• 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.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.99-118
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• 2011

For this case study of gifted education, two classrooms in two locations, show life in general of the gifted educational system. And for this case study the identity of teachers and the gifted, help to activate the mathematically gifted education for these research questions, which are as followed: Firstly, how is the gifted education classroom life? Secondly, what kind of identity do the teachers and gifted students bring to mathematics, mathematics teaching and mathematics learning? Being selected in the gifted children's education center solves the research problem of characteristic and approach. Backed by the condition and the permission possibility, 2 selected classes and 2 people, which are coming and going. Gifted education classroom life, the identity of teachers and gifted students in mathematics and mathematics teaching and mathematic learning. It will be for 3 months, with various recordings and vocal instruction between teacher and students. Collected observations and interviews will be analyzed over the course of instruction. The results analyzed include, social participation, structure, and the formation of the gifted education classroom life. The organization of classes were analyzed by the classes conscious levels to collect and retain data. The classes verification levels depended on the program's first class incentive, teaching and learning levels and understanding of gifted math. A performance assessment will be applied after the final lesson and a consultation with parents and students after the final class. The six kinds of social participation structure come out of the type of the most important roles in gifted education accounts, for these types of group discussions and interactions, students must have an interaction or individual activity that students can use, such as a work product through the real materials, which release teachers and other students for that type of questions to evaluate. In order for the development of meaningful mathematical concepts to formulate, mathematical principles require problem solving among all students, which will appear in the resolution or it will be impossible to map the meaning of the instruction from which it was formed. These results show the analysis of the mathematics, mathematics teaching, mathematics learning and about the identity of the teachers and gifted. Gifted education teachers are defined by gifted math, which is more difficult and requires more differentiated learning, suitable for gifted students. Gifted was defined when higher level math was created and challenged students to deeper thinking. Gifted students think that gifted math is creative learning and they are forward or passive to one-way according to the education atmosphere.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.95-111
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• 2015

The purpose of this study is to analyze cases on teaching solutions exploration of Wythoff's game through using the analogy for the gifted elementary students, to suggest useful teaching methods. Students recognized structural similarity among problems on the basis of relevance of conditions of problems. The discovery of structural similarity improves the ability to solve problems. Although 2 groups-NIM game with surface similarity is not helpful in solving Wythoff's game, Queen's move game with structural similarity makes it easier for students to solve Wythoff's game. Useful teaching methods to find solutions of Wythoff's game through using the analogy are as follow. Encoding process helps students make sense of the game. It is significant to help students realize how many stones are remained and how the location of Queen can be expressed by the ordered pair. Inferring process helps students find a solution of 2 groups-NIM game and Queen's move game. It is necessary to find a winning strategy through reversely solving method. Mapping process helps students discover surface similarity and structural similarity through identifying commonalities between the two games. It is crucial to recognize the relationship among the two games based on the teaching in the Encoding process. Application process encourages students to find a solution of Wythoff's game. It is more important to find a solution by using the structural similarity of the Queen's move game rather than reversely solving method.

• Education of Primary School Mathematics
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• v.18 no.3
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• pp.203-216
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• 2015

This study analyzed changes of representations which had come up in the problem-solving process of math-gifted 6th grade students that ACODESA had been applied. The class was designed on a ACODESA procedure that enhancing the use of varied representations, and conducted for 40minutes, 4 times over the period. The recorded videos and interviews with the students were transcribed for analysing data. According to the result of the analysis, which adopted Despina's using type of representation, there appeared types of 'adding', 'elaborating', and 'reducing'. This study found that there is need for a class design that can make personal representations into that of public through small group discussions and confirmation in the problem-solving process.

• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.153-176
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• 2007

The purpose of this paper is to analyze teaching-learning program which can be applied to mathematically gifted students in primary school, Our program is based on constructivist views on teaching and learning of mathematics. Mainly, we study the algorithmic thinking of mathematically gifted students in primary school in connection with the network problems; Eulerian graph problem, the minimum connector problem, and the shortest path problem, The above 3-subjects are not familiar with primary school mathematics, so that we adapt teaching-learning model based on the social constructivism. To achieve the purpose of this study, seventeen students in primary school participated in the study, and video type(observation) and student's mathematical note were used for collecting data while the students studied. The results of our study were summarized as follows: First, network problems based on teaching-learning model of constructivist views help students learn the algorithmic thinking. Second, the teaching-learning model based on constructivist views gives an opportunity of various mathematical thinking experience. Finally, the teaching-learning model based on constructivist views needs more the ability of teacher's research and the time of teaching for students than an ordinary teaching-learning model.

