• Title/Summary/Keyword: 통계 그래프

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An Analysis on Statistical Graphs in Elementary Textbooks of Other Subjects to Improve Teaching Graphs in Mathematics Education (타 교과 통계 그래프 분석을 통한 초등학교 수학 수업에서의 그래프 지도 개선 방안 탐색)

  • Lee, Hyeungkeun;Kim, Dong-Won;Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.119-141
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    • 2019
  • This study was carried out in order to draw some implications for teaching statistical graph in mathematics education with respect to practical statistics education for promoting students' statistical literacy. We analyze 133 graphs appearing in 99 elementary textbooks of other subjects (subjects except from mathematics) by subjects and types, and identify some cases of graphs addressed by other subjects. As a results, statistical graph was most addressed in social studies, and bar graphs, line graphs, tables, and circle graphs are most used in other subjects. Moreover, there are some issues related to contents-(1) the problem of curricular sequencing between mathematics and other subjects, (2) the level of addressing ratio graph, and (3) the use of wavy lines. In terms of forms, (1) the visual variation of graphical representations, (2) representation combining multiple graphs, and (2) graphs specialized for particular subjects are drawn as other issues. We suggest some implications to be considered when teaching the statistical graph in elementary mathematics classes.

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

  • Lee, Jung Jin;Lee, Tae Rim;Kang, Gunseog;Kim, Sungsoo;Park, Heon Jin;Lee, Yoon-Dong;Sim, Songyong
    • The Korean Journal of Applied Statistics
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    • v.27 no.3
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    • pp.487-500
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    • 2014
  • The elementary school curriculum includes some statistical concepts and many graphical methods. However, statistical concepts are difficult to understand; consequently, many of those graphs and numerical summaries are obtained by hand. We develop an intuitive statistics education package called Tong-Gramy focused on 5-8 graders to help students and teachers study statistics. This software covers numerical and graphical statistics that appear in 5-8 graders' textbooks. The graphs provided are dynamically linked to data and every graph is linked to every datum. The graphs of Tong-Gramy are dynamic graphs and morphing technology is used where applicable.

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.

Development of a R function for visualizing statistical information on Google static maps (구글 지도에 통계정보를 표현하기 위한 R 함수 개발)

  • Han, Kyung-Soo;Park, Se-Jin;Ahn, Jeong-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.5
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    • pp.971-981
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    • 2012
  • Google map has become one of the most recognized and comfortable means for providing statistical information of geographically referenced data. In this article, we introduce R functions to embed google map images on R interface and develop a function to represent statistical graphs such as bar graph, pie chart, and rectangle graph on a google map images.

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.

A graphical method for discriminant analysis when covariance matrices are unequal (공분산행렬이 서로 다를 경우 그래프에 의한 판별분석)

  • 김성주;정갑도
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.409-419
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    • 1993
  • This paper concerns graphical methods for discriminant analysis. We discuss Sammon's graph, MV graph and possibility of an alternative. The properties of the three graphs are investigated using real data and simulation studies. Dimensionality reduction for an alternative and robust procedure are discussed.

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An Analysis of Methods for Teaching Bar and Line Graphs in Elementary Mathematics Textbooks (초등 수학 교과서의 막대그래프와 꺾은선그래프 지도에 대한 분석)

  • Kim, Somin;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.259-276
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    • 2020
  • The purpose of this study was to identify how didactic transposition (teaching and learning methods) has occurred and developed in the teaching of graphs in elementary school mathematics textbooks for third and fourth graders according to the previous and current curricula. In this study, we analyzed the lesson units on bar graphs and line graphs in mathematics textbooks for each curriculum, from the fifth curriculum to the 2015 revised curriculum. We also investigated the implication of statistics education deriving from didactic transposition (teaching and learning methods). We found that the timing of teaching bar and line graphs was rarely changed as the curriculum has changed. In addition, the use of technology was not actively implemented in school statistics, although the curriculum emphasized the use of technology in statistical education. Lastly, the textbooks did not address the variability and distribution of data and the sample or sampling process, which are significant statistical concepts. Based on the findings of this study, we suggest how to teach statistical graphs and what to consider for the next mathematics textbook.

Concrete Class Plan for a Statistical Project of 5th Graders in Elementary School Using Infographics (인포그래픽을 활용한 초등학교 5학년 통계 프로젝트 수업의 구체화 방안)

  • Kim, Ji Hye;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.75-92
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    • 2019
  • The 2015 revised mathematics curriculum encourages students to use graphs in newspapers and the Internet as materials when teaching graphs, and to experience a series of statistical problem-solving processes that collect, classify, organize, graph and interpret data. The graphs that the students learn through traditional textbooks were a single type of graphs. In particular, the graphs of the 5th and 6th grade groups were only increased in numbers, but the basic concepts were repeated in the 3rd and 4th grades. Fortunately, from the 2009 revision curriculum, it is possible to select the graph suitable for the situation while comparing the characteristics of some graphs. In most cases, the graphs used in the real world are presented in the form of a compounded infographics. The purpose of this study is to analyze and analyze the manifestations of information processing competence elements emphasized in the 2015 revised curriculum through the statistical project class using the informal graphic in the fifth grade of elementary school. And we suggested a concrete class plan.

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Statistical Literacy of Fifth and Sixth Graders in Elementary School about the Beginning Inference from a Pictograph Task ('그림그래프에서 추론하기' 과제에서 나타나는 초등학교 5, 6학년 학생들의 통계적 소양)

  • Moon, Eunhye;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.22 no.3
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    • pp.149-166
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    • 2019
  • The purpose of this study is to analyze the statistical literacy in elementary school students when they beginning inference. Picto-graphs provide statistical information and often data-related arguments they certainly qualify as objects for interpretation, for critical evaluation, and for discussion or communication of the conclusions presented. For research, the inference from pictograph task was designed and statistical literacy standards for evaluating the student's level was presented based on prior studies. Evaluating student's statistical literacy is meaningful in that it can check their current level. To know the student's current level can help them achieve a higher level of performance. The outcomes of this research indicate that pictograph can provide a basis for rich tasks displaying not only student's counting skills but also their appreciation of variation and uncertainty in prediction. Raising statistical thinking by students is an important goal in statistical education, and the experience of informal statistical reasoning can help with formal statistical reasoning that will be learned later. Therefore, the task about the inference from a pictograph, discussions on statistical learning of elementary school children are expected to present meaningful implications for statistical education.

A Design of Class in the Statistics Learning (통계학습을 위한 클래스 설계)

  • Yoo, In-Cheol;Kim, Kap-Su
    • 한국정보교육학회:학술대회논문집
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    • 2005.08a
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    • pp.107-115
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    • 2005
  • 통계 학습에서 자바 애플릿의 활용은 통계간을 직관적으로 이해할 수 있어 학습의 효과를 높일 수 있다. 통계 영역의 그래프를 공부하는데 통계값의 의미를 눈으로 보면서 이해하고 직접 조작하며 학습을 하면 보다 능률적일 것이다. 이에 본 연구에서는 통계 영역의 교육과정을 분석하여 그래프 객체를 정의하고, 객체의 속성과 메소드를 분석하여 클래스를 구성한 후 클래스 사이의 관계를 파악하여 클래스 계층구조를 설계하였다.

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