• Title/Summary/Keyword: 수학/통계 내용분석

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A Curriculum Analysis with respect to Computer programming (컴퓨터프로그래밍과 관련된 교과목 내용분석)

  • Lee, Seung-Woo
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.69-80
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    • 2009
  • The computer programming is a useful tool to cultivate the logical thinking and encourage the problem solving competence. With the purpose of specifying the computer programming, this study mainly concerns with what the computer programming is in the Math/Stat education, and the role of the computer programming when it regards the problem solving procedure. This provides the possibility of Math/Stat major to be specified with the connection of IT related courses, and eventually the specified Math/Stat major enables more qualified graduates to be educated.

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Analysis of the Secondary Pre-service Mathematics Teachers' Mathematical Knowledge for Teaching(MKT): Focused on Normal Distribution (중등 예비 수학교사들의 수학교수지식(MKT)분석: 정규분포를 중심으로)

  • Hwang, Hye Jeang;Chae, Joon Hwan
    • Journal of the Korean School Mathematics Society
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    • v.23 no.4
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    • pp.427-448
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    • 2020
  • The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the pre-service mathematics teachers on the normal distribution through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 24 secondary pre-service mathematics teachers, in this study the test items of the MKT on the normal distribution were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) of the preparatory mathematics teacher was confirmed as a high score, whereas the SCK(Specialized Content Knowledge) and KCS(Knowledge of Content and Students) were confirmed as low scores. In addition, through these results, it could be confirmed that the difference in MKT of preparatory mathematicians occurred.

Partial Quantification in Factor Analysis (인자분석에 의한 부분수량화)

  • 서혜선
    • The Korean Journal of Applied Statistics
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    • v.12 no.1
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    • pp.165-173
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    • 1999
  • 사회과학분야에서 인자분석을 실시하는 경우 제1인자의 사전정의는 연구대상분야에서의 확립된 지식 또는 전제에 의해 나온다. 예컨대 고등학교 학생들을 대상으로 국어, 영어, 수학, 사회, 과학 등의 과목성적을 측정하여 인자분석을 하는 경우 사전적으로 제 1인자를 이 과목들의 단순평균에 의해 생성되는 일반지능으로 정의하는 것이 자연스럽다. 즉 다양한 사회과학분야에서 인지분석을 행함에 있어 선행 연구나 연구자의 사전지식 또는 가설 등에 의해 제1인자를 전제하는 경우 후속되는 나머지 인자를 자료에서 찾아냄으로써 인자분석을 완성하고자 하는 것이 본 연구의 기본 내용이다.

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Analysis of Mathematics Textbooks Before and After the Curriculum Revision in 2012 of the North Korea : Focused on the 1st Grade of Middle School (북한의 2012년 교육과정 개정 전후 수학교과서 분석 : 초급중학교 1학년을 중심으로)

  • Jung, Hye Yun;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.18 no.1
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    • pp.143-157
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    • 2016
  • North Korea had been reorganized its educational curriculum and new contexts were authored in 2013. In this study, mathematics contexts of North Korean secondary school's first grade in 2009 and 2013 were investigated. And the changes of content structure, content development, and content composition were analyzed. Results were as follows: First, with respect to the content structure, 1 chapter decreased, while lesson number was intact and 4 subunits increased. Second, with respect to the content development, considerable changes were presented. The tendencies that encouraged student and pursued a student friendly form were investigated. Third, with respect to the content composition, obvious changes were presented. It was investigated that the ratio of numbers and number operations, letters and expressions decreased nearly half. And new contents were supplemented in the areas of patterns, geometry, functions, probability and statics, equation of figures, set and statement. This changes suggests that differences between contexts of South and North Korea is narrowing compared to the past. In conclusion, the direction of North Korean mathematical education is changing for the general direction of South Korean mathematical education.

An Analysis on Teaching of Data Collection in Elementary School Mathematics Textbooks for 3rd and 4th Grades from the Perspective of Statistical Problem Solving Education (통계적 문제해결 교육의 관점에 따른 초등학교 수학 교과서의 자료 수집 지도 방식 분석: 3~4학년군을 중심으로)

  • Tak, Byungjoo;Ko, Eun-Sung
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.329-341
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    • 2022
  • Data collection is crucial to the process of statistical problem solving since it influences the quality of statistical data. However, there is little instruction on data collection in the Korean mathematics curriculum. In this study, we examined how the data were collected and how the data collection method was taught in the Korean mathematics textbooks for 3rd and 4th grades. As a result, the data appeared in these textbooks were collected by using a variety of methods, including surveys, experiments, observations, and secondary data collections. There were not enough instructions on experiments and observations, compared to surveys and secondary data collection. Additionally, as each textbook works with a distinct contents while teaching data collection, it is expected that there would be variations in the levels that students learn in relation to data collection. Based on these findings, we draw some discussion points to determine how to improve the mathematics curriculum in order to effectively teach data collection in the elementary school.

