• Education of Primary School Mathematics
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• v.16 no.3
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• pp.315-331
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• 2013

In this study, lessons on coordinate, percentage, and factorization in prime factors were taken with TI-73 calculator for 20 elementary school students in the 5th grade math gifted class in Pohang city. Through these lessons, the researcher examined with cases how using the calculator would influenced the lessons for the gifted students, and attempted to obtain implications on using calculators as learning tools in class. Activity sheets were made for this study and a 80-minute lesson was held three times for three weeks. In order to collect data, the class was recorded on videotape, the students were interviewed, and documents used in the class were collected. Then all the data were transcribed. Data analysis was completed through several readings of transcripts and main themes were derived by classifying, comparing, and contrasting coding. As a result of the study, the calculator played a role the tool as the mediation to communicate and the challenge their solvable tasks beyond the limitation of paper and pencil environments. But, in using the calculator, there was differences in gender between boys and girls. Above all, to enter commands into the calculator resulted in obstacles for learning process.

• 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.

• Communications of Mathematical Education
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• v.17
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• pp.31-48
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• 2003

영재교육이 우리나라의 미래를 좌우한다는 생각은 이제 매우 설득력을 얻고 있지만 구체적인 학습자료와 이론이 여전히 부족한 상태이다(1999,김주봉). 수학 캠프의 활동에 관한 교육 프로그램은 더욱더 찾아보기 힘들다. 대구광역시 동부교육청 시범영재학급에서는 03년 1월 9일부터 11일까지 2박3일간 동부 계명대학교 자연과학부 백은관에서 영재캠프를 개최하였다. 이번 캠프는 주제탐구중심의 캠프로서 협동심과 창의력중심으로 전국 최초로 이루어졌고, 4학년 22명, 5학년 21명, 6학년 24명 총 67명과 담당장학사1명, 진행도우미 8명, 운영교수진 8명, 체험학습 강사10명 총94명이 참가하였다. 프로그램은 영재교육의 전문가인 교수와 초 중등 현직교사들에 의하여 운영되었고, 프로그램 계획 수립 및 진행총괄은 담당장학사와 본 연구자가 진행하였다. 학생들의 수준의 차이가 적지 않는 데다가 본 연구자는 4개월 동안 캠프를 준비하여 학생들로부터 캠프에 대한 소감을 통하여 결과가 긍정적인 내용이 많아서 매우 성공적인 캠프가 이루어 졌다고 생각한다. 본 고에서는 캠프일정과 운영. 교육프로그램, 주제탐구물 결과에 대하여 살펴볼 것이다.

• 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.

• Communications of Mathematical Education
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• v.16
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• pp.367-386
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• 2003

현재 우리 나라에서는 과학영재교육원을 설립하여 초 ${\cdot}$ 중학생을 대상으로 영재 교육 프로그램을 운영하고 있다. 하지만 실제 초등학생보다는 중학생에 초점을 두고 이루어지고 있으며 프로그램의 내용 역시 일반화되어 있지 못하다. 특히 영재교육진흥법과 시행령이 통과되어 올해부터 영재 학교 ${\cdot}$ 학급이 운영되고 있는 현시점에서 영재들을 교육시킬 교수 ${\cdot}$ 학습자료의 개발이 절실히 요구되고 있다. 따라서 문제해결력중심, 수학실험중심, 수학탐구중심이면서 수학분야에 흥미가 있고 재능이 있는 아동들에게 수학적인 힘을 강화하고 자발적인 학습 태도를 배양시킬 수 있는 초등학교 중학년 영재아들을 위한 학습자료를 개발하는데 이 연구의 목적이 있다.

• School Mathematics
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• v.16 no.1
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• pp.39-56
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• 2014

This study analysed 8 gifted students' behavior of using calculator in the 5th grade based on qualitative data of direct proportion class with the utilization of the calculator. Pretesting with questionnaire had been made to verify students' developmental stages of proportional reasoning, and the stage was categorized according to Baxter & Junker (2001). The learning contents were made of worksheet, and the researcher held the class for 60 minutes. For analysing data, record of class was gathered to make a transcript and analysed it with Guin & Trouche' behavior of using calculator type. According to the result, each type of the behavior affected students' development of proportional reasoning differently.

• Journal of Educational Research in Mathematics
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• v.21 no.3
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• pp.279-294
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• 2011

The purposes of this study are to confirm the standard of ethical judgement ability of the mathematically gifted students and examine which factor makes on the ethical judgement ability among the mathematically behavior characteristics. For it, correlation analysis and regression analysis between the two things were conducted with SPSS 12.0 based on the results of mathematically behavior characteristic inspection and ethical judgement ability inspection. Also, the interview was conducted for students whose KDIT score is the highest and the results were intended to apply the results as the material supporting the results of qualitative test results. The interview with students examined which mathematically behavior characteristic factor made an effect on his own ethical judgement ability through the structural questionnaires.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.351-370
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• 2013

The purpose of this study is to analyze the modes of visualization which appears in the process of thinking that mathematically gifted 6th grade students get to understand components of the three-dimensional shapes on the duality of regular polyhedrons, find the duality relation between the relations of such components, and further explore on whether such duality relation comes into existence in other regular polyhedrons. The results identified in this study are as follows: First, as components required for the process of exploring the duality relation of polyhedrons, there exist primary elements such as the number of faces, the number of vertexes, and the number of edges, and secondary elements such as the number of vertexes gathered at the same face and the number of faces gathered at the same vertex. Second, when exploring the duality relation of regular polyhedrons, mathematically gifted students solved the problems by using various modes of spatial visualization. They tried mainly to use visual distinction, dimension conversion, figure-background perception, position perception, ability to create a new thing, pattern transformation, and rearrangement. In this study, by investigating students' reactions which can appear in the process of exploring geometry problems and analyzing such reactions in conjunction with modes of visualization, modes of spatial visualization which are frequently used by a majority of students have been investigated and reactions relating to spatial visualization that a few students creatively used have been examined. Through such various reactions, the students' thinking in exploring three dimensional shapes could be understood.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.557-580
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• 2017

The purpose of this study is developing the manifestation process model of group creativity among mathematically gifted students. Therefore, I designed the manifestation process model of group creativity by researching the existing literatures on group creativity and mathematical creativity. The manifestation process model of group creativity was applied to mathematically gifted students' class. By analyzing students' response, the manifestation process model of group creativity was improved and concretized. In conclusion, the process of a combination of contributions was concretized and the major variables on group creativity such as a diversity, conflict, emotionally supportive environment and social comparison were verified. In addition, some reflective processes was discovered from a case study.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.505-530
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• 2017

Although mathematically gifted students have potential and creative productivity, they might not manifest group level creative synergy. To manifest group creativity among them, the manifestation process should be facilitated and the process losses should be minimized. The purpose of this study is looking for the method to facilitate the manifestation process of group creativity and minimize the process losses of it. To do this, a case study method was adopted. The products and process losses of the manifestation process of group creativity was analysed. In conclusion, the processes and products of group creativity were concretized and the process losses were analysed by social/motivational and cognitive factors. In addition, the justification and agreement were necessary for the manifestation process of group creativity among mathematically gifted students.