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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
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Volume & Issues
Volume 20, Issue 4 - Nov 2007
Volume 20, Issue 3 - Aug 2007
Volume 20, Issue 2 - May 2007
Volume 20, Issue 1 - Feb 2007
Selecting the target year
Nam Byung Gil and his Theory of Equations
Hong, Sung-Sa ; Hong, Young-Hee ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 1~18
In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early studies on Jiu zhang suan shu(九章算術) and Shu li jing yun(數理精蘊). Their studies gave rise to a momentum for a prominent development of Chosun mathematics in the century. In this paper, we investigate Nam Byung Gil's JipGoYunDan(輯古演段) and MuIHae(無異解) and then study his theory of equations. Through a collaboration with Lee, Sang Hyuk, he consolidated the eastern and western structure of theory of equations.
Euler: Reflections on his Life, Works, and Thoughts
Park, Chang-Kyun ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 19~32
This Paper aims to introduce Euler's life, works and thoughts, to show that it is his Christian worldview that enables his achievements. His life teaches us the lesson that examining philosophical base and historical background is crucial to understand mathematics or mathematicians, and that it is necessary to overcome given conditions and environments rather than expect better environments to reach meaningful achievements.
Two fundamental direction over historical research of mathematics and geometrical algebra
Han, Kyeong-Hye ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 33~46
In this Paper the change of trends over historical research of mathematics, that has been developed since 1970, is inquired. Most of all it deals with the controversy concerning so-called 'geometrical algebra'. It covers the contents of Euclid' work
II. And the relation of the controversy with the change of direction over historical research of mathematics is examined.
Ancient Greece Mathematics and Oriental Mathematics
Kim, Jong-Myung ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 47~58
In this paper, we shall try to give a comparative study of mathematics developments in ancient Greece and ancient Oriental mathematics. We have found that the Oriental Mathematics. is quantitative, computational and algorithmetic, but the ancient Greece is axiomatic and deductive mathematics in character. The two region mathematics should be unified to give impetus to further development of mathematics in future times.
On lecturing organization-order of the concept of vectors
Pak, Hong-Kyung ; Kim, Tae-Wan ; Nam, Young-Man ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 59~72
There are three kinds of order of instruction in mathematics, that is, historical order, theoretical organization and lecturing organization-order. Simply speaking, each lecturing organization-order is a combination of two preceding orders. The problem is how to combine between them. In a recent paper, we concretely considered this problem for the case of the concept of angle. The present paper analogously discuss with the concept of vectors. To begin with, we investigate theoretical organization and historical order of the concept of vectors as materials for the construction of its lecturing organization-order. It enables us to establish 4 stages in historical order of the concept of vectors proper to its theoretical organization. As a consequence, we suggest several criteria and forms for constructing its lecturing organization-order.
On symmetry of figures in elementary geometry
Han, Gil-Jun ; Shin, Bong-Sook ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 73~88
In this paper, we study the symmetry of figures in elementary geometry. First, we investigate the historical and mathematical background of symmetry of figures and we explore the suitable teaching and learning methods for symmetry in elementary geometry. Also we study the major problem of geometry education that occurring in elementary school.
A Study on the Multiplication of the Decimal Fractions
Byun, Hee-Hyun ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 89~108
Finding the lack of meaningful approaches in teaching multiplication of decimal fractions, this paper tries to show from the standpoints of Dewey, Vergnaud and Brousseau that the cognition of ratio and proportion is essential to the understanding of multiplication of decimal fractions. Based upon such posture, this paper compares the characteristics and approaches to multiplication of decimal fractions in Korean and Japanese textbooks. Finally, this paper suggests ways to develop the concept of multiplication of decimal fractions in Korean textbooks.
A Study on the Theorems Related with Congruence of Triangles in Lobachevskii's and Hadamard's Geometry Textbooks
Han, In-Ki ;
Journal for History of Mathematics, volume 20, issue 2, 2007, Pages 109~126
This paper is to study theorems related with congruence of triangles in Lobachevskii's and Hadamard's geometry textbooks, and to compare their proof methods. We find out that Lobachevskii's geometry textbook contains 5 theorems of triangles' congruence, but doesn't explain congruence of right triangles. In Hadamard's geometry textbook description system of the theorems of triangles' congruence is similar with our mathematics textbook. Hadamard's geometry textbook treat 3 theorems of triangles' congruence, and 2 theorems of right triangles' congruence. But in Hadamard's geometry textbook all theorems are proved.