• Education of Primary School Mathematics
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• v.18 no.2
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• pp.77-89
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• 2015

In this study, an 'Independent Study Checklist' for gifted mathematics students was developed and applied. The characteristics shown in the results after the 'Independent Study Checklist' was applied to mathematics gifted students were analysed. The checklist was divided into six phases of the independent study process and included checking contents at each stage. Observations, student interviews and results of the process of 'Independent Study' were collected and analysed to understand the characteristics of students' outcomes. The results from the application of the 'Independent Study Checklist' suggest the followings. First, the 'Independent Study Checklist' took the role of a self-check list to identify the process of the 'Independent Study'. Second, the check points of the 'Independent Study Checklist' presented the view of discussion to gifted students. Third, the 'Independent Study Checklist' was used as teaching material for teachers of gifted students. Fourth, 'Independent Study Checklist' was optionally used according student's study topics and method. Fifth, the checklist at each phase was continuously used during the whole process of 'Independent Study'. The teachers' interest and encouragement took the role of facilitating students' study process.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.123-143
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• 2010

The Skeleton Tower problem is an example of a curriculum that integrates algebra and geometry. Finding the number of the cubes in the tower can be approached in more than one way, such as counting arithmetically, drawing geometric diagrams, enumerating various possibilities or rules, or using algebraic equations, which makes the tasks accessible to students with varied prior knowledge and experience. So, it will be a good topic which can be used in the elementary grades if we exclude the method of using algebraic equations. The purpose of this paper is to propose some points which can be considered with attention by gifted children education teachers by analyzing the 4th Skeleton Tower problem solutions made by 3rd and 4th graders in their selection test who applied for the education of gifted children in math at J University for the year of 2010.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.285-299
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• 2013

Problem posing activity of which a learner reinterprets an original problem via a new problem suggested, is a learning method which encourages an active participation and approves self-directed learning ability of the learner. Especially gifted students need to get used to a creative attitude to modify or reinterpret various mathematical materials found in everyday usual lives creatively in steady manner via such empirical experience beyond the question making level of the textbook. This paper verifies the possibility of lesson on question making strategy utilization for creativity development of gifted class, and analyzes various cases of students' trials to modify the rules of a board game called Rummikub in application of their own mathematics after learning What-If-Not strategy.

• Education of Primary School Mathematics
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• v.19 no.4
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• pp.313-327
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• 2016

The purpose of this study is to develop the number-operation games and to analyze the effects of the games on mathematical creativity of gifted elementary students. We set up the basic direction and standard of mathematical gifted creativity program and developed the 10 periods games based on the mathematically gifted creative problem solving(MG-CPS) model. And, to find out the change of students' creativity, the test based on the developed program and one group pretest-posttest design was conducted on 20 gifted students. Analysis of data using Leikin's evaluation model of mathematical creativity with Leikin's scoring and categorization frame revealed that gifted students's creativity is improved via the number-operation games.

• 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.17 no.1
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• pp.17-40
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• 2014

To improve elementary mathematics education teaching and learning method and environment, the survey of elementary school students' attitude toward mathematics and their images on mathematician was conducted to mathematically gifted students and non-gifted students of 6th grade of elementary school. The study results show that mathematically gifted elementary students have deeper understanding of mathematician and their works than non-gifted students. But they are not enthusiastic to be a mathematician. On average, awareness of domestic mathematician is turned to be significantly low. And most students don't know well of mathematician. Since this study was applied to the limited range of objects, significant results were not shown in external and internal image of mathematician. Thus, the future study needs to generalize the study results by compensating this defect and developing various materials to improve students' attitude toward mathematics and images of mathematician.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.341-354
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• 2009

The purpose of this study is to show the Fractals activities for mathematically gifted students, and to analyze the constructions on Fractals of the mathematically gifted. The subjects of this study were 5 mathematically gifted students in the Gifted Education Institut and also 6th graders at elementary schools. These activities on Fractals focused on constructing Fractals with the students' rules and were performed three ways; Fractal cards, colouring rules, Fractal curves. Analysis of collected data revealed in as follows: First, the constructions on Fractals transformed the ratios of lines and were changed using oblique lines or curves. Second, to make colouring rules on Fractals, students presented the sensitivities of initial and fractal dimensions on Fractals. In conclusion, this study suggested the importance of communication and mathematical approaches in the mathematics classrooms for the mathematically gifted.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.391-410
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• 2017

This study aims to analyze mathematically gifted students' characteristics of generalization and justification for a given mathematical task and induce didactical implications for individual teaching methods by students' learning styles. To do this, we identified the learning styles of three mathematically gifted 6th graders and observed their processes in solving a given problem. Paper-pencil environment as well as dynamic geometrical environment using Geogebra were provided for three students respectively. We collected and analyzed qualitatively the research data such as the students' activity sheets, the students' records in Geogebra, our observation reports about the processes of generalization and justification, and the records of interview. The results of analysis show that the types of the students' generalization are various while the level of their justifications is identical. Futhermore, their preference of learning environment is also distinguished. Based on the results of analysis, we induced some implications for individual teaching for mathematically gifted students by learning styles.

• Education of Primary School Mathematics
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• v.19 no.2
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• pp.161-175
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• 2016

The purpose of this study is to measure the differences in affective characteristics and mathematical reasoning ability between gifted students and non-gifted students. This study compares and analyzes on the relations between the affective characteristics and mathematical reasoning ability. The study subjects are comprised of 97 gifted fifth grade students and 144 non-gifted fifth grade students. The criterion is based on the questionnaire of the affective characteristics and mathematical reasoning ability. To analyze the data, t-test and multiple regression analysis were adopted. The conclusions of the study are synthetically summarized as follows. First, the mathematically gifted students show a positive response to subelement of the affective characteristics, self-conception, attitude, interest, study habits. As a result of analysis of correlation between the affective characteristic and mathematical reasoning ability, the study found a positive correlation between self-conception, attitude, interest, study habits but a negative correlation with mathematical anxieties. Therefore the more an affective characteristics are positive, the higher the mathematical reasoning ability are built. These results show the mathematically gifted students should be educated to be positive and self-confident. Second, the mathematically gifted students was influenced with mathematical anxieties to mathematical reasoning ability. Therefore we seek for solution to reduce mathematical anxieties to improve to the mathematical reasoning ability. Third, the non-gifted students that are influenced of interest of the affective characteristics will improve mathematical reasoning ability, if we make the methods to be interested math curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.365-389
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• 2017

This study aims to analyze elementary gifted students' inquiries on combinatoric tasks. In particular, we designed circular permutation tasks and analyzed students' inquiries on these tasks. We especially analyzed students' expressions, counting processes, and their construction of set of outcomes. The findings showed that the students utilized analogy to resolve given tasks, and they had difficulties in categorizing and re-categorizing possible outcomes of given tasks. Their improper use of analogy also caused difficulties in resolving circular permutation tasks.