• Title/Summary/Keyword: Probability.Statistics education

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An Epistemological Inquiry on the Development of Statistical Concepts (통계적 개념 발달에 관한 인식론적 고찰)

  • Lee, Young-Ha;Nam, Joo-Hyun
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.457-475
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    • 2005
  • We have inquired on what the statistical classes of the secondary schools had been aiming to, say the epistermlogical objects. And we now appreciate that the main obstacle to the systematic articulation is the lack of anticipation on what the statistical concepts are. This study focuses on the ingredients of the statistical concepts. Those are to be the ground of the systematic articulation of statistic courses, especially of the one for the school kids. Thus we required that those ingredients must satisfy the followings. i) directly related to the contents of statistics ii) psychologically developing iii) mutually exclusive each other as much as possible iv) exhaustive enough to cover all statistical concepts We examined what and how statisticians had been doing and the various previous views on these. After all we suggest the following three concepts are the core of conceptual developments of statistic, say the concept of distributions, the summarizing ability and the concept of samples. By the concepts of distributions we mean the frequency views on each random categories and that is developing from the count through the probability along ages. Summarizing ability is another important resources to embed his probe with the data set. It is not only viewed as a number but also to be anticipated as one reflecting a random phenomena. Inductive generalization is one of the most hazardous thing. Statistical induction is a scientific way of challenging this and this starts from distinguishing the chance with the inevitable consequences. One's inductive logic grows up along with one's deductive arguments, nevertheless they are different. The concept of samples reflects' one's view on the sample data and the way of compounding one's logic with the data within one's hypothesis. With these three in mind we observed Korean Statistic Curriculum from K to 12. Distributional concepts are dealt with throughout but not sequenced well. The way of summarization has been introduced in the 1 st, 5th, 7th and the 10th grade as a numerical value only. One activity on the concept of sample is given at the 6th grade. And it jumps into the statistical reasoning at the selective courses of ' Mathematics I ' or of ' Probability and Statistics ' in the grades of 11-12. We want to suggest further studies on the developing stages of these three conceptual features so as to obtain a firm basis of successive statistical articulation.

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Bayesian analysis of Korean income data using zero-inflated Tobit model (영과잉 토빗모형을 이용한 한국 소득분포 자료의 베이지안 분석)

  • Hwang, Jisu;Kim, Sei-Wan;Oh, Man-Suk
    • The Korean Journal of Applied Statistics
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    • v.30 no.6
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    • pp.917-929
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    • 2017
  • Korean income data obtained from Korea Labor Panel Survey shows excessive zeros, which may not be properly explained by the Tobit model. In this paper, we analyze the data using a zero-inflated Tobit model to incorporate excessive zeros. A zero-inflated Tobit model consists of two stages. In the first stage, individuals with 0 income are divided into two groups: genuine zero group and random zero group. Individuals in the genuine zero group did not participate labor market since they have no intention to do so. Individuals in the random zero group participated labor market but their incomes are very low and truncated at 0. In the second stage, the Tobit model is assumed to a subset of data combining random zeros and positive observations. Regression models are employed in both stages to obtain the effect of explanatory variables on the participation of labor market and the income amount. Markov chain Monte Carlo methods are applied for the Bayesian analysis of the data. The proposed zero-inflated Tobit model outperforms the Tobit model in model fit and prediction of zero frequency. The analysis results show strong evidence that the probability of participating in the labor market increases with age, decreases with education, and women tend to have stronger intentions on participating in the labor market than men. There also exists moderate evidence that the probability of participating in the labor market decreases with socio-economic status and reserved wage. However, the amount of monthly wage increases with age and education, and it is larger for married than unmarried and for men than women.

A Comparative Study of Curriculum and Mathematics Learning Programme of Lower Grade Between Korea and New Zealand (한국과 뉴질랜드의 초등학교 저학년 교육과정 및 수학학습 프로그램의 비교와 분석)

  • 최창우
    • School Mathematics
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    • v.6 no.1
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    • pp.1-19
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    • 2004
  • Recently, we have been listening such a words, that is, the crisis of public education through the mass communication such as newspaper or broadcasting. This means that we didn't have an enough opportunity to think it over about good education programme which the education of school can be normalized or the design of curriculum in the current problems such as overcrowded class, teacher and poor finance which is not still solved. As we know, it is true that the older generation is familiar with the rote learning which was under the control of behaviorism for about three hundred years. Fortunately, The 7th curriculum which had made public by the ministry of education on 30 Dec. 1997 have changed so many things such as real life based or activity based and so on. But it still leaves something to be desired in reflecting the demand of teachers of field. Taking into account this real situation, I have wondered how they run curriculum and how math learning programme of lower grade is different with ours in New Zealand, etc and so I had tried to find some suggestive points through the comparison of curriculum and text between Korea and New Zealand. But, if we want to compare all the strands of curriculum between two countries, it is too global and so in this paper, we deal with only number and operations(number), measurement, figure(geometry), equation and patter(algebra), probability and statistics(statistics) which are dealt with more comparatively in the lower grade of primary school. Because the main purpose of this paper is a comparison and analysis of the curriculum and math learning program of the lower grade in the primary school between two countries and so we compare global characteristics of education system and curriculum between two countries, at first and then we dealt with the very core part of the content of New Zealand curriculum within the ranges of level 1, 2 and 3 and global characteristics of learning program simultaneously.

