• 제목/요약/키워드: concepts on the statistics

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THE USE OF ANECDOTES IN TEACHING THE INTRODUCTORY STATISTICS FOR THE PROSPECTIVE TEACHERS

  • Lee, Sang-Gone
    • 호남수학학술지
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    • 제31권4호
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    • pp.541-558
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    • 2009
  • Anecdotes can produce an emotional and simple response that decreases stress and anxiety in a classroom. The use of anecdotes in building concepts of statistics can support an effective way of teaching and learning statistics. Particularly, we demonstrate several anecdotes including pictures as the medium of image that are designed to motivate statistical ideas by placing them at the beginning of a lecture and by appealing to prospective teachers weighed down. Our purpose is that under the constructivist view, prospective teachers have an opportunity effectively to teach statistical concepts using humorous anecdotes and to experience significant beliefs on identifying some frequent misconceptions in statistics. At this procedure, the anecdotal teaching practice is concerned with describing and evaluating many humorous anecdotes we have found useful in teaching introductory statistics. We hope that this paper can be helpful to prospective teachers who will teach students such topics as descriptive statistics, sampling, and hypothesis testing.

객체지향 및 동적연동 교육용 통계패키지 K-plot 개발 (A Development of Object-Oriented, Dynamically Linked Statistical Package for 5-8 Graders)

  • 이정진;이태림;강근석;김성수;박헌진;이윤동;심송용
    • 응용통계연구
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    • 제26권3호
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    • pp.421-429
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    • 2013
  • 현대통계학은 많은 분야에서 사용되고 있으나 사용자들이 통계학적 개념을 이해하는데 어려움을 겪고 있다. 한편으로는 초등학생 때부터 줄기잎 그림이나, 비율자료의 원그림 등은 물론이고 평균과 같은 기술통계를 배우고 있다. 초등학교 고학년이나 중학교 저학년 학생들을 위한 직관적인 통계 패키지가 있다면 미래의 통계 사용자들인 이들 학생들이 통계적 개념을 이해하는데 많은 도움이 될 것이라고 생각하여 직관에 기초한 통계 패키지를 개발하였다.

초중등학생 교육용 통계패키지 통그라미 개발 (A Statistics Education Package Tong-Gramy for 5-8 Graders)

  • Lee, Jung Jin;Lee, Tae Rim;Kang, Gunseog;Kim, Sungsoo;Park, Heon Jin;Lee, Yoon-Dong;Sim, Songyong
    • 응용통계연구
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    • 제27권3호
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    • pp.487-500
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    • 2014
  • 초중등 교과과정에 기본적인 통계 개념과 다양한 그래프가 사용된다. 하지만 통계적 개념은 이해하기 쉽지 않으며 사용된 그래프는 손으로 구현하는 경우가 많다. 본 연구에서는 그래프 및 수치요약을 직관적으로 할 수 있는 교육용 통계 패키지 '통그라미'를 개발하여 학생 및 교사에 도움이 되고자 하였다. 통그라미는 초중등학교 교과서에 나오는 그래프 및 수치요약을 포함하였다. 그래프는 동적 연결을 통하여 원자료와 연결되었으며, 원자료도 그래프에 연동하였다. 통그라미의 모든 그래프는 동적 그래프이며, 적용 가능한 경우 모핑 기법을 사용하였다.

Some Dependence Structures of Multivariate Processes

  • Jong Il Baek
    • Communications for Statistical Applications and Methods
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    • 제2권1호
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    • pp.201-208
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    • 1995
  • In the last years there has been growing interest in concepts of positive dependence for families of random variables such that concepts are considerable us in deriving inequalities in probability and statistics. Lehman introdued various concepts of positive dependence for bivariate random variables. A much stronger notions of positive dependence were later considered by Esary, Proschan, and Walkup. Ahmed et al and Ebrahimi and Ghosh also obtained multivariate versions of various bivariate positive dependence as descrived by Lehman. See also Block al. Glaz and Johnson an Barlow and Proschan and the references there. Multivariate processes arise when instead of observing a single process we observe several processes, say $X_19t), \cdots, X_n(t)$ simultaneously. For example, in an engineering context we may want to study the simultaneous variation of current and voltage, or temperature, pressure and volume over time. In economics we may be interested in studying inflation rates and money supply, unemployment and interest rates. We could of course, study each quantity on its own and treat each as a separate univariate process. Although this would give us some information about each quantity it could never give information about the interrelationship between various quantities. This leads us to introduce some concepts of positive and for multivariate stochastic processes. The concepts of positive dependence have subsequently been extended to stochastic processes in different directions by many authors.

