• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.539-560
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• 2013

The purpose of this study was to investigate characteristics of mathematically gifted high school students' thinking in design activities using GrafEq. Eight mathematically gifted high school students, who already learned graphs of functions and inequalities necessary for design activities, were selected to work in pairs in our experiment. Results indicate that logical thinking and mathematical abstraction, intuitive and structural insights, flexible thinking, divergent thinking and originality, generalization and inductive reasoning emerged in the design activities. Nonetheless, fine-grained analysis of their mathematical activities also implies that teachers for gifted students need to emphasize both geometric and algebraic aspects of mathematical subjects, especially, algebraic expressions, and the tasks for the students are to be rich enough to provide a variety of ways to simplify the expressions.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.12
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• pp.16-22
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• 2020

The characteristics of the LCL filter for grid-connected inverters have been discussed in academia and industry. An online simulation tool was applied to compare and analyze the difference between the LCL filter and L filter. LCL filters were modeled and simulated using a range of professional simulation simulators, and the LCL filters were found to have good filtering effects for high-frequency harmonics. First, this paper summarizes the transfer functions of the LCL filter and provides the Bode plot diagram. The accuracy and validity of the filter attenuation characteristics were confirmed by a fast Fourier transform based on off-line simulation tools, such as PSIM and MATLAB, depending on the given parameters of the LCL filter. Finally, the Typhoon HIL402 real-time simulation was performed for hardware in the loop simulation to verify the actual filtering characteristics of the LCL filter.

• Journal of the Korean School Mathematics Society
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• v.17 no.3
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• pp.359-384
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• 2014

The purpose of this study is inquire the reaction and adaptability of the mathematically gifted student, in the case of introduce learning materials based on GeoGebra in real class. The study program using GeoGebra consist of 'construction of fundamental figures', 'making animation with using slider tools' (graph of a function, trace of a figure, definite integral, fixed point, and draw a parametric curve), make up the group report after class. In detail, 1st to 15th classes are mainly problem-solving, and topic-exploring classes. To analyze the application effects of developed learning materials, divide students in four groups and lead them to make out their own creative products. In detail, guide students to make out their own report about mathematical themes that based on given learning materials. Concretely, build up the program to make up group report about their own topics in six weeks, after learning on various topics. Expert panel concluded that developed learning materials are successfully stimulate student's creativity in various way, after analyze of the student's activities. Moreover, those learning programs also contributed to the develop of the mathematical ability to thinking that necessary to writing a report. As well, four creative products are assessed as connote mathematically gifted student's creative thinking and meaningful elements in mathematical aspects.

• Proceedings of the Korean Information Science Society Conference
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• 2006.06c
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• pp.82-84
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• 2006

최근 청소년의 교우관계에 있어서 집단 따돌림이 사회적으로 큰 문제가 되고 있다. 본 논문에서는 학생들의 교우관계를 보다 객관적으로 분석하는 방법을 제안한다. 우선 분석을 위한 객관적인 데이터로 교우관계 정보를 묵시적으로 내포하고 있는 통신이력 데이터를 사용한다. 다음으로 교우간 친밀도(degree of faniliarity) 개념을 정형적으로 정의하고, 여러 통신도구에서 발생한 통신이력 데이터를 기반으로 교우간 친밀도를 수학적으로 계산하는 방법을 제안한다. 다음으로, 계산한 교우간 친밀도를 사용하여 집단 따돌림의 가능성이 높은 학생을 파악한다. 이는 집단 따돌림 가능성이 높은 학생은 다른 학생으로부터의 통신 시도가 적을 것이라는 직관에 기반한다. 마지막으로, 제안한 방법의 실용성을 입증하기 위하여, 실제 구현 및 분석 실험을 수행하고, 그 의미를 해석한다. 이 같은 결과를 볼 때, 본 연구는 학생들의 교우관계를 보다 객관적으로 파악할 수 있는 매우 우수한 결과라 사료된다.

• Nuclear Engineering and Technology
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• v.26 no.4
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• pp.578-599
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• 1994

