• Education of Primary School Mathematics
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• v.16 no.1
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• pp.1-20
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• 2013

The aim of this study was to develop a gifted educational program in math-gifted class in elementary school using recently developed 4D-frame. This study identified how this program impacted on spatial sense and mathematical creativity for mathematically gifted students. The investigation attempted to contribute to the developments for the gifted educational program. To achieve the aim, the study analysed the 5 and 6th graders' figure learning contents from a revised version of the 2007 national curriculum. According to this analysis, twelve learning sections were developed on the basis of 4D-frame in the math-gifted educational program. The results of the study is as follows. First, a learning program using 4D-frame for spatial sense from mathematically gifted elementary school students was statistically significant. A sub-factor of spatial visualization called mental rotation and sub-factors of spatial orientations such as sense of distance and sense of spatial perception were statistically significant. Second, the learning program that uses 4D-frame for mathematical creativity was statistically significant. The sub-factors of mathematical creativity such as fluency, flexibility and originality were all statistically significant. Third, the manipulation properties of 4D-frame helped to understand the characteristics of various solid figures. Through the math discussions in the class, participants' error correction was promoted. The advantage of 4D-frame including easier manipulation helped participants' originality for their own sculpture. In summary, this found that the learning program using 4D-frame attributed to improve the spatial sense and mathematical creativity for mathematically gifted students in elementary school. These results indicated that the writers' learning program will help to develop the programs for the gifted education program in the future.

• School Mathematics
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• v.7 no.3
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• pp.237-252
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• 2005

This study aims to present a model of mathematics classroom for gifted students by applying the social constructivism. An important function of good materials is promoting students' conjectures and discussions actively, and the model is appropriate to these kinds of materials. This model includes four stages, i. e. forming the subjective knowledge, objectifying, forming the objective knowledge, individual re-forming. And the four stages form a cycle working continuously on more progressive materials. This study presents an example of the classroom for fifteen students of grade 6 on the properties of multiples. Students performed so active investigations, and structured the con-tents learned effectively.

• Journal of Gifted/Talented Education
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• v.27 no.1
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• pp.37-57
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• 2017

In terms of making more various geometrical figures than existing Tangram, Sphinx Puzzle has been used as a material for the gifted education. The main research subject of this paper is to verify how many convex polygons can be made by all pieces of a Sphinx Puzzle. There are several previous researches which dealt with this research subject, but they did not account for the clear reasons on the elementary level. In this thesis, I suggest using unit area and minimum area which can be proved on the elementary levels to account for this research subject. Also, I composed the program for the mathematically gifted elementary students, regarding the subject. I figured out whether they can make the mathematical justifications. I applied this program for three 6th grade students who are in the gifted class of the G district office of education. As a consequence, I found that it is possible for some mathematically gifted elementary students to justify that the number of convex polygons that can be made by a Sphinx Puzzle is at best 27 on elementary level.

• Education of Primary School Mathematics
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• v.18 no.3
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• pp.175-190
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• 2015

This study investigated the effect of team project activity for game making on the elementary mathematically gifted students' community care and organizational management capacity. 7 mathematically gifted students of 4th grade are selected and participated. After 15 hours activities during 2 months of team project on game making, their community care and organizational management capacity were improved. This results suggested that leadership education is possible in mathematics curriculum for mathematics gifted students.

• Journal of Elementary Mathematics Education in Korea
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• v.2 no.1
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• pp.41-59
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• 1998

Today's gifted students will be tomorrow's leaders in goverment, economies, technology, sciences, and all other areas of human endeavor. these students have a right to partcipate in school programs that will help them reach their special potentions. The school have on obligation to provide flexible and effective programs for gifted. In this study is to know in broad generalities for identifying methods mathematics gifted, the instructional environment, teaching methods in the regular classroom, enrichment program contents, evaluating student and program contents.

• Education of Primary School Mathematics
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• v.15 no.1
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• pp.31-40
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• 2012

In this paper, we developed teaching learning models using a numeral operation for the mathematical gifted focused on the design of a circle using GSP and investigated effects of this models. This model gave gifted-students to be able to produce creative outputs with mathematical principles and practicality and beauty of mathematics. We found following facts. Firstly, a developed teaching-learning model improves a mathematical gifted student's mathematical creativity as analytic thinking and deductive inference. Secondly, a circular design using GSP helps gifted students to understand the abstract rules because mathematical patterns was represented visually by a circular design. Lastly, a circular design using a numeral operation is helpful to gifted students revealing to creativity and beauty of mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.149-168
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• 2014

Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.589-608
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• 2015

The inquiry subject of this paper is the number of convex polygons one can form by attaching the seven pieces of a tangram. This was identified by two mathematical proofs. One is by using Pick's Theorem and the other is 和々草's method, but they are difficult for elementary students because they are part of the middle school curriculum. This paper suggests new methods, by using unit area and the minimum area which can be applied at the elementary level. Development of programs for the mathematically gifted elementary students can be composed of 4 class times to see if they can prove it by using new methods. Five mathematically gifted 5th grade students, who belonged to the gifted class in an elementary school participated in this program. The research results showed that the students can justify the number of convex polygons by attaching edgewise seven pieces of tangrams.

• School Mathematics
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• v.17 no.2
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• pp.273-287
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• 2015

The purpose of this study was to obtain a deeper understanding of didactic processing in the class that unified with engineering by analyzing on the types of the teacher's instumental orchestration and schematizing it as an activity system. In order to do so, a qualitative study of a 5th grade class for math-gifted students in Y elementary school with ethnography was conducted. Interviews with the students were held and various document data were collected during the participational observation of the class. The collected qualitative data were gone through the analytical induction while the instrumental orchestration of Drijvers, Boon, Doorman, Reed, & Gravemeijer as well as the secondgeneration activity theory of Engestrom were using as the frame of conceptional reference. According to the result of this study, there exist 4 types, such as 'technical demo' 'link screen board', 'detection-exploring small group' and 'explain the screen and technical demo'.

• School Mathematics
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• v.15 no.2
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• pp.429-442
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• 2013

The purpose of this study was to examine the curricula for mathematically gifted focused on contents and graded sequences of those. Three cases of the curricula for the mathematically gifted including teachers' lesson plans and activity sheets for students were collected from gifted education institutes attached the Metropolitan Office of Education. By qualitative analysis, three cases are compared. The first, in a view of educational contents on mathematics, characteristics of the educational programs were investigated. The second, how these contents were arranged according to grades was inquired. On the basis of the results, further studies can be proposed as follows. First, there is a need to study the criteria for setting the educational contents and the sequences of education for the mathematically gifted connecting elementary mathematics education curricula. Second, it is necessary to form the networks in which can allow communication among teachers and researchers for the mathematically gifted.