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Empirical research on the mathematics lesson that promotes statistical reasoning from the perspective of modelling

Research Project

Project/Area Number 17K14053
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

KAWAKAMI Takashi  宇都宮大学, 共同教育学部, 准教授 (90709552)

Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords統計的推論 / モデリング / モデル / 統計教育 / 数学教育 / データモデリング / インフォーマルな統計的推測 / データ / 文脈 / 再教材化 / 職能成長 / 統計的モデリング / 教員研修 / 算数・数学教育
Outline of Final Research Achievements

The purpose of this study was to develop a framework for structuring primary and secondary mathematics lessons that promote students' statistical reasoning through modelling. The outcomes of the research were: 1)An international review of research on the teaching of statistical modelling, 2)Identification of model and modelling characteristics in promoting statistical reasoning, and 3)Preparation for teacher education research focused on statistical reasoning and modelling.

Academic Significance and Societal Importance of the Research Achievements

本研究では,実世界の問題解決のためにモデルを構成・洗練するモデリングの特性を生かして,実世界の文脈と関連づけて統計的概念を醸造しながら統計的推論を促す新たな授業構成枠組みを開発し,その成果を教員研修に適用する可能性を明らかにすることができた。こうした教師教育まで射程に置く実証的かつ総合的取組は,国内外の先行研究には見られず,ここに本研究の学術的意義を有する。また,こうした本研究の成果は,知識創造化・情報化社会の中で自立・協働・創造を持続させる資質・能力を備えた人材の輩出に貢献できうる点で社会的意義も有する。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (63 results)

All 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (5 results) Journal Article (29 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 19 results,  Open Access: 12 results) Presentation (25 results) (of which Int'l Joint Research: 10 results,  Invited: 1 results) Book (2 results) Remarks (2 results)

  • [Int'l Joint Research] Linkoping University(スウェーデン)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Linkoping University(スウェーデン)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Linkoping University(スウェーデン)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Kassel(ドイツ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Australian Catholic University(オーストラリア)

    • Related Report
      2017 Research-status Report
  • [Journal Article] 低学年児童の非形式的な統計的推測の促進におけるモデルの役割:データモデリングの過程に着目して2022

    • Author(s)
      川上貴
    • Journal Title

      科学教育研究

      Volume: 46

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 説明の評価・改善を通した中学1年生の批判的思考の進展の特徴づけ:「図形の移動の活用」の授業における班の話し合いの事例から2022

    • Author(s)
      滝田和徳, 水野高宏, 川上 貴, 牧野智彦, 日野圭子
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 104

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Retransformation of math-textbook tasks into integrated STEM tasks2021

    • Author(s)
      川上 貴、佐伯 昭彦
    • Journal Title

      JSSE Research Report

      Volume: 35 Issue: 5 Pages: 79-84

    • DOI

      10.14935/jsser.35.5_79

    • NAID

      130007994602

    • ISSN
      1882-4684
    • Year and Date
      2021-03-07
    • Related Report
      2020 Research-status Report
  • [Journal Article] Data-Based Modelling to Combine Mathematical, Statistical, and Contextual Approaches: Focusing on Ninth-Grade Students2021

    • Author(s)
      Takashi Kawakami,Kosuke Mineno
    • Journal Title

      Mathematical Modelling Education in East and West, Springer

      Volume: ー Pages: 389-400

    • DOI

      10.1007/978-3-030-66996-6_32

    • ISBN
      9783030669959, 9783030669966
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Data-based modelling to combine mathematical, statistical, and contextual approaches: Focusing on ninth-grade students2021

    • Author(s)
      Takashi Kawakami, Kosuke Mineno
    • Journal Title

      Mathematical Modelling Education in East and West, Springer

      Volume: -

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Year 6 Students’ Gradual Identification of Mathematical Models of Average Speed When Making Sense of ‘Walking’2020

    • Author(s)
      Kawakami Takashi、Komeda Shigekazu、Saeki Akihiko
    • Journal Title

      Stillman G., Kaiser G., Lampen C. (eds) Mathematical Modelling Education and Sense-making. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham.

