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A Chronometric Analysis of the Cognitive Process in Computational Operations for Diagnosing Arithmetic Thought Development

Research Project

Project/Area Number 58580221
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 InstitutionOkayama University

Principal Investigator

IZAWA Shuji (1984)  Okayama University, School of Education, Professor, 教育学部, 教授 (50014692)

伊沢 秀而  岡山大学, 教育学部, 教授

Co-Investigator(Kenkyū-buntansha) SAKO Akihito  Okayama University, School of Education, Assistant, 教育学部, 助手 (30144728)
垂水 共之  岡山大学, 教養部, 助教授 (50033915)
横山 節雄  東京学芸大学, 教育学部, 助教授 (20090532)
YANAGIHARA Masafumi  Okayama University, School of Education, Associate Professor, 教育学部, 助教授 (00032219)
近藤 勲  岡山大学, 教育学部, 助教授 (50033361)
Project Period (FY) 1983 – 1984
Project Status Completed (Fiscal Year 1984)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1984: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1983: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsarithmetic operation / thought process / reaction time / development assessment / database / arithmetic algorithm / diagnostic logic
Research Abstract

The amount of spending time in problem-solving will reflect the cognitive process at that, including the number of steps required, thought strategies used, and the like. With this assumption, following researches were carried on computational operations using a chronometric analysis, and their application to assessment of arithmetic thought development in children was discussed.
(a) The cognitive processing mechanisms in addition and subtraction, especially thought strategies, were investigated chronometrically and also from the psycholinguistic viewpoint. As the result, we clarified the nature of cognitive strategies as for cognition of relation, truth-falth judgment, coding, and transformation of codes, so on.
(b) Assuming that addition and subtraction are performed basically by counting, the research estimated counting modes used as strategy. For estimating those statistically we built "Multiple Regression Analysis Model" as a new method. Efficiency of the model was examined experimentally, and it was confirmed that the model can detect plural modes used together by the same subject. That has apparently not been published to date.
(c) All sorts of processing units required to arithmetic operation were extracted (90 items in all), and we classified the arithmetic tasks on the basis of constitution of unit, then compiled them to "Database of Arithmetic Thought". The research extended to seeking reliance of arithmetic algorithms on thought development through analyzing textbooks for primary school and those for training school. On grounds of the result we arrived at editting test of arithmetic thought development for school children.

Report

(1 results)
  • 1984 Final Research Report Summary
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 柳原 正文: "時間過程分析による加算思考とその発達の診断" 岡山大学教育学部研究集録. 第59号. 145-152 (1982)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 迫 明仁: "数の関係検証ストラテジーの検出" 岡山大学教育学部研究集録. 第59号. 153-161 (1982)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 迫 明仁: "文検証ストラテジーの個人差の検討" 岡山大学教育学部研究集録. 第63号. 63-72 (1983)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 伊澤 秀而: "時間分析による加算思考過程の検出" 日本科学教育学会第8回年会論文集. 204-205 (1984)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 伊澤 秀而: "演算推進モデル検出のための重回帰解析法" 日本科学教育学会第9回年会論文集. 110-111 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 伊澤 秀而: "発達診断のための四則演算思考の知識データベース" 日本教育工学会第5回大会論文集. 377-378 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 伊澤 秀而: "演算思考診断のための知識データベースを応用した養護学校教科書の演算課題の分析(1)アルゴリズムから見た演算課題の類型とその配置計画" 日本特殊教育学会第30回大会論文集. 218-219 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] 伊澤 秀而: "演算思考診断のための知識データベースを応用した養護学校教科書の演算課題の分析(2)加減算課題の難易度の推定" 日本特殊教育学会第30回大会論文集. 220-221 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Masafumi Ynagihara: "A chronometric analysis of addition processing and its development" Bulletin of School of Education, Okayama University. No.59. 145-152 (1982)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Akihito Sako: "Assessment of processing strategies in verifying number relations" Bulletin of School of Education, Okayama University. No.59. 153-161 (1982)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Akihito Sako: "An analysis of individual differences in sentence-verification strategy" Bulletin of School of Education, Okayama University. No.63. 63-72 (1983)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Shuji izawa: "A chronometric analysis of the cognitive process for simple addition" Proceedings of the 8th Annual Meeting of Japanese Society of Science Education. 204-205 (1984)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Shuji Izawa: "Application of the multiple regression analysis to detecting the models of additive and subtractive operations" Proceedings of the 9th Annual Meeting of Japanese Society of Science Education. 110-111 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Haruhisa Nakada: "A database of computational tasks for assessing learner's cognitive process" Proceedings of the 5th Annual Meeting of Japanese Society of Educational Technology. 377-378 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary
  • [Publications] Shuji Izawa: "Analysis of tasks on arithmetic operation disposed in the textbooks for traing school mathematics by the use of a database for arithmetic thought assessment" Proceedings of the 30th Annual Meeting of Japanese Association of Special Education. 218-221 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1984 Final Research Report Summary

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

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