방사성 폐기물 처분장의 건설에 가장 중요한 부분중의 하나는 처분안전성의 확보일 것이다. 처분장 안전성평가는 처분장이 입지하는 환경에 대한 실험실적 자료 또는 현장 자료의 충분한 데이타베이스와 처분시스템에서 일어날 수 있는 주요한 프로세스를 기술하는 수학적 모델을 통하여 이루어지게 된다. 처분시스템의 기본적인 기능은 처분된 폐기물고화체를 인간환경으로 부터 완벽하게 고립시켜 처분장내에 영구적으로 격리시키는 것이다. 그렇지만 정상적이든 비정상적이든 핵종은 항상 유출될 가능성이 있고 설사 이러한 경우라도 충분히 안전한 것을 입증하는 것이 처분장 성능 평가와 안전성평가의 주요한 목적이 된다. 한편 장기간에 걸친 처분 안전성 평가는 전산 프로그램을 통한 이론적 예측에 의해서만 가능하므로, 처분안전성 평가도구의 개발 및 확보의 중요성은 매우 크다고 할 수 있다. 이 연구에서는 처분장이 입지하는 암반 매질에서의 핵종의 이동을 기술할 수 있는 여러 모델을 검토하고, 특정 처분부지에 대한 종합적 안전성 평가를 수행할 수 있는 방법론을 제시할 목적으로 임의의 1개 부지의 지형도및 추정가능한 지질관련 자료를 이용하여 해당 부지에 대한 가상의 핵종 유출 시나리오를 설정하여 부지특성적인 예비 종합 안전성 평가를 수행하여 보았다.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.123-138
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• 2017

It is necessary to examine how operation and management of instruction in school field be affected by the curriculum. This study examines the actual conditions of instruction provided by teachers while expecting to be adjusted the curriculum with respect to the consideration given to individual student needs and regional specialization by focusing on the subject of mathematics. Ultimately, the purpose of this study is to assess and expect how well mathematics instruction would be being conducted in accordance with the goals of the curriculum. Furthermore, while reflecting the experimental result on teachers' opinions of the previous curriculum, this study suggests alternatives and supporting plans so that at the teacher level the curriculum might be successfully implemented.

• Journal of Platform Technology
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• v.11 no.5
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• pp.72-83
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• 2023

ChatGPT, commercial launch in late 2022, has shown successful results in various professional exams, including US Bar Exam and the United States Medical Licensing Exam (USMLE), demonstrating its ability to pass qualifying exams in professional domains. However, further experimentation and analysis are required to assess ChatGPT's scholastic capability, such as logical inference and problem-solving skills. This study evaluated ChatGPT's scholastic performance utilizing the Korean College Scholastic Ability Test (KCSAT) subjects, including Korean, English, and Mathematics. The experimental results revealed that ChatGPT achieved a relatively high accuracy rate of 69% in the English exam but relatively lower rates of 34% and 19% in the Korean Language and Mathematics domains, respectively. Through analyzing the results of the Korean language exam, English exams, and TOPIK II, we evaluated ChatGPT's strengths and weaknesses in comprehension and logical inference abilities. Although ChatGPT, as a generative language model, can understand and respond to general Korean, English, and Mathematics problems, it is considered weak in tasks involving higher-level logical inference and complex mathematical problem-solving. This study might provide simple yet accurate and effective evaluation criteria for generative artificial intelligence performance assessment through the analysis of KCSAT scores.

• School Mathematics
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• v.18 no.1
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• pp.85-103
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• 2016

This study was to find characteristics of argumentation derived from a discourse in a math-gifted 5 grade class, which was held for finding a Pick's formula using Geoboard function of TI-73 calculator. For the analysis, a video record of the class, transcript of its voice record, and activity paper were used as data and Toulmin's argument schemes were applied as analysis standard. As a result of the study, we found that the graphing calculator helped the students to create an experimental environment that graphing a grid-polygon and figuring out its area. Furthermore, it also provided a basic demonstration through 'data->claim' composition and reasoning activities which consisted of guarantee, warrant, backing, qualifier and refutal for justifying. The basic argumentation during the process of deriving the Pick's theorem by the numbers of boundary points and inner points was developed into a 'collective argumentation' while a teacher took a role of a conductor of the argumentation and an authorizer on the knowledge at the same time.

• School Mathematics
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• v.16 no.4
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• pp.659-675
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• 2014

The purpose of this study is to investigate the effects of scheme based strategy Instruction on problem solving of word problems of ratio and proportion for students with under achievement or at risk for learning disabilities. Three $7^{th}$ graders of underachieving or at risk LD were participated in this study. Three steps of instructional experiment-testing baseline, intervention with schematic-based strategy, testing for the abilities of problem solving, generalization, & sustainability. The results showed that the schema-based strategy, FOPS was effective method for all three students enhancing problem solving abilities and for generalizing and sustaining the problem solving.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.177-193
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• 2010

The purpose of this study is to explore normal distribution in probability distributions of the area of statistics in high school mathematics. To do this these contents such as approximation of normal distribution from binomial distribution, investigation of normal distribution curve and the area under its curve through the method of Monte Carlo, linear transformations of normal distribution curve, and various types of normal distribution curves are explored with CAS calculator. It will not be ablt to be attained for the objectives suggested the area of probability distribution in a paper-and-pencil classroom environment from the perspectives of tools of CAS calculator such as trivialization, experimentation, visualization, and concentration. Thus, this study is to explore various properties of normal distribution curve with CAS calculator and derive from pedagogical implications of teaching and learning normal distribution curve.