• 한국수학사학회지
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• 제33권1호
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• pp.21-32
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• 2020

Daniel Coit Gilman, the first president of Johns Hopkins University, aspired to build an ideal university focused on the competent faculty and their research. His plan was carried out through opening the first American graduate program, hiring professors with the highest-level research performances, assigning them less teaching burdens, and encouraging them to actively publish professional journals. He introduced Department of Mathematics as an initial model to put his plan into practice, and James Joseph Sylvester, a British mathematician invited as the first mathematics professor to Johns Hopkins University, made it possible in a short time. Their concerted efforts led to building the Department of Mathematics as a professional research institute for research, higher education, and expert training as well as to publishing American Journal of Mathematics.

• Kyungpook Mathematical Journal
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• 제21권1호
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• pp.9-14
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• 1981

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.499-510
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• 2012

Here we consider the inertial effect in a horizontal mushy layer during solidification of a binary alloy. Using perturbation technique, we obtain two systems, one of zero order and the other of first order. We consider a mushy layer with an impermeable mush-liquid interface and of constant permeability. The analysis reveals that the effect of inertial parameter is stabilizing in the sense that the critical Rayleigh number at the onset of motion increases by the inertial effect.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권2호
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• pp.151-165
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• 2008

Asian mathematics curricula and textbooks are being recognized in the United States as at least partial explanation for the higher mathematics achievement of students in Asian countries compared to students in the United States. As a result there is considerable interest among many educators in the United States in curricula from Singapore and curricula from Japan. In addition, researchers and educators at one university in the American heartland have been using the English translations of a Korean primary mathematics curriculum for professional development and assessment with groups of Missouri teachers for the purpose of enhancing teachers' understanding of the fundamentals of mathematics, and in hopes of raising student achievement scores. A professional development initiative begun seven years ago and revived this year will entail a rigorous assessment which will be reported in 2009. Results of assessment of the earlier initiatives are reported here.

• 한국수학사학회지
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• 제21권1호
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• pp.79-96
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• 2008

1890년에 설립된 시카고대의 초대 수학과장으로 미국수학사에서 결정적 역할을 담당했던 E. H. Moore는 걸출한 인재들을 길러내며 20세기 전반에 미국수학이 수학연구의 주류로 진입하는데 결정적 기여를 하였다. 그는 시카고대에서 실험적 교수법을 시도하였고, 그 결과, 연구력이 뛰어난 수많은 제자를 배출하였다. R. L. Moore는 E. H. Moore의 실험적 교수법과는 차별화된, 지금은 Texas 교수법 또는 Moore 교수법으로 알려져 있는 새로운 방식의 수학교수법을 대학수학교육에 적용하였다. 그는 20세기 전반, 미국수학이 빠르게 발전하는 과정에서 결정적인 역할을 담당했던 Veblen이나 Birkhoff와는 차별화된 중요한 역할을 수행하였다. 따라서 미국수학의 발전에 특별한 역할을 수행했던 R. L. Moore의 연구 경력과 Moore 교수법 및 R. L. Moore가 배출한 제자들의 역할에 대한 의미 있는 분석을 필요로 한다. 본 원고는 텍사스대에서 학문적 일생을 보낸 R. L. Moore와 그의 Moore 교수법, 또 그의 영향으로 탄생한 'American school of topology'가 미국수학사에서 갖는 의미를 분석하고, 20세기 전반 미국 수학의 학문적 도약과정이 현재의 한국수학계에 시사하는 바를 고찰한다.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.165-182
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• 2003

Sufficient conditions for oscillation of all solutions of a class of second-order quasilinear delay differential equations with fixed moments of impulse effect are found.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1269-1283
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• 2011

Here we consider magneto-convection in a mushy layer which is formed during solidification of binary alloys. The mushy layer is treated as an active porous media with variable permeability. The equations governing the layer are conservation of mass, conservation of heat, conservation of solute, magnetic induction equation, momentum equation governed by the Darcy's law and Maxwell's equations for the magnetic field. To study the second order effects on the flow without solving the second order system, we need to obtain the adjoint system for the flow. This motivates the authors we derive the adjoint system analytically for the mushy layer case. Numerical results of the adjoint system are presented for passive and active mushy layers at the onset of the motion using a set of parameters experimentalists use.

• 대한수학교육학회지:수학교육학연구
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• 제13권1호
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• pp.1-12
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• 2003

이 논문은 수학적 개념의 뜻과 과 중요성을 살펴본 다음, 연구자가 소속되어 있는 한국의 대학생과 연구자가 연구년 동안 강의한 바 있는 미국의 대학생이 갖고 있는 수학적 개념의 수준에 대하여 조사하여 보고, 그 차이점을 비교하여 수학교육의 개선을 위한 시사점을 찾아보고자 하였다. 본 연구는 수학적 개념을 수학적 지식의 구성, 수학적 지식의 구조, 수학적 지식의 현상, 수학을 행하기, 수학적 아이디어의 가치 인식, 구성으로서의 학습, 유용한 노력으로서의 수학으로 분류하고 각 개념에 대한 양국 학생들의 인식 정도를 설문조사 방식으로 조사하였다. 본 연구에서 한국 학생들은 수학적 개념에 대한 7개의 영역 중에서 '수학적 지시의 현상', '수학을 행하기'를 제외한 5개의 영역에서 더 높은 수준을 보였다. 앞으로 한국의 수학교육은 수학을 실제로 행하는 활동을 더욱 강조하여야 할 것이다.

• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.121-132
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• 1999

We have compared Korean and American mathematics curriculums in 5 areas: whole number(concepts and its operations); geometry; pattern and relations; measurements; statistics and probability. We have found significant differences in geometry area. Korean curriculums contain simple planar figures (circles, triangles, rectangles, and squres) and some of the spatial figures until 3rd grades. But in America they learn various planar and spatial fugures(cone, pyramid, triangular prism, etc) since the 1st grade starts. They also start the 1st grade by dealing with topological concepts like open/closed, inside/outside, order, etc. As the grade goes on, students learn other geometrical concepts like congruence, symmetry, 3-dimensional views. We also found that American curriculum focuses on students' activities and courages communication through projects, groupwork, journal writing, etc. It's also superior in respects of motivation, and connections with real life and other subjects. Korean curriculum needs more improvements in these aspects. Furthermore for lower graders reviewing sections need to be enhanced for feedback.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.519-536
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• 2005

The purpose of this paper is to propose several approximating methods to obtain the American option prices under jump-diffusion processes. The first method is to extend an approximating method to the optimal exercise boundary by a multipiece exponential function suggested by Ju [17]. The second approach is to modify the analytical methods of MacMillan [20] and Zhang [25] in a discrete time space. The third approach is to apply the simulation technique of Ibanez and Zapareto [14] to the problem of American option pricing when the jumps are allowed. Finally, we compare the numerical performance of each suggesting method with those of the previous numerical approaches.