• Communications of Mathematical Education
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• v.29 no.1
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• pp.91-110
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• 2015

The purpose of this study is to investigate the understanding of pi of elementary gifted students and explore improvement direction of teaching pi. The results of this study are as follows. First, students understood insufficiently the property of approximation, constancy and infinity of pi from the fixation on 'pi = 3.14'. They mixed pi up with the approximation of pi as well. Second, they had a inclination to understand pi as algebraic formula, circumference by diameter. Third, few students understood the property of constancy and infinity of pi deeply. Lastly, the discussion activity provided the chance of finding the idea of the property of approximation of pi. In conclusion, we proposed several methods which improve the teaching of pi at elementary school.

• Journal of Gifted/Talented Education
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• v.26 no.3
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• pp.515-539
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• 2016

The purpose of this study is to develop the integrated curriculum for gifted elementary students based on ICM (Integrated Curriculum Model) and to apply it for analysis of the relationship between creativity and creative problem solving skills. An integrated curriculum for gifted students attending a university-affiliated institute was developed and applied to twenty mathematically gifted 5th and 6th grade students. TTCT language test and CAT test for students' products from activities were conducted. In addition, tape-recorded group discussions and activities during instruction, and interview with students and teacher, activity sheets were analyzed. As results, their language abilities shown TTCT test have been improved. Furthermore, the correlation between the test results of automata and language creativity, the average of two projects and language creativity, and future problem solving and the average of TTCT showed significant correlations. Results showed the gifted students' understanding of high level concepts and cooperation among groups were needed in order to improve creative problem solving. It suggested a further study research the integrated curriculum applying creativity and giftedness to real-life problem situations for gifted students to make them grow into essential competent persons in the future.

• Journal of Gifted/Talented Education
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• v.17 no.2
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• pp.338-364
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• 2007

The purpose of this study is to investigate current trends and future directions of research in the area of gifted education through the analysis of published manuscripts on giftedness and gifted education between $2000{\sim}2006$. About 521 articles among 35 journals and 49 dissertations listed in the Korea Education and Research Information Service, including the journal of gifted/talented education and the journal of giftedness and gifted education, were mainly analyzed in the present study. The articles were examined by topics, domains, ages, and research methods both yearly and synthetically. The most widely researched topic was curriculum and program issues in gifted education, and the topic related to factors and development of giftedness was the second. Most studies have continuously focused on the mathematically and scientifically gifted students, and studies on gifted students in the areas of art, language, and other domains were scant. Issues on underachieving gifted students and underachievement were researched actively in 2005. More research has utilized elementary students as samples rather than middle or high school students. Young children under 7 have attracted much attention by researchers after 2004. Related to research methods, literature review was the most widely used, survey was the second, and experimental and correlational studies were the next. Implications related to results were discussed in depth.

• School Mathematics
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• v.7 no.4
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• pp.319-336
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• 2005

This study is to find the properties of Diffy activity and to investigate the problems and conjectures which could be posed in the Diffy activity. The Diffy is a simple subtracting activity. But, 1 think it is a field where the mathematical thinking can take place. I proposed some problems and conjectures which can be posed. I solved the problems using excel and the software I developed and proposed the related data. I think such problems and the data will be the good materials for elementary students and gifted to think mathematically with.

• The Mathematical Education
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• v.55 no.2
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• pp.147-169
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• 2016

This study analyzes the mathematical creativity test as an illustrative example with scoring domains of fluency, flexibility and originality in order to make suggestions for obtaining maximum reliability based on a composite score depending on combinations of each scoring domain weights. This is done by performing a multivariate generalizability analysis on the test scores, which were allowed to access publicly, of 30 mathematically gifted elementary school students, and therefore error variances, generalizability coefficients, and effective weights have been calculated. The main results were as follows. First, the optimal weights should adjust to .5, .4, and .1 based on the maximum generalizability coefficient even though the original weights in the mathematical creativity test were equal for each scoring domain with fluency, flexibility and originality. Second, the mathematical creativity test using the three scoring domains of fluency, flexibility, and originality showed higher reliability than using one scoring domain such as fluency. These results are limited to the mathematical creativity test used in this study. However, the methodology applied in this study can help determine the optimal weights depending on each scoring domain when the tests constructed in various researchers or educational fields are composed of multiple scoring domains.

• School Mathematics
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• v.17 no.3
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• pp.377-390
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• 2015

This study attempts to analyse mathematical thinking and attitude of students related to mathematization in the problem solving process and provide implication of teachers' roles. For this, this study analyses mathematical thinking and attitude by dividing the process of solving problems of triangular array into several steps. And it makes a proposal for teachers questioning which can help students according to steps. Therefore this study results students' mathematization needs various steps and compositive mathematical thinking and attitude when students solve even a problem. From the point of view of teachers who attempt to wean students on mathematization, it is necessary for teachers to observe and analyze how students have mathematical thinking and take a stand for mathematics in detail. It also indicates that it is desirable for students who can not move on next step to provide opportunities to learn on their own rather than simply providing students mathematical thinking directly. Students can derive pleasure from the process of solving difficult problems through this opportunity and realize usefulness of mathematics. Finally this experience can build mathematical attitude and prepare the ground to be able to think mathematically.