• Title/Summary/Keyword: Probability education

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Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

  • Kim, Jung-Hyun;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.235-257
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    • 2010
  • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

Analysis of Research Trends in SIAM Journal on Applied Mathematics Using Topic Modeling (토픽모델링을 활용한 SIAM Journal on Applied Mathematics의 연구 동향 분석)

  • Kim, Sung-Yeun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.607-615
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    • 2020
  • The purpose of this study was to analyze the research status and trends related to the industrial mathematics based on text mining techniques with a sample of 4910 papers collected in the SIAM Journal on Applied Mathematics from 1970 to 2019. The R program was used to collect titles, abstracts, and key words from the papers and to analyze topic modeling techniques based on LDA algorithm. As a result of the coherence score on the collected papers, 20 topics were determined optimally using the Gibbs sampling methods. The main results were as follows. First, studies on industrial mathematics were conducted in a variety of mathematics fields, including computational mathematics, geometry, mathematical modeling, topology, discrete mathematics, probability and statistics, with a focus on analysis and algebra. Second, 5 hot topics (mathematical biology, nonlinear partial differential equation, discrete mathematics, statistics, topology) and 1 cold topic (probability theory) were found based on time series regression analysis. Third, among the fields that were not reflected in the 2015 revised mathematics curriculum, numeral system, matrix, vector in space, and complex numbers were extracted as the contents to be covered in the high school mathematical curriculum. Finally, this study suggested strategies to activate industrial mathematics in Korea, described the study limitations, and proposed directions for future research.

Calculation and Applicability of Rotifers Biomass (Polyarthra spp.) based on Length-Weight Relationship and Spatial Distribution of Body Length (윤충류 생체량 계산과 적용에 관한 고찰 및 제언: Polyarthra의 체장 분포를 이용한 길이-무게 관계식 및 생체량 비교 분석)

  • Oh, Hye-Ji;Seo, Dong-Hwan;Choi, Moonjung;Jeong, Hyun-Gi;Kim, Hyun-Woo;Oh, Jong Min;Chang, Kwang-Hyeon
    • Korean Journal of Ecology and Environment
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    • v.51 no.3
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    • pp.205-211
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    • 2018
  • In this study, we estimated the applicability of length-weight relationship-based biomass calculations by comparison of body length of genus Polyarthra collected from different habitats. Through the comparison, we also tested availability of representative species-specific biomass value of Polyarthra which is often used without length measurement. Polyarthra samples were collected from rivers (Han River and Nakdong River) and reservoir (Paldang Reservoir), and the body length was measured for statistical comparison among habitats and biomass calculations using different equations suggested previously. According to the results, the body length of Polyarthra spp. was significantly different among sampling sites, and the necessity of body length measurement for rotifer species in each situation has been suggested rather than using the representative biomass values which is fixed without considering time and space. Comparison of suggested biomass calculations based on our measured Polyarthra body length, the equation suggested by McCauley showed more reasonable range of biomass values than that suggested by EPA. In addition, in order to calculate more accurate biomass, it is necessary to measure the body length of rotifers, at least more than 44 individuals to reduce error probability to less than 5% with 99% probability. However, since direct measurement of rotifers biomass is limited, it is considered that further analyses are required for more precise application of rotifer biomass of which has high variability due to complex morphologies and species-specific cyclomorphosis often induced by biotic and abiotic factors in the habitats.

Villagers' Participation in Conservation of Village Woodlands -Two cases of Namwon City, Korea (마을숲 보전 사업에 대한 마을 주민의 참여가능성 -남원시 2개 마을의 경우)

  • Park, So-Hee;Koo, Ja-Choon;Youn, Yeo-Chang
    • Journal of Korean Society of Forest Science
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    • v.102 no.1
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    • pp.15-23
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    • 2013
  • This study aims to analyze factors affecting villagers' participation in conservation of village woodlands. We postulated that socio-economic characteristics such as gender, age, place of birth, wealth level, frequency of use and leader experience could contribute to decision-making of participation in the village woodland conservation. Data were collected by interviewing 52 villagers in village A and 41 villagers in village B and were used to estimate the probability function of villager's participation in village woodland conservation using ordered logit model. The results indicate that frequent use of village woodlands increases the probability of villagers' participation in conservation of village woodlands in the case of village A. In the case of village B, people who were born in the village and have experiences of serving the village as a village leader are more likely to participate in the village woodland conservation activities. Considering the fact that the village woodland of village A is owned by the community as a village common, and that cultural activities remain in the village woodland of village A, the utility of village woodlands to the residents and their common understanding of village woodlands seem to influence the likelihood of villagers' participation in conservation of village woodlands. In order to induce villagers' participation in the village woodland conservation, it is necessary to recognize the right of villager's access and provide villagers with common understanding of village woodlands through cultural activities and education programs.

