• Journal of Elementary Mathematics Education in Korea
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• v.13 no.2
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• pp.163-192
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• 2009

Currently, our country operates gifted education only as a special curriculum, which results in many problems, e.g., there are few beneficiaries of gifted education, considerable time and effort are required to gifted students, and gifted students' educational needs are ignored during the operation of regular curriculum. In order to solve these problems, the present study formulates the following research questions, finding it advisable to conduct gifted education in elementary regular classrooms within the scope of the regular curriculum. A. To devise a teaching plan for the gifted students on mathematics in the elementary school regular classroom. B. To develop a learning program for the gifted students in the elementary school regular classroom. C. To apply an in-depth learning program to gifted students in mathematics and analyze the effectiveness of the program. In order to answer these questions, a teaching plan was provided for the gifted students in mathematics using a differentiating instruction type. This type was developed by researching literature reviews. Primarily, those on characteristics of gifted students in mathematics and teaching-learning models for gifted education. In order to instruct the gifted students on mathematics in the regular classrooms, an in-depth learning program was developed. The gifted students were selected through teachers' recommendation and an advanced placement test. Furthermore, the effectiveness of the gifted education in mathematics and the possibility of the differentiating teaching type in the regular classrooms were determined. The analysis was applied through an in-depth learning program of selected gifted students in mathematics. To this end, an in-depth learning program developed in the present study was applied to 6 gifted students in mathematics in one first grade class of D Elementary School located in Nowon-gu, Seoul through a 10-period instruction. Thereafter, learning outputs, math diaries, teacher's checklist, interviews, video tape recordings the instruction were collected and analyzed. Based on instruction research and data analysis stated above, the following results were obtained. First, it was possible to implement the gifted education in mathematics using a differentiating instruction type in the regular classrooms, without incurring any significant difficulty to the teachers, the gifted students, and the non-gifted students. Specifically, this instruction was effective for the gifted students in mathematics. Since the gifted students have self-directed learning capability, the teacher can teach lessons to the gifted students individually or in a group, while teaching lessons to the non-gifted students. The teacher can take time to check the learning state of the gifted students and advise them, while the non-gifted students are solving their problems. Second, an in-depth learning program connected with the regular curriculum, was developed for the gifted students, and greatly effective to their development of mathematical thinking skills and creativity. The in-depth learning program held the interest of the gifted students and stimulated their mathematical thinking. It led to the creative learning results, and positively changed their attitude toward mathematics. Third, the gifted students with the most favorable results who took both teacher's recommendation and advanced placement test were more self-directed capable and task committed. They also showed favorable results of the in-depth learning program. Based on the foregoing study results, the conclusions are as follows: First, gifted education using a differentiating instruction type can be conducted for gifted students on mathematics in the elementary regular classrooms. This type of instruction conforms to the characteristics of the gifted students in mathematics and is greatly effective. Since the gifted students in mathematics have self-directed learning capabilities and task-commitment, their mathematical thinking skills and creativity were enhanced during individual exploration and learning through an in-depth learning program in a differentiating instruction. Second, when a differentiating instruction type is implemented, beneficiaries of gifted education will be enhanced. Gifted students and their parents' satisfaction with what their children are learning at school will increase. Teachers will have a better understanding of gifted education. Third, an in-depth learning program for gifted students on mathematics in the regular classrooms, should conform with an instructing and learning model for gifted education. This program should include various and creative contents by deepening the regular curriculum. Fourth, if an in-depth learning program is applied to the gifted students on mathematics in the regular classrooms, it can enhance their gifted abilities, change their attitude toward mathematics positively, and increase their creativity.

