• Title/Summary/Keyword: 수학사

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The Effects of a Mathematics History Lecture by a Mathematician on Elementary Mathematics Education (초등학생을 대상으로 한 '수학자 수학사 특강'의 학습효과)

  • Cha, In-Sook;Han, Jeong-Soon
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.133-150
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    • 2006
  • This study is to investigate the effects of a mathematics history lecture on elementary students' math learning. Pre- and post-tests were done for 33 6th grade students before and after 3-units of mathematics history lecture by a mathematician. The results show that the lecture improved students' interests and confidence on math. Especially, the tests present a positive change in students' attitudes on math and results in an increased curiosity on and willingness to study math. This study shows a consistent result with previous studies of teaming effects of introducing mathematics history in math. This study also highlights that even 3-units of math history lecture can significantly improve students' attitude and belief on math learning. Given the positive effects of math history lecture on students' math loaming, it is implicated that math history be included in the formal elementary math curriculum and more participation of math history experts in math.learning processes is needed.

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An Analysis of Application of Mathematical History into Elementary Mathematics Education (초등수학 교육과정에서 수학사 관련 내용 분석 및 그 적용)

  • Kim Min Kyeong
    • Journal for History of Mathematics
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    • v.18 no.2
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    • pp.43-54
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    • 2005
  • The aims of the study were to analyze the contents of elementary mathematics curriculum in order to help students to have ideas about the history of mathematics and to apply the ideas to develop their knowledge of mathematicians or mathematical history into the lesson ideas for preservice elementary teachers and elementary students. As a result, many ideas of mathematical connection into the history of mathematics are reviewed, and posters about Pythagoras and Pascal are designed to help students to reinvent the idea of triangular numbers and square numbers.

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A Didactical Analysis on History of Mathematics in Simultaneous Equations Section of Mathematics Textbooks (교과서 연립방정식 단원에 제시된 수학사의 소재 분석 및 교수학적 분석)

  • Shim, Sang-Kil
    • School Mathematics
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    • v.11 no.3
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    • pp.415-429
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    • 2009
  • In this study, in order to use history of mathematics in mathematical learning effectively, we investigate application of history of mathematics shown textbooks in simultaneous equations. History of Mathematics can be used in order to enhance comprehension and increase interest in an introduction to the simultaneous equations. It also can be used to help motivate middle school students to solve the simultaneous equations with much interest during the development phase, and develope open thinking and reflective thinking in the enrichment learning.

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수학 문제해결에서 아르키메데스의 공학적 방법에 관한 연구

  • Han, In-Gi
    • Communications of Mathematical Education
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    • v.17
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    • pp.115-126
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    • 2003
  • 수학사는 수학적 사실이나 수학자에 대한 연대기적 나열만을 의미하는 것은 아니다. 수학사에서는 수학적 개념들, 정리들, 연구 방법의 발생, 축적, 그리고 발전에 대한 폭넓은 견해를 접할 수 있다. 특히, 수학사에서 접할 수 있는 수학 문제해결의 다양한 방법은 수학 교수-학습 과정에서 교사의 올바른 교수학적 선택을 위한 중요한 기초 자료가 될 수 있다. 본 연구에서는 그리스의 수학자 아르키메데스가 구의 부피를 구하기 위해 사용했던 공학적 문제해결 방법을 살펴보고, 공학적 방법의 활용에 관련된 수학적 기초를 살펴보고, 공학적 문제해결 방법을 중등학교 수학 영재교육에 활용할 수 있는 가능성을 모색할 것이다.

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The Histories of the Mathematical Concepts of Infinity and Limit in a Three-fold Role (세 가지 역할과 관련된 무한과 극한의 수학사)

  • Kim, Dong-Joong
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.293-303
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    • 2010
  • The purpose of this study is to classify a three-fold role of the history of mathematics through epistemological analysis. Based on the history of infinity and limit, the "potential infinity" and "actual infinity" discourses are described using four different historical epistemologies. The interdependence between the mathematical concepts is also addressed. By using these analyses, three different uses of the history of mathematical concepts, infinity and limit, are discussed: past, present, and future use.

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