• 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.7 no.4
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• pp.353-373
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• 2005

The purpose of this paper is to analysis the basic network problem which can be applied to the mathematically gifted students in elementary school. Mainly, we discuss didactic transpositions of the double counting principle, the game of sprouts, Eulerian graph problem, and the minimum connector problem. Here the double counting principle is related to the handshaking lemma; in any graph, the sum of all the vertex-degree is equal to the number of edges. The selection of these subjects are based on the viewpoint; to familiar to graph theory, to raise algorithmic thinking, to apply to the real-world problem. The theoretical background of didactic transpositions of these subjects are based on the Polya's mathematical heuristics and Lakatos's philosophy of mathematics; quasi-empirical, proofs and refutations as a logic of mathematical discovery.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.621-636
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• 2013

In this paper we intended to present the case of mentorship program for the gifted in elementary mathematics education, which is related with Waldorf education. We installed the program to four six-grade students during six months. We focused on cultivating integrated perspective, aesthetic perspective and substantial skills. For the aim we dealt with the item, construction based on the aesthetic experiences. Finally we presented three main ideas, construction of regular polygons and flowers, construction of islamic design, and farmland cleanup with construction. We also contained the students' project in this paper.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.415-444
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• 2010

The purpose of this study is to provide information that will help understand unique characteristics of mathematically gifted students and that can be utilized for special programs for mathematically gifted students, by investigating difference and relationship between attribution styles and attitude toward mathematics of mathematically gifted students and those of regular students. For that purpose, 202 mathematically gifted students and 415 regular students in 5th and 6th grades at elementary schools were surveyed in terms of attribution styles and attitude toward mathematics, and the result of the study is as follows. First, as for attribution styles, there was no difference between gifted students and regular students in terms of grade and gender, but there was significant difference in sub factors because of giftedness. Second, there was not significant difference between grades. but there was significant difference in sub factors between genders. Mathematically gifted students were more positive than regular students in every sub factor excepting gender role conformity, and especially they showed higher confidence and motivation. Third, according to the result of correlation analysis, there was significant static correlation between inner tendencies and attitude toward mathematics with both groups. The gifted group showed higher correlation between attribution of effort and attitude toward mathematics and inner tendencies and confidence than the regular group. The gifted group showed higher correlation in sub factors, and especially there was high static correlation between attribution of talent and confidence, and attribution of effort and motivation. Fourth, according to the result of multiple regression analysis, inner tendencies showed significant relation to attitude toward mathematics with both groups, and especially the influence of attribution of effort was high. Both attribution of effort and attribution of talent were higher in the gifted group than the regular group, and attribution of effort had a major influence on practicality and attribution of talent had a major influence on confidence.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.389-413
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• 2011

This study had suggested the direction and implications of mathematics education for the gifted student by looking into domestic research trends in relation with mathematics education for the talented children from 2000 to 2010. 168 theses were analyzed by researching theses about mathematics education for the talented children and the total 10 kinds of special journals that are registered or to be registered at National Research Foundation of Korea in order to find a research trend about mathematics education for the talented children. As a result of analyzing theses of each year, the number of theses on mathematics education for the talented children has been increasing largely since2004 and it is steadily being conducted until now. As a result of analyzing theses for each research theme, frequency was shown in order of development research about educational course program for mathematics education for the talented children and research on characteristics of the talented children. For analysis result of research target, research targeting elementary school students has taken great importance. For the aspect of research methods, research about development of program and research tool was used in theses and qualitative research method was mainly used in journals and therefore a direction of mathematics education for the talented children was discussed according to this.

• Journal of The Korean Association of Information Education
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• v.16 no.3
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• pp.299-307
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• 2012

Even though there are many models for educational curriculum of giftedness for children, there is little model for educational methodology and curriculum of information science giftedness of children. A curriculum model for information science giftedness of children is proposed on this study. This model's characteristics is a modular integrated curriculum model combined the mathematics, natural science, and information science. Because there is no regular curriculums of information science at elementary school. this model is valided. Also, There is also need to train multiple areas in the field of information science to expose information science giftedness of the children, This model is to minimize the relationship between modules, and to maximize the cohesion in the each module. As for result of statistics analysis for 60 giftedness students during three years, we know the effectiveness of this model.

