• Communications of Mathematical Education
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• v.29 no.4
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• pp.687-698
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• 2015

This research is based on Jungian psychology. The founder psychoanalysist Jung introduced the notion of unconsciousness. This researcher made Mandala figures as an intermediary between consciousness and unconsciousness, and then took Mandala figures a research starting point. Until now, Mandala has been used therapy tool for emotional stability. But, this researcher tried Mandala coloring to develope cognitive and emotional abilities for early childhood. This paper is a result of experiment to recognize geometric and spacial conceptions for early childhood.

• Education of Primary School Mathematics
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• v.26 no.4
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• pp.237-255
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• 2023

At a time when the textbooks publishing system is changing from government-administered to certified, it is necessary to analyze textbooks published in both systems. This study analyzed one government textbook and three certified textbooks on quadrilaterals based on the instructional components that must be taught in the area of 2-D shapes. As a result of the analysis, it was found that concept exploration was implemented appropriately, but classification activities were not presented in some lessons. In Defining Concepts, the definition of the concept was presented appropriately, but there were differences depending on the textbooks. In addition, it was found that there was little activity in talking about the components of shapes or shapes. In applying concepts, more diverse activities were presented in certified textbooks than in government textbooks. Knowing relationships are rarely presented in textbooks due to its influence on the curriculum. Based on the results of this analysis of quadrilaterals, this study provides textbook writers with implications on what to further consider is dealing with quadrilaterals.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.305-322
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• 2010

The epistemological obstacles in the area learning of plane figure can be categorized into two types that is closely related to an attribute of measurement and is strongly connected with unit square. First, reasons for the obstacle related to an attribute of measurement are that 'area' is in conflict. with 'length' and the definition of 'plane figure' is not accordance with that of 'measurement'. Second, the causes of epistemological obstacles related to unit square are that unit square is not a basic unit to students and students have little understanding of the conception of the two dimensions. Thus, To overcome the obstacle related to an attribute of measurement, students must be able to distinguish between 'area' and 'length' through a variety of measurement activities. And, the definition of area needs to be redefined with the conception of measurement. Also, the textbook should make it possible to help students to induce the formula with the conception of 'array' and facilitate the application of formula in an integrated way. Meanwhile, To overcome obstacles related to unit square, authentic subject matter of real life and the various shapes of area need to be introduced in order for students to practice sufficient activities of each measure stage. Furthermore, teachers should seek for the pedagogical ways such as concrete manipulable activities to help them to grasp the continuous feature of the conception of area. Finally, it must be study on epistemological obstacles for good understanding. As present the cause and the teaching implication of epistemological obstacles through the research of epistemological obstacles, it must be solved.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Communications of Mathematical Education
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• v.11
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• pp.415-435
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• 2001

본 연구의 첫 번째 목적은 수학 교사가 가지고 있는 수학의 교수-학습에 대한 개념을 알아보고자 한 것이다. 두 번째 목적은 수학 교사의 수학 단원에 대한 선호도와 그 이유를 알아보고자 한 것이다. 세 번째 목적은 확률 개념과 통계 개념에 대한 교육적 지식을 알아보고자 한 것이다. 본 연구에서 나타난 결과에 의하면 수학 교사의 수학의 본질에 대한 개념은 문제해결적 관점보다 플라톤적 관점이 더 우세한 것으로 나타났다. 그리고 가장 좋아하는 단원으로 도형 부분을 가장 많이 꼽았으며 가장 싫어하는 단원으로 확률과 통계를 가장 많이 꼽았다. 또한 가르치기 가장 쉬운 단원으로 방정식과 부등식 부분을 가장 많이 꼽았으며 가르치기 가장 어려운 단원으로 도형 부분을 가장 많이 꼽은 것으로 나타났다.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.1-21
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• 2010

This paper analyzed the contents and instructional methods of various plane figures presented mainly in a series of elementary mathematics textbooks on the basis of the analysis of related contents in the 2007 revised national mathematics curriculum. As such, this paper provided detailed analyses of how textbooks would implement the vision and intention of the curriculum, how the definition of each plane figure in the textbooks might be different from its mathematical definition, and how textbooks would introduce each plane figure. It is expected that the issues and suggestions stemming from this analysis will be informative in designing new instructional materials.

