• 한국수학교육학회지시리즈E:수학교육논문집
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• 제32권1호
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• pp.37-57
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• 2018

수학교육에서 Concept Map(개념그림)을 활용하기 시작한 초기에는 Concept Map이라는 그림 안에 수학적 아이디어를 어떻게 표상할 수 있느냐에 초점이 맞추어져 있었다. 하지만, 최근 연구에 따르면 Concept Map이 문제해결력과 밀접한 관련이 있다. 구체적으로 Concept Map은 학생들 사이의 협력적 문제해결의 도구, 문제를 탐구하기 위한 도구, 문제의 구조를 소개하기 위한 도구, 지식의 체계를 개발하고 체계화하는 도구 등으로 사용될 수 있다. 이에 본 연구에서는 Concept Map에 대한 선행연구 분석을 기반으로 Concept Map을 활용한 수학 문제의 구조 분석에 집중하였다. 그 결과 수학 문제 구조 분석을 위한 Concept Map의 활용 방법을 개발하였고, 개발된 자료를 적용하여 실제 수학 문제 분석에 적용함으로써 그 실현 가능성을 확인하였다. 본 연구 결과를 통해 수학 문제 구조의 파악, 수학과 교육과정 및 교과서와 일관성 있는 문제의 개발, 수학 문제의 난이도 분석 등에 효과적으로 활용될 것으로 기대된다.

• Educational Technology International
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• 제17권2호
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• pp.253-271
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• 2016

This study investigated the effect of generative concept maps according to learning achievements and cognitive load. A total of 78 students in the first grade of middle school participated in this study. Before the experimental treatment was implemented, students had to fill out a questionnaire assessing prior knowledge. The study was designed where all the students were presented the same learning contents regarding photosynthesis; however, the two experimental groups were provided with different concept map methods: a learner-generative concept map (GCM) and an instructor-provided concept map (PCM). GCM students were asked to make a concept map by themselves in small groups while they are reading material. PCM students were instructed to study in small groups in order to read the material; however, they were provided a concept map developed by their teacher. The control group (CG) had the teacher present the learning contents in traditional lecture format with no accompanying concept map. The results show that there were significant differences in the achievements among the groups. CG showed higher achievement than both the experimental groups. There was also a significant difference in cognitive load. Although the GCM group did not obtain higher achievement than the other groups, the GCM group showed higher mental effort and lower physical fatigue than the other groups. The GCM group might have invested more effort to find and connect ideas when drawing their concept map with peers which is unlike the conditions for the PCM group and CG. In conclusion, we should consider applying GCM in teaching and learning design in order to increase learning achievement and decrease extraneous cognitive load.

• 대한지구과학교육학회지
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• 제6권2호
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• pp.93-100
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• 2013

The purpose of this study is to examine the effect of science related attitudes and science inquiry skill that apply concept maps for 'Ocean' units in middle school science. The subjects of this study consist of four classes third grade middle school students of the Busan Metropolitan City, which were divided into two groups: one is the experimental group which applied concept map teaching and the other is the ordinary teaching group. The result of this study were shown as follow: First, the use of concept map teaching improved the active meaningful process and improved student's science related attitudes in the experimental group. Second, the science lesson using concept map is effective for science inquiry skill in the experimental group. Third, the using concept map teaching created a positive reaction to make the formulation of ideas.

• 충청수학회지
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• 제22권1호
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• pp.39-47
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• 2009

Pan, Shen and Woo [8] introduced the concept of the G-sequence of a map. We introduce the G'-sequence of a map, which is a dual concept of the G-sequence of a map. We obtain some sufficient conditions for the all sets in the G'-sequence of a map are groups, and for the exact G'-sequence of a map.

• 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.

• 한국HCI학회:학술대회논문집
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• 한국HCI학회 2008년도 학술대회 2부
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• pp.399-404
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• 2008

