• Communications of Mathematical Education
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• v.31 no.3
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• pp.257-277
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• 2017

The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

• 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.

• Journal of the Korean School Mathematics Society
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• v.12 no.1
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• pp.131-149
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• 2009

A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.235-257
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• 2010

Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

• Research in Mathematical Education
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• v.10 no.1 s.25
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• pp.33-47
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• 2006

Finding good ways to support the further development of mathematically gifted students is a challenge for all mathematics educators. Simply moving able students on more rapidly to the next level of traditional mathematical instruction seems to be a limited approach, while providing supplementary enrichment material or specialized mathematical software requires us to ensure that doing so is truly worthwhile for the students. This paper presents an approach that the author has used with students of diverse capabilities in both technologically advanced and developing nations investigating mathematical ideas using a spreadsheet.

• The Mathematical Education
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• v.38 no.1
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• pp.37-48
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• 1999

The purpose of this study is to examine the mathematical creativity problem-solving ability of middle school students gifted in mathematics. For this research, we examined and analyzed the responses to two multiple solution problems of the gifted students with classifying the four categories; fluency, flexibility, originality, and elaboration which are the factors of the creativity, and comparing with responses of usual students.

• Journal of Gifted/Talented Education
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• v.10 no.1
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• pp.33-53
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• 2000

The purpose of this study was to compare the evaluation of students and teachers on the degree of students' improvement in terms of creativity after participating in enrichment programs for the gifted. Two topics in each of the Language Art and Mathematics were implemented to gifted students in grade 2 and 3 in one of the elementary schools in Kyung-Ki province and one private gifted education center for 12 times during the summer. The results showed that the young gifted students could monitor their performances very well and the evaluation of their creativity were consistently more positive than that of their teachers who taught them. They were significantly more positive regarding their creativity in mathematics than in Language Art. The results imply that young gifted children can evaluate their creativity reliably and consistently. Therefore, the teachers should try to understand and consider their own evaluation about their creativity in planning educational programs for the gifted. In the following studies, it is necessary to have pro- and post-test data on creativity collected by diverse methods and to include older students as subjects to see whether the results of this study are generalizable to older students.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.347-364
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• 2009

In this paper, the researchers investigated the influence of graphing calculator in learning the concept of linear function for the gifted students. Elementary students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University were selected for this study. The researchers analyzed students' processes of mathematical inference and conjecture, and students' algebraic description. We found the facts that the visualization using a graphing calculator and CBL is helpful to the gifted students in understanding concepts of liner function, finding the relationship between variables, analyzing and presupposing of graph. But, using graphing calculator can be a factor that disturbs learning of students who have too much of curiosity on graphing calculator.

• School Mathematics
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• v.5 no.2
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• pp.191-208
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• 2003

The purpose of this paper is to find the differences of personality types and learning styles of general students(69) and the gifted in mathematics(66) and sciences(66). 132 subjects, whose academic achievements are in top 1 % level in elementary schools, were selected from the gifted center of the university in Busan. MMTIC(Murphy-Meisgeir Type Indicator for Children) was used to classify personal style inventory(E-I, S-N, T-F and J-P). Adapted form of Grasha & Reichmann's learning style was used to classify 3 pairs: dependent-independent, competitive-collaborative, avoidant-participant. In this paper, we were mainly concerned with the differences of learning styles, and personal types of three groups according to as indices, functions and temperament. One of our results was that there were differences of personality types between general students and the gifted in mathematics and sciences according to as indices, functions and temperament. And there were differences of learning style between three groups according to as dependent-independent, and avoidant-participant.. The gifted in mathematics and sciences prefer to independent and participant learning style in comparison with general students. Finally, there were relation of personality types and learning styles. According to functions and temperament of MMTIC, SF (sensation-feeling) and NF(intuition-feeling) type students prefer to collaborative and participant styles in comparison with ST (sensation-thought) and NT(intuition-thought) type students. And NT(intuition-thought) type students prefer to avoidant styles in comparison with SF(sensation-feeling) and NF(intuition-feeling) type students.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.335-339
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• 2022

In this paper, we find the forms of polynomials which generate consecutive prime values. Then, we consider about general form of polynomials and apply on the quadratics and tertiaries.