• Journal of Gifted/Talented Education
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• v.11 no.3
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• pp.175-202
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• 2001

The purpose of this work is to analyze various mathematics programs and related studies for gifted students of secondary school, to extract meaningful suggestions, and to develop some mathematics materials to realize our suggestions. We analyzed mathematics curriculum drafts for gifted students(by KEDI), mathematics program for the gifted students of Russia, and mathematics programs of some specialist of gifted education. We were able to extract some important aspects for developing teaching & teaming materials. Especially in this study we took notice of systematization of mathematical problems, and suggested a model of systematization of mathematical problems.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.171-197
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• 2004

1999년 교육개발원에서는 초 ${\cdot}$ 중학교 영재 교육과정 시안 개발을 위한 기초연구와 수학과 영재 교육과정 시안에 관한 보고서를 발간하였는데 이 보고서에 초 ${\cdot}$ 중학교 수학과 영재 교육과정 시안이 제시되어 있다. 이 영재 교육과정 시안으로써 그 내용에 상응하는 수학 교수 ·학습 자료 개발이 절실히 요구되고 있다. 한국교육개발원에서는 영재 교수 ${\cdot}$ 학습 자료개발 및 영재교사 연수가 본격적으로 확대, 추진되고 있는 실정이며 또한 2002년${\sim}$2003년 2년간 한국교육개발원에서는 영재학생을 위한 교수 ${\cdot}$ 학습 자료를 개발하여 왔다. 이런 취지를 바탕으로 지금 우리에게 영재 교육의 시급한 문제는 초 ${\cdot}$ 중등에 필요한 다양한 영재 교육프로그램을 마련하는데 있다. 본 연구에서는 한국교육개발원에서 마련한 교재개발 지침에 따라 2005학년도 교수 학습 자료를 중학교중심으로 영재 교육 프로그램을 구현해 보고자 한다.

• Communications of Mathematical Education
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• v.16
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• pp.311-330
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• 2003

2000년 1월 28일에 영재교육진흥법이 제정 ${\cdot}$ 공포되었고, 2002년 4월 18일에 영재교육진흥법시행령이 공포됨에 따라 본격적으로 공교육 차원의 영재교육이 실시되고 있다. 그에 따라 영재교육의 목적을 이룰 수 있는 적절하고 다양한 교수-학습 자료의 개발이 시급한 쟁점으로 부각되었고, 비로소 2002년 6월 15개 시${\cdot}$도 교육청이 한국교육개발원에 위탁해 영재학급과 영재교육원에 투입할 학년별 50차시 분의 초등학교 4${\sim}$6학년 영재 심화 교수-학습 자료를 개발하게 되었다. 하지만 영재교육의 내실을 기하고 활성화를 위해서는 좀 더 다양한 교수-학습자료가 지속적으로 개발되어야 하며 많은 시도가 있어야 한다. 따라서 본 연구에서는 영재학급용으로 개발된 심화 교수-학습 자료에 제시되지 않은 내용을 중심으로 영재학급에 활용할 수 있는 초등학교 5${\sim}$6학년 수학 영재교육을 위한 학습자료를 개발하고자 한다.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.79-97
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• 2011

As the necessity of the special education for the gifted to develop their talents and national power is gradually recognized, many kinds of teaching-learning materials have been developed. However, the development tendency of the materials is not systematically studied because their database is not sufficiently constructed nor most of them are made public. In this research, we would like to provide the reference data to improve the quality of developed materials and reduce the deviation among the classified fields when we will develop the teaching-learning materials by collecting the already developed materials and analyse their development tendency by classifying them according to the contents.

