatsu Hideaki,Shimada Satoshi,Tanaka Daisuke,Hirouchi Misyunori,Yatsuka and Takashi.Mizuguchi
    • Organizer
      International Conferrence on Industrial Technology Education for Sustainable Development
    • Place of Presentation
      中部大学
    • Year and Date
      2015-11-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 中学校数学における課題探究として証明することの授業化:第2学年の内容「平行線と角の性質」,「多角形の角についての性質」2015

    • Author(s)
      宮﨑樹夫, 市川大輔,松岡 樂, 岩永恭雄
    • Organizer
      日本科学教育学会年会
    • Place of Presentation
      山形大学
    • Year and Date
      2015-08-21
    • Related Report
      2015 Research-status 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全領域における開発枠組みの構築2015

    • Author(s)
      宮崎樹夫,岩永恭雄,松岡樂
    • Organizer
      日本数学教育学会 第3回春期研究大会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-06-28
    • Related Report
      2015 Research-status Report
  • [Presentation] Aspects of scaffolding in a web-based learning system for congruency-based proofs in geometry2015

    • Author(s)
      Keith Jones, Mikio Miyazaki and Taro Fujita
    • Organizer
      12th International Conference on Technology in Mathematics Teaching
    • Place of Presentation
      University of Algarve, Faculty of Sciences and Technology
    • Year and Date
      2015-06-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Book] 『新学習指導要領の展開 数学編』2章「第2 各学年の目標及び内容」のポイントと解説;第1学年C図形(pp. 36 - 43),第2学年C図形(pp. 72 - 83), 第3学年C図形(pp. 116 - 125), 所蔵:永田潤一郎(編著)2017

    • Author(s)
      宮崎樹夫
    • Total Pages
      208
    • Publisher
      明治図書
    • ISBN
      9784183343185
    • Related Report
      2017 Annual Research Report
  • [Book] 『イノベーション力育成を図る中学校技術科の授業デザイン』5.1 エネルギー変換の学習における電力システムの体験的学習2016

    • Author(s)
      村松浩幸,瀬下裕介
    • Total Pages
      312
    • Publisher
      ジーアス教育新社
    • Related Report
      2016 Research-status Report
  • [Book] 『イノベーション力育成を図る中学校技術科の授業デザイン』9.2 体験的知的財産学習によるロボット製作学習2016

    • Author(s)
      村松浩幸
    • Total Pages
      312
    • Publisher
      ジーアス教育新社
    • Related Report
      2016 Research-status 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)2015

    • Author(s)
      Miyazaki, M. and Fujita, T.
    • Total Pages
      1767
    • Publisher
      Information Age Publishing
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2022-08-18  

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