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Theoretical and Empirical Research on Teaching and Learning of Inferential Statistics: Based on the Actual Situation in New Zealand

Research Project

Project/Area Number 19K14219
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 09040:Education on school subjects and primary/secondary education-related
Research InstitutionOkayama University of Science

Principal Investigator

Fukuda Hiroto  岡山理科大学, 教職支援センター, 講師 (30803522)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords教材開発 / 仮説検定 / 推測統計 / 教授単元 / モデリング / ニュージーランド / 文脈 / 数学教育カリキュラム / 統計教育 / 統計的探究 / 数学教育 / 教科書
Outline of Research at the Start

データや情報を用いて判断する意思決定能力の育成が重視される算数・数学教育において,高等学校の次期学習指導要領において,推測統計である仮説検定ならびに区間推定が位置づけられた.このような現状を踏まえ,本研究では,推測統計の小学校から高等学校までを見通した指導教材の開発を目的とする.そのために,先進的に統計教育が実施されているニュージーランドに着目し,ニュージーランドにおける統計教育の実際に基づいて指導教材の開発を行う.そして,最終的には教授実験を行うことによって,開発した指導教材の更なる改善を図る.

Outline of Final Research Achievements

The objective of this study is to develop teaching materials for inferential statistics, in particular hypothesis testing (statistical testing), with an elementary to upper secondary school perspective. To achieve it, emergent hypothesis modelling, a statistical inquiry focusing on formation and testing of the hypothesis, was proposed. In addition, the statistical inquiry of students in a New Zealand classroom suggested the importance of acquiring knowledge from different disciplines and using an interdisciplinary approach. Based on these framework and suggestion, the teaching materials 'The Ecology of the Environment and Causal Relationships' and 'Pinball Board' were developed. Finally, teaching experiments were conducted and analysed using the respective teaching materials.

Academic Significance and Societal Importance of the Research Achievements

本研究は,数学の現行学習指導要領において新しく内容として位置づけられた統計的な問題解決過程ならびに仮説検定の教材開発を行ったものである。そこでは,データを用いる活動だけではなく,問題を定めたり,必要なデータを決定したりするなど,データを用いない活動にも着目し,教材開発を行った。この着眼点はこれまでの統計教育においてはほとんど検討されてこられなかった。その意味において,統計教育研究としての学術的意義ならびに日本の統計教育カリキュラムとしての社会的意義の両者を有しているといえる。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (43 results)

All 2024 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (2 results) Journal Article (23 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 8 results,  Open Access: 14 results) Presentation (15 results) (of which Int'l Joint Research: 5 results) Book (3 results)

  • [Int'l Joint Research] University of Barcelona(スペイン)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] バルセロナ大学(スペイン)

    • Related Report
      2022 Research-status Report
  • [Journal Article] Potential of Brousseau’s guessing game in teacher education: two complementary cases2024

    • Author(s)
      Ryoto Hakamata, Hiroto Fukuda, Hiroki Otani, Koji Otaki, Berta Barquero, & Marianna Bosch
    • Journal Title

      International Journal of Mathematical Education in Science and Technology

      Volume: online first Pages: 1-21

    • DOI

      10.1080/0020739x.2024.2321587

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Developmental Research of Teaching Material for Connecting Linear Equations with Two Unknowns and Linear Functions, Focusing on the Expansion from Discrete Quantity to Continuous One2023

    • Author(s)
      森川貴文・福田博人
    • Journal Title

      JSSE Research Report

      Volume: 38 Issue: 2 Pages: 25-30

    • DOI

      10.14935/jsser.38.2_25

    • ISSN
      1882-4684
    • Year and Date
      2023-12-09
    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] Mathematics Educational Significance of Teaching and Learning with Origami2023

    • Author(s)
      花房和輝・福田博人
    • Journal Title

      JSSE Research Report

      Volume: 38 Issue: 2 Pages: 103-108

    • DOI

      10.14935/jsser.38.2_103

    • ISSN
      1882-4684
    • Year and Date
      2023-12-09
    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] A Proposal of a View of Mathematics for Students to be Cultivated in the Intended Curriculum2023

