密集形 蓄熱材의 流動摩擦特性에 관한 硏究

박선용,김종수 한국태양에너지학회 1981 한국태양에너지학회 논문집 Vol.1 No.2

아르키메데스가 《The Method》에서 원뿔의 무게중심을 구한 방식에 대한 하나의 가설

박선용,홍갑주,Park, Sun-Yong,Hong, Gap-Ju 한국수학사학회 2013 Journal for history of mathematics Vol.26 No.5

In ${\ll}$The Method${\gg}$, Archimedes presented the famous heuristic technique for calculating areas, volumes and centers of gravity of various plane and solid figures, utilizing the law of the lever. In that treatise, Archimedes used the fact that the center of gravity of a cone lies one-quarter of the way from the center of the base to the vertex, but the proof of this is not extant in his works. This study analyzes the propositions and their relations of ${\ll}$The Method${\gg}$ focusing on the procedural characteristics of the 'method' of Archimedes. According to the result of that analysis, this study discusses the likely approach which was taken for Archimedes to find out the center of gravity of a cone.

Barrow 정리의 수학사적 분석과 그에 따른 교육적 시사점에 대한 연구

박선용,Park, SunYong 한국수학사학회 2013 Journal for history of mathematics Vol.26 No.1

이 연구에서는 수학사에 대한 해석학적 관점에서 Barrow 정리의 특징에 대해 분석하고, 현대적인 역사발생적 원리에 기초해 수학적 재발명 활동을 이끄는 미적분학 교수-학습 계열에 대해 논의한다. Barrow 정리에 대한 수학사적 분석을 통해서는, 그 정리의 기하학적 특성을 드러내고, 그 정리를 다룬 Barrow의 의도에 대해 추측하고, Barrow가 겪은 인식론적 장애에 대해 고찰하였다. 그리고 이러한 분석을 바탕으로 하여, 학생들이 '적분'과 '미분의 역'이 같다는 것을 인식하도록 하기 위한 목적 지향적이고 의미 지향적 교수-학습을 제안하고 현재 학교수학 미적분학에서 보완해야 할 사항에 대해 지적하였다. This study is to analyse the characteristics of Barrow's theorem on the historical standpoint of hermeneutics and to discuss the teaching-learning sequence for guiding students to reinvent the calculus according to historico-genetic principle. By the historical analysis on the Barrow's theorem, we show the geometric feature of the theorem, conjecture the Barrow's intention in dealing with it, and consider the epistemological obstacles undergone by Barrow. On a basis of this result, we suggest a purposeful and meaning-oriented teaching-learning way for students to realize the sameness of the 'integration' and 'anti-differentiation', and point out the shortcomings and supplement point in current School Mathematic Calculus.

정부3.0 구현을 위한 계약이행능력심사 제도 개선방안

박선용,김두환 한국방위산업진흥회 2017 國防과 技術 Vol.- No.455

아르키메데스의 《The Method》의 해석기하학적 특성과 그 교육적 시사점에 대한 연구

박선용,Park, Sun-Yong 한국수학사학회 2014 Journal for history of mathematics Vol.27 No.4

This study takes a look at Polya's analysis on Archimedes' "The Method" from a math-historical perspective. We, based on the elaboration of Polya's analysis, investigate the analytic geometric characteristics of Archimedes' "The Method" and discuss the way of using the characteristics in education of school calculus. So this study brings up the educational need of approach of teaching the definite integral by clearly disclosing the transition from length, area, volume etc into the length as an area function under a curve. And this study suggests the approach of teaching both merit and deficiency of the indivisibles method, and the educational necessity of making students realizing that the strength of analytic geometry lies in overcoming deficiency of the indivisibles method by dealing with the relation of variation and rate of change by means of algebraic expression and graph.

사목자를 위한 알기 쉬운 혼인법

박선용 가톨릭대학교 사목연구소 2004 司牧硏究 Vol.12 No.-

평등 수렴의 역사에 대한 분석과 그 교육적 시사점에 대한 연구

박선용,Park, Sun-Yong 한국수학사학회 2017 Journal for history of mathematics Vol.30 No.1

This study analyses on the history of uniform convergence, and discusses its educational implications. First, this study inspects 'overflowing of the Euclidean methodology' which was suggested by Lakatos as a cause of tardy appearance of uniform convergence, and reinterprets that cause in the perspective of 'symbolization'. Second, this study looks into the emergence of uniform convergence of Seidel and Weierstrass in this viewpoint of symbolization. As a result, of analysis, we come to know that the definition of uniform convergence had been changed into the theory of 'domain and graph' from that of 'point and function value' by the location change of the quantifier. As these results, this study puts forward an educational suggestion from an angle of epistemological obstacle, concept definition and concept image.

