• The Mathematical Education
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• v.48 no.4
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• pp.455-467
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• 2009

During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.257-276
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• 2023

Mathematical modeling can be described as a series of processes in which real-world problem situations are understood, interpreted using mathematical methods, and solved based on mathematical models. The effectiveness of mathematics instruction using mathematical modeling has been demonstrated through prior research. This study aims to explore insights for mathematical modeling instruction by analyzing the metacognitive characteristics shown in the mathematical modeling cycle, according to the mathematical thinking styles of elementary math gifted students. To achieve this, a mathematical thinking style assessment was conducted with 39 elementary math gifted students from University-affiliated Science Gifted Education Center, and based on the assessment results, they were classified into visual, analytical, and mixed groups. The metacognition manifested during the process of mathematical modeling for each group was analyzed. The analysis results revealed that metacognitive elements varied depending on the phases of modeling cycle and their mathematical thinking styles. Based on these findings, didactical implications for mathematical modeling instruction were derived.

• Journal of Gifted/Talented Education
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• v.22 no.1
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• pp.23-37
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• 2012

The purpose of this study is to design a more satisfactory and efficient teaching strategy for the gifted by comparing teaching type and learning environment preferred by the gifted with that preferred by normal students. As a result, the following findings are obtained. First, while the normal class students show higher preference for clarification and organization, gifted students prefer for diversification and specialization. Second, with the respect to the gender-related forms of mathematics classroom environment, the overall female preference and the average score are higher, indicating significant difference in the area is only a psychological domain. Third, compared to the regular classroom, the gifted have significantly different preference for teaching method, classroom and teachers' attitude between in the gifted class and regular class.

• Korean Journal of Culture and Social Issue
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• v.11 no.1
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• pp.143-156
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• 2005

There is a growing interest in the education of gifted children nation-wide. The present study was performed to find out characteristics of students who are receiving special education as gifted using a new psychological inventory which measures the temperament and charcter separately. We compared students who have been selected for their trlent in math and science with students who do well academically. Academic competence was operationally defined by grades or by IQ. Gifted children are usually thought to be characterized by an innate ability, and it was expected that there would be some difference between temperaments of the gifted group and those of the academically competent group. However, there was no significant difference between the two groups not only in their temperaments, but also in other sub-scales of character. This result suggests that in spite of the extensive effort and cost involved in the selection process, the children who are currently selected as gifted show no distinction when compared to academically competent students. Based on the results some practical suggestions were made in order to improve the selection of the gifted children.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.415-441
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• 2017

The purpose of this study is to develop elementary school math classes for the gifted and talented with a focus on social issues to investigate the possibility of character education through specialized subject classes. As suggested in the goals of the math education for social justice, which provide the fundamental theoretical basis, through mathematics activities with a theme of social issues, mathematically gifted and talented young students can critically perceive social issues, express a sense of mathematical and critical agency throughout the course and develop a willingness and mindset to contribute to social progress. In particular, the concept of Figured Worlds and agency is applied to this study to explain the concept of elementary math classes for the gifted and talented with a focus on social issues. The concept is also used as the theoretical framework for the design and analysis of the curriculum. Figured Worlds is defined as the actual world composed of social and cultural elements (Holland et al., 1998) and can be described as the framework used by the individual or the social structure to perceive and interpret their surroundings. Agency refers to the power of practice that allows one to perceive the potential for change within the Figured Worlds that he is a part of and to change the existing Figured Worlds. This study sees as its purpose the fostering of young talent that has the agency to critically perceive the social structure or Figured Worlds through math classes with a theme of social issues, and thus become a social capital that can contribute to social progress.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.185-205
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• 2011

In this paper, we investigated the mathematical output of a gifted student's independent study. We chose one student who was taking a mentorship course in mathematics at the Gifted Education Center in Chonnam National University, and analyzed the characters of the result which a student showed through the output of independent study and studied the psychological change of a student while he was making a presentation of the results of his study. We found following facts. First, a mentor-independent study improves a mathematical gifted student's inductive thinking and ability to generalize and apply to other cases. Second, presenting a mathematical gifted student's output for mentor-independent study improves his ability of mathematical communication in the abilities of creative problem solving. Finally, there is an increased change in his perception and self-efficacy of mathematics after the presentation.

• Journal of Gifted/Talented Education
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• v.7 no.2
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• pp.19-45
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• 1997

Twenty-three of International Math Olympians raised in Korea were served as the subjects to answer the following questions: (1) What family and school factors contribute to the development of the math talent of the Olympians\ulcorner (2) What impacts have the Olympiad program on the mathematically talented students\ulcorner By means of questionnaire survey and in-depth interview, the related data were collected. The questionnaires were developed by James Campbell for cross-cultural studies. The major findings were as follows: (1) the olympians were mostly 1st-born child and were "discovered" in an early age; (2) most olympians ranked highly in the class; (3) the SES of the Olympians' family were varied, though the majority were high; (4) the Olympians' family support and learning environment were reported strong and positive; (5) the Olympiad experiences were, in general, positive to the subjects, especially in learning attitude toward math and science, self-esteem and in autonomous learning and creative problem solving; (6) there were almost none special program designed for the Olympians during their school years; (7) the degree of computer literacy were varied according to the subject's personal interest and the accessibility to the computer; (8) most Olympians had not yet showed special achievement other than math as there were still students; (9) the Olympians were individuals with unique characteristics.teristics.

• 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.15 no.2
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• pp.385-415
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• 2011

To investigate the more effective mathematical communication process, a recommended teacher and a selected class as an exemplary model was analyzed with Flanders system. The mathematical communicative level was examined to measure content level using the framework analysing the mathematical communicative level(Park & Pang) based on describing levels of math-talk learning community(Hufferd-Ackles). The purposes of this paper are to describe the verbal flow pattern between teacher and students in the elementary school class for mathematically gifted students, and to propose the effective communication model of math-talk with analysis of verbal teaching behavior in the active class. In addition the whole and the parts of the exemplary class sample is respectively analysed to be used practically by elementary school teachers. The results show the active communication process with higher level presents a pattern 'Ask Question${\rightarrow}$Activity (Silence, Confusion or work)${\rightarrow}$Student-Initiated Talk${\rightarrow}$Activity (Silence, Confusion or work), and the teacher's verbal behavior promoting math communication actively is exhibited by indirect influence especially accepting or using ideas.