    • Author(s)
      浅越天真・福田博人
    • Journal Title

      JSSE Research Report

      Volume: 38 Issue: 2 Pages: 97-102

    • DOI

      10.14935/jsser.38.2_97

    • ISSN
      1882-4684
    • Year and Date
      2023-12-09
    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] Issues on the Degree of Integration towards the Establishment of Japanese-Style STEM/STEAM Education2023

    • Author(s)
      坂口武典・福田博人
    • Journal Title

      JSSE Research Report

      Volume: 38 Issue: 2 Pages: 67-70

    • DOI

      10.14935/jsser.38.2_67

    • ISSN
      1882-4684
    • Year and Date
      2023-12-09
    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] 社会批判的オープンエンドな問題に着目した中等教育段階における教材可能性2023

    • Author(s)
      福田博人・服部裕一郎
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 47 Issue: 0 Pages: 215-218

    • DOI

      10.14935/jssep.47.0_215

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] Young Japanese Children’s Subjectification and Objectification Through the Lens of Joint Labor in a Mathematical Activity at a Preschool: A Case Study2023

    • Author(s)
      Nagisa Nakawa, Yusuke Uegatani, Hiroki Otani, & Hiroto Fukuda
    • Journal Title

      Early Childhood Education Journal

      Volume: in press Issue: 6 Pages: 1-13

    • DOI

      10.1007/s10643-023-01493-9

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Research on the Similarities and Differences between Elementary School Mathematics and Lower Secondary School Mathematics from the Viewpoint of Semiotics2022

    • Author(s)
      河村祐太郎・福田博人
    • Journal Title

      Journal of Science Education in Japan

      Volume: 46 Issue: 4 Pages: 321-332

    • DOI

      10.14935/jssej.46.321

    • ISSN
      0386-4553, 2188-5338
    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 教科書本文を通じた測定値の理解を阻害する困難性の構造的問題:計量言語分析を通じた教科・校種間の関連性に着目して2022

    • Author(s)
      紙本裕一・福田博人
    • Journal Title

      初等教育カリキュラム研究

      Volume: 10 Pages: 1-11

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] What Makes Data Science Education Unique?: A Literature Review2021

    • Author(s)
      Hiroto Fukuda
    • Journal Title

      IASE 2021 Proceedings of the Satellite Conference of the International Association for Statistical Education (IASE)

      Volume: - Pages: 1-5

    • DOI

      10.52041/iase.zphro

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] 火曜日生まれ問題の確率統計教材としての意義と可能性2021

    • Author(s)
      福田博人・石橋一昴
    • Journal Title

      第9回春期研究大会論文集

      Volume: - Pages: 324-324

    • Related Report
      2021 Research-status Report
  • [Journal Article] Some perspectives for implementability of statistics education based on socio-critical modelling approach(社会批判的モデリングに基づく統計教育の実装に向けた展望)2021

    • Author(s)
      福田 博人
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 45 Issue: 0 Pages: 149-152

    • DOI

      10.14935/jssep.45.0_149

    • NAID

      130008131470

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] A Survey on the Use of Context in a Probabilistic and Statistical Problem for Pre-Service Mathematics Teachers2021

    • Author(s)
      福田 博人・石橋 一昴
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 45 Issue: 0 Pages: 491-492

    • DOI

      10.14935/jssep.45.0_491

    • NAID

      130008131570

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Development of Socio-critically Open-ended Problems for Critical Mathematical Literacy: A Japanese Case2021

    • Author(s)
      Hattori, Y., Fukuda, H. & Baba
    • Journal Title

      Journal of Educational Research in Mathematics

      Volume: 31(3) Issue: 3 Pages: 357-378

    • DOI

      10.29275/jerm.2021.31.3.357

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Young Japanese Children's Subjectification and Objectification Through the Lense of Joint Labor2021

