• East Asian mathematical journal
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• 제39권2호
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• pp.167-181
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• 2023

The purpose of this study is to confirm the possibility of whether learning using a math learning platform can be used to expand students' conceptual structure and to consider how to use it. To this end, first-year middle school students studied using a math learning platform. Then, the concept map created was compared and analyzed with the concept map created before learning to examine the change in the concept structure. The results of analyzing the concept map are as follows. First, the change in the hierarchical structure of the concept appeared as the division of the upper concept was subdivided. However, it has also been changed to comprehensively integrate and simplify higher concepts. The term-centered concept structure has changed to content-centered superordinate and subordinate concepts. In the concept structure, subordinate concepts linked to one higher concept were expanded and differentiated. Second, changes in the integrated structure did not form a linkage structure. The expansion of the integrated structure of concepts through learning using the learning platform was influenced by the composition of the learning contents designed in the learning platform.

• 대한수학교육학회지:학교수학
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• 제6권4호
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• pp.325-344
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• 2004

본 연구에서는 개념의 조직화, 사고의 창의가 가능한 마인드맵 노트활동이 수학 학습에 미치는 영향을 알아보기 위해서 마인드맵 노트활동을 적용한 수업방식과 기존의 교사주도식 수업방식에서의 수학개념구조 형성과 수학적 창의력에 대한 효과를 분석하였다. 중학교 3학년 학생을 대상으로 약 3개월 동안 31차시의 마인드맵 노트활동을 적용하여 수업을 한 후, 수학개념구조 검사지와 수학적 창의력 검사지, 그리고 면담자료로 평가한 결과는 다음과 같다. 첫째, 마인드맵을 활용한 수업방식이 기존의 교사주도식 수업방식에 비해 학습자의 개념구조형성 신장에 효과가 있는 것으로 나타났다. 둘째, 마인드맵을 활용한 수업이 기존의 교사주도식 수업에 비해 학습자의 수학적 창의력 신장에 효과가 있는 것으로 나타났고, 특히 수학적 창의력의 하위 요소 중 유창성과 응통성 신장에 효과가 있었다. 따라서 수학 개념구조 형성과 수학적 창의력 신장을 위해서 학교수업에서 마인드맵 노트활동의 도입을 제언한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권1호
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• pp.11-18
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• 2003

One of the terms that are most often used in mathematics classrooms by either teachers or students might be about 'understanding' of mathematical concepts. Although 'understanding' in mathematics teaching and learning has been highly emphasized by many people, there is no exact and undebatable definition of 'understanding' as of yet. This paper tries to contribute to unfolding the meaning and the structure of understanding in mathematics education along with various literature and finally enhance our understanding of 'understanding' in mathematics education.

• 한국수학교육학회지시리즈A:수학교육
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• 제53권1호
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• pp.57-73
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• 2014

This study investigated the connections of mathematical thinking of students at the second, fourth, and sixth grades with regard to multiplication, fraction, and proportion, all of which have multiplicative structures. A paper-and-pencil test and subsequent interviews were conducted. The results showed that mathematical thinking including vertical thinking and relational thinking was commonly involved in multiplication, fraction, and proportion. On one hand, the insufficient understanding of preceding concepts had negative impact on learning subsequent concepts. On the other hand, learning the succeeding concepts helped students solve the problems related to the preceding concepts. By analyzing the connections between the preceding concepts and the succeeding concepts, this study provides instructional implications of teaching multiplication, fraction, and proportion.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제36권3호
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• pp.397-415
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• 2022

본 연구의 목적은 학생들의 흥미와 동기를 유발할 수 있는 수학적 은유를 활용하여 수업 참여에 도움을 줄 수 있는 교사의 담론 구조를 분석하는 것이다. 이러한 목적 달성을 위해 학생들의 경험과 수학적 개념을 연결하여 설명하는 교수법을 실행하는 경력 교사의 한 학기 수업을 관찰하였다. 연구 대상 교사가 한 학기 동안 수학적 개념과 문제 해결 과정에서 다양하게 활용한 은유 중에서, 일상생활과 수학적 내용을 단순히 연결하는 상황을 제외하고 은유를 활용하는 교수법 개발에 도움을 줄 수 있는 대표적인 수업 사례 2개 차시를 추출하였다. 대표적으로 선택된 2개 차시 수업은 은유를 활용하는 수업 사례 1개 차시와 은유를 활용하고 문제를 확장·적용하는 수업 사례 1개 차시이다. 분석 결과 학생들과의 소통을 기반으로 수학적 은유를 활용하는 교사의 담론 구조는 수학 교육회복을 위한 교수법 개발에 시사점을 제공할 수 있을 것이다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제7권1호
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• pp.43-56
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• 2003

In late 19C, German mathematician Felix Klein declaired "Erlangen program" to reform mathematics education in Germany. The main ideas of "Erlangen program" contain the importance of instructing the concepts of functions and groups in school mathematics. After one century from that time, the importance of concepts of groups revived by Bourbaki in the sense of the algebraic structure which is the most important structure among three structures of mathematics - algebraic structure. ordered structure and topological structure. Since then, many mathematicians and mathematics educators devoted to work with the concepts of group for school mathematics. This movement landed on Korea in 21C, and now, the concepts of groups appeared in element mathematics text as plane rigid motion. In this paper, we state the rigid motions centered the symmetry - an important notion in group theory, then summarize the results obtained from some classroom activities. After that, we discuss the responses of children to concepts of groups.of groups.

• 대한수학회보
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• 제34권2호
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• pp.211-223
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• 1997

Lehmann [13] introduced the concept of positive(negative) dependence together with some other dependence concepts. Since then, a great numerous multivariate inequalities have been obtained. For a references of available results, see Karlin and Rinott [12], Ebrahimi and Ghosh [8] and Sampson [14]. Whereas a number of dependence notions exist for multivariate processes (see Friday [10]), recently, Ebrahimi [7] introduced some new dependence concepts of the hitting times of stochastic processes.

• Korean Journal of Mathematics
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• 제13권2호
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• pp.223-234
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• 2005

We introduce the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and obtain some of their structural properties. We also introduce the concepts of several types of quasi-smooth ${\alpha}$- compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and investigate some of their properties.

• 대한수학회논문집
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• 제19권1호
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• pp.143-153
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• 2004

In [3] and [6] the concepts of smooth closure, smooth interior, smooth ${\alpha}-closure$ and smooth ${\alpha}-interior$ of a fuzzy set were introduced and some of their properties were obtained. In this paper, we introduce the concepts of several types of weak smooth compactness and weak smooth ${\alpha}-compactness$ in terms of these concepts introduced in [3] and [61 and investigate some of their properties.

• 한국수학교육학회지시리즈A:수학교육
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• 제53권3호
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• pp.329-355
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• 2014

The purpose of this study is to understand the difference of cognitive structure depending on the level of the 6th graders' problem-solving abilities about the division of fraction and to propose a method for improving the 6th graders' understanding about the division of fraction through the word association test. The following is the findings from this study. 1)The lower level students' is, the lower the step that the chunk appeared in cognitive structure is. 2)The basic level students' association frequency between any two concepts was less than the excellent level students and the ordinary level students' it. 3)The basic level students' connection number between concepts was far less than the excellent level students and the ordinary level students' it. 4)The connection between natural number and unit fractions, subtraction of fraction and division of fraction, division of fraction and reduction to common denominator, and division of fraction and common multiple that expected in this study did not appear in the three groups.