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Basic Research on an Education Program and a Teaching Method of Informal Mathematics in Early Childhood Education

Research Project

Project/Area Number 14580274
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教科教育
Research InstitutionJoetsu University of Education

Principal Investigator

MARUYAMA Ryohei  Joetsu University of Education, Dep.of School Education, Associate Professor, 学校教育学部, 助教授 (70229631)

Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2003: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2002: ¥500,000 (Direct Cost: ¥500,000)
KeywordsNumber Concept / Informal Mathematics / Arithmetic Education / Cognitive Development / Early Chilhood Education / Number Conservation / Character Profiles / Development Profiles / 数の保存 / 計数 / 多少等判断
Research Abstract

The purpose of this study is to investigate longitudinal features of children's informal mathematical knowledge and their acquisition conditions in order to construct an education program and a teaching method of informal mathematics in early childhood education. Participants are eighty-five children who entered a kindergarten in April, 1999 and finished in March, 2002. We examined their numerical abilities using original tasks their character profiles, and development profiles using standardized diagnosis inspections. The data obtained from these tasks were collected twice, and these inspections were carried out once every school year for three years. Additionally, we evaluted children's home environments once in 2002. The main results obtained from this research were as follows.
Numerical original tasks were composed of counting sets and judging the numerosity of two sets, dividing a set into two halves, Piagetian tasks of number conservation, calculation of numbers, etc. The children … More completed these tasks almost completely except number conservation and calculation of numbers. They had acquired calculation of numbers through early chilhood and achieved addition tasks with the highest correct answer rate at about 70 percent at the last. We ascertained the children's internal situations that character profiles and development profiles showed and confirmed whether they had elder brothers or elder sisters and what kind of lessons they were doing in a class of five-years-olds. We cross-analyzed these features and their numerical abilities. Character profiles and development profiles that related to acquisition of numerical ability changed acceding to the age period. These were stability of emotion at the first stage, and then independence, and self-control which constrains feelings with reason at latter stage. Particularly, the development of speech and language was a little strongly related to acquisition of numerical ability in a class of five-year-olds. Having elder brothers or sisters was not related to acquisition of numerical ability at all in a class of three-year-olds, but were slightly related in a class of four and five-year-olds.
Based on these facts, We elcidated notes to construct an education program and a teaching method of informal mathematics in group education such as kindergartens. Less

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が習得する数唱と数詞系列の実態"上越教育大学研究紀要. 22・1. 119-132 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 丸山良平: "幼児が集合を二等分する分配方略と同数判断の方略の実態"上越教育大学研究紀要. 22・2. 419-431 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が構成する数の保存概念の実態"上越教育大学研究紀要. 23・1. 11-22 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が獲得する数唱技能の実態"上越教育大学研究紀要. 23・2. 379-392 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ryohei Maruyama: "Children's Acquisition of Counting and the Number Word Sequence over Three Years at a Kindergarten"Bulletin of Joetsu University of Education. 22-1. 119-132 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ryohei Maruyama: "Children's Strategies of Dividing a Set into Two Halves and Judging Cardinal Equivalence"Bulletin of Joetsu University of Education. 22-2. 419-431 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ryohei Maruyama: "Children's Constructing Concepts of Number-conservation over Three Years at a Kindergarten"Bulletin of Joetsu University of Education. 23-1. 11-22 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Ryohei Maruyama: "Children's Constructing Skills of Counting a set over Three Years at a Kindergarten"Bulletin of Joetsu University of Education. 23-2. 379-392 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が習得する数唱と数詞系列の実態"上越教育大学研究紀要. 22・1. 119-132 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] 丸山良平: "幼児が集合を二等分する分配方略と同数判断の方略の実態"上越教育大学研究紀要. 22・2. 419-431 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が構成する数の保存概念の実態"上越教育大学研究紀要. 23・1. 11-22 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が獲得する数唱技能の実態"上越教育大学研究紀要. 23・2. 379-392 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 丸山良平: "幼稚園に就園する3年間で幼児が習得する数唱と数詞系列の実態"上越教育大学研究紀要. 22・1. 119-132 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 丸山良平: "幼児が集合を二等分する分配方略と同数判断の方略の実態"上越教育大学研究紀要. 22・2. 419-431 (2003)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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