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1995 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 1993 – 1995
Keywordsschool / Mathematics / Teaching / Evaluation / Open problem / closed problem
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.

Research Products

(20 results)

All Other

All Publications

  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1999-03-15  

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