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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
Editor in Chief :
Volume & Issues
Volume 16, Issue 4 - Dec 2003
Volume 16, Issue 3 - Sep 2003
Volume 16, Issue 2 - Jun 2003
Volume 16, Issue 1 - Mar 2003
Selecting the target year
조선조대의 수학문제 취급의 허실 (2)
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 1~10
The mathematicians in the chosun dynasty ages had widely manipulated the beautiful mathematical problems by using the Pythagorean Theorem. This paper is intended to introduce some problems using the approximate values of ratios.
구장산술에 포함된 증명의 유형과 역할
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 11~22
In this paper, we investigate the types and roles of ancient mathematical proof by exploring Gu-Jang-Sal-Sul. Gu-Jang-Sal-Sul is a ancient Chinese mathematics book. Types of proof contained in Gu-Jang-Sal-Sul are enactive proof and intuitive proof and the role of proof is explanation. And we suggest social background of proof in Gu-Jang-Sal-Sul topographically, culturally, and logically.
유클리드 기하학과 그리스의 미술
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 23~34
In this paper, we consider relationship between the mathematics and the fine arts. The former is one of the advanced sciences, the latter is one of the arts. But there is correlation between the mathematics and the arts. Here, we concern with the ancient greek mathematics, Euclidean geometry and the ancient greek arts. The ancient greek arts is classified with Geometric Style, Archaic Style, Classical Style and Hellenistic Style. The Geometric Style, Classical Style and Hellenistic Style are very effected by Euclidean geometry. Because the greek artists as keep the geometric proportion as the Euclidean's 5th postulates. The artist's cannon in just golden ratio 1:(1＋
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 35~42
It is well known that a lot of mathematical theories of many famous mathematicians had scholarly effects on Isaac Newton. Nonetheless, his private internal view or attitude to natural philosophy is not so much known. In this paper we will approach him via his famous book Principia an physics and mathematics, considering the influences acted on him by mathematicians in the history of mathematics.
헤론 공식에 대한 교수학적 분석 및 확장
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 43~54
In this article we study various proofs of Heron's formula, extract some didactical ideas from these proofs, and didactically enlarge Heron's formula. In this paper we in detail introduce five different proofs from various articles and textbooks, and suggest our proof of Heron's formula. Enlarging this proof we are able to prove Brahmagupta's formula and generalized convex quadrangle's area formula.
역사-발생적 접근을 통한 논증 기하 학습의 직관적 수준에 대한 고찰
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 55~70
This study investigated tile intuitive level of justification in geometry, as the former step to the aximatization, with concrete examples. First, we analyze limitations that the axiomatic method has in tile context of discovery and the educational situation. This limitations can be supplemented by the proper use of the intuitive method. Then, using the histo-genetic analysis, this study shows the process of the development of geometrical thought consists of experimental, intuitive, and axiomatic steps. The intuitive method of proof which is free from the rigorous axiom has an advantage that can include the context of discovery. Finally, this paper presents the issue of intuitive proving that the three angles of an arbitrary triangle amount to 180
, as an example of the local systematization.
중학교 3학년 수학교육에서 수학사의 활용
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 71~86
Mathematics becomes more indispensible course today, while it seems approaching to the middle school students as a boring and hard one. So, we need to take more motivational teaching devices as well as mere emphases on its importance in order to keep the students up to tile curriculum and improve the education efficiency. Then, history of mathematics call lie one major source of the motivation, since, by telling the tales on the specific unit subject, teachers can awake the students'interest naturally. Today, most of the mathematics textbooks for the middle school students have some historical tales about each unit subject in their respective unit introduction. However, many tales don't seem quite helpful or motivating to understand unit subjects, for they are either abstract or fragmental. In that sense, this paper has three sample guidelines for teaching, which ate meant to introduce historical tales to motivate the students before teachers may get into tile main unit subject. Those suggested in this paper may work as the motivational teaching devices which would make the students mote interested, more positive, and consequently more successful in mathematics.
대학수학 교육에 대한 실증적 고찰 -통계분석을 중심으로-
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 87~102
In this paper, we diagnose tile necessity of taking, reason and degree of those problems about this course by statistical survey. Also we indicate tile desirable teaching method which improve tile quality of the course.
데모그라피의 역사적 배경과 한국인구의 지역적 편향분포의 지니 계수적 해석
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 103~116
Now we have faced to two fundamental population problems: The one is over-population problem in proportion to the nation's total area, 99,434
, and the other is unbalanced population distributions in the provincial districts of administration (16th local governments). For example, the population density of Seoul city is 16,335 persons, and the nations population density of South Korea is 464 persons for 1 km
. At the first part of this study, we introduced the origins and historical back grounds of Formal Demorgraphy. And the second part, we suggest some useful indicators of urbanization of rural populations in terms of Gini's Coefficients of Concentration. As the result, we can show that the ecological Gini's Coefficients of Concentration, during the periods covered by this study, have been increasing extraordinary: 0.349, 0.433, 0.532, 0.581, 0.633 and 0.626 in 1970, 1980, 1985, 1990, 1995, 2000 A.D. respectively. However, the trend of urbanization (concentration of population) of Korean population has been the relative equilibrium state of 0.63 from 1995 to 2000 A.D.
The Origin and Recent History for Fuzzy Equations
Park, Q-Heung ; Lee, Sunyoung ;
Journal for History of Mathematics, volume 16, issue 2, 2003, Pages 117~128
We investigate the origin and recent history for fuzzy equations. And we introduce the existence theorems of solutions for the fuzzy differential equation with infinite delays and fuzzy functional integral equations. We will also recent researches for controllability of sobolev-type semilinear integro-differential fuzzy system.