• Title/Summary/Keyword: 확률.통계 교육

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A comparative analysis of the 2009-revised curriculum and 2015-revised curriculum on the definition and introduction of continuous probability distribution (연속확률분포의 정의와 도입 방법에 대한 2009개정 교육과정과 2015개정 교육과정의 비교 분석 연구)

  • Heo, Nam Gu
    • The Mathematical Education
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    • v.58 no.4
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    • pp.531-543
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    • 2019
  • Continuous probability distribution was one of the mathematics concept that students had difficulty. This study analyzed the definition and introduction of the continuous probability distribution under the 2009-revised curriculum and 2015-revised curriculum. In this study, the following subjects were studied. Firstly, definitions of continuous probability variable in 'Probability and Statistics' textbook developed under the 2009-revised curriculum and 2015-revised curriculum were analyzed. Secondly, introductions of continuous probability distribution in 'Probability and Statistics' textbook developed under the 2009-revised curriculum and 2015-revised curriculum were analyzed. The results of this study were as follows. First, 8 textbooks under the 2009-revised curriculum defined the continuous probability variable as probability variable with all the real values within a range or an interval. And 1 textbook under the 2009-revised curriculum defined the continuous probability variable as probability variable when the set of its value is uncountable. But all textbooks under the 2015-revised curriculum defined the continuous probability variable as probability variable with all the real values within a range. Second, 4 textbooks under the 2009-revised curriculum and 4 textbooks under 2015-revised curriculum introduced a continuous random distribution using an uniformly distribution. And 5 textbooks under the 2009-revised curriculum and 5 textbooks under the 2015-revised curriculum introduced a continuous random distribution using a relative frequency density.

가족배경이 청소년의 교육성취에 미치는 영향 - 가족구조와 가족소득, 빈곤의 영향을 중심으로 -

  • Gu, In-Hoe
    • 한국사회복지학회:학술대회논문집
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    • 2003.10a
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    • pp.473-497
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    • 2003
  • 본 연구는 한국노동패널 1998-2001 자료를 이용하여 성장기에 경험한 가족구조와 저소득, 빈곤 등의 가족배경이 청소년의 교육성취 미치는 영향을 분석하였다. 가족구조와 가족소득, 빈곤의 영향을 각각 분석한 결과 각 변수는 청소년의 학력연수와 대학입학확률, 진학고교유형과 통계적으로 유의미한 관계를 보였다. 19세의 학력연수와 대학진학확률의 경우 이혼 별거가족의 청소년과 한부모가족을 장기적으로 경험한 청소년, 빈곤가족의 청소년은 특히 낮은 수준의 성취도를 보였다. 가족구조가 19세의 교육성취에 미치는 영향은 소득수준이나 빈곤을 통제한 후에도 지속되는 것으로 나타났다. 소득과 빈곤의 영향력 또한 가족구조가 모형에 포함된 후에도 큰 차이가 없었다. 반면에 16세의 진학고교유형에 대해서는 가족구조와 가족소득을 같이 모형에 포함하는 경우 가족구조의 영향은 일관되지 않고 빈곤의 영향 또한 사라진다. 가족구조와 빈곤의 상대적 영향력을 두 변수가 모두 통계적으로 유의한 영향을 미친 대학진학모형에서 비교한 결과 가족구조의 영향력이 큰 것으로 나타났다. 이러한 본 연구의 발견은 한부모가족과 빈곤가족에 대한 사회적 지원 대책이 청소년 교육성취 수준을 향상하는 데에 크게 기여할 수 있음을 시사한다.

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P-값을 이해하기 위한 멀티미디어 프로그램의 개발

  • 최숙희
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.807-816
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    • 1997
  • 통계학의 개념들을 직관적으로 이해시키기 위해 기존의 교재중심 강의교육에서 탈피하여 실제적인 실험을 중시하고 컴퓨터를 교육에 활용하는 방안에 국내외적으로 많은 관심이 쏠리고 있다. 본 연구에서는 통계학의 기초개념들을 쉽게 배울 수 있는 통계교육용 멀티미디어 프로그램개발의 한 단계로서 유의성검증시 필요한 p-값(유의확률)의 의미를 정확히 이해하고 적용할 수 있도록 하는 프로그램을 개발하였다. 다양한 상황을 소리, 컴퓨터그래픽, 애니메이션, 텍스트와 동영상을 통합한 멀티미디어 환경하에서 구현하여 피교육자가 흥미를 가지고 학습함으로써 단순한 계산결과가 아니라 원리와 과정을 알 수 있도록 구성하였다. 이 프로그램은 한글 windows 95가 설치된 개인용컴퓨터에서 사용할 수 있으며 internet을 통하여 web browser에서 직접 실행할 수 있다.

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Magic of Capital Letter; X

  • Lee, Won-U
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.223-225
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    • 2003
  • 통계학과를 졸업하는 학생들 중에는 50%이상이 통계학(기초)을 제대로 이해를 못하고 졸업하고 있다는 가설을 검증해본다면 그 결과는 무엇일까? 통계학을 조금 배워본 사람들은 물론이고 통계학과 졸업생들조차 통계학은 난해하기 짝이 없다고 평가를 한다면 이해를 돕는 교육이라기보다는 주입(강요)식 교육이기 때문은 아닌가? 여기서는 확률변수 X를 대문자로 쓰는 것에 유의하고, 소문자 x와 구분하여 사용함으로써 초보자들이 통계이론을 보다 쉽게 이해할 수 있도록 하자는 것이다.