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Implementation of a Web-Based Electronic Text for High School's Probability and Statistics Education

  • Choi, Sook-Hee
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.329-343
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    • 2004
  • With advancement of computer and network, world wide web(WWW) as a medium of information communication is generalized in many fields. In educational aspect, applications of WWW as alternative media for class teachings or printed matters are increasing. In this article, we demonstrate a web-based electronic text on the 'probability and statistics' which is one of six fields of mathematics in the 7th curriculum. This text places importance on comprehension of concepts of probability and statistics as an applied science.

중등 교사 양성을 위한 확률과 통계 영역의 교육과정 개발 (Development of Curriculum on Probability and Statistics for Training of Mathematics Teacher of Secondary Schools)

  • 이강섭
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권4호
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    • pp.561-577
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    • 2003
  • Because statistical concepts are important parts in school mathematics, mathematics teachers have trained by special education model. In this study, a desirable direction of curriculum on probability and statistics at pre-service for mathematics teacher is considered. We proposed four subjects as Exploration and Analysis of Data for Mathematics Teacher, Probability and Statistics I, II for Mathematics Teacher and Statistical Software for Mathematics, and suggested the constituents and something being kept in mind for each subject.

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On the Efficient Teaching Method of Confidence Interval in College Education

  • Kim, Yeung-Hoon;Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1281-1288
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    • 2008
  • The purpose of this study is to consider the efficient methods for introducing the confidence interval. We explain various concepts and approaches about the confidence interval estimation. Computing methods for calculating the efficient confidence interval are suggested.

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On the Partial Ordering of Hitting times of Bivariate Processes

  • Baek, Jong-Il;Seo, Hye-Young
    • Communications for Statistical Applications and Methods
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    • 제3권3호
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    • pp.235-245
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    • 1996
  • In this paper, a partial ordering of positive quadrant dependence(PQD) for bivariate stochastic processes are introduced and basic properties and closure under certain statistical operations are derived. Examples are given to illustrate these concepts

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Challenges Faced by a Mathematically Strong Student Intransferring his Success in Mathematics to Statistics: A Case Study

  • Kim, Hyung Won;Fukawa-Connelly, Tim
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권3호
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    • pp.223-240
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    • 2015
  • This study qualitatively investigates the nature of the challenges that a student who is highly successful in mathematics faces in learning college-level elementary statistics. The study draws on the constructs of eagerness, flexibility and willingness to characterize the necessary disposition for critical thinking that is essential in learning statistics. The case study is based on data collected through a survey assessment and a follow-up interview with a mathematics major enrolled in an elementary college statistics course at the time of the study. The qualitative analysis relies on the student's verbal descriptions of the challenges he was experiencing in the course. The findings suggest that while his strong inclination towards inquisitive learning and strong understanding of mathematical concepts supported this student's mathematics learning, the same characteristics might have been causing him difficulties in learning college-level elementary statistics.

수학적 연결성을 고려한 연속확률분포단원의 지도방안 연구 (A Study on Teaching Continuous Probability Distribution in Terms of Mathematical Connection)

  • 황석근;윤정호
    • 대한수학교육학회지:학교수학
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    • 제13권3호
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    • pp.423-446
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    • 2011
  • 학교수학에서 정적분과 치환적분법의 개념은 확률밀도함수의 도입, 연속확률변수의 기댓값, 정규분포의 표준화와 관련하여 수학적 연결성을 가진다. 그러나 개정교육과정의 '미적분과 통계 기본', '적분과 통계' 과목의 교육과정해설서와 검인정 교과서 및 익힘책에서 적분단원과 통계단원 사이의 수학적 연결성 고려가 어려움을 발견하였다. 본 연구는 학교수학에서 확률밀도함수의 도입, 연속확률변수의 기댓값, 정규분포의 표준화에 대하여 적분단원과의 수학적 연결성을 고려한 지도방안 마련을 목적으로 한다. 세개념에 대한 학생대상 실태조사와 개정교육과정의 교육과정해설서, 교과서, 익힘책, 그리고 국내 외 통계학(확률론) 도서(국내 13종, 국외 22종)의 내용을 비교하였다. 이를 바탕으로 세 개념에 대한 지도내용을 개발하여 실제 수업에 적용해보았고, 교육과정개정이나 교과서의 내용구성 변화에 대한 시사점을 발견하여 그 결과를 제언하였다.

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