• Journal of the Korean School Mathematics Society
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• v.9 no.1
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• pp.93-104
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• 2006

The centroid of triangle is physical property but almost mathematics teachers do not teach centroid by the help of experiments an so they have misconception on principle of centroid. In this paper we investigate whether teachers have made an experiment on centroid of triangle, and we check up on the level of understanding on centroid for mathematics teachers. We introduce the method of teaching centroid and study the process of generalization about centroid of triangle for gifted students.

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

• School Mathematics
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• v.15 no.3
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• pp.585-601
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• 2013

The purpose of this study is to investigate the relationship of communication skills and self-directed learning ability between mathematically gifted elementary students and non-gifted students. The subjects include 126 mathematically gifted elementary students from gifted education centers and gifted classes in elementary schools in D Metropolitan City and 124 non-gifted students that were non categorized as gifted students or special children in the same city. Employed in the study were the tests of communication skills and self-directed learning ability. Through this study, there are notable differences in communication skills and self-directed learning ability between mathematically gifted students and non-gifted students. Thus, those communication skills and self-directed learning ability should be taken into account when organizing and running a curriculum. In addition, developing a program for mathematically gifted students, as well as in teaching and learning communication skills and self-directed learning ability sufficient to consider the interrelationships between.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.225-241
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• 2010

Even though geometry is an important part basic to mathematics, studies on the program designs and teaching strategies of geometry are insufficient. The aims of this study are to propose the model of program design for autonomous learners taking their characteristics of the mathematically gifted into consideration. The core of teaching materials are analytic geometry and projective geometry. And the new teaching strategy will introduce three steps ; a draft strategies step(problem presentation, problem solving), a supportive strategies step(abstraction of a mathematical concept, mathematical induction, and extension), a transference strategies step to teaching strategy suitable for mathematically gifted. As a result, this study will suggest the effective methods of geometry teaching for the mathematically gifted.

• Journal of Gifted/Talented Education
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• v.3_4 no.1
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• pp.26-37
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• 1994

• Proceedings of the Korean Society for the Gifted Conference
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• 1994.08b
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• pp.290-300
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• 1994

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.335-352
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• 2005

In this paper, we consider a center of gravity of convex polygon which could be an enriched topic for the gifted in mathematics(7th grades) and suggested a case that the gifted experienced a center of gravity. Based on properties of Archimedes' center of mass, we define it as a point which make a polygon be in counterpoised with its area and explain how to find that point through using integral calculus or internal division. Then we consider that the gifted would experience various kinds of mathematical thinking and apply diverse ways of problem solving 3s searching for this topic. As this research, the teacher would be able to conduct the gifted with penetration into center of gravity and to let them participate in advanced learning courses which value ma-thematical thinking while they undergo similar experiences such as mathematicians.

• Journal of the Korean School Mathematics Society
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• v.24 no.3
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• pp.261-282
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• 2021

This study identified the meaning of mathematical justification and its characteristics for middle school math gifted students. 17 middle school math gifted students participated in questionnaires and written exams. Results show that the gifted students recognized justification in various meanings such as proof, systematization, discovery, intellectual challenge of mathematical justification, and the preference for deductive justification. As a result of justification exams, there was a difference in algebra and geometry. While there were many deductive justifications in both algebra and geometry questionnaires, the difference exists in empirical justifications: there were many empirical justifications in algebra, but there were few in geometry questions. When deductive justification was completed, the students showed satisfaction with their own justification. However, they showed dissatisfaction when they could not deductively justify the generality of the proposition using mathematical symbols. From the results of the study, it was found that justification education that can improve algebraic translation ability is necessary so that gifted students can realize the limitations and usefulness of empirical reasoning and make deductive justification.

• School Mathematics
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• v.19 no.1
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• pp.77-93
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• 2017

The purpose of this study is to investigate the characteristics of problem making of 19 mathematically gifted students in junior high school. In this study, we examined the expansion and sophistication of the problems made by gifted students, focusing on the analysis framework proposed in the previous research. Next, the problem making by gifted students were categorized into 'horizontal problem making' and 'vertical problem making.' As a result of this study, it was found that problem making by gifted students was not enough in terms of extension and sophistication. In addition, gifted students made problems in the direction of decreasing complexity than original problems when creating new problems, and considered the conditions presented in the original text separately but not comprehensively.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.53-72
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• 2009

The purpose of the study was to develop a program based on PCM(Parallel Curriculum Model) model for the gifted students, and investigate the effectiveness of the program with qualitative research methods. This program was designed to encourage the gifted students to explore mathematics that is closely related to the real world. The results of the study revealed that the program based on the PCM model had positive effect on the gifted students emotionally and cognitively. In conclusion, PCM program is considered an appropriate program for the gifted students of elementary school.