• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Study on Mathematics Education with "Cross Subjects" in Elementary and Secondaxy Education.

Research Project

Project/Area Number 13680331
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教科教育
Research InstitutionTOKAI UNIVERSITY

Principal Investigator

HIRANO Yoichi  Tokai University, School of Letters, Professor, 文学部, 教授 (20189856)

Co-Investigator(Kenkyū-buntansha) MORIYA Seiji  Kyoto University of Education, Faculty of Education, Professor, 教育学部, 教授 (00210196)
SUZUKI Takanori  School of High-Technology for Human Wellfare, Associate Professor, 開発工学部, 助教授 (20226525)
YAMAGAMI Akira  Liberal Axis Education Center, Professor, 総合教育センター, 教授 (40138665)
SHIMADA Keiko  Teikyo Heisei University, Faculty of Information, Associate Professor, 情報学部, 助教授 (40235619)
SINDO Toshihiko  University of Yamanashi, Faculty of Education and Human Sciences, Professor, 教育人間学部, 教授 (30211296)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥2,200,000 (Direct Cost: ¥2,200,000)
KeywordsMathematics Education / Cross Subjects / Integrated Study / Mathematiology / Mathematics and Culture / Mathematics and Science / Basic Theory for Math Education / Information Science / 数学学(mathematiology)
Research Abstract

The aim of this study is to investigate the possibility of mathematics education with "Cross Subjects". Here, what we call the "Cross Subjects" is a kind of teaching material, with which teachers can teach mathematical concepts and theories through human thoughts and activities(culture, art, science, history society etc.). This study consists of three sections : 1. the philosophy of mathematics education(for the future) ; 2. the "Cross Subjects" (program and practice) ; 3. teaching devices (planning and production). We held symposiums twice for mathematics teachers of elementary and secondary schools to discuss the basic philosophy of mathematics education, especially Integrated Study related with mathematics. The teaching devices mean some kind of tools which shows mathematical concepts and theories (for example, Pythagorean theorem, the figures of nature, etc.). Some of them move automatically under computer control).
Through this study, we conclude that it is important for mathematics teachers to realize mathematics education according to children's abilities for recognition to concepts of numbers, quantity, space, etc. For this purpose, the present textbooks are not always suitable, because they are constructed with universal mathematics arranged as a set of compact system. Our investigation shows that teachers have various possibilities to teach mathematics by means of "Cross subjects" which can link mathematical ideas to many kinds of human thoughts and activities, as well as mathematical devices.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (52 results)

All Other

All Publications (52 results)

