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Urgent issues and future prospect of high school mathemaics education

Research Project

Project/Area Number 05301092
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field Science education
Research InstitutionMEIJI UNIVERSITY

Principal Investigator

FUJITA Hiroshi  MEIJI UNIV.MATHEMATICS PROFESSOR, 理工学部, 教授 (80011427)

Co-Investigator(Kenkyū-buntansha) OCHIAI Takusiro  UNIV OF TOKYO MATHEMATCAL SCIENCE,PROFESSOR, 大学院・数理科学研究所, 教授 (90028241)
HOSOI Tsutomu  TOKYO SCIENCE UNIV.MATHEMATICS,PROFESSOR, 理工学部, 教授 (30055305)
MORIMOTO Mituo  SOPHIA UNIV.MATHEMATICS.PROFESSOR, 理工学部, 教授 (80053677)
IITAKA Sigeru  GAKUSHUIN UNIV.MATHEMATICS.PROFESSOR, 理学部, 教授 (20011588)
SAWADA Tosio  NATIONAL INST.CENTER OF SCI.EFDC.DIRECTOR, 科学教育センター, センター長 (40000062)
小松 彦三郎  東京大学, 大学院数理科学研究所, 教授 (40011473)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 1994: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1993: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsMathematics education / Mathematical thinking / Mathematical literacy / Shirking mathematics / Textbook autorization / intellectual aspiration / principle of equality / proper age / 知的向上心の衰退 / 平等主義 / 適齢 / 高校数学教育 / 大学数学教育 / ICME9 / 教育課程審議会
Research Abstract

Our study has been carried out in conscious of the importance of mathematics competence of intellectual citizens in the era of information, and the basic role of mathematics for development of modern science and technology, and with serious concern over the issues of the so-called shirking mathematics by students. As the result, we reached the following assertions and proposals :
1.Our basic principle to set the purpose of mathematics education at the two foci targets of Mathematics Literacy and Mathematical Thinking will remain effectively in implementing the new curriculum successfully as well as in stopping students' shirking or avoidance of mathematics.
2.Thanks to cooperation of the Center of University Entrance Examination and individual university mathematics professors, along the line of our previous proposals, an acceptable design of mathematics examination for the university entrance examination according to the new curriculum is going to be agreed, including some option modules in Math A,B and C.Still some more efforts must be made in future concerning computer modules.
3.The way of the textbook authorization by Monbusho must be relaxd in order to be conform with the objectives of the new curriculum.
4.The role of mathematics teaching at the secondary education is critically important to promote students' future potential, to stop recent tendencies among general students to avoid deep thinking, and to convert their lack of intellectual aspirations. In turn this depends on level of excellent mathematics teachers who themselves recognize the importance of academic study and deny the fake principle of lazy and uniform equality.
5.In view of the proper age to study, we claim that mathematics must be taught with particular intensity and with sufficiently allotted time, at the first and middle periods of the secondary education.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (86 results)

All Other

All Publications (86 results)

