• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.529-534
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• 2007

We obtain an explicit expression of the loss probability for the PR/M/1/K queue when the offered load is strictly less than one.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권2호
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• pp.127-140
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• 2011

"Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

• 가정과삶의질연구
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• 제24권5호
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• pp.251-270
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• 2006

This study examined how the households used and combined financing sources to pay for college education. It compared the probability of using each source (current incomes, saving, education loans and grants) by households' socio-economic characteristics and analyzed which factors influence the decision to use each source and the amounts from each source for financing college education. Data for this study were from a questionnaire completed by 4-year college students (n=623) and were analyzed by t-tests, ANOVA and Heckman's two-step estimation models. The findings of this study were as follows: First, the most frequent source for college education was parents' savings and the second one was parents' incomes. Also, the most frequent combination of sources was saving and current incomes and the second was combination of three sources, saving, incomes and education loans. Second, the probability of using incomes was higher for younger students than for older students. The number of siblings showed significant differences among income, savings and education loans. Those who had higher incomes were more likely to use current incomes, saving, but less likely to borrow for financing college education. Middle-class income groups were more likely to borrow for education. Third, household incomes and asset holdings had generally positive impacts on the probability of using incomes and savings for college education, while total debt burden decreased both the probability and amounts of income and saving sources. The college costs had significantly positive effects on both the probability and the amounts of all of financing sources. Total grants received significantly decreased the amounts from incomes, savings and borrowing sources.

• Journal of the Korean Data and Information Science Society
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• 제18권4호
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• pp.1065-1071
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• 2007

A partial amendment of probability and statistics education in Korea has carried out from January, 2007. We have compared between the patial amendment and 7th national mathematics curriculum. Some ideas are proposed to achieve goals of the revision; textbooks of mathematics are well supervised by well-trained statisticians and teachers are periodically trained for the statistical knowledge.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.273-283
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• 2006

We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

• 응용통계연구
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• 제22권4호
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• pp.829-854
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• 2009

기초통계학 교육 시 확률 부분에 대한 강의는 추측통계학 영역의 시작 부분으로서 학생들이 통계학을 수강할 때 교수 강의를 따라가기 어려워하기 시작하는 부분이다. 기초 통계학 확률부분 강의 시 유용하게 사용할 수 있는 사례들을 제시하고 R을 이용하여 구현하여 보았다.

• 대한화학회지
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• 제47권2호
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• pp.165-174
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• 2003

이 연구의 목적은 중학생의 인지수준과 확률적 사고수준을 측정하여 그 관계를 분석하고 Thinking Science (TS) 프로그램의 확률 활동을 적용하여 그 효과를 분석하는 것이다. 중학교 1학년 219명을 실험집단과 통제집단으로 나누어, 실험집단에는 TS 프로그램의 확률 활동을, 통제집단에는 전통적인 과학 수업을 적용하였다. 결과에 의하면, 중학생의 인지수준은 대부분 구체적 조작기에 해당하였고, 많은 학생들의 확률적 사고수준은 확률 문제 해결에 양적 전략을 사용하면서 주관적 전략도 함께 사용하는 과도기적인 수준이었다. 또한, 인지수준이 높을수록 확률적 사고 수준도 높았으며, 확률의 구성요소 중에서 표본 공간과 한 사건에 대한 확률이 확률 비교와 조건부 확률보다 먼저 발달하였다. TS 프로그램의 확률 활동은 학생들이 확률 문제 해결에 양적 전략을 사용하도록 하는 데에 효과적이었다. 특히 사전에 확률 문제 해결에 주관적 전략과 양적 전략을 혼용하던 중기 구체적 조작기인 학생들이 사후에 양적 전략을 사용하도록 하고, 한 사건에 대한 확률을 인식하도록 하는 데에 효과가 있었다.

• 한국수학사학회지
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• 제31권5호
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• pp.251-269
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• 2018

Empirical probability and classical probability, which are two interpretations of Kolmogorov's axiom, are two ways to recognize the chances of events occurring in the real world. In this paper, I analyzed and suggested the contents of the high school textbooks ${\ll}$Probability and Statistics${\gg}$, associated with two interpretations of probability and experiments on which two interpretations are based. By presenting the cases required expressly stating what the experiment is for supporting students' understanding of some concepts, it was discussed that stating or not stating what the experiment is should be carefully determined by the educational intent. Especially, I suggested that in the textbooks we contrast the good idea of calculating the ratios of two possibilities in the imaginary world of the classical probability with the normal idea of grasping the chances of events through the frequencies in the real world of the empirical probability, with distinguishing the experiments in two interpretations of probability. I also suggested that in the textbooks we make it clear that the Weak Law of Large Numbers justifies our expectations of the frequencies' reflecting the chances of events occurring in the real world under ideal conditions. Teaching and learning about the aesthetic elements and the practicality of imaginary mathematical thinking supported by these textbooks statements could be one form of Humanities education in mathematics as STEAM education.

• Communications for Statistical Applications and Methods
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• 제7권1호
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• pp.337-356
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• 2000

In Korea mathematics education of middle school has been taken according to the 6th national mathematics curriculum which was renovated by the Ministry of Education announcement in 1992. The eight middle school mathematics textbooks are composed of under this curriculum The education of probability and statistics has been carried out as a part of statistics education centering around middle school's mathematics textbooks.

• 가족자원경영과 정책
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• 제6권2호
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• pp.133-142
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• 2002

The purpose of this study was to compare characteristics between the parents who saved money for their children's college education and those who did not, in an effort to identify the factors influencing the decision to save. From 1998 Survey of Consumer Finances (SCF), a sample of 1,085 family households was employed. Logistic regression analysis was used to examine the probability of saving for college education. The results showed that higher incomes and financial assets significantly increased the probability of saving for children's college education. The married couples who had higher education and larger household sizes were more likely to save. The age of the youngest child was a significant positive factor in the probability of saving for college education