Estate Planning among the U.S. Elderly - Focusing on Wills - (미국 노인층의 자산 상속 계획 - 유언장 준비를 중심으로 -)

  • Lee Jieun
    • Journal of the Korean Home Economics Association
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    • v.43 no.6 s.208
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    • pp.113-131
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    • 2005
  • The purpose of this study was to investigate older people's planning for estate distribution by examining the factors associated with their will-holding status. This study used data from the 1994 Assets and Health Dynamics among the Oldest Old (AHEAD) Survey, Wave One. The objectives of this study were (a) to establish profiles of older people who have a written will and to compare their financial portfolios across will-holding status; (b) to identify factors that influence the decision to make a will, and (c) to draw implications for family economists, financial educators, planners, and policy makers. The results suggested that a household's financial resources (i.e., liquid and illiquid assets, housing equity, and household income) positively influence the probability of having a will. Older people who resided in a community property state and who were in poor health were less likely to be will-holders than their counterparts, holding financial resources and other variables constant. Demographic characteristics such as age, education, and race, and behavioral characteristic also were significant determinants of the likelihood of having a will. Volunteer participation and charitable contribution, which are proxies for altruism, increased the likelihood of having a will. The probability of having a will also was higher among those who had life insurance and had gwen inter-vivos gifts of more than $\$5,000$ to their children or grandchildren in the past 10 years. On the other hand, the likelihood of having a will declined with increasing number of biological children. From the findings, implications for financial planners and educators were suggested along with directions for future research.

A study of improved ways of the predicted probability to criminal types (범죄유형별 범죄발생 예측확률을 높일 수 있는 방법에 관한 연구)

  • Chung, Young-Suk;Kim, Jin-Mook;Park, Koo-Rack
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.4
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    • pp.163-172
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    • 2012
  • Modern society, various great strength crimes are producing. After all crimes happen, it is most important that prevent crime beforehand than that cope. So, many research studied to prevent various crime. However, existing method of studies are to analyze and prevent by society and psychological factors. Therefore we wishes to achieve research to forecast crime by time using Markov chain method. We embody modelling for crime occurrence estimate by crime type time using crime occurrence number of item data that is collected about 5 great strength offender strength, murder, rape, moderation, violence. And examined propriety of crime occurrence estimate modelling by time that propose in treatise that compare crime occurrence type crime occurrence estimate price and actuality occurrence value. Our proposed crime occurrence estimate techniques studied to apply maximum value by critcal value about great strength crime such as strength, murder, rape etc. actually, and heighten crime occurrence estimate probability by using way to apply mean value about remainder crime in this paper. So, we wish to more study about wide crime case and as the crime occurrence estimate rate and actuality value by time are different in crime type hereafter applied examples investigating.

New index for the gifted students(G-Index) with EEG analysis (뇌파검사 자료를 기반으로 한 과학영재 판별 지수(G-Index) 개발과 적용)

  • Kim, Kyung-Hwa;Kim, Kyu-Han;Lee, Sun-Kil;Hur, Myung;Kim, Yong-Jin
    • Journal of Gifted/Talented Education
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    • v.15 no.1
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    • pp.67-84
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    • 2005
  • In this study we investigated the adequacy of tools for distinction gifted students through the comparison these mutual relation on the basis of data, like paper test, the depths interview score, and the rest data((TTCT: Torrance Tests of Creative Thinking, IQ test, FASP: Find A Shape Puzzle, V.T: Visualization Tests and Exp: experimental ability test), and analysis data of EEG test for examining the adequacy of tools for identification gifted students. So, we developed Brain Wave gifted Index(G-Index) for finding another distinction ability as using brain waves data. The standard of index development use gifted brain characteristic in closed-eyes rest state which is judged like that characteristic of distinction between gifted and normal students is the most clear and consistence. That is, the degree of unified pattern between each object and gifted PCA pattern was defined by Pearson method which added spatial mutual index to weight concept. This refer to mean number of spatial PCA pattern. Searching for the possibility of distinction gifted gave distinction effect in 76%. The result of regression analysis on the basis of mutual relation between the rest data is . The probability formula for distinct gifted group is as follow. $$P=\frac 1{1+e^{-[-0.018(TTCT)+0.057(IQ)+1.916(FASP)+0.682(V.T)+0.088(Exp.)+0.034(G-Index)-57.510]}}$$ The result of this calculation showed that probability for distinct in gifted group was very good(95.0%). On the basis of upper result, tools for identification gifted students should be estimated as using many-sided estimation data whatever possible. And following study about development, and operation of tools for distinction suitable to gifted student in science should be progressed.