• Education of Primary School Mathematics
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• v.1 no.1
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• pp.59-71
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• 1997

기하학적 사고력 개발이라는 우리의 목표는 궁극적으로 보다 낮은 수준의 학생들에게 보다 높은 수준으로 나아가게 하는 경험을 주는 것이다. 학생들이 보다 높은 수준에서 추론할 수 있도록 하기 위하여 그들이 보다 낮은 수준에서 충분하고 효율적인 학습 경험을 가져야 한다는 것이다. 예를 들면 분수에서 이루어지는 것처럼 기계적인 암기식으로 사물을 학습함으로써 수준(단계)을 뛰어 넘으려고 노력하면은 그들이 학습한 것에 관한 많은 것을 기억할 수 없을 것이다. 조작에 관한 보다 풍부한 경험과 시각적으로 입체감을 주는 설명을 들은 어린이들이 보다 훌륭한 공간 추론을 할 수 있을 것이라 믿는다. 본 고에서는 기하학적인 사고의 개발에 관한 van Hiele 모델이 초등학교에서 기하 수업의 토론을 위한 기초로서 사용되어졌다. 그 모델의 수준들이 묘사되었고 일반적으로 초등학교 아동들의 사고는 0수준과 1수준이라 는 것이 밝혀졌다. 단지 극소수의 아동들이 2수준의 사고에 도달해 있을 것이다. 그러나 만약 초등학교에서의 수업이 기하학적인 개념을 구성하는데 주안점을 둔다면 보다 많은 어린이들이 2 수준의 사고를 보여줄 수 있을 것으로 생각된다. 0 수준의 어린이들은 도형의 형태에 초점이 맞추어져있고 1 수준의 어린이들은 도형의 성질을 이해하는데 에 있다. 2 수준의 사고자는 도형의 포함관계를 이해하고 비공식적으로 추론 할 수 있다. 처음 세 수준에서의 활동들에 대한 지침이 주어져 있으며 0 수준과 1수준에 연관되는 다수의 활동들을 묘사했다. 0수준의 어린이들을 위해 묘사된 활동들은 그들이 2차원 및 3차원의 도형 둘 다를 시각화하는데 도움을 주는 것이다. 1 수준에서 사고하는 학습자들을 위해 묘사된 활동들은 2차원 및 3차원 도형의 성질들을 강조했다. 아울러 본 고에서 언급한 활동들은 상호교수에의 접근을 반영했다. 그러한 접근방식은 학습자들로 하여금 그들의 활동과 의견으로부터 개념을 구성하게 해주며 그들의 활동 결과에 대해 다른 사람들과 의사소통 함으로서 개념을 명확하게 다듬어지게 해줄 수 있을 것이다. 아울러 평가 활동들이 본고의 마지막 부분에 주어져있다. 그러한 활동들은 교사들에게 어린이들의 기하학적인 사고수준을 결정하게 해주며 학습자들로 하여금 수업시간 이외에 보다 높은 사고수준으로 나아가게 해줄 수 있을 것으로 기대된다.

• Journal of The Korean Association of Information Education
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• v.16 no.4
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• pp.451-462
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• 2012

In this study, our primary areas of mathematical shapes as a way to solve the problem of sixth grade math and geometry around the area in addition to the real world, the virtual objects to explore on their own learning, heuristic principles and learning concepts are developed. To this end, second-class sixth grade in Seoul class M is selected and the area of Augmented Reality class shapes students' academic achievement sure to affect how much agreed. experimental study was developed and then applied to the actual class content across pre and post implementation evaluation, and subsequent academic achievement levels were compared and analyzed. As a result, learners in the experimental group and control group than the class of interested students and class satisfaction, a statistically higher achievement. Learning on augmented reality, which shapes have the gumption to participate in classes, and concepts related to shape the formation and indicates that academic achievement is related.

• Proceedings of the Korea Contents Association Conference
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• 2017.05a
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• pp.73-74
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• 2017

기하학에서 도형에 대한 철학적 사유에 대해서 다양한 논의가 있었고 고대 그리스 철학자들도 점에 대한 다양한 정의가 있어 왔다. 데카르트의 좌표의 발견으로 도형은 좌표 상의 수식으로 표현이 가능하며 좌표에 대응 하는 수는 점으로 인식하게 되었다. 수가 도형으로 변환된 좌표계 상에서 점은 그 존재성을 어떻게 인식하게 할 것인가에 대한 고찰을 좌표계와 좌표계에 표현된 점과 그를 인식하는 관찰자의 의식의 속도 개념으로 설명하고자 한다.

• Journal of The Korean Association of Information Education
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• v.12 no.2
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• pp.141-149
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• 2008

Congruence of figure is a basic to learn a symmetrical figure and helps to understand the characteristics of figure and know the way of drawing figures. The knowledge of congruence provides us art attainments to understand design and fine pieces of art. However, it is difficult to expect the interaction between students or between teachers and students, because of spending too much time for cutting papers and making the shapes of figure during the class for establishing the concepts. This study utilized a question-based interaction model which would foster elementary school student's learning effectiveness and make them understood the concept of congruence, also developed a congruence learning system which could communicate in both synchronous and asynchronous situation.