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A study on making and spread of collections of mathematical modelling teaching materials in secondary education.

Research Project

Project/Area Number 15K00916
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Science education
Research InstitutionKyoto University of Education

Principal Investigator

Yanagimoto Akira  京都教育大学, 教育学部, 教授 (90441401)

Co-Investigator(Kenkyū-buntansha) 河崎 哲嗣  岐阜大学, 教育学部, 准教授 (00582488)
松嵜 昭雄  埼玉大学, 教育学部, 准教授 (10533292)
西村 圭一  東京学芸大学, 教育学部, 教授 (30549358)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords数学的モデリング教材 / 数学活用 / 課題学習 / 数学の実用性 / 数学的モデリング / 数学有用性の認識
Outline of Final Research Achievements

We made the two booklets, Kansai edition and Kanto edition, which consisted of introduction work-sheet teaching materials for general school lessons from the mathematical modeling teaching materials which we investigated and developed. Some of them were on our website. And we made 400 copies of each booklets of the work-sheets and distributed to the main education centers in Japan.
There are 30 examples, "Our dining table is dangerous by desertification", "How necessary is the contaminated water storage tank?", "How much is the premium of the bicycle accident insurance?", "How does it turn out if we make a pension a tax method?", "How long is the runway of the airport?", "To win the hampionship at bobsled", "Can you take a photograph of the whole Cinderella Castle with a smartphone?", "Let's think about a new education policy", "Let's make up a 90 degrees system advertisement", "Let's identify the operation of the robot", "Let's decide the order of the chorus contest", and so on.

Report

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

    (29 results)

All 2018 2017 2016 2015 Other

All Journal Article (11 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 7 results) Presentation (14 results) (of which Int'l Joint Research: 5 results,  Invited: 1 results) Remarks (4 results)

  • [Journal Article] フェルミ推定を活用した数学的モデリングの基礎研究~小学校高年の児童を対象とした教育実験からの一考察~2018

    • Author(s)
      岡本英通・森田勝也・河﨑哲嗣
    • Journal Title

      近畿数学教育学会学会誌会誌

      Volume: 第31号 Pages: 1-14

    • Related Report
      2017 Annual Research Report
  • [Journal Article] A study of evaluation for modelling on the premise of using ICTs: Focus on functions of LEGO®MINDSTORMS®EV3 and graphing calculator2017

    • Author(s)
      Tsukahara Kosuke & Matsuzaki Akio
    • Journal Title

      International Journal of Research on Mathematics and Science Education

      Volume: 5 Pages: 11-18

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Studies to Implement Practical Mathematics in Japan2016

    • Author(s)
      柳本哲
    • Journal Title

      数学教育学会誌

      Volume: Vol.57/No.3,4 Pages: 169-175

    • NAID

      130007834233

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] 高等学校における数学的モデリングに関する実践事例-モデリング・チャレンジプログラムの記録-2016

    • Author(s)
      稲葉芳成,河崎哲嗣,黄瀬正敏,柳本哲
    • Journal Title

      科学教育研究

      Volume: Vol.40 No.2 Pages: 186-197

    • NAID

      130005162915

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] 高等学校情報科において乱数シミュレーションによるモデル化を通した数理科学的意思決定能力の育成を図る授業実践の事例研究2016

    • Author(s)
      後藤 貴裕, 西村 圭一
    • Journal Title

      科学教育研究

      Volume: Vol.40 No.2 Pages: 198-208

    • NAID

      130005162914

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] イギリスの後期中等教育段階の数学に関する改革について2016

    • Author(s)
      西村圭一
    • Journal Title

      数学教育

      Volume: 98巻7号 Pages: 20-23

    • NAID

      130007937089

    • Related Report
      2016 Research-status Report
  • [Journal Article] 日本とドイツの数学教育に関する比較研究-バイエルン州ギムナジウムの教科書における一考察-2016

    • Author(s)
      柳本 哲,谷 陽良
    • Journal Title

      京都教育大学紀要

      Volume: 128号 Pages: 35-44

    • NAID

      120006397741

    • Related Report
      2015 Research-status Report
  • [Journal Article] 数学的モデリングによるイノベーション教育に関する研究  ―「ソファ問題」を通して顕在化した関数教2016

    • Author(s)
      河﨑哲嗣,黄瀬正敏,前迫孝憲,稲葉芳成
    • Journal Title

      近畿数学教育学会会誌

      Volume: 29 Pages: 27-40

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mathematical Modelling Challenge Program for J.H.S. Students in Japan2015

    • Author(s)
      Akira Yanagimoto, Tetsushi Kawasaki, Noboru Yoshimura
    • Journal Title

      Mathematical Modelling in Education Research and Practice, International Perspectives on the Teaching and Learning of Mathematical Modelling

      Volume: 0 Pages: 579-589

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] データに基づく問題解決プロセスとその教材の開発-緑茶の官能データ分析を例に-2015

