• The Mathematical Education
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• v.17 no.2
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• pp.1-13
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• 1979

This study aimed at studying the sequence of the Figure Transformation Learning, inquiring relationship among these transformations and then researching whether there is the difference of the learning ability or not between by teaching them as it is independent and by teaching them as it is contains. (Hypothesis 1) It may be more effective to teach The Sequence of Transformation Learning by beginning with peculiar field, ending with general field than vice versa At the result of verification-C $R_{M}$=2.59, 0.005$R_{M}$=5.19, p<0.005-significant difference appeared. It is proved more effective to teach the Figure Transformation Learning the way it contains than the way it is independent. Synthesizing two hypothesises of the above, the conclusion is following The Figure Transformation Learning should be taught by beginning with peculiar field. ending with general field (congruent transformationlongrightarrowsimilar transformationlongrightarrowprojective transformationlongrightarrowtopological transformation). To teach it the way it contains is more effective.ive.

• Journal of The Korean Association of Information Education
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• v.5 no.1
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• pp.33-45
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• 2001

In order to adapt ourselves to the Informationalization Society of twenty-first century, it is required to have ability to find quickly the necessary information and solve the problem of our own. In the field of school, it should be educated to develop learner's ability that can cope with the Informationalization Society. When a learner can study in such direction, he or she will be able to plan the learning of his own as the subject of education, and develop his ability to solve the problem by collecting and examining various information. It is self-leading learning that can make education like this possible. Through computer, especially Web site, self-directed learning can develop can develop the individuality and creativity of learners. They can collect and utilize autonomously information and knowledge. To do such an education, the program that can work out self-directed learning is needed. Therefore the program I want to develop is to reconstruct the 'figure' part of mathematics in elementary school into five steps by utilizing Web site. In the first step is to learn the concept of various shape. This step enable learners to know what figure is and how it can be utilized in our real life. The second step of dot, line and angle makes it possible that learners can consolidate the foundation of the study about figure and recognize the relation between angle and figure. In the third step of plane figure, we can study how to calculate the relation of plane figures and the area of figure with various shapes by cutting and adding them. The fourth step is about congruence and symmetry. Learners can learn to know the figure in congruence, reduction and enlargement and how it is used in our real life. In the fifth step of solid figure, we can learn the relation among the plane figure, solid figure, the body of revolution, corn and pyramid etc. controling the speed of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself. Because this program is progressed on the Web site, it is possible to learn anytime and anywhere. In addition to it, a learner can learn beyond the grade as well as do the perfect learning by controling the pace of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.121-138
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• 2008

In this study, we designed and developed Web-based 3D figure learning program which can create and control the 3D figures effectively in cyberspace. To develop this learning program, we used the JAVA 3D because JAVA 3D can express 3D figures effectively in cyberspace and is platform independent. This program is very helpful for learners to understand the concept of 3D space and the formulation of space concept effectively. Also it motivates learners to understand 3D figures study and enables Self-Directed-Learning.

• Journal of Korea Game Society
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• v.6 no.3
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• pp.33-42
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• 2006

This study is aimed to develop adventure-game style learning program for offering different levels curriculum in mathematics and figure areas in elementary schools. The 7th mathematics curriculum introduced different levels curriculum considering learners' ability, aptitude, requirement, interest so that it could improve learners' growth potential and educational efficiency. But in reality, it is quite difficult to increase educational efficiency by conducting individual learning classes according to students' ability due to the big differences among students' levels in addition to high population in each classroom. The purpose of this study is to offer different levels curriculum based on van Hiele theory and develop adventure-game style learning program to increase interests of the learners. This program can improve students' academic achievement by offering differentiated curriculums to learners who need advanced or supplementary learning materials. And it also enhances leaners' spatial-perceptual ability by offering various operating activities in figures learning.

• The Journal of the Korea institute of electronic communication sciences
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• v.8 no.4
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• pp.569-574
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• 2013

With probably too many smart phone applications downloaded, it is sometimes frustrating to find frequently used applications quickly. In this paper, we propose a learning application that learns what applications a user frequently uses and match them with several signals that user designated. This learning applications uses ART2 algorithm that is good for stable real-time learning. By executing this learning application, a user simply chooses an application that is to be quickly searched and then draw a figure that would match the designated application at the upper left corner of our learning application. The proposed learning application transforms the background with 0's and the figure with 1's and normalize them to be used as inputs for ART2 and ART2 does clustering to setup a match table between applications and figures. After learning, a user simply draws a figure to execute one's frequently used application.

• 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.

• School Mathematics
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• v.1 no.1
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• pp.109-122
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• 1999

In this paper we give a description of students' obstacles in their learning of geometry, especially resulted from their confusing a physical drawing with a figure, a geometrical object which a physical drawing represents. In computer-based teaching-learning environment, we could relieve such obstacles through providing students for experiences in which they must focus on elements of a figure and relations of them. But there may be potential in computer-based environment if we offer students only visual experience for validity of geometrical gacts: students' lack of understanding for need of proof and experience of cognitive obstacles which is very important for students to reflect their thinking and activities. Thus an didactical treatment must follows, which we also give an example.

• The Journal of Information Technology
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• v.3 no.3
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• pp.1-9
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• 2000

In this paper, we propose the design and implementation of Multi-media Title for the similar figure learning. The algebra problems of mathematics are usually solved by algorithm, but the diagram problems of geometry have various solution methods. This made us educate the students by memorizing the principle and property of diagram. In this paper, we applied the courseware to the students and analyzed the result. Therefore we could notice the possibilities, "f we teach students by using the courseware, we can improve their learning achievement."

• Education of Primary School Mathematics
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• v.16 no.1
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• pp.57-70
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• 2013

This study is aimed to compare the area of geometry of elementary mathematics textbooks in korea and china. Through this study, we would like to suggest some guidelines in order to develop geometric curriculum and textbooks in korea and to search for more efficient methods of learning mathematics. For this, we have looked through the general characteristics of geometry domain in mathematics curriculums and the textbooks in korea and china. Furthermore, we have found the similarities and differences while comparing specific contents in the two countries. The followings are the conclusions of this study. First, The mathematics curriculum in korea is divided into 'figure' domain, but the one in china is divided into 'space and figure' domain, which deals with figure and measurement. And china constructs the contents of the basic figure as a whole unit. Second, korea gives clear learning aims about contents whereas china gives learning activities. Lastly, when starting teaching a plain figure, korea focuses on checking and finding definitions and characters through fundamental figures. However, china focuses on figuring out components and the relations among them throughout various plain figure activities.

• East Asian mathematical journal
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• v.32 no.4
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• pp.483-500
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• 2016

Ancient Greek mathematician Euclid left three books about mathematics. It's 'The elements', 'The data', 'On divisions of figure'. This study is based on the analysis of Euclid's 'On divisions of figure'. 'On divisions of figure' is a book about the construction of the shape. Because, there are thirty six proposition in 'On divisions of figure', among them 30 proposition are for the construction. In this study, based on the 'On divisions of figure' we explore the direction for construction education. The results were as follows. First, the proposition of 'On divisions of figure' shall include the following information. It is a 'proposition presented', 'heuristic approach to the construction process', 'specifically drawn presenting', 'proof process'. Therefore, the content of textbooks needs a qualitative improvement in this way. Second, a conceptual basis of 'On divisions of figure' is 'The elements'. 'The elements' includes the construction propositions 25%. However, the geometric constructions contents in middle school area is only 3%. Therefore, it is necessary to expand the learning of construction in the our country mathematics curriculum.