• Journal of Korean Society of Transportation
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• v.12 no.3
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• pp.29-47
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• 1994

Although subway system continues to be the backbone of transportation systems in a city like Seoul, there will still be areas across the city where subway services are not avaliable. Interest has steadily grown to fill this missing routes in overall urban transportation system. Light Rail Transit (L.R.T) system has been recently thought to be an appropriate mode of transportation by businessmen, professionals and transportation industry. In this regards, the purpose of this study is to explore whether L.R.T can be a feasible form of urban rail mode in the context of Seoul. First, the study develops the mathematical models to derive optimum route networks and stations. Integer Programming is employed to determine whether alternative routes are financially viable from the viewpoint of revenue maximization principles. Second, mathematical models developed are applied to Yoido area in order to examine the validity of model structures. The models constructed turns out be capable of handling alternative routes and stations. Application of models are successfully carried out to derive financially feasible set of routes and stations.

• The Mathematical Education
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• v.48 no.4
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• pp.387-398
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• 2009

In this paper, we investigated the influence of technology, which gave an impact on students through the process of teaching & learning for the proof of an additive law of sine function in the mathematics education for the gifted. We chose students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University, and analyzed their processes of a mathematical inference or conjecture, an algebraic description and a proof by visualization using technology. We found the following facts. That is, the visualization using technology is helpful to the gifted students in understanding principles and concepts of mathematics by intuition. Also, it is helpful to ones verifying various cases and generalizing principles. But, using technology can be a factor that disturbs learning of students who are clumsy with operating technology.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.249-266
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• 2013

The purpose of this research is to investigate the principles for the development of mathematics textbook based on storytelling through literature review, textbook development, and classroom implementation. Mathematics textbook based on storytelling has been developed to help students learn mathematics interesting and meaningful. The principle for the development principles include as the principle of context, process-oriented, communication, and diversity. The developed mathematics textbooks was implemented in high school mathematics classes in order to investigate the effectiveness of the textbooks. We analyzed the data collected by the survey and the interview to find that the mathematics textbook based on storytelling had positive effect on teaching and learning of mathematics. We discussed the implication for the future development and implementation of mathematics textbook based on storytelling.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.205-220
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• 2013

In this research, in order to investigate the principles for the development of mathematics textbook for decision-making based on storytelling, we conceptualized the educational meaning of decision-making and specified the principles and the methods for the textbook based on decision-making. We illustrated the principles and the methods by the cases from the model textbook for the conditional probability that we have developed. We discussed the implication for the future development and implementation of mathematics textbook for decision-making based on storytelling.

• Journal of Service Research and Studies
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• v.5 no.2
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• pp.71-81
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• 2015

The RSA public key encryption algorithm, a few, key generation, factoring, the Euler function, key setup, a joint expression law, the application process are serial indexes. The foundation of such algorithms are mathematical principles. The first concept from mathematics principle is applied from how to obtain a minority. It is to obtain a product of two very large prime numbers, but readily tracking station the original two prime number, the product are used in a very hard principles. If a very large prime numbers p and q to obtain, then the product is the two $n=p{\times}q$ easy station, a method for tracking the number of p and q from n synthesis and it is substantially impossible. The RSA encryption algorithm, the number of digits in order to implement the inverse calculation is difficult mathematical one-way function and uses the integer factorization problem of a large amount. Factoring the concept of the calculation of the mod is difficult to use in addition to the problem in the reverse direction. But the interests of the encryption algorithm implementation usually are focused on introducing the film the first time you use encryption algorithm but we have to know how to go through some process applied to the field work This study presents a field force applied encryption process scheme based on public key algorithms attribute diagnosis.

• School Mathematics
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• v.19 no.4
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• pp.713-729
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• 2017

It is the 6th curriculum that first officially mentioned the use of calculators in elementary mathematics education in Korea. Since then, the curriculum has been more widely used than in the beginning. However, in actual textbooks, it is still not enough to see the utilization situation, and guidance in this textbook is very scarce. In particular, there is no relevant study that meets the standards of achievement of the curriculum. The purpose of this study is to investigate the contents of the research on the use of the calculator in the course of the curriculum change after the 6th curriculum, and to present the complex calculation, mathematical concept, mathematical principles and rules, mathematical problem solving. In addition, the course is presented in the textbooks that are appropriate for the achievement criteria and the application process for each topic.

• Research in Mathematical Education
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• v.11 no.2
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• pp.101-126
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• 2007

We analyze the possibilities of using Information and Communication Technologies as a resource in the teaching/learning of Mathematics and we show the results of concrete experiments carried out with the games: "Adibu", "La ciudad perdida" and "Drood en el planeta siete", with fourteen students and two primary school teachers in a school in Santa Cruz de Tenerife (Spain). Our analysis of the games is made within a global framework in which individual, cooperative and collaborative learning are considered, taking as reference the theoretical frameworks set out by Piaget, Vygotsky, and the principles of collaborative learning (Computer Supported Collaborative Learning).

• Management Science and Financial Engineering
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• v.20 no.1
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• pp.27-32
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• 2014

This paper introduces three different simulation algorithms of the shifted Poisson distribution. The first algorithm is the inverse transform method, the second is the rejection sampling, and the third is gamma-Poisson hierarchy sampling. Three algorithms have different regions of parameters at which they are efficient. We numerically compare those algorithms with different sets of parameters. As an application, we give a simulation method of the constant elasticity of variance model.

• Journal of the Korean Mathematical Society
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• v.46 no.3
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• pp.643-656
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• 2009

The family of demi-linear mappings between topological vector spaces is a meaningful extension of the family of linear operators. We establish equicontinuity results for demi-linear mappings and develop the usual theory of distributions and the usual duality theory.

• Journal of the Korean Mathematical Society
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• v.50 no.3
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• pp.607-625
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• 2013

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.