• Title, Summary, Keyword: probability and statistics

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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

  • 이강섭
    • The Mathematical Education
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    • v.42 no.4
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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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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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    • v.11 no.2
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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.

A Trend Analysis on the Educational Research of the Probability and Statistics - Focused on Papers Published in , the Journal of Korea Society of Mathematical Education - (확률.통계 연구에 대한 수학교육학적 고찰 -<수학교육>에 게재된 논문을 중심으로-)

  • 이영하;심효정
    • The Mathematical Education
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    • v.42 no.2
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    • pp.203-218
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    • 2003
  • The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected papers on probability and statistics published in (Series A), the Journal of Korea Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when papers on probability and statistics published in (Series A) are classified into low categories; contents of probability and statistics education, research method of the mathematics education, methods of teaming and teaching, and finally measurements and evaluation\ulcorner We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching, and of the measurement and evaluation. The other is reined to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and papers on the curricular contents in 1980s were influenced by 'back to basic'. In 1990s, papers on methods of learning and teaching, and measurement md evaluation were increasing in number. Besides, (series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of Loaming and teaching, and measurement and evaluation. And when I examined the papers on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, 1 found that those papers occupy 1.84% in . When it comes to the methods of loaming and teaching, most of studies in (series A) are about application of concrete implement like experiment and practical application of computer programs, Through this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of loaming and teaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. (series A) does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematical psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn't exist a proper method of study adequate in the situation for the mathematics education the issue of mathematics pedagogy might be taken its own place by that of other studies'. We must search for the unique method of study fur mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.

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A Statistical Analysis on the Contents on Probability and Statistics in 1-6 Grade Mathematics Textbooks in Korea (제 7차 1-6단계 수학과 교육과정 상의 확률과 통계영역 교과서에 대한 통계적 분석)

  • Jang, Dae-Heung
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.361-384
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    • 2007
  • In Korea, mathematics education of 1-6 grade students has been taken according to the 7th national mathematics curriculum, which was renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and statistics has been carried out as a part of this curriculum. We analyze the contents of probability and statistics in 1-6 grade mathematics textbooks and propose the solutions about the problems on the contents of probability and statistics.

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A Study on Analysis through the Probability and Statistics of the Curriculum and Text book in Elementary, Middle and High School (초.중.고교 확률.통계의 효율적인 지도에 관한 연구)

  • 오후진;유병대
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.59-67
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    • 1998
  • Probability and statistics is an important section in mathematics which is deeply related to everyday living, natural science and social science. In spite of its importance, many students will throw away it because it becomes very harder as its step(stage) deepens and probability and statistics' relative importance is very small in Korea-SAT(the test of college entrance in Korea). Therefore, by analyzing the involvement carefully between the curriculum in the elementary, middle, high school and the text book, by studying the problem and improvement direction, it is necessary to investigate an effective teaching method. This study intends to give the students the confidence, interests, and accomplishment motive about probability and statistics field and to make a rational and creative decision-making through mathematical speculation by proposing an effective teaching method through analyzing an existing facts in school's probability and statistics field. The contents of this study are composed of four chapters. Chapter three looks into the mathematical curriculum in the elementary, middle, high school and its teaching meaning, the outline of contents, some tips on teaching and problems and presents an effective and concrete teaching method on the basis of the theoretical background in the chapter two. Chapter four is a conclusive part and gives the general improvement and intentional direction in educating the probability and statistics.

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An empirical study on the perception of probability and statistics: With focus on S/W and H/W majors (소프트웨어와 하드웨어 전공자들의 확률 및 통계 교과목 인식에 관한 실증적 고찰)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.651-660
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    • 2011
  • This study aims at improving teaching and learning abilities on the courses of probability/statistics in the fields of the S/W and H/W. In order to do this, this paper firstly conducts a survey which measures the perception of the surveyees' necessity of the related courses, and includes the contents that the related courses should cover. Secondly, this paper analyzes the educational effect on the achievement by studying Pattern Recognition, a major course of S/W and H/W, with combining probability/statistics or data analysis. Lastly, this paper suggests the promising pedagogical method for educating probability/statistics by using a survey and the case studies. In this way, this paper shows the necessity of probability/statistics for acquiring a new technology and the flexible approach of various subjects.

Effective education plan of probability and statistics in the H/W curriculum (하드웨어 교과과정에서 효과적인 확률 및 통계 교육방안)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.869-880
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    • 2014
  • This study aims at presenting the educational model for the effective application of probability and statistics to the H/W curriculum. In order to do this, this paper conducts a survey with H/W major college students, and then analyzes how probability and statistics can be correlated with other H/W core subjects and how the knowledge of probability and statistics can affect the understanding of H/W majors through the actual class experiment. Consequently this study suggests probability and statistics as a prerequisite subject in the H/W curriculum.

A Study on Probability and Statistics Education in High School

  • Kang, Suk-Bok;Choi, Hui-Taeg
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.379-385
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    • 2006
  • In this paper, the probability and statistics education of the 7th high school curriculum is studied. We analyze each unit of probability and statistics in high school textbooks $\ulcorner$Mathematics 10-GA$\lrcorner$, $\ulcorner$Mathematics I$\lrcorner$, and $\ulcorner$Practical Mathematics$\lrcorner$, and then research the percentage for the unit of probability and statistics for all textbooks. We also investigate the proportion for the number of students who select each subject of mathematics of the national academic aptitude tests for university admission in 2005 and 2006.

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ON CHARACTERIZING THE GAMMA AND THE BETA q-DISTRIBUTIONS

  • Boutouria, Imen;Bouzida, Imed;Masmoudi, Afif
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1563-1575
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    • 2018
  • In this paper, our central focus is upon gamma and beta q-distributions from a probabilistic viewpoint. The gamma and the beta q-distributions are characterized by investing the nature of the joint q-probability density function through the q-independence property and the q-Laplace transform.