• East Asian mathematical journal
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• v.37 no.4
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• pp.443-460
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• 2021

This study analyzes the characteristics of elementary math gifted classes through the development and application of teaching and learning materials. We used the guided reinvention methods including quasi-experiential perspectives. To this end, the applicability of Lakatos' quasi-empirical mathematical philosophy in elementary mathematics was examined, and the criteria for the development of teaching and learning materials for gifted students were presented, and then this study was conducted in this theoretical background. The subjects of the study were 21 elementary students at P University's Institute of Science and Gifted Education, and non-face-to-face real-time classes were conducted. Classes were divided into introduction, deployment1, deployment2, organization stages, and in each stage, small group cooperative learning was conducted based on group activities, and in this process, the characteristics of elementary mathematics gifted were analyzed. As a result of the study, elementary mathematics gifted students did not clearly present the essence of justification in the addition algorithm of fractions, but presented various interpretations of 'wrong' mathematics. They also showed their ingenuity in the process of spontaneously developing 'wrong' mathematics. On the other hand, by taking interest in new mathematics starting from 'wrong' mathematics, negative perceptions about it could be improved positively. It is expected that the development of teaching and learning materials dealing with various and original topics for the gifted students in elementary school will proceed through follow-up research.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.123-148
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• 2014

The purpose of this study is to figure out the perceptional characteristics of mathematically gifted elementary students by comparing the mathematical reasoning ability and errors between mathematically gifted elementary students and non-gifted students. This research has been targeted at 63 gifted students from 5 elementary schools and 63 non-gifted students from 4 elementary schools. The result of this research is as follows. First, mathematically gifted elementary students have higher inductive reasoning ability compared to non-gifted students. Mathematically gifted elementary students collected proper, accurate, systematic data. Second, mathematically gifted elementary students have higher inductive analogical ability compared to non-gifted students. Mathematically gifted elementary students figure out structural similarity and background better than non-gifted students. Third, mathematically gifted elementary students have higher deductive reasoning ability compared to non-gifted students. Zero error ratio was significantly low for both mathematically gifted elementary students and non-gifted students in deductive reasoning, however, mathematically gifted elementary students presented more general and appropriate data compared to non-gifted students and less reasoning step was achieved. Also, thinking process was well delivered compared to non-gifted students. Fourth, mathematically gifted elementary students committed fewer errors in comparison with non-gifted students. Both mathematically gifted elementary students and non-gifted students made the most mistakes in solving process, however, the number of the errors was less in mathematically gifted elementary students.

• Research in Mathematical Education
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• v.5 no.2
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• pp.87-98
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• 2001

The Center for Science Gifted Education (CSGE) of Chongju National University of Education was established in 1998 with the financial support of the Korea. Science & Engineering Foundation (KOSEF). In fact, we had prepared mathematics and science gifted education program beginning in 1997. It was possible due to the commitment of faculty members with an interest in gifted education. Now we have 5 classes in Mathematics, two of which are fundamental, one of which is a strengthened second-grade class gifted elementary school students, and one a fundamental class, and one a strengthened class for gifted middle school students in Chungbuk province. Each class consists of 16 students selected by a rigorous examination and filtering process. Also we have a mentoring system for particularly gifted students in mathematics. We have a number of programs for Super-Saturday, Summer School, Winter School, and Mathematics and Science Gifted Camp. Each program is suitable for 90 or 180 minutes of class time. The types of tasks developed can be divided into experimental, group discussion, open-ended problem solving, and exposition and problem solving tasks. Levels of the tasks developed for talented elementary students in mathematics can be further divided into grade 5 and under, grade 6, and grade 7 and over. Types of the tasks developed can be divided into experimental, group discussion, open-ended problem solving, and exposition and problem solving task. Also levels of the tasks developed for talented elementary students in mathematics can be divided into the level of lower than grade 5, level of grade 6, and level of more than grade 7. Three tasks developed and practiced are reported in this article.

• 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.