• Journal of Gifted/Talented Education
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• v.22 no.3
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• pp.757-777
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• 2012

Peer relationships in young students' communities are one of the important factors influencing the cognitive and affective domains of learning. Moreover, students who join the special program for gifted students possess differential peer relationships from the students in general classes. This study aims to explore the differences of 5th grade five science-gifted students' peer relationships between students in special classes for gifted students and general classes. Five students in the special program for gifted students, managed by the Office of Education in a southern city, participated in this study. Social network analyses were utilized to explore participants' peer relationships; the students' homeroom teacher was interviewed to explore the contextual and in-depth characteristics of gifted students' peer relationships. The results illustrated four cases of peer relationships: (1) smart loner (2) my study mate (3) I'm the best in my class, and (4) a good friend anywhere. This study identified that the gifted students possessed diverse peer relationships in both the special program and general classroom. In addition, this study suggests that the program for gifted students needs to be specially designed based on the gifted students' peer relationship.

• 한국정보교육학회:학술대회논문집
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• 2004.08a
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• pp.289-297
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• 2004

정보들을 잘 다루는 소수의 인재들만으로도 국가의 경제적 부가가치가 크게 높아지고 있는 지금, 이러한 변화에 맞추어 고급 두뇌인력을 배출하는 영재교육에 대한 관심이 높아지고 있다. 특히 수학, 과학영재에 관한 연구는 무수히 많이 이루어져 있으나 정작 21세기 정보화 사회를 이끌어갈 정보영재에 관한 연구는 미흡한 실정이다. 그러므로 현재 우리나라 정보영재교육에서 무엇보다 시급한 것은 정보영재들의 인지적 정의적 특성에 대한 실증적인 자료의 분석과 이에 대한 연구이다. 그렇다면 정보영재들의 특성은 실제로 어떠할까 라는 의문이 제기된다. 영재관련 연구 중 많이 인용되며 정의적 요소가 포함된 Renzulli(1978)의 삼원모델(Three-ring model)을 보면 영재의 특성을 극단적으로 높을 필요는 없는 '평균 이상의 능력', '높은 창의성', '높은 과제 집착력'으로 보고 있다. 본 고에서는 정보영재들의 특성을 Renzulli(1978)의 삼원모델(Three-ring model)에 의거하여 두 가지 관점에서 분석해 보았다. 첫째, 정보영재집단의 특성은 일반학생집단과 비교해 보았을 때 어떠한 점이 다른가? 둘째, 일반영재집단과 정보영재집단을 비교해 보았을 때 어떠한 차이점이 있는가? 본 고에서 분석 제시되는 연구결과들은 정보영재성을 정의하고, 그에 따른 판별도구 및 정보영재교육프로그램 개발을 위한 실증적 자료가 되어 우리나라 실정에 부합하는 정보영재교육을 수립해 나가는 데에 주춧돌이 될 것이다.

• Journal of Educational Research in Mathematics
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• v.20 no.4
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• pp.459-476
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• 2010

The purpose of this study is to suggest a new direction in using LOGO as a gifted education program and to seek an effective approach for LOGO teaching and learning, by analyzing the strategic thinking of mathematically gifted elementary students. This research is exploratory and inquisitive qualitative inquiry, involving observations and analyses of the LOGO Project learning process. Four elementary students were selected and over 12 periods utilizing LOGO programming, data were collected, including screen captures from real learning situations, audio recordings, observation data from lessons involving experiments, and interviews with students. The findings from this research are as follows: First, in LOGO Project Learning, the mathematically gifted elementary students were found to utilize such strategic ways of thinking as inferential thinking in use of prior knowledge and thinking procedures, generalization in use of variables, integrated thinking in use of the integration of various commands, critical thinking involving evaluation of prior commands for problem-solving, progressive thinking involving understanding, and applying the current situation with new viewpoints, and flexible thinking involving the devising of various problem solving skills. Second, the students' debugging in LOGO programming included comparing and constrasting grammatical information of commands, graphic and procedures according to programming types and students' abilities, analytical thinking by breaking down procedures, geometry-analysis reasoning involving analyzing diagrams with errors, visualizing diagrams drawn following procedures, and the empirical reasoning on the relationships between the whole and specifics. In conclusion, the LOGO Project Learning was found to be a program for gifted students set apart from other programs, and an effective way to promote gifted students' higher-level thinking abilities.

• School Mathematics
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• v.7 no.4
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• pp.319-336
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• 2005

This study is to find the properties of Diffy activity and to investigate the problems and conjectures which could be posed in the Diffy activity. The Diffy is a simple subtracting activity. But, 1 think it is a field where the mathematical thinking can take place. I proposed some problems and conjectures which can be posed. I solved the problems using excel and the software I developed and proposed the related data. I think such problems and the data will be the good materials for elementary students and gifted to think mathematically with.