• Title/Summary/Keyword: Probability and statistics curriculum

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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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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 s.115
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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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A Study on Probability and Statistics Education in Middle School's Mathematics Textbooks in Korea

  • Jang, Dae-Young;Park, Yong-Beom;Lee, Hey-Young
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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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.

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

  • Hwang, Suk-Geun;Yoon, Jeong-Ho
    • School Mathematics
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    • v.13 no.3
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    • pp.423-446
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    • 2011
  • In school mathematics, concepts of definite integral and integration by substitution have mathematical connection with introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. However, we have difficulty in finding mathematical connection between integration and continuous probability distribution in the curriculum manual, 13 kinds of 'Basic Calculus and Statistics' and 10 kinds of 'Integration and Statistics' authorized textbooks, and activity books applied to the revised curriculum. Therefore, the purpose of this study is to provide a teaching method connected with mathematical concepts of integral in regard to three concepts in continuous probability distribution chapter-introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. To find mathematical connection between these three concepts and integral, we analyze a survey of student, the revised curriculum manual, authorized textbooks, and activity books as well as 13 domestic and 22 international statistics (or probability) books. Developed teaching method was applied to actual classes after discussion with a professional group. Through these steps, we propose the result by making suggestions to revise curriculum or change the contents of textbook.

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Suggestions on the instructional activities relevant to the area of Probability and Statistics based on the result of TIMSS and PISA Items (국제성취도 평가에 기초한 중학교 확률과 통계 내용 관련 탐구 - PISA와 TIMSS 문항 분석을 중심으로 -)

  • Son, Bok-Eun;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.15 no.1
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    • pp.109-135
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    • 2012
  • In December of 2009, General Curriculum Revised in 2009 was announced and research on corresponding mathematics curriculum revision has been initiated from that period. Finally, in August 2011, Mathematics Curriculum Revised in 2009 was announced. In this new curriculum, Creativity is emphasized as the ability pursued in General Curriculum Revised in 2009. Accordingly, for the purpose of fostering students with creative and challenging minds, teaching and learning methods including the objectives and content should be more carefully implemented in math class. In case of the area of Probability and Statistics closely related to real life situations, it is suggested that school curriculum in mathematics would not deal with only mathematical problems on algorithm, but rather present teaching and learning materials related to the real life in order to recognize the usefulness of the content of Probability and Statistics and to learn how to think about it. In this paper, effective guidelines for teaching and learning the content of Probability and Statistics and its activities that follows the direction on Mathematics Curriculum Revised in 2009' are suggested based on the analysis of the PISA and TIMSS international assessments items. Thus, the guidelines suggested in this study would be used efficiently and appropriately for developing instructional materials or planning curriculum revision and setting its direction in the future.

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Comparisons of Probability and Statistics Education in Mathematics Textbooks in Korea High School

  • Lee, Sang-Bock
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.523-529
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    • 2004
  • In Korea, mathematics education has been changed according to the 7th national mathematics curriculum 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 and compare 3 kinds of mathematics textbooks for 10-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in textbooks and distributions of sample means with normal population assumption.

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A Study on Probability and Statistics Education In 1-10 Grade Mathematics Textbooks in Korea (제 7차 수학과 교육과정에 따른 1-10 단계 확률 및 통계단원 분석)

  • Jang Dae-Heung;Lee Hyo-Jeong
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.229-249
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    • 2005
  • In Korea, mathematics education of 1-10 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 1-10 grade mathematics textbooks and compare the 7th national mathematics curriculum with the 6th national mathematics curriculum.

A Study on 7th Probability and Statistics Education In Mathematics 1 Textbooks in Korea (수학 I 검정교과서 확률통계 영역에 대한 연구)

  • Lee Sang Bock;Sohn Joong-Kweon;Chung Sung Suck
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.197-210
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    • 2005
  • In Korea, mathematics education has been taken according to the 7th national mathematics curriculum 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 and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.

An Analysis of the Statistics Curricula for the High School in Korea and New Zealand (우리나라와 뉴질랜드의 고등학교 통계 교육과정 분석)

  • Shin, Woo Jin;Ko, Ho Kyoung;Noh, Jihwa
    • Journal of the Korean School Mathematics Society
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    • v.25 no.1
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    • pp.19-38
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    • 2022
  • This study aims to find ways to improve the statistics education policy in Korea for the future based on the results from examining the high school statistics curricula in Korea and New Zealand. The statistics curriculum in New Zealand was analyzed comparatively with the corresponding contents of the probability and statistics domain in the Korea 2015 revised national mathematics curriculum. The analysis centered around achievement goals and key ideas of each of the two curricula. This comparative analysis provides implications on finding a direction in line with the global trend in the curriculum for statistics education and ultimately for Korea's statistics education for the future.

Probability and statistics in public secondary school teacher employment exam (확률 및 통계와 교원임용시험)

  • Oh, Kwangsik
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1539-1545
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    • 2017
  • In this paper, we analyze and discuss the trend of the probability and statistics problems that have been made in the public secondary school teacher employment exam for mathematics teachers. In order to properly teach the national mathematics curriculum in 2015 in terms of content and function, we investigate the probability and statistics contents that a mathematics teachers should know. We also analyze the contents and trends of the items that have been submitted for 15 years in public secondary school teacher employment exam, and discuss the contents, scope, level and direction of the future contents. In conclusion, considering the significance of the Big Data in the 4th industrial revolution, the problems of statistical thinking of data and probability, exploratory data analysis, sample survey, and statistical inference are needed more.