• School Mathematics
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• v.7 no.2
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• pp.169-192
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• 2005

The purpose of this study is to provide the conformity for developing project-based teaching$\cdot$learning materials for the mathematically gifted students. And this study presents development procedural model in order to improve the effectiveness, analyze its practical usage and examine the verification of the developed materials. It made the following results regarding the development of project-based teaching$\cdot$learning materials for gifted children in mathematics. First, it is necessary to provide appropriate teaching$\cdot$learning model to develop the materials, and the materials should be restructured to be available to other level students. Second, it is suggested to develop a prototype in order to develop teaching$\cdot$learning materials for gifted children in mathematics, further the prototype needs to be restructured until it satisfies theoretical frame. Third, an introduction should be made before the activity to perform the projects effectively. Fourth, a teacher's guidance should introduce children's examples corresponding to the objectives of learning, the examples of topics examined by students, and teacher's manual and attention for teaching. This study has a point of presenting the detailed guidelines with regards to development of teaching$\cdot$learning materials for gifted students in mathematics. This study has a point of presenting the detailed guidees with regards to development of teaching$\cdot$learning materials for gifted students in mathematics.

• Journal of Gifted/Talented Education
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• v.12 no.2
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• pp.31-56
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• 2002

Providing gifted education should be based on the principle of differentiation, that is, paying close attention to the individual characteristics of the gifted. The gifted are known to be the fast learners with autonomous studying ability and high levels of thinking and creativity, which certainly differentiate them from the ordinary others. Thus, the program for the gifted should fundamentally differ from other general programs. The need for gifted education is growing as our society has turned into the knowledge-based society. Fortunately, on December 28th, 1999, a law in favor of gifted education was passed. According to the law, gifted education will be actively provided under the government's support from the year 2002. In this context, this study is intended to search for the model of developing instructional materials for the gifted. The output materials of this study are to be used in gifted schools which will be built in the near future. The curriculum for the gifted consists of three parts: basic curriculum, in-depth curriculum, and optional curriculum. The learning and instructional materials developed in this study are to be used for the in-depth curriculum. In order to develop the materials, various theoretical models related to gifted education were reviewed. Finally, a theoretical model was developed. On the basis of the model, several instructional materials are developed and the possibility of application are considered.

• 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.

• Communications of Mathematical Education
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• v.17
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• pp.1-16
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• 2003

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2008.05a
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• pp.458-462
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• 2008

교육에서 수월성의 문제가 처음 제기된 문제는 아니지만 국가 간의 경쟁력이란 차원에서뿐만 아니라 교육환경의 개선이란 차원에서도 현대사회에서 창의적인 사고력을 지닌 학생의 교육이 무엇보다 강조되고 있다. 이 논문에서는 정보 영재의 교육 중에서 프로그래밍을 위한 사고력 신장에 적합한 교수-학습 모형 개발 및 적용에 목적을 두고 있다. 제안된 교수-학습 모형에서 자료구조로는 트리를 구성하고 제어구조로는 recursion 개념을 학습하도록 하고 있다. 정보 영재 지도에 도입할 수 있는 가능성을 모색하기 위해 교수-학습 모형을 현장에 적용하여 교육 프로그램 개발의 타당성을 검증한다. 예제로 선택한 하노이 타워를 트리로 구성하는 방법과 트리 탐색의 방법으로서 recursion 개념을 적용하는 교수-학습 활동으로 사고력 신장을 위한 교육 프로그램 개발의 타당성을 검증한다.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.335-351
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• 2016

The purpose of this study is to develop Project-Based Teaching-Learning materials for mathematically gifted students using a Fermat Point and apply the developed educational materials to practical classes, analyze, revise and correct them in order to make the materials be used in the field. I reached the conclusions as follows. First, Fermat Point is a good learning materials for mathematically gifted students. Second, when the students first meet the challenge of solving a problem, they observed, analyzed and speculated it with their prior knowledge. Third, students thought deductively and analogically in the process of drawing a conclusion based on observation. Fourth, students thought critically in the process of refuting the speculation. From the result of this study, the following suggestions can be supported. First, it is necessary to develop Teaching-Learning materials sustainedly for mathematically gifted students. Second, there needs a valuation criteria to analyze how learning materials were contributed to increase the mathematical ability. Third, there needs a follow up study about what characteristics of gifted students appeared.