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Development of statistics lesson to strengthen the articulation between primary and lower secondary school curriculum: From the perspective of developing statistical reasoning abilities

Research Project

Project/Area Number 26780509
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Education on school subjects and activities
Research InstitutionNishikyushu University

Principal Investigator

Kawakami Takashi  西九州大学, 子ども学部, 講師 (90709552)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords統計的推論力 / 小中連携 / 算数・数学教育 / インフォーマルな統計的推測 / モデリング / モデル / 現実的文脈
Outline of Final Research Achievements

The purpose of this project is to develop the theory, practical way, and materials to clarify and strengthen the articulation between primary and lower secondary school curriculum from the perspective of developing statistical reasoning abilities. Through the analysis of teaching practice at the stage of primary and lower secondary education, I identified the trajectory of development of statistical reasoning abilities from the primary level to lower secondary level as the transition from intuitive inquiry to mathematical inquiry. Furthermore it was revealed that the key for the transition might be related to modelling activity, where students created and refined models.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (38 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (16 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Open Access: 9 results,  Acknowledgement Compliant: 8 results) Presentation (19 results) (of which Int'l Joint Research: 8 results) Book (1 results)

  • [Int'l Joint Research] Australian Catholic University(オーストラリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Australian Catholic University(オーストラリア)

    • Related Report
      2015 Research-status Report
  • [Journal Article] 統計データに基づくモデリングを促進する授業の開発について―中学校数学科において「人口推計」を授業化する―2017

    • Author(s)
      川上貴,峰野宏祐
    • Journal Title

      統計教育実践研究

      Volume: 9 Pages: 83-86

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Examining the heart of the dual modelling cycle: Japanese and Australian students advance this approach2016

    • Author(s)
      Saeki, A., Matsuzaki, A., Kawakami, A., & Lamb J.
    • Journal Title

      Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (CERME9)

      Volume: - Pages: 1745-1751

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] How middle years students create and utilize data models to estimate population: A case study2016

    • Author(s)
      Kawakami, T., & Mineno K.
    • Journal Title

      Proceedings of the 39th Annual Congress of the Mathematics Education Research Group of Australasia (MERGA39)

      Volume: - Pages: 688-688

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Journal Article] 「速さ」の導入指導における「歩く」事象の数学化の様相について―モデルのつながりを視点として―2016

    • Author(s)
      川上貴,米田重和,佐伯昭彦,立石耕一
    • Journal Title

      日本科学教育学会第40回年会論文集

      Volume: - Pages: 63-66

    • NAID

      130007436292

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Journal Article] 小学校低学年における「分布の見方」を重視した統計授業の開発とその試み―クラスのボール投げを題材として―2016

    • Author(s)
      川上貴,田中知希
    • Journal Title

      統計教育実践研究

      Volume: 8 Pages: 151-156

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 円柱上の螺旋に関する探究活動を系統的に実現する教材に関する一考察―小学校から高等学校までの系統性を志向して―2015

    • Author(s)
      佐伯昭彦,松嵜昭雄,川上貴
    • Journal Title

      数学教育学会誌

      Volume: 56(1/2) Pages: 1-14

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] How do students share and refine models through dual modelling teaching?: The case of students who do not solve independently2015

    • Author(s)
      Kawakami, T., Saeki, A., & Matsuzaki, A.
    • Journal Title

      Mathematical Modelling in Education Research and Practice: Cultural, Social and Cognitive Influences

      Volume: - Pages: 195-206

    • DOI

      10.1007/978-3-319-18272-8_15

    • ISBN
      9783319182711, 9783319182728
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Enhancing young children’s reasoning about data distribution through model creating and sharing2015

    • Author(s)
      Kawakami, T.
    • Journal Title

      Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education

      Volume: 1 Pages: 597-605

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] モデリングの視点からみた算数における統計指導の新たな可能性2015

    • Author(s)
      川上貴
    • Journal Title

      日本科学教育学会年会論文集

      Volume: 39 Pages: 97-100

    • NAID

      130007430476

    • Related Report
      2015 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 「歩く」事象に基づいた算数科「速さ」の導入指導―グラフ電卓と距離センサーを活用して―2015

    • Author(s)
      川上貴,米田重和,浦郷淳,立石耕一,石井豪
    • Journal Title

      日本科学教育学会研究報告

      Volume: 30(4) Pages: 1-6

    • NAID

      130006660240

    • Related Report
      2015 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 中学校との連携を志向した小学校における統計カリキュラムの改善に関する一考察―「統計的推論力」の育成に着目して―2015