Estimation of Smoking Prevalence among Adolescents in a Community by Design-based Analysis (설계기준 분석 방법에 의한 지역사회 청소년 흡연율 추정)

  • Park, Soon-Woo;Lee, Sang-Won;Park, Jung Han;Yun, Yeon-Ok;Lee, Won-Kee;Kim, Jong-Yeon
    • Journal of Preventive Medicine and Public Health
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    • v.39 no.4
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    • pp.317-324
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    • 2006
  • Objectives: This study was conducted to estimate the unbiased smoking prevalence and its standard errors among adolescents in a large city in Korea, by design-based analysis. Methods: All the students in Daegu city were stratified by grade, gender and region, and then schools as primary sampling units (PSU) were selected by probability proportional to size (PPS) sampling. One or two classes were sampled randomly from each grade, from 5th grade in elementary schools to the 3rd grade in high schools. The students anonymously completed a standardized self-administered questionnaire from October to December 2004. The total number of respondents was 8,480 in the final analysis, excluding the third graders in the general high schools because of incomplete sampling. The sampling weight was calculated for each student after post-stratification adjustment, with adjustment being made for the missing cases. The data were analyzed with Stata 8.0 with consideration of PSU, weighting and the strata variables. Results: The smoking prevalence (%) and standard errors for male students from the fifth grade in elementary schools to the second grade in high schools were $0.93{\pm}0.47,\;1.83{\pm}0.74,\;3.16{\pm}1.00,\;5.12{\pm}1.02,\;10.86{\pm}1.13,\;15.63{\pm}2.44\;and\;17.96{\pm}2.67$, and those for the female students were $0.28{\pm}0.28,\;1.17{\pm}0.73,\;3.13{\pm}0.60,\;1.45{\pm}0.58,\;3.94{\pm}0.92,\;8.75{\pm}1.86\;and\;10.04{\pm}1.70$, sequentially. Conclusions: The smoking prevalence from this study was much higher than those from the other conventional studies conducted in Korea. The point estimates and standard errors from the design-based analysis were different from those of the model-based analysis. These findings suggest the importance of design-based analysis to estimate unbiased prevalence and standard errors in complex survey data and this method is recommended to apply to future surveys for determining the smoking prevalence for specific population.

A Markov Chain Model for Population Distribution Prediction Considering Spatio-Temporal Characteristics by Migration Factors (이동요인별 시·공간적 인구이동 특성을 고려한 인구분포 예측: 마르코프 연쇄 모형을 활용하여)

  • Park, So Hyun;Lee, Keumsook
    • Journal of the Economic Geographical Society of Korea
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    • v.22 no.3
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    • pp.351-365
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    • 2019
  • This study aims to predict the changes in population distribution in Korea by considering spatio-temporal characteristics of major migration reasons. For the purpose, we analyze the spatio-temporal characteristics of each major migration reason(such as job, family, housing, and education) and estimate the transition probability, respectively. By appling Markov chain model processes with the ChapmanKolmogorov equation based on the transition probability, we predict the changes in the population distribution for the next six years. As the results, we found that there were differences of population changes by regions, while there were geographic movements into metropolitan areas and cities in general. The methodologies and the results presented in this study can be utilized for the provision of customized planning policies. In the long run, it can be used as a basis for planning and enforcing regionally tailored policies that strengthen inflow factors and improve outflow factors based on the trends of population inflow and outflow by region by movement factors as well as identify the patterns of population inflow and outflow in each region and predict future population volatility.

Analysis of Learners' Characteristics and Preferences for Effective Online Learning (효과적인 온라인 학습을 위한 학습자특성과 선호도 분석)

  • Lee, Young Lim;Im, Hee-Joo
    • Journal of Convergence for Information Technology
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    • v.11 no.12
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    • pp.138-147
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    • 2021
  • This study aims to analyze the characteristics and preferences of learners who participated in college online classes for effective online learning. A total of 101 college students who participated in online classes completed the survey including personal characteristics of students and learning factors that affect online classes. The results showed that male students were more likely than female students to respond that online classes were more effective. Likewise students who learned from video recordings compared to those who learned from real-time lectures. As a result of analyzing the difficulties of online learning, there was a high probability that online learning was ineffective for students who had difficulties in self-learning and asking questions to their lecturers. Likewise, students who spent a lot of time studying online lectures, there was a high probability that online classes would be more effective for students who spent a lot of time on assignments. The results suggest that online learning is more effective for students who learn actively and self-directedly than those who passively participate in classes. This study implies that it is necessary to design online classes based on the characteristics and preferences of learners to improve the quality of education.