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Japan-US Cross-cultural Study on Mathematical Problem Solving

Research Project

Project/Area Number 61580242
Research Category

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

Allocation TypeSingle-year Grants
Research Field 科学教育(含教育工学)
Research InstitutionUniversity of Tsukuba

Principal Investigator

MIWA Tatsuro  University of Tsukuba, Institute of Educatio, Professor, 教育学系, 教授 (70030278)

Co-Investigator(Kenkyū-buntansha) NOHDA Nobuhiko  University of Tsukuba, Institute of Education, Associate Professor, 教育学系, 助教授 (80020121)
KADOWAKI Atsushi  University of Tsukuba, Institute of Education, Associate Professor, 教育学系, 助教授 (80015924)
HASEGAWA Sakae  University of Tsukuba, Institute of Education, Professor, 教育学系, 教授 (00018178)
Project Period (FY) 1986 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1987: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1986: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsMathematical Problem Solving / Cross-cultural Study / Language Expression / Algebraic Expression / Strategies for Problem Solving / 問題の一般化 / 教科書比較 / 数学達成度
Research Abstract

Problem solving is a focus of school mathematics curricula now. This is clear in Japan and the United States, typically in recently published draft of 'the National Standard for School Mathematics Curricula' by National Ouncil of Teachers of Mathematics. However, many students in both countries have difficulties in mathematical problem solving. These difficulties are deeply influenced by students' cultural background, such as language expression, articulation of schools, especially entrance examination, and peopl's conception of mathematics and of school education, etc..
In problem solving process of Japanese students, lower graders present a variety of solving methods, and higher graders present increasingly less variety of methods but of more mathematical value. In contrast, for the US students, as they become higher graders, their solutions are in a more variety and of more mathematical value.
In translating a sentence involving ratio into algebraic expressions, Japanese upper secondary school students are quite well when the given sentence is in Japanese and also well when it is in English, compared with the US college students. This is because Japanese language has precise expression indicating ratio between two quantities and Japanese students are sensitive in using letters in algebraic expressions.
In geometric problem solving, Japanese upper secondary school students tend to use algebraic methods frequently they have just studied, but not elementary geometric methods. It seems difficult for them to generalize the geometric problem.

Report

(2 results)
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report
  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] 三輪辰郎: 日本科学教育学会年会論文集. 11. 225-228 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 能田伸彦: 日本数学教育学会第20回数学教育論文発表会. 20. 280-285 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tatsuro Miwa: "Mathematical Problem Solving - A Cross-cultural Study between Japan and the United States" Proceedings of Annual Meeting of Japan Society of Science Education. 11. 225-228 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Nobuhiko Nohda: "Cross-cultural Study on Mathematical Problem Solving in Jan and the Unite States - from cognitive developmental viewpoint-" Proceedings of Annual Research Meeting of Japan Society of Mathematical Education. 20. 280-285 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary

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Published: 1987-03-31   Modified: 2016-04-21  

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