      Volume: - Pages: 151-162

    • DOI

      10.1007/978-3-030-37673-4_14

    • ISBN
      9783030376727, 9783030376734
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students2020

    • Author(s)
      Komeda Shigekazu、Kawakami Takashi、Kaneko Masafumi、Yamaguchi Takashi
    • Journal Title

      Stillman G., Kaiser G., Lampen C. (eds) Mathematical Modelling Education and Sense-making. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham.

      Volume: - Pages: 175-185

    • DOI

      10.1007/978-3-030-37673-4_16

    • ISBN
      9783030376727, 9783030376734
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] 低学年児童のインフォーマルな統計的推測の促進におけるモデルの役割:データモデリングが内在する授業の分析2020

    • Author(s)
      川上 貴
    • Journal Title

      日本数学教育学会第53回秋期研究大会発表集録(論文発表)

      Volume: - Pages: 25-32

    • NAID

      40022494005

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] 算数・数学教科書の問題から数学的モデリングの問題への再教材化を目指した教員研修の可能性2020

    • Author(s)
      川上 貴,佐伯昭彦,金児正史
    • Journal Title

      数学教育学会誌

      Volume: 60(3・4) Pages: 35-48

    • NAID

      130008038863

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Creating contact points between empirical modelling and theoretical modelling in teacher education: The case of pendulum problem2020

    • Author(s)
      Masafumi Kaneko, Akihiko Saeki, Takashi Kawakami
    • Journal Title

      Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Utrecht, the Netherlands: Freudenthal Group & Freude

      Volume: -

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Review of the Role of “Real-World Context” in Teaching and Learning Mathematics in Japan2019

    • Author(s)
      川上 貴
    • Journal Title

      JSSE Research Report

      Volume: 34 Issue: 3 Pages: 103-108

    • DOI

      10.14935/jsser.34.3_103

    • NAID

      130007769036

    • ISSN
      1882-4684
    • Year and Date
      2019-12-21
    • Related Report
      2019 Research-status Report
  • [Journal Article] Mid-career teacher learning in a mathematics professional development program: Focusing on the growth of teacher's perspectives2019

    • Author(s)
      Keiko Hino, Tomohiko Makino, Takashi Kawakami
    • Journal Title

      Hiroshima Journal of Mathematics Education

      Volume: 13 Pages: 57-78

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Framework for Designing Mathematical Modelling Tasks Using Applied Problems in Math-textbooks2019

    • Author(s)
      佐伯昭彦,川上貴,金児正史
    • Journal Title

      Journal of Science Education in Japan

      Volume: 43 Issue: 3 Pages: 220-232

    • DOI

      10.14935/jssej.43.220

    • NAID

      130007726496

    • ISSN
      0386-4553, 2188-5338
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Year 6 Students’gradual identification of mathematical models of average speed when making sense of ‘walking’2019

    • Author(s)
      Takashi Kawakami, Shigekazu Komeda, Akihiko Saeki
    • Journal Title

      Mathematical Modelling Education and Sense Making, Springer

      Volume: -

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Deepening and expanding mathematical models of speed in relation to walking: The case of Year 8 students2019

    • Author(s)
      Shigekazu Komeda, Takashi Kawakami, Masafumi Kaneko, Takashi Yamaguchi
    • Journal Title

      Mathematical Modelling Education and Sense Making, Springer

      Volume: -

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] 統計的モデリングの指導と学習に関する研究の国際的動向: 日本の初等中等教育段階における統計教育の展望2019

    • Author(s)
      川上 貴
    • Journal Title

      日本数学教育学会誌

      Volume: 101(3) Pages: 15-27

    • NAID

      130007938645

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Constructing Primary School Teachers’ Perspectives on Math-Textbook Problems for Teaching Mathematical Modelling2018