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Studying the Possibility of Puzzle Based Learning for Informatics Gifted Elementary Student Education (초등정보영재 교육을 위한 퍼즐 기반 학습 가능성 탐색)

  • Choi, JeongWon;Lee, Eunkyoung;Lee, YoungJun
    • The Journal of Korean Association of Computer Education
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    • v.16 no.5
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    • pp.9-16
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    • 2013
  • Computational thinking is an ability to resolve problems that may be applied to the various real world problems and is regarded as the core of computer science. Computational thinking may be improved through experiences of analyzing problems and of selecting, applying, and modeling strategies appropriate for problem-solving. In order to enhance computational thinking of learners, it is important to provide experiences of solving various problems. This study designed puzzle based learning in order to educate learners principles of problem solving, let them have experiences of interest and insight, and provide them with problem solving experiences. The puzzle questions used for learning were classified into six types - constraints, optimization, probability, statistics, pattern recognition, and strategies. These questions were applied to Informatics gifted elementary students and, after their education, their computational thinking and problem solving inventory significantly improved.

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The Study of National Assessment of Educational Achievement in Elementary Mathematics in 2001 (2001년도 국가수준의 초등학교 수학과 교육성취도 평가 연구)

  • 황혜정;한경혜
    • Education of Primary School Mathematics
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    • v.5 no.2
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    • pp.121-142
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    • 2001
  • The goal of the National Assessment of Educational Achievement(NAEA) 2001 was to affirm the accountability of school education, to scientifically manage and elevate the quality of education at the national level, and to articulate the final design of the NAEA. It was implemented on June 28th of the year 2001. The assessment frame for NAEA includes the achievement standards, the assessment standards, the instruction for the item development, and the grading policy for mathematics subject. Most of items are multiple-choice types, but the performance-based items should be at least thirty percent of the total items, also 30% in case of mathematics. Approximately 1% of students among entire population of the Grades 6 were randomly selected. Therefore, the finally sampled examines were 8023 at Grade 6. The result of the analysis of the NAEA revealed that Grade 6 students was labelled as ‘average’ level in general (Number and Operation: average, Geometric figures: average, Patterns and Functions: excellent, Measurements: average, Letters and Expressions: average, Probability and Statistics: average). The most characteristic finding was that except for Grade 6(its average is 69.92), most secondary students obtained low test scores and its average of each grade is below 50 out of 100. Especially, the scores on the performance-based items were by and large very low. This finding implies that Korean students are not familiar with the kind of test items which requires expression of ideas and feelings and they are rather familiar with the multiple-choice items. Another interesting finding was that the students in small towns and remote areas showed significantly low scores in all four skills compared with Seoul, metropolitan cities and medium and small cities. This may be attributed from the fact that the remote areas do not have equal learning environment with regard to social and cultural experience, supply of various teaching materials, extracurricular lessons which are directly related to teaching and learning. These findings may be utilized as a reliable resource fur improving curriculum and teaching and learning in Mathematics.

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An analysis on marine casualties of fishing vessel by FTA method (결함수 분석 (FTA) 기법을 이용한 어선 해양 사고 분석)

  • KIM, Su-Hyung;KIM, Hyung-Suk;KANG, Il-Kwon;KIM, Wook-Sung
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.53 no.4
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    • pp.430-436
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    • 2017
  • The most frequent occurring and the serious marine casualties in fishing vessels are the collision in statistics from Korea Maritime Safety Tribunal (2008-2015). Collisions are is given a great deal of weight in all marine casualties, and the main cause of collisions is the negligence of watching. From this point of view, this study deals with the collision and its immediate cause, the negligence of watching which are main factors on the indirect causes. Basic analyzing data was gathered from the questionnaire made by experts of sea service part, and analyzed by using the fault tree analysis (FTA). From the result of the study, the occurrent probability of the negligence of watching in the collision due to the indirect causes occupied 64.9%, and its probability caused by the man factors was less than the other factors; i.e. the media factors and the management factors. For the reduction of the negligence of watching in the collision from this study, it needs an effort to remove not only the man factors, but also the media factors and management factors.