A Study on the Frames of Statistical Graphs in the Elementary School Mathematics Textbooks (초등학교 수학 교과서에서 통계 그래프의 틀에 대한 교육적 고찰)

  • Tak, Byungjoo
    • Education of Primary School Mathematics
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    • v.23 no.4
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    • pp.157-173
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    • 2020
  • Although there are various form of statistical graphs in the real world, the statistical graphs in elementary mathematics textbooks are very formalized by the pedagogical constraints. In this study, I examine the frames of statistical graphs and their educational importance, and analyze the frames in Korean, Australian, and MiC textbooks. As a result, the frames of statistical graphs in elementary mathematics textbooks (1) draws students' attention to the components of the graphs, (2) plays a supplementary role in students' drawing graphs by hands, and (3) helps to apply school mathematics to statistical problem solving in real life. The frames of statistical graphs in Korean textbooks is the form of tables focusing on (1) and (2), but these of MiC textbooks has various forms focusing on (3). On the other hand, Austalian textbooks introduced the table-form frames of statistical graphs at the lower graders, but gradually changed to the axis-form frames as the grade level increased. Based on this, a recommendation was drawn on how to deal with the frames of statistical graphs in elementary mathematics textbooks.

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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An Analysis on Error Types of Graphs for Statistical Literacy Education: Ethical Problems at Data Analysis in the Statistical Problem Solving (통계적 소양 교육을 위한 그래프 오류 유형 분석: 자료 분석 단계에서의 통계 윤리 문제)

  • Tak, Byungjoo;Kim, Dabin
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.1-30
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    • 2020
  • This study was carried out in order to identify the error types of statistical graphs for statistical literacy education. We analyze the meaning of using graphs in statistical problem solving, and identify categories, frequencies, and contexts as the components of statistical graphs. Error types of representing categories and frequencies make statistics consumers see incorrect distributions of data by subjective point of view of statistics producers and visual illusion. Error types of providing contexts hinder the interpretation of statistical information by concealing or twisting the contexts of data. Moreover, the findings show that tasks provide standardized frame already for drawing graphs in order to avoid errors and pay attention to the process of drawing the graph rather than statistical literacy for analyzing data. We suggest some implications about statistical literacy education, ethical problems, and knowledge for teaching to be considered when teaching the statistical graph in elementary mathematics classes.

The Study on Using Spreadsheet in Probability and Statistics Area of High School (고등학교 확률 통계 영역에서 스프레드시트 활용에 대한 연구)

  • Lee, Jong-Hak
    • School Mathematics
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    • v.13 no.3
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    • pp.363-384
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    • 2011
  • This study is based on the recognition that the school mathematics education should reinforce the heuristic and constructional aspects related with discoveries of mathematical rules and understanding of mathematical concepts from real world situations as well as the deductive and formal aspects emphasizing on mathematical contents precisely. The 11th grade students of one class from a city high school with average were chosen. They were given time to learn various functions of Excel in regular classes of "Information Society and Computer" subject. They don't have difficulty using cells, mathematical functions and statistical functions in spreadsheet. Experiment was performed for six weeks and there were two hours of classes in a week. Considering the results of this research, teaching materials using spreadsheets play an important role in helping students to experience probabilistic and statistical reasoning and construct mathematical thinking. This implies that teaching materials using spreadsheet provide students with an opportunity to interact with probabilistic and statistical situations by adopting engineering which can encourage students to observe and experience various aspects of real world in authentic situations.

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A Study of Development and Implementation of Teaching-Learning Materials for Integrated Education of Mathematics and Biological Science - Focused on Probability in Calculus and Basic Statistics Curriculum - (수학과 생명과학 통합 교수-학습 자료 개발 및 적용 -미적분과 통계 기본의 확률의 뜻과 활용 단원을 중심으로-)

  • Shin, Bo Mi;Ju, Eun Hwa
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.629-656
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    • 2014
  • This study developed teaching and learning materials for an integrated education program of probability and genetics in the light of connections between mathematics and biological science. It also analysed characteristics of high school students' mathematical activities which appeared while the students took part in lessons where the developed materials were contributed in order to teach them. To achieve the aim, this study firstly specified five details for the development of the materials based on the results of previous research and extracted contents of probability and genetics which had the possibility of being taught in the integrated education program by examining the text books. After embodying the teaching materials according to the five details and the extracted contents, the researchers implemented 10 lessons by using the materials. This study elaborated some implications for a succeeding integrated education of mathematics and biological science in term of anlaysis results of features from the students' mathematical understanding and attitudes emerging in the lessons.

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