• Communications of Mathematical Education
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• v.23 no.2
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• pp.349-381
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• 2009

The purpose of this study is to propose issues in selecting gifted children in mathematics by in-depth analysis of the selection process and items. In order to accomplish the purpose, the rate of right and wrong answers were examined based on the reaction of the students by 1st, 2nd and 3rd selection test. Also, the types of the errors were identified for the 2nd and 3rd selection test. According to the study results, the rate of right answers was low in short response questions and essay questions rather than in multiple-choice questions. In addition, the academic achievements were lower in the fields other than number & operations and logic. The conclusion of this study is that following studies regarding selection of gifted children are required linked with the project tasks and programs.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.369-385
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• 2017

This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.327-344
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• 2006

This study examined the proof levels and understanding of constituents of proving by three mathematically gifted 6th grade korean students, who belonged to the highest 1% in elementary school, through observation and interviews on the problem-solving process in relation to constructing a rectangle of which area equals the sum of two other rectangles. We assigned the students with Clairaut's geometric problems and analyzed their proof levels and their difficulties in thinking related to the understanding of constituents of proving. Analysis of data was made based on the proof level suggested by Waring (2000) and the constituents of proving presented by Galbraith(1981), Dreyfus & Hadas(1987), Seo(1999). As a result, we found out that the students recognized the meaning and necessity of proof, and they peformed some geometric proofs if only they had teacher's proper intervention.

• Journal of Gifted/Talented Education
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• v.17 no.1
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• pp.1-26
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• 2007

The purpose of this study was to develop a math test for identification of the mathematically gifted on the basis of their math creative problem solving ability and to evaluate the goodness of the test. Especially, testing reliability and validity of scoring method on the basis of fluency only for evaluation of math creative problem solving ability was one of the main purposes. Ten closed math problems and 5 open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 closed math test items of Type I and the 5 open math test items of Type II were administered to 1,032 Grade 7 students who were recommended by their teachers as candidates for gifted education programs. Students' responses were scored by math teachers. Their responses were analyzed by BIGSTEPS and 1 parameter model of item analyses technique. The item analyses revealed that the problems were good in reliability, validity, item difficulty and item discriminating power even when creativity was scored based on the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creative problem solving ability of the candidates for math gifted education programs. In addition, it was found that the math creative problem solving tests discriminated applicants for the two different gifted educational institutions.

• Communications of Mathematical Education
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• v.10
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• pp.19-30
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• 2000

초등학교 학생들의 창의성 신장은 수학 교수-학습 과정에서 꼭 고려해야 할 목표들 중의 하나이다. 창의성 신장을 위한 많은 시도들이 있었지만, 창의성 신장을 위한 학습자료들은아직 많은 연구 문제들을 남기고 있다. 본 연구에서는 초등학교 고학년 영재 아동들의 창의성 신장을 위해 100시간 분량으로 개발된 학습 프로그램을 소개하고, 개발된 자료들을 초등학교 교수-학습에 투입하여 얻은 긍정적인 결과들을 제시할 것이다.

• Journal of Gifted/Talented Education
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• v.11 no.2
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• pp.107-126
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• 2001

This study is focused on the selection program of mathematical gifted children on the middle school. To fulfill this purpose, I consider the testing program using cyber system. If we use the cyber system, we can survey mathematical play(for example, puzzle) and several mathematical activity of gifted children. Cyber system will be help as a subsidiary selection tool.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.04a
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• pp.39-43
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• 2006

일본에서는 영재아를 위한 특별교육에 약간을 제외하고는 충분한 관심을 갖지 못해 왔다. 왜냐하면, 전후 일본의 교육시스템의 여러 특징들 중 하나가 지나친 평등주의였기 때문에 교육의 장에서는 물론이고 교사와 부모에게서도 그러한 교육은 때때로 무시되어졌다. 다른 이유는 학교에서의 주입식 교육 때문인데 이것은 도쿄대학이나 쿄토대학과 같은 유명한 대학에 입학하기 위한 시험의 합격을 위해서 고등학교 과정에서 꼭 필요한 것이었다. 그러나, 1997년에 영재아를 위한 특별교육의 약간의 시도가 시작되었다. 교육부는 "1년을 뛰어넘어 대학에 들어가는 것"을 인정했다. 이 논문에서는, 다음의 세 가지 주제들이 논의될 것이다. 1. 17살 고등학생들의 시바대학 입학등록 2. 일본 수학 올림피아드 협회에 의해 실행되어진 여름 세미나 3. 교육부에 의해 설립된 특수 과학 고등학교(Super Science High school) 프로그램.

• School Mathematics
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• v.11 no.2
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• pp.207-225
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• 2009

Well posed problems for mathematically gifted students provide an effective method to design 'problem solving-centered' classroom activities. In this study, we analyze mathematical problems posed by teachers in distance learning as a part of an advanced training which is an enrichment in-service program for gifted education. The patterns of the teacher-posed problems are classified into three types such as 'familiar,' 'unfamiliar,' and 'fallacious' problems. Based on the analysis on the teacher-posed problems, we then suggest a practical plan for teachers' problem posing practices in distance learning.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.365-389
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• 2017

This study aims to analyze elementary gifted students' inquiries on combinatoric tasks. In particular, we designed circular permutation tasks and analyzed students' inquiries on these tasks. We especially analyzed students' expressions, counting processes, and their construction of set of outcomes. The findings showed that the students utilized analogy to resolve given tasks, and they had difficulties in categorizing and re-categorizing possible outcomes of given tasks. Their improper use of analogy also caused difficulties in resolving circular permutation tasks.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.