극한과 무한집합의 상호작용과 그 교육적 시사점에 대한 역사적 연구

박선용,Park, Sun-Yong 한국수학사학회 2018 Journal for history of mathematics Vol.31 No.2

This study begins with the awareness of problem that the education of mathematics teachers has failed to link the limit and the infinite set conceptually. Thus, this study analyzes the historical and reciprocal development of the limit and the infinite set, and discusses how to improve the education of these concepts and their relation based on the outcome of this analysis. The results of the study confirm that the infinite set is the historical tool of linking the limit and the real numbers. Also, the result shows that the premise of 'the component of the straight line is a point.' had the fundamental role in the construction of the real numbers as an arithmetical continuum and that the moral certainty of this premise would be obtained through a thought experiment using an infinite set. Based on these findings, several proposals have been made regarding the teacher education of awakening someone to the fact that 'the theoretical foundation of the limit is the real numbers, and it is required to introduce an infinite set for dealing with the real numbers.' in this study. In particular, by presenting one method of constructing the real numbers as an arithmetical continuum based on a thought experiment about the component of the straight line, this study opens up the possibility of an education that could get the limit values psychologically connected to the infinite set in overcoming the epistemological obstacle related to the continuum concept.

수학적 귀납법의 역사에서 하강법의 역할 및 교수학적 논의

박선용,장혜원,Park, Sun-Yong,Chang, Hye-Won 한국수학사학회 2007 Journal for history of mathematics Vol.20 No.4

본 연구는 학교 수학에서 다루어지는 수학적 귀납법의 형식적 도입에 대한 문제 제기로부터 출발한다. 학생들이 수학적 귀납법의 의미와 구조를 충분히 인식하지 못한 채 단지 증명의 도구로서 도구적 이해 수준에서 형식적으로 다루어지는 수학교육 현실의 개선을 위하여, 수학적 귀납법의 역사적 발생 과정을 고대 그리스의 재귀적 무한을 통한 암묵적 사용으로부터 17세기 Pascal과 Format의 추상적 형식화의 단계에 이르기까지 고찰함으로써 그 과정에 포함된 다양한 사고 유형의 본질을 규명하고 특히 중요한 역할을 한 것으로 추정되는 하강법에 주목함으로써 교육적 논의를 통해 학교 수학에 시사점을 제공하고자 한다. This study begins from posing a problem, 'formal introduction of mathematical induction in school mathematics'. Most students may learn the mathematical induction at the level of instrumental understanding without meaningful understanding about its meaning and structure. To improve this didactical situation, we research on the historical progress of mathematical induction from implicit use in greek mathematics to formalization by Pascal and Fermat. And we identify various types of thinking included in the developmental process: recursion, regression, analytic thinking, synthetic thinking. In special, we focused on the role of regression in mathematical induction, and then from that role we induce the implications for teaching mathematical induction in school mathematics.

아르키메데스가《The Method》에서원뿔의 무게중심을 구한 방식에 대한 하나의 가설

박선용,홍갑주 한국수학사학회 2013 Journal for history of mathematics Vol.26 No.6

In《The Method》, Archimedes presented the famous heuristic technique for calculating areas, volumes and centers of gravity of various plane and solid figures,utilizing the law of the lever. In that treatise, Archimedes used the fact that the center of gravity of a cone lies one-quarter of the way from the center of the base to the vertex, but the proof of this is not extant in his works. This study analyzes the propositions and their relations of《The Method》focusing on the procedural characteristics of the ‘method’ of Archimedes. According to the result of that analysis,this study discusses the likely approach which was taken for Archimedes to find out the center of gravity of a cone. 《The Method》에서 아르키메데스는 여러 평면도형과 입체도형의 넓이, 부피, 무게중심을 지레의법칙을 활용하여 구하는, 유명한 발견술을 제시했다. 아르키메데스는 그 연구에서 원뿔의 무게중심이밑면의 중심으로부터 꼭짓점에 이르는 축 위의 1/4 지점에 있다는 사실을 이용하지만, 이에 대한 증명은그의 연구에서 현재 찾아볼 수 없다. 이 논문에서는 아르키메데스의「방법」의 절차적 특징에 초점을맞추어《The Method》의 명제와 그 사이의 관계에 대해 분석한다. 그리고 그러한 분석결과에 기초해,아르키메데스가 원뿔의 무게중심을 구했을 것으로 예측되는 방식에 대해 논의한다.