• Communications of Mathematical Education
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• v.10
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• pp.97-106
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• 2000

학습의 도구로써 컴퓨터의 활용은 학습 내용뿐만 아니라 수학적 지식의 획득 과정에 있어서도 변화를 시도하고 있다. 특히 물리적인 환경에서 시 ${\cdot}$ 공간적인 제약으로 인한 구체적 조작활동을 한계성을 극복하기 위해 개발된 기하학습 소프트웨어인 GSP와 Cabri-Geometry II는 새로운 관점에서의 기하학습을 가능케 한다. 본고에서는 기하학습의 도구로써 컴퓨터의 역할과 GSP의 기능적 특성 및 초등학교 수학교수 ${\cdot}$ 학습과정에서 GSP의 활용할 수 있는 방안에 대해서 살펴본다.

• Communications of Mathematical Education
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• v.15
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• pp.141-146
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• 2003

중학교 기하교육의 목적은 학생들의 수학적인 상황을 보는 기하학적인 직관과 논리적 추론능력의 향상이다. 그러나 이 두 가지 모두 만족스럽지 못한 실정이다. 본 고에서는 중학교 기하교육의 문제를 직관기하와 형식기하의 단절이라는 보고, 직관기하에서 증명의 학습요소를 미리 학습하여 직관기하와 형식기하를 연결하자는 대안을 제시한다. 이를 위해 7-나 교과서의 증명요소를 분석하고자 하였다. 관련문헌을 검토하여 7가지 증명의 학습요소를 선정한 후, 교과서를 분석하였다. 분석 결과, 기호화를 제외한 다른 증명의 학습요소는 매우 빈약한 것으로 나타났다. 직관기하 영역에 대한 교과서 구성이 개선될 필요가 있음을 알 수 있다.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.401-420
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• 2010

The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.183-197
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• 2012

Geometry having long history of mathematics have important role for thinking power and creativity progress in middle school. The regular polygon included in plane geometry was mainly taught convex regular polygon in elementary school and middle school. In this study, we investigated the denotation's extension of regular polygon by mathematical basic knowledge included in school curriculum. For this research, first, school mathematical knowledge about regular polygon was analyzed. And then, basic direction of research was established for inquiry. Second, based on this analysis inductive inquiry activity was performed with research using geometry software(Cabri Geometry II). Through this study the development of enriched learning material and showing the direction of geometry research is expected.

• Communications of Mathematical Education
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• v.11
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• pp.339-353
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• 2001

7차 교육과정과 정보화시대를 맞이하여, 수학 교수-학습에서도 기술공학적 교구의 사용이 권장되고 있다. 이에 따라 많은 교원양성 기관과 단체들이 기술공학적인 교구에 대해 다양한 의견을 내고 있다. 여기에서는 먼저 기술공학적 교구의 사용에 대해 teaching 보다 학생의 learing을 중심이 되도록 하고 또한 인터넷과 네트웍 기반의 컨텐츠를 강조하는 원칙을 제시하고, 또 거북 기하학습 환경과 움직이는 기하학습 환경을 하나로 통합하여 인터넷에서 연결하여 쓸 수 있도록 http://javamath.snu.ac.kr 주소에 자바로 구현한 자바수학 마이크로월드의 설계에 대해 논한다.

• Journal of the Korea Computer Graphics Society
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• v.23 no.1
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• pp.57-65
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• 2017

In this paper, we present a dictionary learning method for reducing errors in point cloud models and reconstructing their geometry. For this, 3D feature information is extracted from the models which have a similar shape characteristic as the target model. Then a dictionary is constructed and the geometry is reconstructed using the dictionary. The presented method in this paper consists of the following three steps. First, a geometric patch is constructed from a similar model. Second, a morphological 3D feature of the acquired patch is learned. Third, a geometry reconstruction is performed using the learned dictionary. Finally, the error between the original model and the reconstruction result is calculated, and the accuracy of the reconstruction result is checked.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.69-96
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• 2008

The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

• Communications of Mathematical Education
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• v.12
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• pp.21-32
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• 2001

쌓기놀이는 유치원에서의 주요 활동이며, 유아들이 가장 선호하는 놀이일 뿐 아니라 교육적 가치도 크다고 보고 있다. 특히 쌓기놀이는 다양한 크기, 형태의 나무 적목을 사용하여 구성하게 되므로 공간 관계, 기하학적 도형, 대칭, 합동 등의 수학적 경험을 제공할 수 있다는 것이다. 그러나 교육현장에서의 쌓기놀이는 유아가 자유롭게 구조물을 만든 후 이를 극화놀이로 확장되어 전개되는데 그치고 있어 이를 통한 수학적 경험은 크게 기대할 수 없으며 우연적일 수 밖에 없다. 따라서 본 연구에서는 유아의 쌓기놀이를 보다 기하학적 사고와 탐색을 포함하는 교수-학습의 방안을 모색하고 현장 적용성을 검토하고자하였다. 본 연구의 내용은 유아의 쌓기놀이 활동에 기초한 기하학습의 모형을 설계하고, 이를 기초로 한 적용사례를 제시하는 것이다.

• Journal of Science Education
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• v.47 no.3
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• pp.263-272
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• 2023

We consider how a pre-service teacher can understand and utilize various concepts of Euclidean geometry by learning conic sections using mathematical definitions in non-Euclidean geometry. In a third-grade class of D University, we used mathematical definitions to demonstrate that learning conic sections in non-Euclidean space, such as taxicab geometry and Minkowski distance space, can aid pre-service teachers by enhancing their ability to acquire and accept new geometric concepts. As a result, learning conic sections using mathematical definitions in taxicab geometry and Minkowski distance space is expected to contribute to enhancing the education of pre-service teachers for Euclidean geometry expertise by fostering creative and flexible thinking.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.303-322
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• 2010

The purpose of this study was to analyze the effects of using the geometric manipulative for the development of spatial sense and thus to find out a better mathematics teaching and learning method that could help develop students' spatial senses. The two fifth grade classes were randomly chosen as an experimental group (31 students) and a control group (32 students), respectively. This study implemented nonequivalent control group pretest-posttest design of quasi-experimental design. The test instrument used in this study was a spatial sense test. The pretest and posttest were implemented with the same instrument. In addition, their classes were observed and videotaped, and the data and their study activities were analyzed. In conclusion, first, the geometric manipulative-aided activities contributes to developing students' spatial senses and their two sub-factors involves perceptual consistency and perception of spatial relationship. Second, the activities of grasping the components of solid figures, sketches and development figures by using the geometric manipulative contribute to boost students' perceptual consistencies and their perceptions of spatial relationship.