• Education of Primary School Mathematics
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• v.17 no.2
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• pp.77-93
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• 2014

The purpose of this study was to investigate the relationships between thinking styles and the components of mathematical ability of elementary math gifted children. The results of this study were as follows: First, there were differences in thinking styles: The gifted students prefer legislative, judical, hierarchic, global, internal and liberal thinking styles. General students prefer oligarchic and conservative thinking styles. Second, there were differences in components of mathematical ability: The gifted students scored high in all sections. And if when they scored high in one section, then they most likely scored high in the other sections as well. But the spacial related lowly to the generalization and memorization. There is no significant relationship between memorization and calculation Third, there was a correlation between thinking styles and components of mathematical ability: Some thinking styles were related to components of mathematical ability. In functions of thinking styles, legislative style have higher effect on calculation. And executive, judical styles related negatively to the inference ability. In forms of thinking styles monarchic style had higher effect on space ability, hierarchic style had higher effect on calculation. Monarchic, hierarchic styles related negatively to inference ability. In level of thinking styles global, local styles have higher effect on calculation. Local styles related negatively to the inference ability. In the scope of thinking styles, internal style had a higher effect on generalization, and external style had a higher effect on calculation. And there is no significant relationship leaning of thinking styles.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.481-491
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• 2006

Diffy is a simple mathematical puzzle that provides elementary-school students with subtraction practice. The idea appears to have originated in the late nineteenth century with E. Ducci of Itali. Thirty years ago Professor J. Copley of the University of Houston introduced the diffy game to teachers in elementary schools and it widely spreaded out. During the diffy activity we naturally guess many interesting conjectures. First, does diffy always end? Second, does the head of diffy always exist? Third, for an arbitrary given natural number n, is there any possible method to find the diffy with the given length n? In this study I give the necessary and sufficient condition for the existence of the head of diffy. Using this condition I classify all possible heads of diffy and provide an algorithm to find the diffy with any given length n. With this algorithm I find four natural numbers with diffy length 200. To ensure my numbers are correct, I make a diffy program for Mathematica and check they are correct. I suggest the diffy game is good for enlarging the mathematical thinking to all graded students, especially gifted and talented students, It will produce rational consideration and synthetic judgement.

• Journal of the Korean Society of Earth Science Education
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• v.7 no.1
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• pp.24-33
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• 2014

The purpose of this study was to determine the discrete intelligences from multiple intelligence affecting the social adaptive behavior, help to understand their relation and draw educational implications to be used in supporting gifted students who have social and emotional difficulties by comparing and analyzing the relation between multiple intelligence and social adaptive behavior of gifted and general elementary students. The conclusions of this study are as follows. First, the levels of both multiple intelligence and social adaptive behavior were significantly higher in gifted elementary students compared to general ones on all sub-factores, indicating that the gifted elementary students are more adaptive in such constructs as self-efficacy, self-esteem, communicative skill, school life and interpersonal skill compared to general ones. Second, the association between multiple intelligence and social adaptive behavior was statistically significant both in gifted and general elementary students, indicating that the two constructs have close relation with each other. Third, for the gifted elementary students, the logical-mathematical and interpersonal intelligences had explanatory powers for self-efficacy, self-esteem, communicative skill, adaptation in school life, interpersonal skill while, for the general ones, intra- and inter-personal intelligences had explanatory powers for most domains of social adaptive behaviors, indicating that development of intelligences affecting the social adaptive behavior many have positive effects on social and emotional development of both gifted and general elementary students.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.507-518
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• 2006

There is a great need to find new topics which are good to evaluate and to encourage the mathematical creativity of gifted students, For the purpose to find such a topic, we study Ho-bak-go-nu game that is one of Korean traditional games and a typical alignment game. By analyzing patterns of possible alignment, the author gives a complete solution to win or not to lose according to the rules chosen by players. The author also poses several class-models including a test for the class of gifted students based on the analysis of real classes on Ho-bak-go-nu game.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.04a
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• pp.133-148
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• 2006

Although gifted students are well ready in the perspective of intelligence, in order to make their Beaming highly effective, it is necessary to revitalize their intellectual abilities and progress it into proactive learning behaviour. It is requisite to stress on the affective variables for achieving this. This study examined and analyzed affective variables for the subject mathematics on self-concept toward mathematics, attitude, interest, mathematical anxiety, and learning habits.

• School Mathematics
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• v.12 no.1
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• pp.79-95
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• 2010

The purpose of this study is to examine into how the mathematically gifted cope with ambiguity when they are encountered to learn via resolving ambiguity. In this study 6 gifted students are asked to resolve the ambiguity. Participant in this study appeared to experience the need of mathematical justification and the flexible change of perspective. The gifted have constructed unified mathematical knowledge by making a relation between two incompatible perspective in the process of resolving the ambiguity. We suggest that dealing with ambiguity in mathematics class can be a good opportunity for enhancing the gifted student mathematics education.

• School Mathematics
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• v.15 no.3
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• pp.619-632
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• 2013

One area where research is especially needed is their elaboration process and how they elaborate their idea as a group in a mathematical board game re-creation project. In this research, this process was named 'Mathematical Elaboration Process'. The purpose of this research is to understand how the gifted children elaborate their idea in a small group, and which idea can be chosen for a new board game when they are exposed to a project for making new mathematical board games using the what-if-not strategy. One of the gifted children's classes was chosen in which there were twenty students, and the class was composed of four groups in an elementary school in Korea. The researcher presented a series of re-creation game projects to them during the course of five weeks. To interpret their process of elaborating, the communication of the gifted students was recorded and transcribed. Students' elaboration processes were constructed through the interaction of both the mathematical route and the non-mathematical route. In the mathematical route, there were three routes; favorable thoughts, unfavorable thoughts and a neutral route. Favorable thoughts was concluded as 'Accepting', unfavorable thoughts resulted in 'Rejecting', and finally, the neutral route lead to a 'non-mathematical route'. Mainly, in a mathematical route, the reason of accepting the rule was mathematical thinking and logical reasons. The gifted children also show four categorized non-mathematical reactions when they re-created a mathematical board game; Inconsistency, Liking, Social Proof and Authority.

• 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.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.561-574
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• 2006

Mathematical creativity has been confused with general creativity or mathematical problem solving ability in many studies. Also, it is considered as a special talent that only a few mathematicians and gifted students could possess. However, this paper revisited the mathematical creativity from a mathematics educator's point of view and attempted to redefine its definition. This paper proposes a model of creativity in school mathematics. It also proposes that the basis for mathematical creativity is in the understanding of basic mathematical concept and structure.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.207-219
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• 2011

The purpose of this article is to study characteristics of diabolical cube in geometric point of view, and to present educational materials and direction for efficient diabolical cube activities in gifted education upon systematical analysis of methods of finding solutions. We can apply inclusion-exclusion Method to find all possible combination of solutions in diabolical cube activities not as trial-and-error method but as analytical method. Through teacher's questions and problem posing in activities using diabolical cube, we systematically came up with most solution and case of all possible combinations be solution in classifying properties of pieces and combining selected pieces.