사용자 중심의 메뉴 기반 인터페이스를 설계하기 위해서는 인간의 지식 구조를 이해하는 것이 중요하다. 인간의 지식 구조를 이해하게 되면, 인터페이스를 통해서 전달된 자극들이 만들어낸 개념들이 어떠한 관계를 가지고 정신 모형(mental model)을 형성하고 있는지 알 수 있다. 인간의 지식 구조는 MDS (Multidimensional Scaling)과 Trajectory Mapping을 이용하여 Visual Concept Map 으로 나타낼 수 있고, 이것을 바탕으로 인간의 지식구조를 시각적으로 이해할 수 있다. MDS 는 인간의 머릿속에 자리잡고 있는 개념들의 상대적 위치를 알려주고, Trajectory Mapping 은 개념들 간의 연결 상태를 보여준다. 즉, Trajectory Mapping 을 통하여 개념들 간악 인지적 정보를 알 수 있다. 본 연구에서는 MDS 와 Trajectory Mapping 을 이용하여 핸드폰 메뉴로부터 전달 받은 시각적 자극들에 악해 형성된 개념들에 대한 인간의 지식 구조를 Visual Concept Map 으로 시각화하였다. 그리고 이렇게 시각화된 지식 구조를 바탕으로 메뉴 구조를 개발하였다. 본 연구 결과, MDS 와 Trajectory Mapping 을 이용한 인간의 지식 구조의 시각화는 사용자 중심의 메뉴 기반 인터페이스를 설계하는데 유용하게 쓰일 수 있을 것으로 보인다.

• 대한수학교육학회지:학교수학
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• 제3권1호
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• pp.75-99
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• 2001

The purpose of this study is to develop concept map as a tool of performance assessment in mathematics and to conduct feasibility test of the task. I developed and applied a concept map, an assessment tool, in the form of a mathematics performance task for 1st and 2nd year middle school students. I also conducted feasibility test of the task, and at the same time sought ways to guarantee reliability of the assessment procedure. Results of the task assessment can be summarized into the following four points. First, the concept map task was found to be appropriate for an assessment of mathematics in middle school. Second, results of all 10 factors on verification of validity of the content of the task were positive with over 50%. Third reliability of teachers who conducted marking of the four concept map tasks was high, all recording over .871 in correlation number.

• 대한방사선기술학회지:방사선기술과학
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• 제42권6호
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• pp.491-496
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• 2019

The purpose of this study was to apply a concept map to the first-year students of radiologic science and report its effects. The concept map is a visual representation of a major concept and related linking statements. Concept maps are useful tools for students to construct and organize content they have learned. The subjects of this study were first-year grade and at one university in Chungbuk, Korea. They were divided into active and passive participant groups in the class. And they were evaluated the educational effects such as satisfaction, fidelity, learning achievement, and interest before and after using the concept map. As a result, the passive participant group significantly increased the educational effect except for satisfaction, and the active participant group significantly increased the educational effect in all variables (p<0.05). These results showed that concept mapping, which induces first-year grade students to participate in class, could be helpful in radiologic education. It is expected to be used as basic data in various radiologic educational methodology studies in the future.

• 한국학교수학회논문집
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• 제9권3호
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• pp.385-403
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• 2006

본 연구는 마인드맵, 컨셉트맵 그리고 브이맵을 활용하여 수학학습하는 방법에 대해서 모색한다. 각각의 맵의 특성, 맵의 구조, 맵의 작성방법과 활용가능성 및 의의를 상세히 분석하고 수학교육과 어떻게 활용될 수 있는지 제시한다. 마인드맵은 인간의 사고를 최대한 가능하게 해주는 새로운 학습의 개념으로서 시간을 효과적으로 활용하고 그 학습효과를 최대로 할 수 있으며 컨셉트맵은 학습자들이 학습한 수많은 개념들을 체계적으로 제시할 뿐만 아니라 그들 사이의 관계를 시각적으로 구성하여 제시한다. 마지막으로 브이맵은 학습자들의 살아있는 생생한 지식이 되고 또 다른 탐구를 유도하는 그런 역할을 수행하는데 특히 도움이 되며 탐구를 시작하기 전에 알고자하는 질문을 던짐으로써 시작한다.

• 한국초등과학교육학회지:초등과학교육
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• 제21권1호
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• pp.13-24
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• 2002

This study examined the knowledge structure constructed by children before formal instruction, and successive changes in the structural complexity of knowledge during the learning of the 'Structure and Function of Plants' unit. The researchers let the 5th graders draw the first draft of their concept maps in order to examine the pre-existing knowledge structure concerned with the unit and also four concept maps after completing every fourth lesson. Each concept map drawn by children on the basis of the previous one showed the degree of their current understanding on the structure and function of plants. The results revealed that only two levels of hierarchy and five relationships among the components of the first concept map(relationship, hierarchy, cross link and example) were proven to be valid in terms of conceptual relevance. According to the standard map, there was no change in hierarchy from the 2nd to the 3rd map, and in example from the 2nd to the 4th map. However, the gradual and successive increases of the scores in all components appeared in the children's maps throughout the unit. Knowledge restructuring occurred strongly in the early periods from the 1st to the 6th lesson, and the significant stable changes in tuning and accretion appeared throughout the whole lessons. The results also showed that there were no significant gender differences on the 5th grader's knowledge structuring.