• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권4호
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• pp.273-288
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• 2014

In recent years, coding education has been globally emphasized and the Free Semester System will be executed to the public schools in Korea from 2016. With the introduction of the Free Semester System and the rising demand of Computational Thinking (CT) capacity, this research aims to design 'learning environment' in which learners can design and construct mathematical objects through computers and print them out through 3D printers. Furthermore, it will design learning mathematics by constructing the figurate number patterns from 'soma cubes' in the playing context and connecting those to algebraic and combinatorial patterns, which will allow students to experience mathematical connectivity. It is expected that the activities of designing figurate number patterns suggested in this research will not only strengthen CT capacity in relation to mathematical thinking but also serve as a meaningful program for the Free Semester System in terms of career experience as 3D printers can be widely used.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.141-154
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• 2007

The connectivity problem is a fundamental problem in graph theory. The best known algorithm to solve the connectivity problem on general graphs with n vertices and m edges takes $O(K(G)mn^{1.5})$ time, where K(G) is the vertex connectivity of G. In this paper, an efficient algorithm is designed to solve vertex connectivity problem, which takes $O(n^2)$ time and O(n) space for a trapezoid graph.

• 한국실내디자인학회논문집
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• 제21호
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• pp.10-16
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• 1999

Mathematics is considered to the beginning of designing thinking because of the sense of logical order system. In this study, it was regarded the mathematics as the logic and the measurement of design system. as is often the case in history, mathematics, it is regard as conceptual model of architectural though, as aesthetic proportional measure and the mirror of thought. The direction of this study is rather multi-sided approaching to the spatial concept than one-sided plane. It is multi-acceptable way to apply mathematical principle to the pace and to be a flexible one. And boundary of interpretation of the flexibility means potential use-ability, and the strictly meaning of flexibility means that the acception of the various Secession and the Change of space. And the various interpretation of the flexibility only can expressed in the relation of opposite concept: the assembly and the disassembly, the expand and the decease, the open and the close and the construct and the de-construct. Mathematics provide the resonable way in architectural thinking and endow the order as logical organizatiov. Regarding these facts, this research is for making it possible to consider the expression property of interior space combination as the way of understanding the accepting of the changes of the times with the mathematical induction, using the rational method like the mathematical arrangement organizatiov.

• 한국학교수학회논문집
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• 제4권2호
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• pp.125-134
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• 2001

It is necessary that at any rate we try to decrease underachievers by learning deficiency in mathematics to extreme limits under circumstances that mathematics becomes more requisite daily in the 21st century's informative society. However, the traditional teaching method causes a lot of problems in elevating the needed ability for the newly changing society. Accordingly, for the purpose of letting underachievers by learning deficiency have much interest in mathematics, seek the qualitative elevation, have the feelings of self-confidence and accomplishments, escape from desperation, and also teachers choose the activities of small groups, design teaching plans, apply those to teaching-learning activities and finally verify the effect, this researcher sets up a hypothesis as follows: 1. The teaching method through small groups will be effective for the accomplishments of underachievers in mathematics. 2. Its method will bring out the meaningful change in the emotional areas of mathematics. Therefore, so as to prove the above hypothesis, the results through the theoretical approach and practicing teaming by small groups have turned out to be positive.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.105-125
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• 2005

Motivated by the field experimental designs in agriculture, the theory of block designs has been applied to several areas such as statistics, combinatorics, communication networks, distributed systems, cryptography, etc. An explicit formula and its fast computational algorithm for a class of symmetric balanced incomplete block designs are presented. Based on the formula and the careful investigation of the modulus multiplication table, the algorithm is developed. The computational costs of the algorithm is superior to those of the conventional ones.

• 한국학교수학회논문집
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• 제26권1호
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• pp.49-70
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• 2023

본 연구에서는 예비수학교사의 TPACK-P (TPACK-Programming) 신장을 위한 로봇 프로그래밍 강의를 설계하고 그 효과를 분석하였다. 강의는 분석, 탐색, 1차 마이크로티칭, 2차 마이크로티칭의 단계로 설계했는데, 각 마이크로티칭 단계에서는 설계, 적용, 평가 단계가 포함되도록 하였다. 강의의 사전, 사후에 TPACK-P 검사를 실시한 결과, TPACK의 하위 요인 중 TCK는 유의수준 1%에서, TPK, TRACK, TRACK(P)는 유의수준 5%에서 통계적으로 유의한 평균 차이를 보였다. 문항별 종속표본 t 검정 결과, TCK, TPK, TPACK, TPACK(P) 범주에 사전보다 사후검사의 평균이 유의하게 높은 문항이 포함된 것으로 분석되었다. 이는 연구에서 설계한 강의가 예비수학교사의 TPACK-P 신장에 긍정적인 영향을 주었음을 보여준다.

• Korean Journal of Mathematics
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• 제20권4호
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• pp.493-505
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• 2012

For the first time ever in its history, the United States has a national version for K-12 mathematics programs, the Com-mon Core State Standards for Mathematics. Since its final version appeared in 2010 in the United States, the Common Core State Standards have started getting much attention from the Korean mathematics and mathematics education communities. Although attempts have been made to translate the original text of the stan-dards, the information such as the paradigm shift that led to the development of the standards, design principles and a comparison with the NCTM Standards would aid understating the standards in the intended way and avoiding unnecessary confusion.

• Journal of applied mathematics & informatics
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• 제30권5_6호
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• pp.699-717
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• 2012

In this paper, we deal with the robust mixed $H_2/H_{\infty}$ guaranteed-cost control problem involving uncertain neutral stochastic distributed delay systems. More precisely, the aim of this problem is to design a robust mixed $H_2/H_{\infty}$ guaranteed-cost controller such that the close-loop system is stochastic mean-square exponentially stable, and an $H_2$ performance measure upper bound is guaranteed, for a prescribed $H_{\infty}$ attenuation level ${\gamma}$. Therefore, the fast convergence can be fulfilled and the proposed controller is more appealing in engineering practice. Based on the Lyapunov-Krasovskii functional theory, new delay-dependent sufficient criteria are proposed to guarantee the existence of a desired robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which are derived in terms of linear matrix inequalities(LMIs). Furthermore, the design problem of the optimal robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which minimized an $H_2$ performance measure upper bound, is transformed into a convex optimization problem with LMIs constraints. Finally, two simulation examples illustrate the design procedure and verify the expected control performance.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제6권2호
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• pp.95-101
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• 1999

In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct timelike or null future complete Lorentzian metrics on $M{\;}={\;}[\alpha,\infty){\times}_f{\;}N$ with specific scalar curvatures.

• 한국해양공학회지
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• 제23권1호
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• pp.48-53
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• 2009

Autonomous Underwater Vehicles (AUV's) provide an important means for collecting detailed scientific information from the ocean depths. The hull resistance of an AUV is an important factor in determining the power requirements and range of the vehicle. This paper describes a design method that uses Computational Fluid Dynamics (CFD) to determine the hull resistance of an AUV under development. The CFD results reveal the distribution of the hydrodynamic values (velocity, pressure, etc.) of an AUV with a ducted propeller. This paper also discusses the optimization of the AUV hull profile to reduce the total resistance. This paper demonstrates that shape optimization in a conceptual design is possible by using a commercial CFD package. Optimum design work to minimize the drag force of an AUV was carried out, for a given object function and constraints.