  • [Publications] 藤田 宏: "新しい世紀の知性と応用数理" 駿台フォーラム. 12. 1-11 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤田 宏: "大学における研究教育は如何にあるべきか--理工学部の視点から--" 明治大学理工学部研究報告 50周年記念特別号. 3-8 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Fujita: "Concern over a crisis of mathematics education in Japan; Its real and virtual aspects." Proc.5th Nations Conf.on Maht.Educ.,Osaka. 1-7 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Fujita: "New paradigm of applied mathematics;its historical position and projection on mathematics education," J.Cult.Hist.Math.,. 3. 28-33 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Fujita: "Principles in organizing the university mathematics curriculum for scientists and engineers," Proc.SEACME 6,Surabaya,Indonesia,June. 1-11 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 飯高 茂: "パソコンによる点字と普通字の自動変換" 学習院大学計算機センター年報. 15. 21-53 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 飯高 茂: "放物線,楕円,そして一般の多様体へ" 数理科学. 3. 10-15 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 植竹 恒男: "算数・数学科における学習用ソフトウェアとその活用に関する研究," 日数教会誌. 76. 38-44 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 片桐 重延: "数学科における新学習指導要領への対応(1)-高等学校を中心にして-21GC09:日本私学教育研究所紀要" 29-(2). 123-153 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 片桐 重延: "数学科における新学習指導要領への対応(2)-高等学校を中心にして-21GC10:日本私学教育研究所紀要" 30-(2). 171-198 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 公田 蔵: "微積分教育の半世紀" 立教大学研究報告(自然科学). 34. 1-18 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 坂間 利昭: "個々に応じ、数学のよさを実感させる指導の在り方" 都立教育研究所、平成6年度数学研修会集録. 2-7 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 澤田 利夫: "子供が21世紀を生き抜ける学力" 児童心理. 9月号. 9-15 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 正田 實: "思考を深めるためのコンピュータの活用" 中学校数学科教育実践講座,(ニチブン). 14. 202-211 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 正田 實: "時代の変革を見通した新しい数学教育の課題" 中学校数学科教育実践講座,(ニチブン). 1.1. 122-134 226-242 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 浪川 幸彦: "数学教育" 現代学校教育大事典(ぎょうせい). 4. 307-310 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 浪川 幸彦: "数学教育の危機が意味するもの" 科学. 65. 67-68 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 能田 伸彦: "Classroom trials teaching estimation in a problem solving context,Computational alternatives for the twenty-first century," NCTM. 179-186 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 一松 信: "数学の文化史/地図から数学へ" BASIC数学. 332. 4-7 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Fujii,J.W.Wilson S.Abramorich,: "Explaining and Visualizing Properties of Polygonal Numbers in Multiple-Application Computer-Enhanced Environment" 1994 International Symposium on Mahtematics/Sceience Education and Technology,July 21-23,1994,San Diego,CA,USA. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hosoi: "'What is Logic Education?'" ICMI-China Regional Conference on Mathematics Education held in Shanghai,China,August16-20. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 益子 典文: "初等代数における高次思考課題と標準課題の問題解決特性-相等関係の導出における知識運用の一般化レベルについて-" 鳴門教育大学研究紀要(教育科学編). 9. 151-166 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 益子 典文: "数学学習における高次思考技能に関する基礎的研究-初等代数における文字式表現課題-" 鳴門教育大学学校教育研究センター紀要. 8. 37-43 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 町田彰一郎: "The interaction of mathematics and culture in Japan" J.Cult.Histr.Math.Educ.3. 10-16 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 松本 幸夫: "4次元多様体の今と昔" 数学. 47. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 三輪 辰郎: "方程式と不等式の指導系統" 中学校数学科教育指導講座 方程式と不等式. 4. 188-202 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Morimoto,H.Huy Bang: "The sequence of Luxenbourg norms of derivatives" Tokyo J.Math.17. 141-149 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 八杉 満利子: "底力のある人材を(教育上の例外措置・一言メッセージ)" 文部時報. 1406. 53-53 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 吉川 敦: "数学科は変身を迫られている" 数学. 45. 187-188 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 吉川 敦: "九州大学大学院・数理学研究科の目指すもの" 応用数理. 1.3. 55-58 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Yokochi: "Programmable calculator for university mathematics and science teachers," Bull.for Math.Educ.Study,Special Issue,German-Japanese symposium,. 2-4 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 渡辺 信: "発見を主体とする数学授業" 華北五省市数学教育研究会報告論文集. 21-25 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤田宏,今野浩,田辺国士: "最適化法" 岩波書店(岩波応用数学講座), 146 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤田宏,今野礼二: "基礎解析I" 岩波書店(岩波応用数学講座), 99 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤田宏,今野礼二: "基礎解析II" 岩波書店(岩波応用数学講座), 240 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小松 彦三郎: "ベクトル解析と多様体I" 岩波書店(岩波応用数学講座), 126 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 浪川幸彦・飯高茂・上野健爾: "デカルトの精神と代数幾何" 日本評論社, 244 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 橋本吉彦・樋口禎一: "数学科教育法" 牧野書店, 180 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森正武,室田一雄,杉原正顕: "岩波講座応用数学「数値計算の基礎」" 岩波書店, 134 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森本光生: "パソコンによる解析入門" 放送大学, 230 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 横地 清 編著: "21世紀の学校数学の展望" 誠文堂新光社, 486(137) (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] FUJITA,Hiroshi: "Concern over a crisis of mathematics education in Japan ; Its real and virtual aspects." Proc.5th Nations Conf.on Maht. Educ., Osaka. 1-7 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] FUJITA,Hiroshi: "New paradigm of applied mathematics ; its historical position and projection of mathematics education" J.Cult. Hist. Math.3. 28-33 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] FUJITA,Hiroshi: "Principles in organizing the university mathematics curriculum for scientists and engineers" Proc. SEACME 6, Surabaya, Indonesia, June. 1-11 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] NOHDA,Nobuhiko: "Classroom trials teaching estimation in a problem solving eontext, Computational alternatives for the twenty-first century" NCTM. 179-186 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] MACIDA,Shoiciro: "The interaction of mathemtics and culture in Japan" J.Cult. Histr. Math. Educ.3. 10-16 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] MORIMOTO,Mituo and H.Huy Bang: "The sequence of Luxenbourg norms of derivatives" Tokyo J.Math.17. 141-149 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] FUJITA,Hiroshi et al.: Methods of optimization. IWANAMI,Shoten, 146 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] FUJITA,Hiroshi and Konno, Reiji: Basic Analysis I. IWANAMI,Shoten, 99 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤田 宏: "新しい世紀の知性と応用数理" 駿台フォーラム. 12. 1-11 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤田 宏: "大学における研究教育は如何にあるべきか--理工学部の視点から--" 明治大学理工学部研究報告 50周年記念特別号. 3-8 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Fujita: "Concern over a crisis of mathematics education in Japan; Its real and virtual aspects." Proc.5th Nations Conf.on Math.Educ.,Osaka. 1-7 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 飯高 茂: "パソコンによる点字と普通字の自動変換" 学習院大学計算機センター年報. 15. 21-53 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 片桐 重延: "数学科における新学習指導要領への対応(1)-高等学校を中心にして-" 日本私学教育研究所紀要. 29-(2). 123-153 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 片桐 重延: "数学科における学習指導要領への対応(2)-高等学校を中心にして-" 日本私学教育研究所紀要. 30-(2). 171-198 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 公田 蔵: "微積分教育の半世紀" 立教大学研究報告(自然科学). 34. 1-18 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 坂間 利昭: "個々に応じ、数学のよさを実感させる指導の在り方" 都立教育研究、平成6年度数学研修会集録. 2-7 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 浪川 幸彦: "数学教育" 現代学校教育大事典(ぎょうせい). 4. 307-310 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 浪川 幸彦: "数学教育の危機が意味するもの" 科学. 65. 67-68 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 一松 信: "数学の文化史/地図から数学へ" BASIC数学. 332. 4-7 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Fujii,S.Abramorich,J.W.Wilson: "Explaining and Visualizing Properties of Polygonal Numbers in Multiple-application Computer^- Enhanced Environment," 1994 International Symposium on Mathematics/Science Education and Technology,July 21-23,1994,San Diego. (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.hosoi: "'What is Logic Education?'" ICMI-China Regional Conference on Mathematics Education held in Shanghai,China,August 16-20,1994. (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 益子 典文: "初等代数における高次思考課題と標準課題の問題解決特性-相等関係の導出における知識運用の一般化レベルについて-" 鳴門教育大学研究紀要(教育科学編). 9. 151-166 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 益子 典文: "数学学習における高次思考技能に関する基礎的研究-初等代数における文字式表現課題-" 鳴門教育大学学校教育研究センター紀要. 8. 37-43 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 松本 幸夫: "4次元多様体の今と昔" 数学. 47. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 三輪 辰郎: "方程式と不等式の指導系統" 中学校数学科教育指導講座 方程式と不等式. 4. 188-202 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Huy Bang,M.Morimoto: "The sequence of Luxenbourg norms of derivatives" Tokyo J.Math.17. 141-149 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 八杉 満利子: "底力のある人材を(教育上の例外措置・一言メッセージ)" 文部時報. 1406. 53-53 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Yokochi: "programmable calculator for university mathematics and science teachers," Bull.for Math.Educ.Study,Special Issue,German-Japanese symposium,. 2-4 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 渡辺 信: "発見を主体とする数学授業" 華北五省市数学教育研究会報告論文集. 21-25 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤田宏・今野浩・田辺国士: "最適化法" 岩波書店, 146 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤田宏・今野礼二: "基礎解析I" 岩波書店, 99 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤田宏・今野礼二: "基礎解析II" 岩波書店, 240 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 浪川幸彦・飯高茂・上野健爾: "デカルトの精神と代数幾何" 日本評論社, 244 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 橋本吉彦・樋口禎一: "数学科教育法" 牧野書店, 180 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森正武・室田一雄・杉原正顕: "岩波講座応用数学「数値計算の基礎」" 岩波書店, 134 (1993)