    • Author(s)
      川上貴
    • Journal Title

      西九州大学子ども学部紀要

      Volume: 6 Pages: 13-21

    • NAID

      40020431689

    • Related Report
      2014 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 統計的推論力の育成に関する世界的な研究動向の一考察―ICOTS9の発表論文から―2015

    • Author(s)
      川上貴
    • Journal Title

      統計教育実践研究

      Volume: 7 Pages: 97-100

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] A case study of an elementary school student’s informal inferential reasoning in the paper helocopter experiment2014

    • Author(s)
      Kawakami, T.
    • Journal Title

      Proceedings of the Ninth International Conference on Teaching Statistics (ICOTS9)

      Volume: -

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Journal Article] Leading a new pedagogical approach to Australian Curriculum Mathematics: Using the dual mathematical modelling cycle framework2014

    • Author(s)
      Lamb, J., Kawakami, T., Saeki, A., & Matsuzaki, A.
    • Journal Title

      Proceedings of the 37th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA37)

      Volume: - Pages: 357-364

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] モデリング研究における理論と実践の架橋を目指して―企画趣旨説明―2014

    • Author(s)
      川上貴・松嵜昭雄
    • Journal Title

      日本科学教育学会年会論文集

      Volume: 38 Pages: 37-38

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] モデリング課題研究の企画趣旨説明―数学教育,理科教育,技術科教育,情報教育からみたモデリング研究への期待―2014

    • Author(s)
      松嵜昭雄・川上貴
    • Journal Title

      日本科学教育学会年会論文集

      Volume: 38 Pages: 21-22

    • Related Report
      2014 Research-status Report
  • [Presentation] 統計データに基づくモデリングを促進する授業の開発について―中学校数学科において「人口推計」を授業化する―2017

    • Author(s)
      川上貴,峰野宏祐
    • Organizer
      第13回統計教育の方法論ワークショップ
    • Place of Presentation
      政策研究大学院大学(東京都・港区)
    • Year and Date
      2017-03-03
    • Related Report
      2016 Annual Research Report
  • [Presentation] 「速さ」の導入指導における「歩く」事象の数学化の様相について―モデルのつながりを視点として―2016

    • Author(s)
      川上貴,米田重和,佐伯昭彦,立石耕一
    • Organizer
      日本科学教育学会第40回年会
    • Place of Presentation
      ホルトホール大分(大分県・大分市)
    • Year and Date
      2016-08-19
    • Related Report
      2016 Annual Research Report
  • [Presentation] Merging of task contexts and mathematics in dual modelling teaching: Case studies in Japan and Australia2016

    • Author(s)
      Kawakami, T., Lamb, J., Matsuzaki, A., & Saeki, A.
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      ハンブルク(ドイツ)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Developing year 6 students' concepts of speed in relation to "walking"2016

    • Author(s)
      Komeda, S., Kawakami, T., Tateishi, K., Urago, A., Ishii G., & Saeki, A.
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      ハンブルク(ドイツ)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Merging of task contexts and mathematics in dual modelling teaching: Case studies in Japan and Australia2016

    • Author(s)
      Kawakami, T., Lamb, J., Matsuzaki, A., & Saeki, A.
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      ドイツ、ハンブルク
    • Year and Date
      2016-07-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] How middle years students create and utilize data models to estimate population: A case study2016

    • Author(s)
      Kawakami, T., & Mineno K.
    • Organizer
      39th Annual Congress of the Mathematics Education Research Group of Australasia (MERGA39)
    • Place of Presentation
      アデレード(オーストラリア)
    • Year and Date
      2016-07-03
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] How middle years students create and utilize data models to estimate population: A case study2016

    • Author(s)
      Kawakami, T., & Mineno, K.
    • Organizer
      39th Annual Conference of the Mathematics Education Research Group of Australasia
    • Place of Presentation
      オーストラリア、アデレード
    • Year and Date
      2016-07-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 小学校低学年における「分布の見方」を重視した統計授業の開発とその試み―クラスのボール投げを題材として―2016

    • Author(s)
      川上貴,田中知希
    • Organizer
      第12回統計教育の方法論ワークショップ
    • Place of Presentation
      宮城、東北大学
    • Year and Date
      2016-03-04
    • Related Report
      2015 Research-status Report
  • [Presentation] 「歩く」事象に基づいた算数科「速さ」の導入指導―グラフ電卓と距離センサーを活用して―2015

    • Author(s)
      川上貴,米田重和,浦郷淳,立石耕一,石井豪
    • Organizer
      日本科学教育学会研究会
    • Place of Presentation
      佐賀、佐賀大学
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] モデリングの視点からみた算数における統計指導の新たな可能性2015

    • Author(s)
      川上貴
    • Organizer
      日本科学教育学会第39回年会
    • Place of Presentation
      山形、山形大学
    • Year and Date
      2015-08-21
    • Related Report
      2015 Research-status Report
  • [Presentation] Combining models related to data distribution through conjecturing and validation: Paper helicopter experimentation with Year 5 students2015

    • Author(s)
      Kawakami, T.
    • Organizer
      17th International Conference on the Teaching of Mathematical Modelling and Applications
    • Place of Presentation
      イギリス、ノッティンガム
    • Year and Date
      2015-07-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Triggers for and barriers to successful student switching between modelling cycles: The case of dual modelling teaching in Japan2015

    • Author(s)
      Kawakami, T., Saeki, A., & Matsuzaki, A.
    • Organizer
      17th International Conference on the Teaching of Mathematical Modelling and Applications
    • Place of Presentation
      イギリス、ノッティンガム
    • Year and Date
      2015-07-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Enhancing young children’s reasoning about data distribution through model creating and sharing2015

    • Author(s)
      Kawakami, T.
    • Organizer
      7th ICMI-East Asia Regional Conference on Mathematics Education
    • Place of Presentation
      フィリピン、セブ
    • Year and Date
      2015-05-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 統計的推論力の育成に関する世界的な研究動向の一考察―ICOTS9の発表論文から―2015

    • Author(s)
      川上貴
    • Organizer
      第11回統計教育の方法論ワークショップ
    • Place of Presentation
      東京都, 立川市, 統計数理研究所
    • Year and Date
      2015-03-06 – 2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] Examining the heart of the dual modelling cycle: Japanese and Australian students advance this approach2015

    • Author(s)
      Saeki, A., Kawakami, T., Matsuzaki, A., & Lamb, J.
    • Organizer
      9th Congress of European Research in Mathematics Education (CERME9)
    • Place of Presentation
      GUARANT International, Prague, Czech Republic
    • Year and Date
      2015-02-04 – 2015-02-08
    • Related Report
      2014 Research-status Report
  • [Presentation] モデリング研究における理論と実践の架橋を目指して―企画趣旨説明―2014

    • Author(s)
      川上貴・松嵜昭雄
    • Organizer
      日本科学教育学会第38回年会
    • Place of Presentation
      埼玉県, さいたま市, 埼玉大学(大久保キャンパス)
    • Year and Date
      2014-09-13 – 2014-09-15
    • Related Report
      2014 Research-status Report
  • [Presentation] モデリング課題研究の企画趣旨説明―数学教育,理科教育,技術科教育,情報教育からみたモデリング研究への期待―2014

    • Author(s)
      松嵜昭雄・川上貴
    • Organizer
      日本科学教育学会第38回年会
    • Place of Presentation
      埼玉県, さいたま市, 埼玉大学(大久保キャンパス)
    • Year and Date
      2014-09-13 – 2014-09-15
    • Related Report
      2014 Research-status Report
  • [Presentation] A case study of an elementary school student’s informal inferential reasoning in the paper helocopter experiment2014

    • Author(s)
      Kawakami, T.
    • Organizer
      International Conference on Teaching Statistics (ICOTS9)
    • Place of Presentation
      High Country Conference Center, Flagstaff, Arizona, USA.
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Leading a new pedagogical approach to Australian Curriculum Mathematics: Using the dual mathematical modelling cycle framework2014

    • Author(s)
      Lamb, J., Kawakami, T., Saeki, A., & Matsuzaki, A.
    • Organizer
      37th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA37)
    • Place of Presentation
      Aerial Function Centre, Sydney, Australia
    • Year and Date
      2014-06-28 – 2014-07-02
    • Related Report
      2014 Research-status Report
  • [Book] アクティブラーニングを位置付けた小学校算数の授業プラン(金本良通編著)2017

    • Author(s)
      川上 貴
    • Total Pages
      133
    • Publisher
      明治図書
    • Related Report
      2016 Annual Research Report

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Published: 2014-04-04   Modified: 2018-03-22  

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