• Title/Summary/Keyword: 수학사

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수학사의 방법론

  • Heo, Min
    • Journal for History of Mathematics
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    • v.10 no.2
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    • pp.30-47
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    • 1997
  • 수학사를 연구하고 편집하는 여러 가지 방법론(Historiography of Mathematics)을 소개한다. 수학사를 역사주의 관점에서 연구하는 문화적 수학사와 현대 수학을 중심으로 고려하는 수학적 수학사 및 사회학적 방법으로 접근하는 사회적 수학사를 고찰한다. 그리고 마지막으로 수학사에 대한 최근의 다양한 접근 방법을 소개한다.

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Analysis of Pre-Service Teachers' Perceptions on Utilizing History of Mathematics (수학사 활용에 대한 예비교사들의 인식 분석)

  • Shim, Sang-Kil
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.831-842
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    • 2010
  • In this study, in order to use history of mathematics effectively, we investigate the pre-service teachers' perceptions about utilizing history of mathematics. As a result, we must introduce history of mathematics will be able to apply concretely in class to the pre-service teachers. And We must provide the method which is various will be able to apply history of mathematics in class to the pre-service teachers enough. Also, We must provide the instance which relates in utilizing history of mathematics to pre-service teachers enough.

Using History of Mathematics for Prospective Mathematics Teachers (예비수학교사를 위한 수학사 활용 방안)

  • Jung, Hae-Nam
    • Journal for History of Mathematics
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    • v.25 no.3
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    • pp.141-157
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    • 2012
  • There is enthusiasm among many mathematics educators to seek to understand how history of mathematics can be employed to emphasize the usefulness of mathematics and to make it even more useful. We investigate theoretical backgrounds of using history of mathematics for secondary students and prospective mathematics teachers. On the basis of historico-genetic principle and mathematics teachers' professional knowledge, we go into curriculum of prospective mathematics teachers. This study focussed on developing pedagogical approach using history of mathematics for prospective mathematics teachers.

수학사를 활용한 수학 수업이 초등학생의 수학적 의사소통과 태도에 미치는 영향

  • Heo, Do-Ha;O, Yeong-Yeol
    • Proceedings of the Korea Society of Elementary Mathematics Education
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    • 2010.08a
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    • pp.63-88
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    • 2010
  • 본 연구는 초등학교 수학에 적용 가능한 수학사를 추출하고 이를 효과적으로 활용할 수 있는 수업 모형을 개발하여, 수학사를 활용하는 수업이 학생들의 수학적 의사소통과 수학적 태도에 어떠한 영향을 미치는지 알아보았다. 이를 위해 실험집단에는 수학사를 활용한 수업을, 비교집단에는 교과서를 활용한 강의식 수업을 실시하였으며, 연구 중에 수집된 자료는 양적 분석과 질적 분석 방법을 병행하여 분석하였다. 그 결과 첫째, 수학사를 활용한 수학수업은 학생들의 의사소통 참여도를 향상시키는 데에 도움을 주었으며, 둘째, 학생들이 수학적 논리를 가지고 자신의 의견을 상대방에게 정당화하게 하였다. 또한 셋째, 수학사를 활용한 수학 수업이 학생들의 수학적 태도를 긍정적으로 변화시키는 데에 효과가 있음을 알 수 있었다.

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The Influence of the History of Mathematics on the School Mathematics (수학사가 학교 수학에 미치는 영향)

  • Ko Ho Kyoung
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.87-100
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    • 2004
  • There is great enthusiasm among many mathematics educators to seek to understand how mathematical history can be employed to emphasize the usefulness of mathematics and to make it even more useful. This study focused on reviewing the history of mathematics to provide a 'source of insight.' In this study, the reasons for including the history of mathematics in the mathematics curriculum were divided into three domains: cognitive, affective, and sociocultural. Each domain included the followings: mathematical thinking and understanding; development of a positive attitude and increase motivation; and last, humanistic facets and sociocultural experience. At the same time, we need to develope a pedagogical approach that allows educators to use history properly. Furthermore, we must integrate the historical topics into regular curricula including the syllabus historically-informed grounds.

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The Influence of Mathematical History-Based Mathematics Teaching on Mathematical Communication and Attitudes of Elementary Students (의사소통 중심의 수학사 기반 수업이 초등학생의 수학적 의사소통과 태도에 미치는 영향)

  • Heo, Do-Ha;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.463-485
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    • 2011
  • This study was to investigate the effects of mathematical history-based mathematics teaching on mathematical communication and attitudes of elementary students, through selecting mathematical history content to apply to elementary mathematics and devising an instruction model to use effectively. For this purpose, while the experimental group received instruction using mathematical history and the comparative group lecture-based instruction using the common textbook, both quantitative and qualitative methods were employed to analyze gathered data. To conclusion, first, instructions using mathematical history were helpful for increasing the student's participation in communication, and secondly helped the students justify their opinions to others with mathematical logic.

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An Analysis of the Patterns of Using History in Textbook Developed under the 2015-Revised Curriculum (2015 개정 교육과정에 따른 <수학 II> 교과서에 나타난 수학사 활용 유형 분석)

  • Kim, Eun Suk;Cho, Wan Young
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.471-488
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    • 2019
  • This paper aims to examine how mathematical history is used in textbooks according to the 2015-Revised Curriculum. We analyze the distribution and characteristics of making use of the mathematical history in the nine textbooks, using the framework suggested by Jankvist (2009) on the whys and hows of using historical tasks. First, the tasks related to mathematical history in the textbooks are mostly used as an affective tool, while few tasks are used as a cognitive tool. Second, most of the historical tasks of the type of an affective tool are introducing the anecdotes of mathematicians or in the history of mathematics, and only one case is trying to show human nature of mathematics by illuminating the difficulties mathematicians were faced with. Third, all the mathematical history tasks used as affective tools and goals are illumination materials, while only two out of the ten tasks in the category of a cognitive tool are illumination materials, yet eight others are modular ones. Considering the importance and value of using mathematical history in the math education, this paper recommends that more modular materials on mathematical history tasks in the category of cognitive tools and goals should be developed and their deployment in the textbooks or courses should be promoted.

Prospective Elementary School Teachers' Perception on Using the History of Korean Mathematics (예비 초등교사의 한국수학사 활용에 대한 인식)

  • Choi, Eunah
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.491-511
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    • 2015
  • This study analyzed the perception of prospective elementary school teachers in relation to using the history of Korean mathematics. The results of this study showed that the pre-service teachers realized using the history of Korean mathematics more importantly than the history of mathematics. They thought that the contents of the history of Korean mathematics should be increased in mathematics education and pre-service teacher education. The participation experience in teacher education about the history of Korean mathematics had a positive effect on the perception of pre-service teachers. Finally, this paper asserted that teacher education is the key to the teacher perception on and using of the history of Korean mathematics.

A Study on the Historic-Genetic Principle of Mathematics Education(2) -History of Mathematics in the Teaching of Mathematics and Mathematics Teachers Education (역사 발생적 수학교육 원리에 대한 연구(2) -수학사의 교육적 이용과 수학교사 교육)

  • 우정호;민세영;정연준
    • School Mathematics
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    • v.5 no.4
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    • pp.555-572
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    • 2003
  • In this study we analyze critically the educational studies on the history of mathematics, and the results of the questionnaires to the mathematics teachers and mathematics teacher educators and interviews with them in order to highlight the problems which ought to be settled for more efficient using the history of mathematics in the mathematics classes. We ought to deepen the understanding of the meaning of mathematical concepts and its essential viewpoints through the historical development of mathematics, going beyond the interest and motivation of learning mathematics. In this respect there are insufficient sides in the results of the educational studies in the history of mathematics and in the recognition of the mathematics teachers about using history of mathematics. And the teachings of the history of mathematics in the mathematics teachers education courses are not sufficient in that they just survey the history of mathematics, and it is the very important task to develop the historic-genetic materials in the school mathematics and study the historic-genetic approach to the mathematics texts.

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Didactical Meaning of using History of mathematics in Teaching and Learning Mathematics (수학과 교수-학습에서 수학사 활용에 교육적 함의: 수월성 교육을 중심으로 한 미적분 지도의 예)

  • Han, Kyeong-Hye
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.31-62
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    • 2006
  • In this article, the theoretical basis of applying mathematical his tory in lessons is inquired in various educational aspects. It also covers the psychological genetic principle, mainly concerning the childish development and states that it has to be compatible with the historico-genetic principle, which is suggested mainly concerning the development of data. In addition, it evolves the arguments about the meaning of mathematical history in math lessons based on the mentioned aspects besides that in ordinary math lessons. Next, the link between the apply of mathematical history and education for gifted children is examined. Last, cases of mathematic history applied to mathematic education is suggested mainly concerning the understanding of differential concepts.

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