• School Mathematics
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• v.17 no.1
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• pp.47-63
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• 2015

In this study, we will develope and apply the education program for mathematical creativity, with the open-ended problems about development figure. The purpose of this study is to categorize the elements of the mathematical creativity in consideration of the real class, and is to design a education program that reflects this. To do this, from 2006 through 2014, by targeting 205 gifted students in the sixth grade until eighth grade of Busan, Gyeongnam, Gyeongbuk were carried out in class. Also in this study, we will examine the process and the results of its application. As a result, students' outcomes and behavioral reactions brought about a qualitative development of the program, and students became aware of the participants in the development of the program. These results suggest the aim of developing a education program for mathematical creativity, as well as the effectiveness of this education program.

• School Mathematics
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• v.15 no.3
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• pp.619-632
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• 2013

One area where research is especially needed is their elaboration process and how they elaborate their idea as a group in a mathematical board game re-creation project. In this research, this process was named 'Mathematical Elaboration Process'. The purpose of this research is to understand how the gifted children elaborate their idea in a small group, and which idea can be chosen for a new board game when they are exposed to a project for making new mathematical board games using the what-if-not strategy. One of the gifted children's classes was chosen in which there were twenty students, and the class was composed of four groups in an elementary school in Korea. The researcher presented a series of re-creation game projects to them during the course of five weeks. To interpret their process of elaborating, the communication of the gifted students was recorded and transcribed. Students' elaboration processes were constructed through the interaction of both the mathematical route and the non-mathematical route. In the mathematical route, there were three routes; favorable thoughts, unfavorable thoughts and a neutral route. Favorable thoughts was concluded as 'Accepting', unfavorable thoughts resulted in 'Rejecting', and finally, the neutral route lead to a 'non-mathematical route'. Mainly, in a mathematical route, the reason of accepting the rule was mathematical thinking and logical reasons. The gifted children also show four categorized non-mathematical reactions when they re-created a mathematical board game; Inconsistency, Liking, Social Proof and Authority.

• 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.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.117-145
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• 2006

Mathematically gifted children have creative curiosity about novel tasks deriving from their natural mathematical talents, aptitudes, intellectual abilities and creativities. More effect in nurturing the creative thinking found in brilliant children, letting them approach problem solving in various ways and make strategic attempts is needed. Given this perspective, it is desirable to select open-ended and atypical problems as a task for educational program for gifted children. In this paper, various types of open-ended problems were framed and based on these, teaming activities were adapted into gifted children's class. Then in the problem solving process, the characteristic of bright children's mathematical thinking ability and examples of problem solving strategies were analyzed so that suggestions about classes for bright children utilizing open-ended tasks at elementary schools could be achieved. For this, an open-ended task made of 24 inquiries was structured, the teaching procedure was made of three steps properly transforming Renzulli's Enrichment Triad Model, and 24 periods of classes were progressed according to the teaching plan. One period of class for each subcategories of mathematical thinking ability; ability of intuitional insight, systematizing information, space formation/visualization, mathematical abstraction, mathematical reasoning, and reflective thinking were chosen and analyzed regarding teaching, teaming process and products. Problem solving examples that could be anticipated through teaching and teaming process and products analysis, and creative problem solving examples were suggested, and suggestions about teaching bright children using open-ended tasks were deduced based on the analysis of the characteristic of tasks, role of the teacher, impartiality and probability of approaching through reflecting the classes. Through the case study of a mathematics class for bright children making use of open-ended tasks proved to satisfy the curiosity of the students, and was proved to be effective for providing and forming a habit of various mathematical thinking experiences by establishing atypical mathematical problem solving strategies. This study is meaningful in that it provided mathematically gifted children's problem solving procedures about open-ended problems and it made an attempt at concrete and practical case study about classes fur gifted children while most of studies on education for gifted children in this country focus on the studies on basic theories or quantitative studies.

• Proceedings of The KACE
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• 2017.08a
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• pp.185-188
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• 2017

본 논문에서는 과학영재교육원 초등심화 수학 정보 과정의 30명을 대상으로 프로그래밍 학습을 수행한 후 사회성의 변화를 분석하였다. 수업에서는 교육용 프로그래밍 언어인 스크래치의 리믹스 기능을 활용하였으며, 협동학습이 가능하도록 동료 학습자의 프로젝트를 수정 보완하도록 하고 최종적으로 팀 단위의 결과물을 도출하였다. 연구결과에 따르면, 스크래치의 리믹스 기능을 활용한 프로그래밍 학습이 사회성 향상에 통계적으로 유의미하며, 사회성 구성 요소인 사교성, 자주성, 협동심에서 긍정적인 효과가 있는 것으로 나타났다.