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  • [Publications] 森本光生: "パソコンによる解析入門" 放送大学, 230 (1995)

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  • [Publications] 横地 清 編著: "21世紀の学校数学の展望" 誠文堂新光社, 486(137) (1994)

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  • [Publications] 藤田 宏: "New paradigm of applied mathematics;its historical position and projection on mathematics education" J.Cult.Hist.Math.3. 28-33 (1993)

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      1993 Annual Research Report
  • [Publications] 町田 彰一郎: "The interaction of mathematics and culture in Japan" J.Cult.Hist.Math.3. 10-16 (1993)

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  • [Publications] 三輪 辰郎: "School mathematics education in near future;The prospect" Tsukuba J.of Educ.Study in Math.12-B. 1-4 (1993)

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  • [Publications] 能田 伸彦: "How to link affective and cognitive aspects in mathematics class---comparison of two teaching trials on problem solving---" Psychology of Math.Educ.17. 8-10 (1993)

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  • [Publications] 飯高 茂: "放物線、楕円、そして一般の代数多様体へ" 数理科学. 32. 10-15 (1994)

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  • [Publications] 吉川 敦: "九州大学大学院・数理学研究科の目指すもの" 応用数理. 3. 55-58 (1993)

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  • [Publications] 藤田 宏: "基礎解析I" 岩波書店(応用数学講座), 99 (1994)

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  • [Publications] 一松 信: "複素数と複素平面" 森北出版, 171 (1993)

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Published: 1993-04-01   Modified: 2016-04-21  

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