    • Author(s)
      山下雅代,新井健使,西村圭一,鈴木和幸
    • Journal Title

      日本教材学会誌『教材学研究』

      Volume: 26 Pages: 23-32

    • NAID

      130005167424

    • Related Report
      2015 Research-status Report
  • [Journal Article] 「90°システム広告」の作図方法に着目した数学教材-中等教育段階における課題学習教材の一例として-2015

    • Author(s)
      三島直人,松嵜昭雄
    • Journal Title

      日本数学教育学会誌

      Volume: 97(9) Pages: 13-21

    • NAID

      130008019169

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] 数学的な探究を評価するルーブリックの在り方について2018

    • Author(s)
      山﨑孝啓,柳本哲
    • Organizer
      数学教育学会春季年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 次世代のための算数数学科の授業づくり2018

    • Author(s)
      西村圭一
    • Organizer
      第7回科学技術教育フォーラム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 算数・数学教育におけるアクティブラーニング再考-中高の意義ある教育実践を考える-2017

    • Author(s)
      柳本哲
    • Organizer
      数学教育学会夏季研究会(関西エリア)
    • Related Report
      2017 Annual Research Report
  • [Presentation] プログラミングを取り入れたモデリング授業の実践報告2017

    • Author(s)
      塚原康介・松嵜昭雄
    • Organizer
      日本科学教育学会北関東支部会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 小・中・高等学校を見通したプログラミング指導とモデリング-ICT利用を前提とするモデリングの記述に焦点をあてて-2017

    • Author(s)
      松嵜昭雄
    • Organizer
      日本科学教育学会第41回年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 単元導入時の数学的モデリング教材開発-高校1年生の確率教材の実践-2016

    • Author(s)
      山田真生, 柳本哲
    • Organizer
      数学教育学会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-18
    • Related Report
      2016 Research-status Report
  • [Presentation] Open-ended Word Problems toward Mathematical Modelling in Japan2016

    • Author(s)
      NoboruYoshimura, Akira Yanagimoto
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      University of Hamburg
    • Year and Date
      2016-07-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 汎用的能力の育成に資するモデリングの学習指導過程-わが国のキャリア教育の新たな方向性を手掛かりとして-2016

    • Author(s)
      松嵜昭雄
    • Organizer
      日本数学教育学会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2016-06-12
    • Related Report
      2016 Research-status Report
  • [Presentation] Lesson Study at the upper secondary level in Japan: Focus on the 'Problem Solving Approach'2016

    • Author(s)
      Keiichi Nishimura
    • Organizer
      BSRLM Conference
    • Place of Presentation
      英国Loughborough大学
    • Year and Date
      2016-06-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 社会的問題の数学的モデリングをいかに扱うか-気温上昇と出生数減少問題を題材にして-2015

    • Author(s)
      吉村 昇,柳本 哲
    • Organizer
      数学教育学会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Related Report
      2015 Research-status Report
  • [Presentation] 独連邦共和国・バイエルン州における教科「情報」に関するモデリングの扱い -ロジカルシンキングの2015

    • Author(s)
      桑原承太郎,河崎哲嗣
    • Organizer
      日本科学教育学会
    • Place of Presentation
      山形大学
    • Year and Date
      2015-08-21
    • Related Report
      2015 Research-status Report
  • [Presentation] Modelling Challenge Programs at Secondary level in Japan2015

    • Author(s)
      Akira Yanagimoto, Noboru Yoshimura
    • Organizer
      ICTMA17
    • Place of Presentation
      Nottingham, UK
    • Year and Date
      2015-07-21
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical modelling workshop for graduate school students in Turkey using LEGO(R)MINDSTORMS(R)EV3 and graphing calculator.2015

    • Author(s)
      Matsuzaki, A., Tsukahara, K., Cetinkaya, U., & Cetinkaya, T. I.
    • Organizer
      ICTMA17
    • Place of Presentation
      Nottingham, UK
    • Year and Date
      2015-07-21
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Japan’s Ongoing Reform in Maths: Will ‘Modeling’ Help ?2015

    • Author(s)
      Keiichi Nishimura
    • Organizer
      ICTMA17
    • Place of Presentation
      Nottingham, UK
    • Year and Date
      2015-07-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Remarks] 数学HP教材 数学科柳本哲先生のHP 「数学的モデリング教材」

    • URL

      http://kyoushien.kyokyo-u.ac.jp/yanagimoto/index.htm

    • Related Report
      2017 Annual Research Report
  • [Remarks] 中高生の問題解決能力を育てる数学的モデリング教材集の作成と普及に関する研究

    • URL

      http://www.u-gakugei.ac.jp/~knishi/Mclass/modelling/

    • Related Report
      2017 Annual Research Report
  • [Remarks] 授業のたね/算数・数学のページ/1.数学HP教材 数学科柳本哲先生のHP 「数学的モデリング教材」

    • URL

      http://kyoushien.kyokyo-u.ac.jp/suugaku.htm

    • Related Report
      2016 Research-status Report
  • [Remarks] 数学的モデル化の入門教材

    • URL

      http://www.u-gakugei.ac.jp/~knishi/Mclass/modelling/

    • Related Report
      2016 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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