• Journal of the Korean Data and Information Science Society
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• v.19 no.3
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• pp.845-849
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• 2008

2009 year new execution of appointments for secondary school teachers was announced at 2004 year by Ministry of Education. The new school teacher appointment has been developed and studied in various aspects of appropriate qualification for good school teacher. In the results of the studies by Korea School Mathematics Education Association and pre-exams by Korea Institute for Curriculum and Evaluation, the Probability and Statistics chapters are less revaluated as 7.5-10%, but we argue those more than 15% as along with our recent Korean school texts reviews(Lee, et al., 2005).

• Journal of the Korea Society of Computer and Information
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• v.21 no.7
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• pp.85-92
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• 2016

The law of large numbers, central limit theorem, and connection among binomial distribution, normal distribution, and statistical estimation require dynamics of continuous visualization for students' better understanding of the concepts. During this visualization process, the differences and similarities between statistical probability and mathematical probability that students should observe need to be provided with the intermediate steps in the converging process. We propose a visualization method that can integrate intermediate processes and results through Excel. In this process, students' experiences with dynamic visualization help them to perceive that the results are continuously changed and extracted from multiple situations. Considering modeling as a key process, we developed a classroom exercise using Excel to estimate the population mean and standard deviation by using a sample mean computed from a collection of data out of the population through sampling.

• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.6
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• pp.837-841
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• 2008

In this paper, we consider interval probability as a unifying concept for uncertainty and Choquet integrals with resect to a capacity functional. By using interval probability, we will define an interval-valued capacity functional and Choquet integral with respect to an interval-valued capacity functional. Furthermore, we investigate Choquet weak convergence of interval-valued capacity functionals of random sets.

• Journal for History of Mathematics
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• v.15 no.1
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• pp.135-146
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• 2002

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.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.131-132
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• 2008

In this paper, we consider interval probability as a unifying concept for uncertainty and Choquet integrals with resect to a capacity functional. By using interval probability, we will define an interval-valued capacity functional and Choquet integrals with respect to an interval-valued capacity functional. Furthermore, we investigate Choquet Choquet weak convergence of interval-valued capacity functionals of random sets.

• The Pure and Applied Mathematics
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• v.6 no.1
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• pp.17-25
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• 1999

In this paper, we investigate the properties of the Dunford-Schwartz integral (the integral with respect to a finitely additive measure). Though it is not equivalent to the cylinder integral, we can show that a cylinder probability v on (H, C) can be extend as a finitely additive probability measure $\hat{v}$ on a field $\hat{C}{\;}{\supset}{\;}C$ which is equivalent to the Dunford-Schwartz integral on ($H,{\;}\hat{C},{\;}\hat{v}$).

• Honam Mathematical Journal
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• v.28 no.1
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• pp.165-183
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• 2006

In this article, we try to show that concepts and principles in probability can be taught vividly through the use of the Monte Carlo method to students who have difficulty with probability in the classrooms. We include some topics to demonstrate the application of a wide variety of real world problems that can be addressed.

• Communications of the Korean Mathematical Society
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• v.20 no.2
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• pp.381-393
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• 2005

We consider a type of large deviation principle obtained by Freidlin and Wentzell for the solution of Stochastic differential equations in a conuclear space. We are using exponential tail estimates and exit probability of a Ito process. The nuclear structure of the state space is also used.

• Bulletin of the Korean Mathematical Society
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• v.61 no.3
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• pp.825-835
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• 2024

We describe the local transition probability of a singular diagonal action on the standard non-uniform quotient of PGL₃ associated to the type 1 geodesic flow. As a consequence, we deduce the property of strongly positive recurrence.

• The Mathematical Education
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• v.23 no.1
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• pp.27-29
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• 1984

본 논문에서는 Daniell 적분과 확률 측도를 정의하고, 이와 연관된 성질을 이용하여 벡터속으로 이루어진 $\sigma$체 위에 정의된 확률측도는 유일하게 존재함을 밝혔다.