    • Author(s)
      Nagisa Nakawa, Yusuke Uegatani, Hiroki Otani, & Hiroto Fukuda
    • Journal Title

      Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education

      Volume: 3 Pages: 317-324

    • NAID

      120007131924

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] The Ad Lib Music Session as a Metaphor for Mathematics Classroom Activities in the Theory of Objectification: A Phonetic Analysis of Laughter2021

    • Author(s)
      Yusuke Uegatani, Nagisa Nakawa, Mitsuhiro Kimura, Hiroto Fukuda, & Hiroki Otani
    • Journal Title

      Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education

      Volume: 4 Pages: 169-176

    • NAID

      120007131923

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] About features of Japanese Science Education in the Course of Study2021

    • Author(s)
      池田浩輔・福田博人
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 45 Issue: 0 Pages: 605-608

    • DOI

      10.14935/jssep.45.0_605

    • NAID

      130008131711

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2021 Research-status Report
  • [Journal Article] 批判的数学教育を観点とした統計教材の範例性に関する一考察2020

    • Author(s)
      福田博人
    • Journal Title

      日本数学教育学会 第8回春期研究大会論文集

      Volume: 1 Pages: 169-176

    • NAID

      40022492494

    • Related Report
      2020 Research-status Report
  • [Journal Article] 日本のこれからの科学教育の性格:次期学習指導要領の分析を通して2020

    • Author(s)
      福田博人、池田浩輔
    • Journal Title

      OUSフォーラム2020 <アブストラクト集>

      Volume: 1 Pages: 87-87

    • Related Report
      2020 Research-status Report
  • [Journal Article] Comparison between School Types by Problem Analysis in Textbooks of Japanese Statistics Education: From the Perspective of Context2019

    • Author(s)
      福田博人,紙本裕一
    • Journal Title

      Journal of Science Education in Japan

      Volume: 43 Issue: 4 Pages: 362-372

    • DOI

      10.14935/jssej.43.362

    • NAID

      130007826108

    • ISSN
      0386-4553, 2188-5338
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 統計教育における仮説モデルの形成を意図した教授単元の開発研究:因果探究に着目して2019

    • Author(s)
      福田博人,橋本善貴,三輪直也
    • Journal Title

      第52回 秋期研究大会発表集録

      Volume: 1 Pages: 351-354

    • NAID

      40022493764

    • Related Report
      2019 Research-status Report
  • [Journal Article] 統計教育における日本とニュージーランドの教科書比較2019

    • Author(s)
      福田博人,紙本裕一
    • Journal Title

      中研紀要 教科書フォーラム

      Volume: 20 Pages: 54-67

    • Related Report
      2019 Research-status Report
    • Open Access
  • [Journal Article] 批判的数学教育の視座における公正な批判的思考の様相-前期中等教育段階での授業実践を事例として-2019

    • Author(s)
      服部裕一郎,福田博人
    • Journal Title

      第7回 春期研究大会論文集

      Volume: 1 Pages: 19-26

    • NAID

      40022495151

    • Related Report
      2019 Research-status Report
  • [Presentation] Analysis of a survey on statistical hypothesis testing for pre-service teachers in Japan2024

    • Author(s)
      Hiroto Fukuda & Hiroki Otani
    • Organizer
      The 15th International Congress on Mathematical Education
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The proposal of emergent hypothesis modelling in statistics education2024

    • Author(s)
      Hiroto Fukuda
    • Organizer
      The 47th Conference of the International Group for the Psychology of Mathematics Education
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 中学校数学「数と式」と「関数」領域で扱われる離散量と連続量の教科書分析2023

    • Author(s)
      森川貴文・福田博人
    • Organizer
      OUSフォーラム2023
    • Related Report
      2023 Annual Research Report
  • [Presentation] 数学教育における文化に焦点を当てた折り紙の教育的意義について2023

