• 대한수학교육학회지:수학교육학연구
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• 제25권4호
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• pp.691-715
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• 2015

이 연구에서는 중등 예비교사들의 교수를 위한 수학적 지식(Mathematical Knowledge for Teaching, 이하 MKT) 수준을 검증할 수 있는 문항 개발을 확장하여서 이를 적용한 측정을 통해 중등 예비수학교사들의 MKT 수준이 어떠한지 알아보고자 한다. 이를 위해 중학교 수준의 수학 영역에 대한 검사 문항을 개발하여 예비교사 54명을 상대로 검사를 실시하여 자료를 수집하여 분석하였다. 자료 분석 결과 예비교사들이 얻은 점수를 백점 만점으로 환산 시 검사지 총점의 평균은 30.2점으로 나타났는데, 예비교사들은 대체로 문항에서 나타내는 학습 내용에 관한 지식을 정확히 이해하지 못하는 것으로 나타났으며 중등학생들이 어려워하는 부분과 이에 대한 정확한 설명 방법을 구체적으로 도입하지 못하는 것으로 나타났다. 교수 방법을 제시하고 설명하는 과정에서도 내용의 본질을 충분히 담지 못하며 학습자에 대해서도 일반적으로 관찰할 수 있는 특성을 기술하는 것으로 나타났다.

• 한국학교수학회논문집
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• 제17권2호
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• pp.207-234
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• 2014

본 연구의 목적은 초등학교 4학년 두 수학수업에서 나타나는 교실사회규범과 사회수학적 규범을 분석하고 두 교실의 교실사회규범, 사회수학적 규범을 비교함으로써 이 규범에 대한 형성을 알아보고자 한다. 이를 위해 1년 동안 26차시의 수학수업을 관찰하였으며 교사와 학생의 인터뷰를 진행하였다. 그 결과 초등학교 두 교사가 수업 상황에서 흐름, 수학적 개념이나 원리를 가르치는 방법에 대해 교실사회규범, 사회수학적 규범 등에서 어떤 유형과 의미를 선택하여 수업하느냐에 따라 교실의 전반적인 분위기, 교사와 학생의 상호작용 패턴, 규범에 의한 수학활동의 모습이 다르게 나타났다.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권2호
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• pp.139-149
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• 2004

This study was initiated by the idea to help students to be more ideally educated following the 7th curriculum that seeks the proactive students along with creativity for the 21st century. Mind-map was the main tool throughout the study and this was performed to find answers for the following questions : 1) to examine how students' drawing a mind-map affects their mathematical tendency or emotional aspects (motivation for study, interest, etc); 2) to investigate the types and characteristics of mind-maps that students draw; 3) to analyze advantages and obstacles that they experience during the process of drawing a mind-map and provide some suggestions for overcoming them. The research shows that students were highly motivated by the drawing a mind-map. There are types of mind-maps: tree shape and radial shape, and each shape has its own advantages. But the more important factor for being a good mind-map is where and how each concept is located and connected. Although it is true that drawing a mind-map helped students to see the bigger structure of what they learned, but there are several hardships taken care of. The study suggests to extend the experiment to various levels of students and diverse contents.

• 품질경영학회지
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• 제28권1호
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• pp.1-12
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• 2000

Since Black Monday there has been a rash of systems developments which aimed at automating and upgrading the surveillance mechanism of monitoring the many facets of security trading. A more sophisticated mathematical model for detecting abnormal trading activities was created by Davis and Ord of Penn State along with Nobel prize laureates Solow and Modigliani of MIT. They used CAPM(Capital Asset Pricing Model) to explain the movements of stock price and applied an idea of residuals to detect unusual movements. In this paper, their idea is discussed and a new method is proposed, which involves a confidence interval of future observation in linear regression. One of the examples of the stock watch system adopting this statistical method is also presented.

• 한국경영과학회지
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• 제25권2호
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• pp.1-10
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• 2000

With every passing month a number of new virtual enterprises emerge on the internet. Many companies have responded to the idea of distributed manufacturing in which the value adding activities comprising a finished product are dispersed geographically in a remote place. This study suggests an idea for selecting suppliers in a distributed manufacturing environment which enables machining companies to share their capacities. A mathematical model is constructed to show how to minimize the sum of the operation and transportation costs based on alternative process plans considering several kinds of operation characteristics in the real world. Four heuristic algorithms are developed to get an optimal or near-optimal solution using tabu search since the model is proven NP-hard. Example problems are tested to illustrate their procedure and performance.

