• 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.

• Communications of Mathematical Education
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• v.15
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• pp.215-222
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• 2003

직교좌표의 중요성과 극좌표의 이용을 알리고, 포물선좌표의 정의와 타원좌표의 정의를 소개하고 또 타원좌표를 이용하여 그래프를 그려본다. 타원좌표를 이용한 그래프 그리기를 통해 수학에 대한 흥미와 즐거움을 학생들에게 느끼도록 한다. 다양한 좌표계를 이용한 그래프 그리기를 비교해보고 매개변수로 표현된 방정식의 그래프 그리기에 대해 여러 가지 좌표계에 대한 유용성을 알아본다. Mathematica를 이용하여 여러 가지 좌표계에서 관심있는 곡선의 방정식을 만들어보고 그래프를 그려보며 유용한 좌표계에 대해 알아본다.

• Communications of Mathematical Education
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• v.15
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• pp.99-104
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• 2003

본 연구에서는 초등학교 6학년 학생들이 쉽게 다가갈 수 있고, 수학적 사고력을 키울 수 있는 원 그래프의 수업안을 구상해 보았다. 즉, 학생들의 수학적 사고력을 키울 수 있고, 통합교과적인 원 그래프 단원의 수업안 제시를 통하여 수학 교과서의 새로운 모델을 제시하였다.

• 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.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.337-360
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• 2002

그래프 능력을 바탕으로 한 함수의 그래프 표현은 함수 교수 ${\cdot}$ 학습상 중요한 위치를 차지한다. 그러나 부적절한 함수 그래프 과제 교수 ${\cdot}$ 학습 방법은 학생들의 지식 구성, 이해 과정에 영향을 주면서 수학적 오류를 형성하게 하였다. 그러므로 체계적인 오류 분석을 기반으로 한 좋은 교수학적 프로그램을 통해 수학적 오류를 예견하고 학습 과정에서 그것을 잘 처치, 활용하는 것이 효과적인 함수 교수 ${\cdot}$ 학습을 위해 요구된다. 본 연구에서는 지필 환경하에서 함수 그래프 과제를 수행한 학생들에게서 일반적으로 나타나는 수학적 오류를 점검하고, 새로운 교육용 테크놀러지 환경하에서 이러한 수학적 오류가 변화되는 과정을 살펴보고자 하였다. 첫 번째 연구 문제를 위해 고등학생 119명을 대상으로 양적 연구를 실시하였으며, 함수에 대한 개념 이미지로부터의 오류가 가장 많이 나타났음을 확인할 수 있었다. 두 번째 연구문제를 위해 고등학생 2명을 대상으로 사례 연구를 실시하였는데, 그 결과 기존의 수학적 오류가 새로운 교수학적 환경하에서 변화, 극복되는 것을 확인할 수 있었다.

• School Mathematics
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• v.10 no.1
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• pp.43-61
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• 2008

This study is based on the pedagogical aspect that both connections of mathematical concepts and a geometric approach enhance the understanding of structures in school mathematics. This study is to investigate the graphical properties of quadratic functions such as symmetry, coordinates of vertex, intercepts and congruency through the geometric properties of graphs of linear functions. From this investigation this study would give suggestions on a new pedagogical perspective about current teaching and learning methods of quadratic function graphs which is focused on routine algebraic transformation of the completing squares. In addition, this study would provide the topic of quadratic function graphs with the understanding of geometric perspective.

• School Mathematics
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• v.19 no.1
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• pp.171-187
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• 2017

To engineering students, calculus is essential knowledges and skills as a mathematical model and give a perspective to observe phenomenon in the future industrial field. However, engineering students' calculus study tends to solve problems by only applying the mechanical calculation and mathematical results. This study aimed to make engineering students realize the importance of calculus and untypical problems, by suggesting problems that could apply the mathematical concepts and principles and even solve the actual conditions of the problems. Students conjectured the anti-derivative graphs by interpreting the given derivate problems. They showed errors in this process and the errors are contributed by their mathematics leaning styles. As a result, the task would be helpful to engineering students.

• Communications of Mathematical Education
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• v.11
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• pp.107-126
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• 2001

우리는 흔히 21C를 정보화 시대라고 하며 우리에게 주어지는 정보들 또한 일기예보와 같은 일상적인 분야에서 여론 조사와 같은 전문적인 분야에 이르기까지 아주 다양하다. 이런 정보들은 통계영역과 아주 밀접하며 이런 정보들을 통계적으로 바르게 해석하고 추론하여 일반화하는 등 일련의 과정들을 요구한다. 이런 상황아래 본 연구에서는 6차 초등학교 수학 교과서에서 여러 통계학 영역 중 그래프 형태로 가장 먼저 도입되는 막대그래프에 중점을 두어 현행 교과서에서 학습 내용과 학습 과정의 문제점에는 어떤 것이 있으며 아울러 그래프 이해력에 필요한 요소나 인지적 사고 능력, 그래프 이해력의 수준을 알아보고, 이를 바탕으로 여러 문헌을 통해 본 연구자가 나름대로 구안한 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정을 실험반에 적용한 후 그래프 이해력 사전 ${\cdot}$ 사후 검사를 비교함으로써 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정이 그래프 이해력에 어떠한 영향을 미치는지 알아보고자 한다.

• School Mathematics
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• v.17 no.1
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• pp.65-78
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• 2015

This study has analyzed the effect of graph activity using CBR on the graphic ability through the observation on the 4 math-gifted 5th grade students. The study had designed the graph activity class using CBR based on the theories of graph and progressed it twice for 40 minutes, respectably. The recorded videos of the classes and the interviews of students were collected for analyzing the data, and 2 weeks later, post inspection using the same questionnaire was held for the comparative analysis on the errors that the students had made in the interpretation of the graph. According to the results of this study, the students were able to understand the flow change of the graph, interpret the relationship between variables, and contextualize the dependent variables.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.2
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• pp.247-272
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• 2019

The purpose of this study is to analyze the teaching of statistical graphs according to elementary mathematics curriculum. To do this, we set up three research questions as follows. First, what is the change in achievement standards related to the teaching of statistical graphs in elementary mathematics curriculum? Second, what is the change in the teaching of the drawing of statistical graphs in elementary mathematics curriculum? Third, what is the change in the teaching of understanding of statistical graphs in elementary mathematics curriculum? For the first research question, we analyzed the achievement standards related to the teaching of the statistics of the 2015 revised curriculum from the first curriculum. For the second research question, we analyzed how to provide students with the opportunity to draw graphs(number of drawings) and whether to present the basic frame of the graphs(frame provided). For the third research question, we analyzed questions in the textbooks based on the graph understanding; 'reading data', 'finding the relation between data', 'interpreting data', 'understanding the situation'. As a result of the analysis, the achievement standard in the curriculum has changed in the direction of fostering statistical thinking, and it has been changed to emphasize the interpretation of the graph so as to make the graph drawing easy. However, 'interpreting data' and 'understanding the situation' were still lacking.