Empirical Analysis on Rao-Scott First Order Adjustment for Two Population Homogeneity test Based on Stratified Three-Stage Cluster Sampling with PPS

  • Heo, Sunyeong
    • Journal of Integrative Natural Science
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    • v.7 no.3
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    • pp.208-213
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    • 2014
  • National-wide and/or large scale sample surveys generally use complex sample design. Traditional Pearson chi-square test is not appropriate for the categorical complex sample data. Rao-Scott suggested an adjustment method for Pearson chi-square test, which uses the average of eigenvalues of design matrix of cell probabilities. This study is to compare the efficiency of Rao-Scott first order adjusted test to Wald test for homogeneity between two populations using 2009 Gyeongnam regional education offices's customer satisfaction survey (2009 GREOCSS) data. The 2009 GREOCSS data were collected based on stratified three-stage cluster sampling with probability proportional to size. The empirical results show that the Rao-Scott adjusted test statistic using only the variances of cell probabilities is very close to the Wald test statistic, which uses the covariance matrix of cell probabilities, under the 2009 GREOCSS data based. However it is necessary to be cautious to use the Rao-Scott first order adjusted test statistic in the place of Wald test because its efficiency is decreasing as the relative variance of eigenvalues of the design matrix of cell probabilities is increasing, specially more when the number of degrees of freedom is small.

Effects of an Educational Program for the Reduction of Physical Restraint Use by Caregivers in Geriatric Hospitals (노인전문병원 간호제공자의 신체적 억제대 사용 감소를 위한 교육 프로그램의 효과)

  • Choi, Keum-Bong;Kim, Jin-Sun
    • Journal of Korean Academy of Nursing
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    • v.39 no.6
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    • pp.769-780
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    • 2009
  • Purpose: The purposes of this study were to develop an educational program to reduce the use of physical restraints for caregivers in geriatric hospitals and to evaluate the effects of the program on cargivers' knowledge, attitude and nursing practice related to the use of physical restraints. Methods: A quasi experimental study with a non-equivalent control group pretest-posttest design was used. Participants were recruited from two geriatric hospitals. Eighteen caregivers were assigned to the experimental group and 20 to the control group. The data were collected prior to the intervention and at 6 weeks after the intervention through the use of self-administered questionnaires. Descriptive statistics, $\chi^2$ test, Fisher's exact probability test, and Mann-Whitney U test were used to analyze the data. Results: After the intervention, knowledge about physical restraints increased significantly in experimental group compared to the control group. However, there were no statistically significant differences between the groups for attitude and nursing practice involving physical restraints. Conclusion: Findings indicate that it is necessary to apply knowledge acquired through educational programs to nursing practice to reduce the use of physical restraints. User friendly guidelines for physical restraints, administrative support of institutions, and multidisciplinary approaches are required to achieve this goal.

A Study of Activity-types in Elementary Mathematics Textbooks (초등 수학 교과서의 학습 활동유형에 대한 분석)

  • Ahn, Byoung-Gon
    • School Mathematics
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    • v.14 no.1
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    • pp.151-163
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    • 2012
  • In 2006 with the revised national curriculum, Elementary mathematics teaching and learning methods are presented in the following ways. Learners explore the way through the operational activities of the teachers and students with learning and learners' active learning activities, etc., and an active learning based on the principle of attention to learning how to maximize the effectiveness are required. In this study, from first grade through sixth grade elementary school mathematics textbooks for all learning activities presented in 10 different types were investigated This result of 5 contents area of number and operation, geometry, probability and statistics, measurement and patterns and problem solving and divided into low, middle, and hight three were intentional. In addition, teachers are looking forward to this result was compared with the type of activity.

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Chronic Obstructive Pulmonary Disease in Korea: Prevalence, Risk Factors, and Quality of Life (한국성인의 만성 폐쇄성 폐질환 유병률, 위험요인 및 삶의 질)

  • Jung, Young-Mi;Lee, Hee-Young
    • Journal of Korean Academy of Nursing
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    • v.41 no.2
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    • pp.149-156
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    • 2011
  • Purpose: This study seeks to examine prevalence, risk factors, and quality of life of Korean adults with Chronic Obstructive Pulmonary Disease (COPD). Methods: From the database of the Fourth Korean National Health and Nutrition Examination Survey (KNHANES IV-1, 2008), the researchers selected 1,458 adults over the age of 45. The original study was a population-based epidemiological survey of health and nutrition with a stratified multistage clustered probability design. Prevalence of COPD was computed on the basis of the sampling weight. Data were analyzed using descriptive statistics, ${\chi}^2$ test, t-test and multiple logistic regression with the SPSS WIN 18.0 and SAS Ver. 9.1 program. Results: The prevalence of COPD was 18.0% among people older than 45 yr. The prevalence of current smokers was 19.7% in this population and 26.3% in individuals with COPD. Age, gender, education, and smoking levels were found to be risk factors for COPD. Significant difference in quality of life was founded between adults with COPD and the healthy controls. Conclusion: The results of this study indicate that COPD is a highly prevalent disease in Korea. To reduce the prevalence of COPD and improve health-related quality of life in patients with COPD, nursing interventions must focus on prevention of risk factors.