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TEACING PROBLEM- SOLVING IN MATHEMATICS EDUCATION IN ACCORDANCE WITH STUDENT'S APTITUDE : WITH FOCUS ON THE SHIFT FROM QUANTITY TO QUARITY OF SELF STUDY.

Research Project

Project/Area Number 13680186
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

NOUDA Nobuhiko  IWATE UNIV., FACULTY OF EDUCATION, PROFFESOR, 教育学部, 教授 (80020121)

Co-Investigator(Kenkyū-buntansha) NUMATA Minoru  IWATE UNIV., FACULTY OF EDUCATION, PROFFESOR, 教育学部, 教授 (50028255)
ISODA Masami  TUKUBA UNIV., FACULTY OF EDUCATION, ASSISTANT PROFESSOR, 教育学系, 助教授 (70212967)
SIMIZU Sizumi  TUKUBA UNIV., FACULTY OF EDUCATION, ASSISTANT PROFESSOR, 教育学系, 助教授 (20115661)
KOMIYAMA Haruo  IWATE UNIV., FACULTY OF EDUCATION, ASSISTANT PROFFESOR, 教育学部, 教授 (90042762)
中嶋 文雄  岩手大学, 教育学部, 教授 (20004484)
小嶋 久祉  岩手大学, 教育学部, 教授 (90146118)
押切 源一  岩手大学, 教育学部, 教授 (70133931)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2002: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsTEACHING IN ACCORDANCE WITH INDIVIDUALITY / DEVELOPMENT STUDY / SUPPULEMENTALY STUDY / TEAM-TEACHING / ORGANIATION FOR TEACHING / METHODS OF TEACHING / ARITHMETICS / MATHEMATICS / 算数・数学 / 問題解決 / 適性別指導 / 自力学習
Research Abstract

Teaching Problem-Solving in Arithmetic / Mathematics Education in Accordance with Students' Aptitude ; With a Focus on the Shift from Quantity to Quality of Self-Study
This research aims to develop a teaching method that can motivate students to learn arithmetic/mathematics. In order to make learning worthwhile and promote future learning through current learning, teaching should provide learners with 'open' problems which can be tackled in various ways. Thus, in this study, we investigated ways in which to foster students' skills in problem solving and develop in them a quality and a kind of zest for life that will stay with them throughout their lives. Considering that one's hope for tomorrow is important, we initially introduced easier problems to the students and then let them tackle more complicated ones so that as many as possible could experience success and a sense of achievement.
Success stories of students becoming motivated to study mathematics by solving problems through trial and error and using their mathematical intuition and logical thinking they have acquired in the math class abound. It has been emphasized that increasing students' will to study through teaching designed to meet the level of each student is necessary. Thus, in this study we considered the requisites for realizing the aforementioned style of mathematics pedagogy which is also included in the national course of study. As one of the means to fulfill the requisite, small class-size instruction and team-teaching we discussed in terms of their effectiveness and need.
As one of the factors that contribute to the basic conditions for developing teachers who will practice the kind of math pedagogy mentioned above, a comparative analysis was done between the presentation of diagrams in Japanese school textbooks and their American counterparts. Lastly, a proposal for enhancing students' understanding of "numbers" in the elementary teacher-training program was made.

Report

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

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 磯田 正美: "グラフ電卓利用の研究成果とその将来-数学におけるテクノロジ利用の国際会議(ATCM2000)報告"教育科学数学教育8月号(明治図書出版). 525・8. 97-100 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 磯田 正美: "他者の立場に立つことからはじまる算数研究"新しい算数研究(8月号、東洋館). 368. 26-64 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 磯田 正美: "仮に求まったとする方程式論の発展"算数授業研究. 2002年秋号. 104-108 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 沼田 稔: "日本とアメリカにおける教科書の位置づけと図形教育の比較"岩手大学教育学部研究年報. 61・1. 89-96 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 磯田 正美: "発展・補充による個に応じた授業作り"ニチブン(CD-rom版)(中学校数学科実践講座所収). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 清水 静海: "教授組織を効果的に運用した授業"ニチブン(CD-rom版)(中学校数学科実践講座所収). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 小宮山晴夫: "数の話-代数構造を中心に-"国土社(連載)(数学教室所収:4月号から12回の予定). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masami ISODA: "Research results on use of graphic calculators and its future --- Report on International Conference on Application of Technology in Mathematics (ATCM2000)"Education Science-Mathematics Education. 525-8. 97-100 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masami ISODA: "Arithmetic research starting from viewpoints of others"New Arithmetic Research. 368-8. 26-64 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masami ISODA: "Expansion of theory of equation solving on use of a temporary solution"Arithmetic Class Research Autumn. issue 2002. 104-108 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Minoru NUMATA: "Comparison between Japan and U.S.A. concerning regards to textboods and figure education"Ann. Rep. Fac. Edu. Iwate Univ.. 61-1. 89-96 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masami ISODA: "Construction of classes according to individuals by development and supply (in "Practical courses on junior high school mathematics")"CD-rom. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shizumi SHIMIZU: "Classes through effective utilization of institution of teachers (in "Practical courses on junior high school mathematics")"CD-rom. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Haruo KOMIYAMA: "Lecture on Numbers ---with focus on algebraic structure--- Mathematics Classes"Kokudosha. twelve consecutive issues from April (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 磯田正美: "グラフ電卓利用の研究成果とその将来-数学におけるテクノロジ利用の国際会議(ATCM2000)報告"教育科学数学教育8月号(明治図書出版). 525・8. 97-100 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] 磯田正美: "他者の立場に立つことからはじまる算数研究"新しい算数研究(8月号、東洋館). 368. 26-64 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 磯田正美: "仮に求まったとする方程式論の発展"算数授業研究. 2002年秋号. 104-108 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 沼田 稔: "日本とアメリカにおける教科書の位置づけと図形教育の比較"岩手大学教育学部研究年報. 61・1. (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] 磯田 正美: "発展・補充による個に応じた授業作り"ニチブン(中学校数学科実践講座所収)(CD-rom版). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 清水 静海: "教授組織を効果的に運用した授業"ニチブン(中学校数学科実践講座所収)(CD-rom版). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 小宮山晴夫: "数の話-代数構造を中心に-"国土社(数学教室所収:4月号から12回の予定)(連載). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 熊田 伸彦: "数学的な考えが育つ授業"新しい算数研究. 6月号. 1 (2001)

    • Related Report
      2001 Annual Research Report

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

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