    • Author(s)
      川上 貴
    • Journal Title

      Journal of Science Education in Japan

      Volume: 42 Issue: 4 Pages: 350-365

    • DOI

      10.14935/jssej.42.350

    • NAID

      130007587226

    • ISSN
      0386-4553, 2188-5338
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 数学的な見方・考え方の進展に関する横断的研究 ―領域「関数」,「データの活用」,「図形」の内容に焦点を当てて―2018

    • Author(s)
      牧野 智彦・日野 圭子・川上 貴・神保 元康・田中 真也
    • Journal Title

      宇都宮大学教育学部教育実践紀要

      Volume: 5 Pages: 121-132

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] How models and modelling approaches can promote young children's statistical reasoning2018

    • Author(s)
      Takashi Kawakami
    • Journal Title

      Proceedings of the 10th International Conference on Teaching Statistics (ICOTS10)

      Volume: -

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Ingenuity and challenges to incorporate statistical-inquiry process into statistics lessons in primary schools: The case of Japan2018

    • Author(s)
      Takashi Kawakami & Kazuhiro Aoyama
    • Journal Title

      Proceedings of the 10th International Conference on Teaching Statistics (ICOTS10)

      Volume: -

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Open Access
  • [Journal Article] Secondary teachers constructing perspectives on developing mathematical modelling problems: Use of a modelling diagram for ‘Kyozaikenkyu’2018

    • Author(s)
      Takashi Kawakami, Akihiko Saeki, & Masafumi Kaneko
    • Journal Title

      Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education (EARCOME8)

      Volume: 1 Pages: 502-512

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 物事をモデルやモデリングとして捉える(Lesh,R. & Doerr, H. M. 編著,Beyond Constructivism)2018

    • Author(s)
      川上 貴
    • Journal Title

      教育科学 数学教育,明治図書

      Volume: 733 Pages: 96-97

    • Related Report
      2018 Research-status Report
  • [Journal Article] Combining models related to data distribution through productive experimentation2017

    • Author(s)
      Takashi Kawakami
    • Journal Title

      Mathematical Modelling and Applications. International Perspectives on the Teaching and Learning of Mathematical Modelling

      Volume: - Pages: 95-105

    • DOI

      10.1007/978-3-319-62968-1_8

    • ISBN
      9783319629674, 9783319629681
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] The dual modelling cycle framework: Report on an Australian study2017

    • Author(s)
      Janeen Lamb, Akio Matsuzaki, Akihiko Saeki, Takashi Kawakami
    • Journal Title

      Mathematical Modelling and Applications. International Perspectives on the Teaching and Learning of Mathematical Modelling

      Volume: - Pages: 411-419

    • DOI

      10.1007/978-3-319-62968-1_34

    • ISBN
      9783319629674, 9783319629681
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] グラフを作り替えていくことで,物事を多面的に考察する~農業人口の変化~2017

    • Author(s)
      川上 貴
    • Journal Title

      新しい算数研究12月号

      Volume: 563 Pages: 28-29

    • Related Report
      2017 Research-status Report
  • [Journal Article] 小学校教師の算数教科書の問題の捉え方について―数学的モデリング指導に要する教師の資質・能力の育成に向けて―2017

    • Author(s)
      川上 貴
    • Journal Title

      日本科学教育学会研究会研究報告

      Volume: 32(5) Pages: 105-110

    • NAID

      130007387622

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Journal Article] 小学校教師の算数教材に対する捉え方について―「現実の世界」と「数学の世界」を視点として―2017

    • Author(s)
      川上 貴
    • Journal Title

      日本教材学会第29回研究発表大会研究発表要旨集

      Volume: - Pages: 104-105

    • Related Report
      2017 Research-status Report
  • [Journal Article] 数学的モデリングの指導に関わる教師教育のための教材開発―数学的モデリング指導の初心者を対象に―2017

    • Author(s)
      佐伯昭彦,川上 貴,金児正史
    • Journal Title

      日本科学教育学会第41回年会論文集

      Volume: - Pages: 81-84

    • NAID

      130007436016

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Journal Article] 数学的モデリングの授業実践を支援する教師向けガイドライン―米国のGAIMMEレポート―2017

    • Author(s)
      川上 貴
    • Journal Title

      日本科学教育学会第41回年会論文集

      Volume: - Pages: 71-74

    • NAID

      130007436026

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Presentation] The rationales of statistical modelling in education research from a mathematical modelling perspective2021

    • Author(s)
      Takashi Kawakami, Jonas Bergman Arleback
    • Organizer
      The 14th International Congress on Mathematical Education (ICME14)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Characterising rationales for using statistical modelling in education research from a mathematical modelling perspective: A review2021

    • Author(s)
      akashi Kawakami, Jonas Bergman Arleback
    • Organizer
      Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 小学校算数科における数学的モデリングに焦点をあてた指導:フェルミ推定を題材として2020

    • Author(s)
      川上 貴, 秋澤克樹
    • Organizer
      第102回全国算数・数学教育研究大会
    • Related Report
      2020 Research-status Report
  • [Presentation] Learning to solve real life problems through statistical models and modelling2019

    • Author(s)
      Takashi Kawakami, Jonas Bergman Ärlebäck
    • Organizer
      The 19th International Conference on the Teaching of Mathematical Modelling and Aplications (ICTMA19)Symposium 3
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Data-based modelling to combine mathematical, statistical, and contextual ideas: Population estimate with grade 9 students2019

    • Author(s)
      Takashi Kawakami, Kosuke Mineno
    • Organizer
      The 19th International Conference on the Teaching of Mathematical Modelling and Aplications (ICTMA19)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Data-based modelling to combine mathematical, statistical, and contextual ideas: Boundary interactions between mathematical modelling and statistical modelling2019

    • Author(s)
      Takashi Kawakami
    • Organizer
      The 19th International Conference on the Teaching of Mathematical Modelling and Applications (ICTMA19)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Task design requirements for developing mathematical concepts of speed through modelling2019

    • Author(s)
      Shigekazu Komeda, Takashi Kawakami, Akihiko Saeki, Masafumi Kaneko, Takashi Yamaguchi
    • Organizer
      The 19th International Conference on the Teaching of Mathematical Modelling and Applications (ICTMA19)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] In-service teachers' collaborative transformation from textbook problems to modelling problems: First step of professional development on modelling2019

    • Author(s)
      Takashi Kawakami, Akihiko Saeki, Masafumi Kaneko
    • Organizer
      The 19th International Conference on the Teaching of Mathematical Modelling and Aplications (ICTMA19)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 批判的思考力の育成におけるモデル・モデリングを核とした学習指導の貢献―企画趣旨―2019

    • Author(s)
      川上 貴, 服部裕一郎
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 説明モデルの検討・改訂にみられる中学1年生の批判的思考力の促進―図形の移動の活用場面からー2019

    • Author(s)
      滝田和徳, 水野高宏, 川上 貴, 牧野智彦, 日野圭子
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 数学的モデリング指導に関する評価問題の教員養成への活用2019

    • Author(s)
      川上 貴, 池田敏和, Borromeo Ferri, R
    • Organizer
      日本数学教育学会第52回秋期研究大会発表収録
    • Related Report
      2019 Research-status Report
  • [Presentation] わが国の算数・数学の学習指導における「現実世界の文脈」の役割についての一考察2019

    • Author(s)
      川上 貴
    • Organizer
      日本科学教育学会研究会研究報告
    • Related Report
      2019 Research-status Report
  • [Presentation] Creating contact points between empirical modelling and theoretical modelling in teacher education: The case of pendulum problem2019

    • Author(s)
      Masafumi Kaneko, Akihiko Saeki, & Takashi Kawakami
    • Organizer
      The 11th Congress of the European Society for Research in Mathematics Education (CERME11)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 統計教育におけるモデリング研究の世界的傾向に関する一考察2018