  • [Publications] 平野 葉一: "数学教育における数学史利用の可能性 -数学と文化をめぐって-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 13-15 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 進藤 聡彦: "子供にとって数学的対象とは"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 5-7 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 守屋 誠司: "遊びがもたらす数学的認知-迷路をめぐって"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 8-10 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 島田 啓子: "新教科「情報」と他教科の関連-教科教育法を担当する立場から-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 11-12 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 進藤 聡彦: "算数・数学の自律的な学習を育てる-自己制御的な学習の視点から-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 109-111 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 山口 清: "数学教材の図的理解について"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 2-4 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 平野 葉一: "もの作り数学〜付属高校としての実践的取り組み"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 9-11 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 鈴木 孝典: "数学史の視点から〜アラビア数学に言及するときに留意すべきことがら"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 8 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 植野 義明: "『数学基礎』の教科書から総合学習への展開の可能性とその意味"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 6-7 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 植野 義明: "M.C.エッシャーのパターンによる平面のタイル張り…"数学教育学会誌 2002年度数学教育学会発表論文集. 臨時増刊. 57-59 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 黒木 伸明: "発展教材のあり方-教科書を補う教材の視点-"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 3-5 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 平野 葉一: "大学における数学史教育-専門と教養の視点から"数学教育学会誌 2003年度数学教育学会秋季例会発表論文集. 臨時増刊. 98-100 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 守屋 誠司: "数学に関する意識の違いの原因を考える-数学を創ってきた国-"数学教育学会誌 2003年度数学教育学会秋季例会発表論文隼. 臨時増刊. 14-16 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 平野 葉一: "変革を迫られる大学教育の中で数学教育の役割は?-文化史の側面から-"数学教育学会誌 2004年度数学教育学会春季年会発表論文集. 臨時増刊. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 平野 葉一, 中村 朋子: "デューラー『人体均衡論四書』における小数的表示"数学教育学会誌 2004年度数学教育学会春季年会発表論文集. 臨時増刊. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 小川 束, 平野 葉一: "数学の歴史-和算と西欧数学の発展"朝倉書店. 276 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi et al.: "Symposium : Beyond the curriculum, Future possibility of Integrated Studies related with mathematics education (1).(in Japanese, this includes the following articles)"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "Application of history of mathematics formathematics education"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shindo, Toshihiko: "What is mathematical objective for children?"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Moriya, Seiji: "Cognition in mathematics-through playing mazes"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shimada, Keiko: "On the relation of "Infonnatics" with other subjects"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yamaguchi, Kiyoshi: "Geometrical approach for teaching mathematics"Bulltin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 1-15 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shindo, Toshihiko: "For children's autonomic learning in mathematics education-from a viewpoint of self-controled learning"Builtin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 109-111 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "Note on Ethnomathematics and from the Viewpoint of Mathematics Education (in English)"International Conference on Mathematics Education, North-East Normal University, Changchun, China, August. (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi et al.: "Symposium: Beyond the curriculum, Future possibility of Integrated Studies related with mathematics education (2). (in Japanese, this includes the following articles)"Builtin for Mathematics Education Study, August, (Mathematics Education Society of Japan). 2-12 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "Report on the practical education at an attached high-school of university"Builtin for Mathematics Education Study, August, (Mathematics Education Society of Japan). 2-12 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Suzuki, Takanori: "Notice for studying the Arabic mathematics -from a viewpoint of histoiy of mathematics"Builtin for Mathematics Education Study, August, (Mathematics Education Society of Japan). 2-12 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ueno, Yoshiaki: "Development of "Basic Mathematics" to Integrated Studies"Builtin for Mathematics Education Study, August, (Mathematics Education Society of Japan). 2-12 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kuroki, Nobuaki: "Expansion text as teaching aid"Builtin for Mathematics Education Study, August, (Mathematics Education Society of Japan). 2-12 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ueno, Yoshiaki: "Tiling by using the Escher's Pattern (in Japanese)"Bulitin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 57-59 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "Ethnomathematics and Mathematiology (in English)"The 50^<th> Anniversary Conference, Inner Mongolia Normal University, China, September. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "How to teach history of mathematics to university students? (in Japanese)"Builtin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 98-100 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Moriya, Seiji: "Countries related to the formation of mathematics-on the difference of mathematical philosophies (in Japanese)"Builtin for Mathematics Education Study, Autumn, (Mathematics Education Society of Japan). 14-16 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi: "On the reform of mathematics education at Universities-from a viewpoint of cultural history (in Japanese)"Builtin for Mathematics Education Study, Spring, (Mathematics Education Society of Japan). 98-100 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hirano, Yoichi, Nakamura, Tomoko: "Decimal fractions in Durer's "Four Books" on the proportion of human bodies (in Japanese)"Builtin for Mathematics Education Study, Spring, (Mathematics Education Society of Japan). 4-6 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ogawa, Tsukane, Hirano, Yoichi: "Sugaku no Rekishi -Wasan to Seiousugaku no Hatten (History of Mathematics -Development of Wasan and Wester Mathematics) (in Japanese)"Asakura-shoten. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 平野 葉一: "大学における数学史教育-専門と教養の視点から"数学教育学会誌 2003年度数学教育学会秋季例会発表論文集. 臨時増刊. 98-100 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 守屋 誠司: "数学に関する意識の違いの原因を考える-数学を創ってきた国-"数学教育学会誌 2003年度数学教育学会秋季例会発表論文集. 臨時増刊. 14-16 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 平野 葉一: "変革を迫られる大学教育の中で数学教育の役割は?-文化史の側面から-"数学教育学会誌 2004年度数学教育学会春季年会発表論文集. 臨時増刊(2004年3月). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 平野 葉一, 中村 朋子: "デューラー『人体均衡論四書』における小数的表示"数学教育学会話 2004年度数学教育学会春季年会発表論文集. 臨時増刊(2004年3月). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 小川 束, 平野 葉一: "数学の歴史-和算と西欧数学の発展"朝倉書店. 276 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 平野 葉一: "もの作り数学〜付属高校としての実践的取り組み"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 9-11 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鈴木 孝典: "数学史の視点から〜アラビア数学に言及するときに留意すべきことがら"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 8 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 植野 義明: "『数学基礎』の教科書から総合学習への展開の可能性とその意味"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 6-7 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 植野 義明: "M.C.エッシャーのパターンによる平面のタイル張り・・・"数学教育学会誌 2002年度数学教育学会発表論文集. 臨時増刊. 57-59 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 黒木 伸明: "発展教材のあり方-教科書を補う教材の視点-"数学教育学会誌 2002年度数学教育学会夏季研究会発表論文集. 臨時増刊. 3-5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 平野 葉一: "数学教育における数学史利用の可能性 -数学と文化をめぐって-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 13-15 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 進藤 聡彦: "子供にとって数学的対象とは"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 5-7 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 守屋 誠司: "遊びがもたらす数学的認知-迷路をめぐって"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 8-10 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 島田 啓子: "新教科「情報」と他教科の関連 -教科教育法を担当する立場から-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 11-12 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 進藤 聡彦: "算数・数学の自律的な学習を育てる-自己制御的な学習の視点から-"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 109-111 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山口 清: "数学教材の図的理解について"数学教育学会誌 2001年度数学教育学会秋季例会発表論文集. 臨時増刊. 2-4 (2001)

    • Related Report
      2001 Annual Research Report

URL: 

Published: 2001-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi