• Journal for History of Mathematics
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• v.18 no.2
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• pp.23-30
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• 2005

Intuition has played an important role in process of invention of mathematics and given understanding of mathematical truth and the direction of solution. So, I review about intuition in history of mathematical philosophy and mathematics because we need systematic research about intuition for search of the methods for enhancement of intuition in mathematics education. According to the research of scholars who emphasize intuitive education, intuition is common feature which everybody hold and is not special feature which particular person hold. In addition, intuition is universal ability that can enhance by proper instruction. So, we have to emphasize the importance of the development of intuition and education which emphasize creative thought via intuition.

• Communications of Mathematical Education
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• v.25 no.3
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• pp.557-575
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• 2011

The purpose of this paper is to analyze the way of teaching and learning logarithm in high school mathematics and provide practical suggestions for teaching logarithms. For such purpose, it reviewed John Napier's life and his ideas, the effect of logarithms on seventeenth century science, and a logarithmic scale and its methods of calculation. With this reviews, introduction of logarithms with function concept, logarithmic calculation with common logarithms, and the formula of converting to other logarithmic bases were reviewed for finding a new perspective of teaching and learning logarithms in high school mathematics. Through such historical and pedagogical reviews, this paper presented practical suggestions and comments about the way of teaching and learning logarithms in high school mathematics.

• 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.

• 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.

• Proceedings of the Korean Society for History of Mathematics Conference
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• 2005.11a
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• pp.8.1-8.1
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• 2005

• Journal for History of Mathematics
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• v.14 no.2
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• pp.61-68
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• 2001

Rationality in mathematics is discussed by analyzing historical facts concerning infinitesimality. Several views containing Platonism, formalism and falsificationism are suggested to analyze rationality.

• 프린팅코리아
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• s.51
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• pp.116-119
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• 2006

최근 서점가에는 수학 관련 도서들이 눈에 많이 띈다. 수학의 역사에서 생활 속의 수학까지 그 분야도 다양하다. 그리고 그 인기도 상당히 높다. 수학이 현시대에 인기를 얻는 이유는 무엇일까. 30여 년 동안 수학, 공업 전문서적을 출판해 온 경문사는 수학이 순수하기 때문이라고 말한다. 그렇기 때문에 세상의 모든 것을 볼 수 있고, 또 보이지 않는 것을 보게 해 준다고. 수학이 가진 아름다움을 찾아 여행하고 있는 그들을 만났다.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.363-376
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• 2008

This study is to understand intuition that is the tool of invention and the one factor of the creative thinking in mathematical education. For this, I examine the nature of intuition and the history of research about intuition. And I study the result of research about intuition in cognitive psychological perspectives. This study brings to a focus in informational processing model. Informational processing model is similar to the mathematical problem solving process that is expressed linear process. Recently, parallel distributed processing models try to understand the nature of intuition. But any models cannot adequately explain the nature and the phenomena of illumination of intuition. Some scholars try to examine the intuition in mathematical education. But systematic and practical research is rare. So, I suggest the mathematical educational implications about intuition. Conclusively, it is necessary to systematic concern in intuition and the methods of improvement of intuition in mathematical education.

• Journal for History of Mathematics
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• v.11 no.2
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• pp.43-54
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• 1998

In this paper we analyze the variety of outlook on the mathematical education as in the history of modern mathematical education and suggest the direction of outlook on the mathematical education in the future.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.351-364
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• 2003

by A.C. Clairaut is the first geometry textbook based on the historico-genetic principle against the logico-deduction method of Euclid's This paper aims to recognize Clairaut's historico-genetic principle by inquiring into this book and to search for its applications to school mathematics. For this purpose, we induce the following five characteristics that result from his principle and give some suggestions for school geometry in relation to these characteristics respectively : 1. The appearance of geometry is due to the necessity. 2. He approaches to the geometry through solving real-world problems.- the application of mathematics 3. He adopts natural methods for beginners.-the harmony of intuition and logic 4. He makes beginners to grasp the principles. 5. The activity principle is embodied. In addition, we analyze the two useful propositions that may prove these characteristics properly.