• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.523-539
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• 2013

The object of this study is to compare and analyze mathematically gifted and non-gifted elementary students in the family system and career attitude maturity, understand the characteristics of the former, and provide assistance for career education for both groups. The subjects include 145 mathematically gifted elementary students (73 fifth graders, 72 sixth graders) and 167 non-gifted students (78 fifth graders, 89 sixth graders) in G educational agencies. Materials for the experiment include amended family system test and career attitude maturity test. While t-test was conducted to solve the first research question, Pearson's correlation analysis was performed to solve the other one. The research findings were as follows: First, mathematically gifted elementary students, compared to non-gifted students, turned out to have higher rates of the family system and career attitude maturity rate and showed statistically meaningful positive relationship. Second, the lower components of the family system and career attitude maturity, there seems to be no relationship between family-flexibility and finality. However, among other components, there was a level of significance at 5% which shows statistically meaningful positive relationship. In summary, this found that the family system is able to have an effect on the career attitude maturity for both mathematically gifted elementary students and non-gifted students. Hence, it need to be considered the components of family system when the teacher guides mathematically gifted elementary students and non-gifted students associated with their career.

• Journal of Gifted/Talented Education
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• v.20 no.3
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• pp.655-679
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• 2010

This study was created with the intent of improving the teaching quality of the teachers responsible for instructing higher level math programs. Additionally, this research study was designed to analyze the instruction of mathematically gifted students by using "The Flanders Category System" and "TIMSS video analysis". The results of this study will provide opportunities for a deeper understanding of ways to improve the quality of gifted instruction in mathematics and furthermore will increase the expertise of teachers in the realm of gifted education in mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.745-768
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• 2010

The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

• 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 the Korean School Mathematics Society
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• v.13 no.2
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• pp.225-241
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• 2010

Even though geometry is an important part basic to mathematics, studies on the program designs and teaching strategies of geometry are insufficient. The aims of this study are to propose the model of program design for autonomous learners taking their characteristics of the mathematically gifted into consideration. The core of teaching materials are analytic geometry and projective geometry. And the new teaching strategy will introduce three steps ; a draft strategies step(problem presentation, problem solving), a supportive strategies step(abstraction of a mathematical concept, mathematical induction, and extension), a transference strategies step to teaching strategy suitable for mathematically gifted. As a result, this study will suggest the effective methods of geometry teaching for the mathematically gifted.

• School Mathematics
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• v.15 no.4
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• pp.921-940
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• 2013

This study is to analyze mathematically gifted middle school students' characteristics of mathematical thinking and the teacher's role in teaching and learning about the central projection and perspective drawing. And it will help to develop teaching and learning materials for the mathematically gifted. The result of this study is as followings : mathematically gifted middle school students show the various characteristics of mathematical thinking like as intuitive insight, generalization, logical thinking & mathematical abstraction and so on, and the teacher plays roles as instructional designer, facilitator, technical assistant and counselor.

• Research in Mathematical Education
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• v.8 no.3
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• pp.203-213
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• 2004

We developed an enrichment program material for the mathematically gifted students in the first grade. The contents were selected and organized based on creative competency improving, increasing of interest, inquiry various activity, interdisciplinary approaches, and the enrichment contents from modern mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.337-358
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• 2012

The purpose of this study is to find out the relation between co-cognitive factors, personal affective and characteristic features as the basis that prompts talented behaviors and leadership. The subjects of the study were 77 elementary mathematically gifted students attending at the gifted education center affiliated with University of Education in D metropolitan city and 110 elementary students in metropolitan city and provinces. The results of this study are as follows. First, elementary mathematically gifted students had higher levels than general students in every subdirectory of co-cognitive factors and the difference was statistically significant. Second, there was a difference between leadership of elementary mathematically gifted students and that of general students. Also, the level of gifted students' leadership was higher than the latter. Third, when it comes to the relation between co-cognitive factors and leadership, both of gifted students and general students showed positive correlation between subdirectory of co-cognitive factors and that of leadership. Consequently, development of co-cognitive factors will lead to improvement of leadership since co-cognitive factors positively influence on leadership. Therefore, it is desirable that co-cognitive factors are considered when developing a program for leadership.

• Journal of Gifted/Talented Education
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• v.21 no.2
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• pp.287-307
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• 2011

The purpose of this study is to investigate levels of mathematically gifted students' understanding of statistical samples through comparison with non-gifted students. For this purpose, rubric for understanding of samples was developed based on the students' responses to tasks: no recognition of a part of population (level 0), consideration of samples as subsets of population (level 1), consideration of samples as a quasi-proportional, small-scale version of population (level 2), recognition of the importance of unbiased samples (level 3), and recognition of the effect of random sampling (level 4). Based on the rubric, levels of each student's understanding of samples were identified. t tests were conducted to test for statistically significant differences between mathematically gifted students and non-gifted students. For both of elementary and middle school graders, the t tests show that there is a statistically significant difference between mathematically gifted students and non-gifted students. Table of frequencies of each level, however, shows that levels of mathematically gifted students' understanding of samples were not distributed at the high levels but were overlapped with levels of non-gifted students' understanding of samples.

• Journal of Gifted/Talented Education
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• v.23 no.3
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• pp.387-406
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• 2013

This study compared levels of mathematically talented students' statistical thinking with those of non-talented students in the noticing of statistical variability. t tests were conducted to test for statistically significant differences between mathematically gifted students and non-gifted students. Results for the t-test shows that there is no difference between the TE students' and NE students' noticing of variability in the measurement settings. Meanwhile, the t-test results also show that there is a difference between the TM students' and NM students' noticing of variability in the both measurement and chance settings. Table of frequencies of each level, however, shows that levels of mathematically gifted students' thinking were not distributed at the high levels but were overlapped with those of non-gifted students. These results are thought-provoking results in statistics instruction for mathematically talented students.