    • Author(s)
      川上 貴
    • Organizer
      日本数学教育学会第51回秋期研究大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 算数科で求められる統計教育とその実現のための教員養成・研修の在り方2018

    • Author(s)
      川上 貴
    • Organizer
      2018年度 統計関連学会連合大会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 統計的推論の促進におけるモデルとモデリングの役割―ある児童によるグラフの作り替えの事例からの示唆―2018

    • Author(s)
      川上 貴
    • Organizer
      日本科学教育学会第42回年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 汎用的能力の育成におけるモデル・モデリングに関する学習指導の貢献を探る―企画趣旨―2018

    • Author(s)
      川上 貴
    • Organizer
      日本科学教育学会第42回年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 中学校数学における「歩く」事象をもとにした「速さ」の概念の深化・拡充―微分につながる解法に焦点をあてて―2018

    • Author(s)
      米田重和,川上 貴,佐伯昭彦,金児正史,山口高志
    • Organizer
      日本科学教育学会第42回年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 目的に応じてグラフを作り替えていく統計指導―小学校第5学年の事例―2018

    • Author(s)
      立野真一・川上 貴
    • Organizer
      日本数学教育学会第100回全国大会
    • Related Report
      2018 Research-status Report
  • [Presentation] YEAR 6 STUDENTS' IDENTIFICATION OF MATHEMATICAL MODELS OF SPEED WHEN MAKING SENSE OF " WALKING "2017

    • Author(s)
      Takashi Kawakami, Shigekazu Komeda, Akihiko Saeki
    • Organizer
      The 18th Conference of the International Community of Teachers of Modelling and Applications (ICTMA18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students2017

    • Author(s)
      higekazu Komeda, Takashi Kawakami, Masafumi Kaneko, Takashi Yamaguchi
    • Organizer
      The 18th Conference of the International Community of Teachers of Modelling and Applications (ICTMA18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数学的モデリングの授業実践を支援する教師向けガイドライン―米国のGAIMMEレポート―2017

    • Author(s)
      川上 貴
    • Organizer
      日本科学教育学会第41回年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 数学的モデリングの指導に関わる教師教育のための教材開発―数学的モデリング指導の初心者を対象に―2017

    • Author(s)
      佐伯昭彦,川上 貴,金児正史
    • Organizer
      日本科学教育学会第41回年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 小学校教師の算数教材に対する捉え方について―「現実の世界」と「数学の世界」を視点として―2017

    • Author(s)
      川上 貴
    • Organizer
      日本教材学会第29回研究発表大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 小学校教師の算数教科書の問題の捉え方について―数学的モデリング指導に要する教師の資質・能力の育成に向けて―2017

    • Author(s)
      川上 貴
    • Organizer
      平成29年度第5回日本科学教育学会研究会
    • Related Report
      2017 Research-status Report
  • [Book] レッツ! データサイエンス 親子で学ぶ! 統計学はじめて図鑑2017

    • Author(s)
      渡辺美智子,青山和裕,川上貴,山口和範
    • Total Pages
      144
    • Publisher
      日本図書センター
    • ISBN
      4284203940
    • Related Report
      2017 Research-status Report
  • [Book] 平成29年版 学習指導要領改訂のポイント 小学校 算数 (『授業力&学級経営力』PLUS)2017

    • Author(s)
      笠井健一,藤井斉亮,清水美憲,齊藤一弥,川上貴,他
    • Total Pages
      117
    • Publisher
      明治図書
    • ISBN
      4182713214
    • Related Report
      2017 Research-status Report
  • [Remarks] Researchgate

    • URL

      https://www.researchgate.net/profile/Takashi_Kawakami

    • Related Report
      2018 Research-status Report
  • [Remarks] Researchmap

    • URL

      https://researchmap.jp/kenshin/

    • Related Report
      2018 Research-status Report

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Published: 2017-04-28   Modified: 2023-01-30  

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