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Teaching Methods for the Concept of Independent Event in the Probability by Verbal Form (구술형식을 이용한 확률의 독립사건의 개념 지도 방법)

  • Choi, Myeong-Sook
    • School Mathematics
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    • v.11 no.3
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    • pp.513-526
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    • 2009
  • The purpose of this paper intuitively shows the exact and logical explanation of Independent Event and Dependent Event. In actual classrooms, teachers have difficulty in describing the connection between those events and real life. Some teachers have wrong perceptions on the definition of those events. For example, they may not realize exactly what P(B A)=P(B) means and may not explain intuitively the original meaning of why it is independent event. Also they believe that Independent Event and Dependent Event do not always match with real life. This paper, therefore, tries to prove intuitively the exact meanings of those events in the Verbal Form with some examples and it proves that those events exactly match with real life. It is expected that this paper will greatly contribute to the improvement of probability education.

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수리통계학 교육에서 상호정보의 활용에 대한 연구

  • Jang, Dae-Heung
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.155-160
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    • 2005
  • 상호정보를 이용하면 두 확률변수 사이의 종속의 정도를 평가할 수 있는 측도를 제시할 수 있고 두 변수 사이의 상관관계를 나타내는 표본상관계수의 단점을 보완한 일반화상관계수를 정의할 수 있다.

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Effects of Project Based Material on Problem solving Ability and Attitude of Mathematically Gifted in Science High School - Focusing on Probability and Statistics - (주제탐구형 자료가 과학고 수학영재의 문제해결 및 태도에 미치는 효과 - 확률.통계 영역을 중심으로 -)

  • Lee, Jong-Hak
    • The Mathematical Education
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    • v.50 no.4
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    • pp.467-487
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    • 2011
  • The purpose of this study is to analyze of gifted students' improvement on mathematical attitude and problem-solving ability through project-based materials in science high school. For this study, research questions are established as follows. 1. Does the project-based materials-used instruction have a positive effect on improving problem-solving ability? 2. Does the project-based materials-used instruction have a positive effect on improving mathematical attitude? To solve these research questions, this study employed a survey and interview type investigation for gifted students' mathematical attitude and problem-solving ability. A subject of classes were randomly selected among the 11th grader in D science high school and designated one class as the experimental group and the other class as the control group. Twelve hours of the project-based materials-used instruction and the traditional textbook-oriented instruction had been carried out in each class. Findings on this study are as follows: First, the project-based material-used instruction is shown to be more effective in enhancing problem-solving ability than the traditional textbook-oriented instruction. Second, the project-based material-used instruction is shown to be more effective in improving mathematical attitude than the traditional textbook-oriented instruction.

Exploring the Direction of Middle School Statistics Education through a Comparison of Statistical Content between China & Korea: Focused on the Revised 2022 Mathematics Curriculum (중국의 중학교 통계 교육과정 분석을 통한 통계교육 방안 탐색: 2022 개정 수학과 교육과정을 중심으로)

  • Suh, Boeuk;Rim, Haemee
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.329-348
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    • 2023
  • This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

A Study on School Statistics and Statistical Literacy of 6th Graders in the Elementary School (초등 6학년의 학교 통계와 통계적 소양에 대한 연구)

  • Im, Dami;Park, Younghee
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.2
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    • pp.391-414
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    • 2017
  • The purpose of this study is to find the correlation between the level of 6th graders' achievement level in Probability and Statistics education, which were proposed in the curriculum, which targeted the 6th graders in the elementary school, and statistical literacy. For this, first, questions asking the achievement level in the probability and statistics(Part A), and questions asking the statistical literacy(Part B), were used to study the achievement level of the students. Second, the achievement level in the probability and statistics, and the statistical literacy were measured. In order to achieve the purpose of this study, questionnaire that consists of 10 questions was invented. The questionnaire was divided into Part 1 and Part 2 under the consideration upon the characteristics of the questions. The results of the questionnaires given to the students were classified into "high, medium, and low" and were separated into 7 categories. Results of comparing category 3 and category 6, which have shown opposing tendencies, we could find that students who are good at school mathematics and students with high statistical literacy have respective and different characteristics. For actually effective statistical education, consideration upon and reflection of core aspects such as intuition and critical thinking in the curriculum are needed.

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The Impact of Children's Education Level on Intergenerational Income Persistence (자녀의 학력이 부자간 소득계층 대물림에 미치는 영향)

  • Lee, Jin Young
    • Journal of Labour Economics
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    • v.40 no.3
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    • pp.1-28
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    • 2017
  • Using Korea Labor and Income Panel Surveys data, this paper estimates the effect of schooling level on income over time and the effect of children's education level on intergenerational income persistence. The results show that the impact of education level on income decreased over time. Also, intergenerational income persistence, measured as a dummy variable that has value one if children's income percentile group is same as the father's, increased with children's educational attainment only when the father is in upper income percentile groups. These findings indicate that education fails to play a significant role of the economic ladder and does not much help in raising intergenerational income mobility. Rather, education may possibly function as a means of intergenerational transmission of wealth through parental investment in their children's private education.

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