• 대한수학회지
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• 제33권1호
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• pp.121-136
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• 1996

Met $\tilde{M} = (\tilde{M}, \tilde{J}, <>)$ be an almost Hermitian manifold and M a submanifold of $\tilde{M}$. According to the behavior of the tangent bundle TM with respect to the action of $\tilde{J}$, we have two typical classes of submanifolds. One of them is the class of almost complex submanifolds and another is the class of totally real submanifolds. In 1990, B. Y. Chen [4], [5] introduced the concept of the class of slant submanifolds which involve the above two classes. He used the Wirtinger angle to measure the behavior of TM with respect to the action of $\tilde{J}$.

• 한국경영과학회지
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• 제18권2호
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• pp.147-156
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• 1993

Recently a new concept of shadow prices, called average shadow price, has been developed. This paper provides a dual problem and the corresponding duality theorems justifying this new shadow price. The general duality framework is used. As an important secondary result, a new reduced class of price function, the pp. h.-class, has been developed for the general duality theory. This should be distinguished from other known reductions achieved in some specific areas of mathematical programming, in that it sustains the strong duality property in all the mathematical programs. The new general dual problem suggested with this pp. h.-class provides, as an optimal solution, the average shadow prices.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제1권1호
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• pp.75-85
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• 1997

One of the main objectives of school mathematics education is to develop a student' intuition and logical thinking [11]. But two -valued logical thinking, in fact, is not sufficient to express the concepts of a student's mind since intuition is fuzzy. Hence fuzzy -valued logical thinking may be a more natural way to develop a student's mathematical thinking.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권1호
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• pp.87-96
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• 2004

For finding the optimal strategy in Blackout game which was introduced in the homepage of popular mono "Beautiful mind", we develope a mathematical proof and an algorithm with a software. We only use the concept of basis and knowledge of basic linear algebra. This process can be extended to the fullsize Go table problem and shows why we have to study mathematics at the college level.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제23권4호
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• pp.1015-1022
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• 2009

본 논문에서는 대학교육의 현장에서 수학 전공 과목을 이수하는 학생들에게 수학을 지도함에 있어서 몇 가지 기본적인 문제 해결의 기법을 제시하고 수학에 흥미를 갖도록 하는 방법을 기술하고자 한다.

• 대한수학회논문집
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• 제25권3호
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• pp.491-495
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• 2010

In a paper by Hou Jicheng, On some KKM type theorems, Advaces in Mathematics 36 (2007), no. 1, 86-88, the author claimed that some previous KKM type theorems are false by giving a counterexample. In the present paper, we show that the counterexample does not work and, consequently, the results are correct. Moreover, we claim that the artificial concept like transfer compactly closed-valued maps can be destroyed. Finally, we introduce a theorem generalizing the main target of Hou.

• 대한수학회보
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• 제59권5호
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• pp.1279-1287
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• 2022

A partition of n is complete if every positive integer from 1 to n can be represented by the sum of its parts. The concept of complete partitions has been extended in several ways. In this paper, we consider the number of k-relaxed r-complete partitions of n and the number of double-complete partitions of n.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권2호
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• pp.81-93
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• 2004

This study investigated three preservice teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of preservice teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

• 한국수학사학회지
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• 제23권4호
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• pp.17-30
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• 2010

본 논문의 목적은 '혁명' 이라는 개념을 검토함으로써 '수학혁명'의 유형을 분류하고, 수학혁명을 위한 조건들을 제시하려는데 있다. 또한 수학혁명의 유형과 수학혁명을 판정하는 기준이 어떻게 연관되는지를 탐구하여 수학의 역사에 나타난 수학지식의 변화 중 몇 가지 사례들이 어떤 종류의 혁명이었는지를 알아본다.

• 한국수학교육학회지시리즈A:수학교육
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• 제46권3호
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• pp.293-302
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• 2007

In this paper, we review definition and concept of mathematical creativity. A couple of criteria have established for perspectives in mathematical creativity, The first is specific domain(mathematics) vs general domain(creativity) and the second is process(thinking process) vs outcome(divergent production). By these criteria, four perspectives have constructed : mathematics-thinking process approach(McTd), mathematics-divergent production approach(MctD), creativity-thinking process approach(mCTd), creativity-divergent production approach(mCtD). When mathematical creativity is researched by the specific reason and particular focus, an appropriate approach can be chosen in four perspectives.