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1998 Fiscal Year Final Research Report Summary

EXPRESSION FRAME OF THINKING ACTIVITY FOR LEARNING MATHEMATICS

Research Project

Project/Area Number 08680199
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionFUKUI UNIVERSITY

Principal Investigator

YANAGIMOTO Sigekazu  FUKUI UNIVERSITY, 教育学部, 教授 (20042971)

Co-Investigator(Kenkyū-buntansha) TAKENOUTI Oasamu  OSAKA INTERNATIONAL UNIVERSITY, 経営情報学部, 教授 (20029375)
Project Period (FY) 1996 – 1998
KeywordsMathematics Education / Teaching Methods / Expression Frame of Thinking Activity / Thinking Process / Teaching-Learning Process / Do Math (orDoing Math) / Three Myself / Constructivism
Research Abstract

Main results of our research are given by the following (1) and (2)
(1) In ordinary math classes, most of the teachers try to infuse mathematical concepts or knowledge written in the textbook to the students. They then encounter sometimes with serious difficulties to make students to form clear images of notions in their minds, We have developed , in this research, a new teaching-learning process where all students can construct the mathematical concepts and knowledge written in the textbook by themselves by making use of "Expression Frame" defined by the following (a) and (b) .
(a)Students may construct a narrative of thinking activities by making use of an of "Expression Frame".
(b)Any "Expression Frame" does not represent any narrative of thinking activities.
(2) We may consider the" Three myself' M 1, M2 and MS corresponding to the following activities (1), (2) and (3) respectively. (1) Dialogue with visible object of attention. (2)Dialogue with object of attention in mind.
(3) Construct a new dialogue by combining (1) and (2). Many researchers on mathematics education have emphasized that math class where the students can make Mathematical concepts and knowledge by their own efforts. But none of them shows a method by which the students can construct the mathematical concepts and knowledge by themselves. In this research, we have established a principle of teaching-learning process which satisfies the following.
(A)" Three myself' Ml, M2 and M3 in students' mind are able to construct mathematical concept or knowledge written in the textbook.
(B)A student is able to combine his/her thinking with other student's thinking by making use of the "Expression Frame".

  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] 柳本成一: "数学の授業の人間化" 数学教育学会研究紀要1996年春季年会論文集. 173-178 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 柳本成一: "数学教育の人間化-特殊教育にも通用する教育技術の開発" 数学教育学会研究紀要1996年秋季年会論文集. 120-123 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 柳本成一: "個人及び集団で思考する方法について-思考活動の表現フレーム-" 教育工学関連学協会連合第5回全国大会講演論文集. 231-234 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 柳本成一: "Freudenthalの数学教育の問題(major problems)を考える思考活動について" 日本数学教育学会数学教育論文発表会論文集. 673-674 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigekazu Yanagimoto: "Fractional Concepts Constructed by “Three Myself"-Expression Frame of Thinking Activity-" Proceeding of The International Conference on Mathematics Education and Cultural Hislory of Mathematics. 29-32 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigekazu Yanagimoto: "Recent Development of Primary School Teaching Materials and Methods for Japanese Hearing-and Speech-Impaired Students in Regular Mathematics Progrdms" Focus on Learning Problems in Mathematics. Vol.21-No.1. 35-43 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigekazu Yanagimoto: "Humanizing Mathematics Class" Bulletin for Mathematics Education Study, Mathematics Education Society ofJapan. 173-178 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigekazu Yanagimoto: "Humanizing Mathematics Education-Development of Teaching Methods and Materials for the Physically or Mentally Handicapped Students-" Bulletin for Mathematics Education Study, Mathematics Education Society ofJapan. 120-123 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigekazu Yanagimoto: ""Expression Frame of Thinking Activity for Personal and Group Thinking"" Proceeding of The Fifth Joint Conference on Educational Technology. 231-234 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigekazu Yanagimoto: "Thinking Activity for Solving Major Problems Presented by Freudenthal" Proceeding of The Conference on Mathematics Education, Japan Society of Mathematical Education. 673-674 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ShigekazuYanagimoto: "Expression Frame of Thinking Activity for Constructing Mathematical Proposition" Bulletin for Mathematics Education Study, Mathematics Education Society of Japan. 24-27 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigekazu Yanagimoto: "Fractional Concepts Constructed by Three Myself" Proceeding of The International Conference on Mathematics Education and Cultural History of Mathematics. 29-32 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigekazu Yanagimoto: "Recent Development of Primary School Teaching Materials and Methods for Japanese Hearing-and Speech-Impaired Students in Regular Mathematics Programs" Focus on Learning Problems in Mathmatics. Vol.21, No.1. 35-43 (1999)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-12-08  

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