    • Author(s)
      花房和輝・福田博人
    • Organizer
      OUSフォーラム2023
    • Related Report
      2023 Annual Research Report
  • [Presentation] 国内外の調査から見る日本の児童生徒の算数・数学に対する見方の変遷2023

    • Author(s)
      浅越天真・福田博人
    • Organizer
      OUSフォーラム2023
    • Related Report
      2023 Annual Research Report
  • [Presentation] Statistical modelling in the Brousseaunian guessing game: A case of teacher education in Japan2022

    • Author(s)
      Ryoto Hakamata, Koji Otaki, Hiroto Fukuda, & Hiroki Otani
    • Organizer
      INDRUM 2022: Fourth conference of the International Network for Didactic Research in University Mathematics
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 中学校数学のD領域「データの活用領域」における文脈の扱い2022

    • Author(s)
      福田博人・板東翔吾
    • Organizer
      OUSフォーラム2022
    • Related Report
      2022 Research-status Report
  • [Presentation] 高等学校数学における直観力の育成を目指した教材の開発研究:3囚人問題を事例として2022

    • Author(s)
      山本将大・福田博人
    • Organizer
      日本科学教育学会2022年度第4回研究会(若手活性化委員会開催)
    • Related Report
      2022 Research-status Report
  • [Presentation] Do Students in Grade 10 Generate Ideas of Statistical Hypothesis Testing Spontaneously?2021

    • Author(s)
      Hiroto Fukuda, Naoya Miwa, & Yoshiki Hashimoto
    • Organizer
      The 14th International Congress on Mathematical Education
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Aspects of Fair-minded Critical Thinking in Mathematics Education: Based on the Perspective of Critical Mathematics Education2021

    • Author(s)
      Yuichiro Hattori & Hiroto Fukuda
    • Organizer
      The 14th International Congress on Mathematical Education
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Data Science Education = Current Statistics Education: Focusing on Context2021

    • Author(s)
      Hiroto Fukuda
    • Organizer
      Department of Statistics and Operations Research Seminar
    • Related Report
      2021 Research-status Report
  • [Presentation] 日本の次期学習指導要領における科学教育はいかなる特徴を有しているのか?:活動を観点とするテキストマイニングによる校種間の比較を通して2020

    • Author(s)
      池田浩輔、福田博人
    • Organizer
      日本科学教育学会 2020年度第3回研究会(若手活性化委員会開催)
    • Related Report
      2020 Research-status Report
  • [Presentation] 中学校数学教科書における標本抽出の特徴2020

    • Author(s)
      大谷洋貴、福田博人、袴田綾斗、大滝孝治
    • Organizer
      全国数学教育学会 第53回研究発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] 日本の統計教育とニュージーランドの統計教育:文脈を観点とした教科書比較2019

    • Author(s)
      福田博人,紙本裕一
    • Organizer
      岡山理科大学OUSフォーラム2019
    • Related Report
      2019 Research-status Report
  • [Presentation] Research on principles for statistics curriculum in Japan from the perspective of context2019

    • Author(s)
      Hiroto Fukuda
    • Organizer
      Hiroto Fukuda Seminar - Statistics Education
    • Related Report
      2019 Research-status Report
  • [Book] Values and Valuing in Mathematics Education: Moving Forward into Practice2024

    • Author(s)
      Takuya Baba, Isao Shimada, Yuichiro Hattori, & Hiroto Fukuda
    • Total Pages
      463
    • Publisher
      Springer
    • ISBN
      9789819994533
    • Related Report
      2023 Annual Research Report
  • [Book] 新しい算数教育の理論と実践2021

    • Author(s)
      松浦武人、福田博人、大谷洋貴
    • Total Pages
      251
    • Publisher
      ミネルヴァ書房
    • ISBN
      9784623091072
    • Related Report
      2020 Research-status Report
  • [Book] 中学校数学科通信 数研 チャート. Info No.192020

    • Author(s)
      福田博人
    • Total Pages
      16
    • Publisher
      数研出版
    • Related Report
      2020 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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