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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 15, Issue 3 - Dec 2002
Volume 15, Issue 2 - Sep 2002
Volume 15, Issue 1 - Jun 2002
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사영기하학의 성립과 그 기초 - 카를 크리스티안 폰 슈타우트(Karl Christian von Staudt, 1798-1867)의 이론을 중심으로
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 1~14
This paper treats the history of the fundament of projective geometry Especially we introduce the essence of the framework of Karl Chirstian von Staudt's ‘Geometrie der Lage’. Von Staudt used axiomatical method to bum the system of the projective geometry, and proved the fundamental theorem of projective geometry. And he handled imaginary elements (or the first time in synthetic projective geometry.
창의력 신장을 위한 변증법적 방법의 수학학습지도에 관한 연구
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 15~42
Dialectical Methods is the form in which thinking and being developed, according to Hegel. Every given definition removes itself necessarily and goes over to its contrary definition. The mutual struggle brings us to a new definition, which is richer and more concrete insofar as it embraces the original definition, but on a higher level. The purpose of this study is to enhancing student's creative thinking in mathematics by dialectical methods. The conclusions drawn from the results obtained in this study are as follows, First the introduction of dialectical methods to mathematics education had been made by Lakatos, Brousseau, Freudenthal. Second, the dialectical teaching methods in mathematics are developed from dialectical methods: the step of affirmation - the step of negation - the step of sublation. Third, the students who team mathematics by dialectical teaching methods are creative in its implications.
구고호은문에 대한 고찰
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 43~56
Hong, Jung-Ha(1684-\ulcorner ) explained 78 problems which look for the length of right triangle satisfying the given conditions by the Pythagorean theorem or the ratio of similarity in the chapter ‘Goo-Go-Hoh-Eun-Moon’of the 5th volume of his book Goo-Ill-Jeep. Most questions are formulated by equations of degree 2, 3, 4 which mostly have rational number solutions and part of the equations are expressed by counting stick. The explanation of each question describes the procedure to make the equation in detail, but only presents the solution with a few steps to solve.
조선조대의 수학문제 취급의 허실 (1)
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 57~68
Mathematical problems are classified into two families, i.e. the solvable ones and the others. There are some such problems in the documentary records of tile Chosun Dynasty ages. In those days, a ‘normal right triangle’ whose ratio of the three sides in the triangle is 3 : 4 : 5 was defined and had been used tacitly. This paper intends to introduce the problems having errors.
원뿔곡선 이론의 발달
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 69~82
The purpose of this study is to explore historical development of conic sections and analyze formal aspects, application aspects and intuitive aspects in conic sections. We suggest implication for learning-teaching conic sections.
세괴와 세괴 재생핵에 대한 역사적 고찰
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 83~92
Gator Szego was one of the most brilliant Mathematicians. Mathematical science owes him several fundamental contributions in such fields as theory of functions of a complex variables, conformal mapping, Fourier series, theory of orthogonal polynomials, and many others. He wrote the famous Polya-Szego Problems and Theorem in Analysis which is the two volume of concentrated mathematical beauty. In this paper, we mention Szego's life, Szego's work, and Szego reproducing kernel.
수학적 개념의 명료성에 대한 일고 I
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 93~98
In this paper, we critically survey the mathematical Platonism in respect to its abstract, ahistorical, asocial and acultural character. The uncertainty of man's concepts is investigated with special attention to evolutionary theory, philosophical and epistemological developments regarding the cognitive unconsciousness and the embodied mind. We research into the implication of the Darwin machine theory for human consciousness and Wittegenstein's philosophy of mathematics.
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 99~108
Historically, architecture was part of mathematics and architects were mathematicians. In this paper, we attempted to analyze the architecture from the mathematical point of view and conclude that pursuit of beauty and balance lead to the mathematically rigorous shape. For example, the golden ratio in the Great Pyramid and Parthenon prevail in the modem arts and architecture. We also conclude that mathematics is not invention but discovery at least in the area of architecture.
역사발생적 원리의 비판적 수용에 대하여
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 109~114
By showing that several evidences from the history of mathematics do not follows the naturalness emerging in human being, the teaming principles of history of mathematics oriented teaming should be replaced both theoretically and practically by the principle of teaming from constructivism.
유클리드 기하에서 테크놀로지 활용을 바탕으로 설명적 증명의 의미와 그에 따른 학습자료 계발
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 115~134
The increasing use of computers in mathematics and in mathematics education is strongly reflected in the teaching on Euclid geometry, in particular in the use of dynamic graphics software. This development has raised questions about the role of analytic proof in school geometry. One can sometimes find a proof which is rather more explanatory than the one commonly used. Because we, math educators are concerned with tile explanatory power of the proofs, as opposed to mere verification, we should devise ways to use dynamic software in the use of explanatory proofs.
기초통계교육에서 조건부확률의 이해
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 135~146
In this paper, we demonstrate that one can teach conditional probability in a manner consistent with many features of the statistics education reform movement. Presenting a variety of applications of conditional probability to realistic problems, we propose that interactive activities and the use of technology make conditional probability understandable, interactive, and interesting for students at a wide range of levels of mathematical ability. Along with specific examples, we provide guidelines for implementation of the activities in the classroom and instructional cues for promoting curiosity and discussion among students.
초평면 배열 이론과 4색 문제
Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 147~168
In this paper, we introduce the arrangement of hyperplanes and the graph theory. In particular, we explain how to study the 4-color problem by using characteristic polynomials of the arrangement of hyperplanes. The 4-color problem was appeared in 1852 at first and Appel and Haken proved it by using computer in 1976. The arrangement of hyperplanes induced from a graph is called a graphic arrangement. Graphic arrangement is a subarrangement of Braid arrangement. Thus the chromatic function of a graph is equal to the characteristic polynomial of a graphic arrangement. If we use this result, we can apply the theory of the arrangement of hyperplanes to the study for the chromatic functions.