• Research in Mathematical Education
• /
• v.1 no.1
• /
• pp.95-106
• /
• 1997

Even though there are extracurricular mathematics classes for gifted students in all levels of schools in Korea, teachers cannot conduct the classes properly because the contents of the textbook are not adequate for the purpose of the classes. So, what they tend to do in the classes is just drilling with many problems which have already shown up at university entrance examinations and various mathematics competitions. The purpose of this paper is to give an example of what the content should be in "Mathematics III" (an elective subject for the science high school students according to the fifth and sixth amendment of national curriculum) and to suggest how to design the extracurricular classes for gifted students. Extracurricular classes of the ordinary secondary school as well as the elective course for the science high school can be suitably designed with choices of topics in the contents of Mathematics III.

• Journal of Gifted/Talented Education
• /
• v.20 no.1
• /
• pp.205-229
• /
• 2010

The R&E(Research and Education) programs in Mathematics, which have the objects to give students mathematically creative experiences and enlarge creativities of the study of mathematics, could not give the experiences as creative researchers because of the following reasons: The students did not participate in the process of choosing the subjects, the evaluation of individual students actually did not existed, and the publications of mathematics papers have been excluded. In this paper, we study on the issues and some suggestions related to these R&E programs to obtain new R&E Model that gives a mathematically creative experience and enlarges creativities of the study of mathematics.

• Journal of Elementary Mathematics Education in Korea
• /
• v.15 no.2
• /
• pp.437-461
• /
• 2011

The purpose of this study was to examine the metacognition of mathematically gifted students in the problem-solving process of the given task in a bid to give some significant suggestions on the improvement of their problem-solving skills. The given task was to count the number of regular squares at the n${\times}$n geoboard. The subjects in this study were three mathematically gifted elementary students who were respectively selected from three leading gifted education institutions in our country: a community gifted class, a gifted education institution attached to the Office of Education and a university-affiliated science gifted education institution. The students who were selected from the first, second and third institutions were hereinafter called student C, student B and student A respectively. While they received three-hour instruction, a participant observation was made by this researcher, and the instruction was videotaped. The participant observation record, videotape and their worksheets were analyzed, and they were interviewed after the instruction to make a qualitative case study. The findings of the study were as follows: First, the students made use of different generalization strategies when they solved the given problem. Second, there were specific metacognitive elements in each stage of their problem-solving process. Third, there was a mutually influential interaction among every area of metacognition in the problem-solving process. Fourth, which metacognitive components impacted on their success or failure of problem solving was ascertained.

• Journal of Gifted/Talented Education
• /
• v.26 no.1
• /
• pp.53-76
• /
• 2016

This research studies the perception to gifted education teachers between the middle school gifted education for STEAM and Convergence Gifted Education for revitalizing Convergence Gifted Education. The conclusions according to the analysis, it shows that the awareness of gifted education teachers for Convergence Gifted Education is lower than the level of the awareness for STEAM, and it appears that the Gifted education teachers especially has the experience adapting Convergence Gifted Education who awareness for Convergence Gifted Education is the highest. On the other hand, not only teachers has the experience adapting Convergence Gifted Education and the very poorly recognition for the task of Comprehensive Plan for Gifted Education promotion including the development of an creative and convergence content, a they has the very low experience for the development. And it analyzes that although there is no meaningful differences, teachers who are in science gifted teachers and the mature experienced man realizes very optimistically the necessity need of Convergence Gifted Education. Therefore, it analyzes that recognition to the necessity need of Convergence Gifted Education is reinforced through the training for the gifted teachers in the mathematics gifted education and in less teaching experience. But it points out that answers over the majority cognized to resemble the Convergence Gifted Education and STEAM, though the object is only different. Furthermore, it suggests that the differentiated Convergence Gifted Education curriculum providing the suitableness for the characteristic and level is needed for the desirable fixedness.

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

• Research in Mathematical Education
• /
• v.16 no.4
• /
• pp.233-244
• /
• 2012

The purpose of this study is to investigate the relationship between creativity development and debate in solving a probability task. We developed the probability task with instructional strategies facilitating debating among students. 33 students in grade 11 who were identified as gifted participated in this study. The findings indicated that debating leads students to critical and reflective thinking on prior learning regarding probability concepts, which nurtured creative ideas on sample space.

• Journal of the Chungcheong Mathematical Society
• /
• v.34 no.4
• /
• pp.327-334
• /
• 2021

In this paper, we find all the prime numbers p that satisfy the following statement. If a positive integer k is a divisor of p - 1, then there is a sequence consisting of all k-th power residues modulo p, satisfying the recurrence equation of the Fibonacci sequence modulo p.

• Communications of Mathematical Education
• /
• v.23 no.3
• /
• pp.643-682
• /
• 2009

There is no doubt that the national competitiveness, in 21st century, definitely depends on how effectively it has been producing high-qualify human resources. It is inevitable that we are required to produce outstanding people who are going to make the use of highly developed scientific technology. Every country has already set to concentrate their all efforts in cultivating competitive human resources, enabling it to strengthen its national competitiveness. We Korea, in order to keep up with it, have arranged legal and systematic basis and are putting spurs to producing competent human resources under the 영재교육진흥법 및 시행령, which took effect from March, 2002. With the lack of experience and short history of Gifted Education, however, it is true that we still have many problems in promoting it in reality, We are asked to improve it by finding out what problems we have in whole area of Gifted Education, such as defining conception, choosing target students, structuring system and managing students afterwards. Therefore, this study, especially focusing on Math of Gifted Education is to investigate the present situation of Gifted Education and to examine what we should do for administering Gifted Education in effective ways.

• Journal of Science Education
• /
• v.41 no.3
• /
• pp.499-518
• /
• 2017

In this study, the meta-analysis technique was applied to investigate the effectiveness of gifted-mathematics programs on development of creativity. Studies conducted the outcomes form the 20 studies were used for meta-analysis. Research questions are as follows; first, what is the overall effect size of the gifted mathematics programs on development of mathematical creativity. Second, what are effect sizes of sub-group(fluency, flexibility, originality) analysis. Third, compare the effect sizes of those in compliance with the grade and the class type. Results from data analysis are as follows. First, the overall effect size for studies related the gifted-mathematical programs was .66, which is high. Second, it was found that each sub-group differed from its effect on learning outcomes. Fluency(.76) was the highest of all, which was followed by flexibility(.60) and originality(.50) in a row. Lastly, the overall effect size for gifted elementary school students related the gifted-mathematical programs was .69, which is high than gifted middle school students was .46.

• School Mathematics
• /
• v.12 no.3
• /
• pp.301-322
• /
• 2010

In this study, researchers developed the criteria evaluating mathematically gifted students' creative products, which contain such evaluation headings as cognitive abilities(; creativity, analytic thinking, expert skill and knowledge), performing ability of the Mathematically Gifted-Creative Problem Solving process. And then a case study is carried out to apply the criteria to an actual condition of mathematically gifted education. This case study shows that how teachers can apply those of model and criteria in actual condition of the mathematically gifted education. Through the criteria above mentioned, the characteristics of creative productivity can be grasped clearly and evaluated in detail.