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Developmental Study for Teeching and Assessment on Variation of School Mathematics

Research Project

Project/Area Number 05451150
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 教科教育
Research InstitutionUniversity of Tsukuba

Principal Investigator

NOHDA Nobuhiko  University of Tsukuba, Institute of Education, Professor, 教育学系, 教授 (80020121)

Co-Investigator(Kenkyū-buntansha) HINO Keiko  University of Tsukuba, Institute of Education, Assisutant, 教育学系, 助手 (70272143)
MIYAZAKI Mikio  University of Tsukuba, Institute of Education, Assisutant, 教育学系, 助手 (10261760)
ISODA Masami  University of Tsukuba, Institute of Education, Associate Professor, 教育学系, 講師 (70212967)
SHIMIZU Shizumi  University of Tsukuba, Institute of Education, Assisutant Professor, 教育学系, 助教授 (20115661)
大谷 実  金沢大学, 教育学部, 助教授 (50241758)
杜 威  筑波大学, 教育学系, 助手 (30240683)
関口 靖広  筑波大学, 教育学系, 助手 (40236089)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1993: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsschool / Mathematics / Teaching / Evaluation / Open problem / closed problem / 学校数学 / 多様化 / 指導と評価 / オープンな問題 / 個性化 / 日米共同研究 / 多様性 / 電卓 / computer
Research Abstract

Teacher has a consensus as follows ;
(a) it is possible for students to create mathematics on their own way with keeping a balance between teaching and assessing aspects,
(b) it is possible teachers lead students to higher level mathematical activities through teaching and assessing their activities. Throughout our research working group, we had opportunities to meet with participants how to enhance "Aufheben" teaching and assessing points.
Thgrough these activities, the following points were found ;
(1) For the purpose of promorting "Aufheben" teaching and assessing points, problems used in the mathematics class need to contain developmental features in its mathematical content. We have been arguing on the importance of developing these problems by noting the words "method and content that are open to both human being and mathematics".
(2) Teachers should develop their class activities by using these problems on a everyday basis. We propose teaching and assessment methods that enable teachers to summare students' variety of thinking from a mathematical perspective and to lead students to the ways of thinking that enhance their interests. This method will serve for developing and generalizing mathematics activities in the classroom across all grades.
These two points had exactly what our study has accomplished and constituted characteristics of our study.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] "PROBLEM SOLVING USING OPEN-ENDED PROBLEMS' IN MATHEMATICS TEACHING" University of Nottingharn. 225-234 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "ACTUAL COMMUNICATION IN THE MATHEMATICAL CLASSROOM" LEA. 266-271 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Paradigm of the,open approach' method in mathematics teaching" Zentralblatt fur Didaktik der Mathematik,Jahrgang 23. 32-37 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Computational Estimation Performance and Strategies Used By Fifth- and Eight-Grade Japanese Students" JRE,NCTM. 39-58 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Computational Alternatives for the Twenty-first Century,Cross-Oultural Perspectives from Japan and the United States" NCTM,Edited by Robert E Reys and Nobuhiko Nohda. 1-211 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N Nohda and T.yabe: "Classroom trials of teaching estimation in a problem-solving context;Computational Alternatives for the Twenty-first Century,Perspectives from Japan and the United States" 179-186 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N Nohda: "MATHEMATICAL PATTERN- FINDING IN PROBLEM-SOLVING AND PERFORMANCE OF JAPANESE STUDENTS" Southern Illinois University. 342-356 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Paradigm of Open-Approach' Method in the Math Classroom Activities" PROCEEDINGS OF 14th PME Conference. 201-208 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "A Study of Problem Solving with Cabri-Geometry in Secondary School Mathematics" Proceedings of US-Japan Seminar on Computer Use in School Math. 187-203 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "How to link affective and cognitive aspects in mathematics class-Comparison of two teaching trials on problem solving-" Psychology of Mathematics Education Proceedings of the seventeenth international conference,University of. 5-8 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "PROBLEM SOLVING USING "OPEN-ENDED PROBLEMS" IN MATHEMATICS TEACHING" University of Nottingham. 225-234 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "ACTUAL COMMUNICATION IN THE MATHEMATICAL CLASSROOM" LEA. 266-271 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Paradigm of the, open approach' method in mathematics teaching" Zentralblatt fur Didaktik der Mathematik, Jahrgang 23. 7. 32-37 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Computational Estimation Performance and Strategies Used By Fifth-and Eight-Grade Japanese Students" JRME,NCTM. 3. 39-58 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Computational Alternatives for the Twenty-first Century, Cross-Cultural Perspectives from Japan and the United States" NCTM,Edited by Robert E Reys and Nobuhiko Nohda. 8. 1-211 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N Nohda and T.Yabe: "Classroom trials of teaching estimation in a problem-solving context ; Computational Alternatives for the Twenty-first Century, Perspectives from Japan and the United States" 8. 179-186 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N Nohda: "MATHEMATICAL PATTERN-FINDING IN PROBLEM-SOLVING AND PERFORMANCE OF JAPANESE STUDENTS" Southern Illinois University. 7. 342-356 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "Paradigm of 'Open-Approach' Method in the Math Classroom Activities" PROCEEDINGS OF 14th PME Conference. 6. 201-208 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "A Study of Problem Solving with Cabri-Geometry in Secondary School Mathematics" Proceedings of US-Japan Seminar on Computer Use in School Math. 8. 187-203 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] "How to link affective and cognitive aspects in mathematics class-Comparison of two teaching trials on problem solving-" Psychology of Mathematics Education Proceedings of the seventeenth international conference, University of. 7. 5-8 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 能田信彦: "数学学習の理論化へむけて" 産業図書, 346 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 能田信彦: "新しい学力観に立つ算数科の授業の工夫" 東洋館, 196 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 能田伸彦: "Paradigm of Open-Approach' Method in the Math Classroom Activities" Southern Illinois University. 1. 342-356 (1987)

    • Related Report
      1994 Annual Research Report
  • [Publications] 能田伸彦: "A Study of Problem Solving with Cabri-Geometry in Secondary School Mathematics" PROCEEDINGS OF 14th PME. 14. 201-208 (1990)

    • Related Report
      1994 Annual Research Report
  • [Publications] 能田伸彦: "How to link affective and cognitive aspects in mathematics class-Comparison of two teaching" Proceedings of US-Japan Seminar on Computer Use in School Math.3. 187-208 (1992)

    • Related Report
      1994 Annual Research Report
  • [Publications] 能田伸彦: "Paradigm of the,open approach'method in mathematics teaching" Zentralblatt fur Didaktik der Mathematik,Jahrgang 23,. 23. 32-37 (1992)

    • Related Report
      1994 Annual Research Report
  • [Publications] 能田伸彦: "PROBLEM SOLVING USING "OPEN-ENDED PROBLEMS"IN MATHEMATICS TEACHING" University of Nottingham, 234 (1992)

    • Related Report
      1994 Annual Research Report
  • [Publications] 能田伸彦: "ACTUAL COMMUNICATION IN THE MATHEMATICAL CLASSROOM" LEA, 271 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.NOHDA: "Teaching and Evaluation Using Open-ended Problem." ZDM(ドイツの数学教育の雑誌). 1-10 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.NOHDA: "Study of effective Computation in Math Education" 日・中・米問題解決研究. 1-15 (1994)

    • Related Report
      1993 Annual Research Report

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

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