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Cross-Cultural Research on 'Number and Computation by students in US-Japan's Higher Technical Society.

Research Project

Project/Area Number 02801033
Research Category

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

Allocation TypeSingle-year Grants
Research Field Educaion
Research InstitutionUniversity of Tsukuba

Principal Investigator

NOHDA N.  Tsukuba Education Professor., 教育学系, 教授 (80020121)

Co-Investigator(Kenkyū-buntansha) SHIMIGA K.  NIER DM, 教材開発, 研究員 (00192609)
NAGASU N.  Tsukuba Education Associate Prof., 教育学系, 助教授 (90018044)
KADOWAKI A.  Tsukuba Education Professor., 教育学系, 教授 (80015924)
HASEGAWA S.  Tsukuba Education Professor., 教育学系, 教授 (00018178)
三輪 辰郎  筑波大学, 教育学系・数学教育, 教授 (70030278)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1991: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
KeywordsEstimation / Mental computation / Number sense / Reformulation process / number / 高度技術社会 / 日米の比較研究 / 数と計算
Research Abstract

Estimation and number sense in the computation has been highly emphasized in the elementary school mathematics curriculum in Japan. Computational estimations are emphasized in the 1989 latest version of the Ministry of Educational curriculum recommendation. Solution by mental computation has been used to solve problems in the classroom activities. We would like to assert some typical distinctions of an effectual outcome among three trials to use computational alternatives, namely, transformation, reformulation and compensation Using number sense on the mental computation seem to be both more efficient ways than paper-pencil computation. This paper reports a comparison of effectual outcomes to teaching trials with these computational alternatives.
We conclude to assert the value in the use of estimation and number sense in the process of understanding, solving and retension of the effect. This research suggests that higher-order thinking of mathematical problem solving is developed by the use of number sense in the computational estimations especially. It is useful for students to replace given number with more simple number and to change to a more simple situation. The value in the use of estimation in process of understanding solving and extending the problem lies in its nsefulness for the students to get the structure of the problem more easily. Also, it is useful for the students in the forecast of solutions and to make similar and general problems.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] Robert.E.Roys & Nobuhiko Nohda: "Computational Estimation Performance and Stratigies used by Japanese students" Journal for Research mathematics Education. 22-1. 39-51 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Robert. E. Reys & Nobuhiko, Nohda: "Computational Estimation Performance and strategies used by Japanese students" Journal for Research Mathematics Education. 22-1. 39-51 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 能田 伸彦: "見積りの歴史的考察" 新しい算数研究. 233. 34-39 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 能田 伸彦: "見積りの日本セミナ-に向けて" 新しい算数研究. 229. 32-33 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Robert.E.Reys,Nobuhik.Nohda,他: "Computatinal Estimation Performance and Strategies used by Japanese students" Journal for Reseanch uath.dducation. 22ー1. 39-58 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 能田 伸彦: "計算方法の選択:見積り、暗算、筆算、電卓" 数学教育論文発表会・論文集. 23. 179-184 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 清水・石田: "見積り上位者の認知プロセスの分析" 数学教育論文発表会・論文集. 23. 207-212 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 矢部・能田: "問題解決場面における見積りの役割についての一考察" 数学教育論文発表会・論文集. 23. 213-218 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Ed Silver: "The Role of Assessment in Math.Education Reform in US" 数学教育論文発表会・論文集. 23. 477-508 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] B.&R.Reys: "Computational EstimationーーSome Thoughts from Research" 数学教育論文発表会・論文集. 23. 173-178 (1990)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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