• School Mathematics
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• v.15 no.3
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• pp.585-601
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• 2013

The purpose of this study is to investigate the relationship of communication skills and self-directed learning ability between mathematically gifted elementary students and non-gifted students. The subjects include 126 mathematically gifted elementary students from gifted education centers and gifted classes in elementary schools in D Metropolitan City and 124 non-gifted students that were non categorized as gifted students or special children in the same city. Employed in the study were the tests of communication skills and self-directed learning ability. Through this study, there are notable differences in communication skills and self-directed learning ability between mathematically gifted students and non-gifted students. Thus, those communication skills and self-directed learning ability should be taken into account when organizing and running a curriculum. In addition, developing a program for mathematically gifted students, as well as in teaching and learning communication skills and self-directed learning ability sufficient to consider the interrelationships between.

• East Asian mathematical journal
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• v.38 no.4
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• pp.463-496
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• 2022

The purpose of this study is to analyze the mathematical creativity and computational thinking of mathematically gifted elementary students through a convergence class using programming and to identify what it means to provide the convergence class using Python for the mathematical creativity and computational thinking of mathematically gifted elementary students. To this end, the content of the nine sessions of the Python-applied convergence programs were developed, exploratory and heuristic case study was conducted to observe and analyze the mathematical creativity and computational thinking of mathematically gifted elementary students. The subject of this study was a single group of sixteen students from the mathematics and science gifted class, and the content of the nine sessions of the Python convergence class was recorded on their tablets. Additional data was collected through audio recording, observation. In fact, in order to solve a given problem creatively, students not only naturally organized and formalized existing mathematical concepts, mathematical symbols, and programming instructions, but also showed divergent thinking to solve problems flexibly from various perspectives. In addition, students experienced abstraction, iterative thinking, and critical thinking through activities to remove unnecessary elements, extract key elements, analyze mathematical concepts, and decompose problems into small components, and math gifted students showed a sense of achievement and challenge.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.283-309
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• 2016

The purpose of this study is to investigate gifted students in elementary mathematics how they understand of situations involving multiplication and concepts of multiplication. For this purpose, first, this study analyzed the teacher's guidebooks about introducing the concept of multiplication in elementary school. Second, we analyzed multiplication problems that gifted students posed. Third, we interviewed gifted students to research how they understand the concepts of multiplication. The result of this study can be summarized as follows: First, the concept of multiplication was introduced by repeated addition and times idea in elementary school. Since the 2007 revised curriculum, it was introduced based on times idea. Second, gifted students mainly posed situations of repeated addition. Also many gifted students understand the multiplication as only repeated addition and have poor understanding about times idea and pairs set.

• Journal of Gifted/Talented Education
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• v.17 no.2
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• pp.307-337
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• 2007

The purpose of this study is to verify the validity of a creativity measurement tool and to discover the creativity characteristics of creative gifted students by assessing the difference in the creativity characteristics of creative gifted students, who were selected from gifted students in elementary and middle schools through the Torrance Test of Creative Thinking(TTCT), according to school level and the type of the students (gifted student in mathematics, gifted student in science). To this research purpose, creative gifted students were selected by the Torrance Test of Creative Thinking(TTCT) on 594 students, who had applied for super gifted education, from 17 gifted students institutes under the jurisdiction of Jeollabukdo office of education, Then, t-tests and multiple regression analysis were performed to analyze the creativity factors between elementary students and middle school students and between mathematics-gifted students and science-gifted students. From the research, the following results were obtained. Although TTCT is effective in distinguishing gifted students with and without creativity, correlation coefficient values between creativity factors(the correlation coefficients between 'fluency' and 'originality' and between 'fluency' and 'elaboration' were .78 and .50 respectively) suggested the possibility of low uniqueness of creativity factors. In addition, compared with elementary students, middle school students showed significantly lower fluency (circles), elaboration(picture construction, picture completion), and the abstractness of titles(picture structure). In the meantime, science-gifted students displayed significantly higher originality(picture construction), and elaboration(picture construction, picture completion, circles) than mathematics-gifted students. Therefore, continuous study is required to enhance the validity of the test for the selection of creativity gifted students. Besides, efforts should be made to find ways to enhance the creativity of gifted students and to resolve the problem of decreasing creativity with student academic level increasing.

• 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.