• 한국전자통신학회논문지
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• 제11권6호
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• pp.645-652
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• 2016

본 논문은 몸과 마음으로 표시할 수 있는 기본적인 몸과 마음의 방정식을 로미오와 줄리엣에 기반한 사랑 모델을 적용하고 외력은 인가한 상태에서 심신일여의 체육사상의 타당성을 검증하기 위하여 몸과 마음이 하나인 심신일원론과 몸과 마음이 나누어지는 심신이원론의 비선형 거동에 대하여 시계열과 위상 공간으로 나타내고, 이들 사이의 차이점을 확인한다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권1호
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• pp.1-18
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• 2019

In contrast to the well-developed convex splitting schemes for gradient flows of two-component system, there were few efforts on applying the convex splitting idea to gradient flows of multi-component system, such as the vector-valued Cahn-Hilliard (vCH) equation. In the case of the vCH equation, one need to consider not only the convex splitting idea but also a specific method to manage the partition of unity constraint to design an unconditionally energy stable scheme. In this paper, we propose a constrained Convex Splitting (cCS) scheme for the vCH equation, which is based on a convex splitting of the energy functional for the vCH equation under the constraint. We show analytically that the cCS scheme is mass conserving and unconditionally uniquely solvable. And it satisfies the constraint at the next time level for any time step thus is unconditionally energy stable. Numerical experiments are presented demonstrating the accuracy, energy stability, and efficiency of the proposed cCS scheme.

• 한국수학사학회지
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• 제23권3호
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• pp.141-168
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• 2010

수학적 의사소통은 수학 교수 학습 과정에서 학습에 참여하는 사람들 간에 수학적 아이디어를 교환하는데 필수적인 활동이다. 2007년 개정 수학과 교육과정에서는 수학적 의사소통 능력의 신장을 여러 영역에서 명시하고 있다. 이에 따라 편찬된 '고등학교 수학' 18종 교과서에는 의사소통 문제를 다루는 코너가 마련되어 있고, 실제 학교 현장의 교사들은 수학 수업 시간에 어떤 과제를 어떤 방식으로 의사소통을 해야 할지에 대해 알고 싶어 한다. 이렇게 수학적 의사소통이 수학 교육에서 해결해야 할 중요한 문제로 부각되는 시점에서 본 논문은 수학적 의사소통에 대하여 고찰해 보고, 이를 토대로 '고등학교 수학' 교과서에 수록된 의사소통 관련 코너의 내용을 분석하여 유형화하고 나아가 각 유형에 적절한 의사소통 활동을 제시함으로써 차후에 개정될 교과서의 실질적인 의사소통 코너 마련을 위한 정보 및 교사들에게 수학적 의사소통이 활발한 수학 수업을 안내할 수 있는 틀을 제공하는 것을 목적으로 한다.

• 대한기계학회논문집A
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• 제24권12호
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• pp.3080-3087
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• 2000

We obtain the mathematical model of the hard disk drive actuator system the system response data of the finite element analysis or experimental results. The model is base on the Rayleigh-Ritz method to approximate the dynamic response of the actuator system. The basic idea is to use the curve-fit technique to obtain the approximation coefficients. It allows the dynamic analysis of the actuator system without resort to the repetitive finite element modeling work. Even though the dynamic characteristics of the system of the system are affected somewhat by the structural modification and the change of the material properties, we can use the modified size and dynamic properties of the actuator system in the mathematical model to some extent. In this study, we express the mathematical model of the simplified rectangular plate first and then proceed to the actual hard disk drive actuator system.

• 한국수학교육학회지시리즈A:수학교육
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• 제49권2호
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• pp.175-198
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• 2010

To understand natural or social phenomena, we need various information, knowledge, and thought skills. In this context, mathematics and sciences provide us with excellent tools for that purpose. This explains the reasons why there is always significant emphasis on mathematics and sciences in school education; some of the general goals in school education today are to illustrate physical phenomena with mathematical tools based on scientific consideration, to encourage students understand the mathematical concepts implied in the phenomena, and provide them with ability to apply what they learned to the real world problems. For the mentioned goals, we extract six fundamental principles for the integrated mathematics and science education (IMSE) from literature review and suggest a instructional design model. This model forms a fundamental of a case study we performed to which the IMSE was applied and tested to collect insights for design and practice. The case study was done for 10 students (2 female students, 8 male ones) at a coeducational high school in Seoul, the first semester 2009. Educational tools including graphic calculator(Voyage200) and motion detector (CBR) were utilized in the class. The analysis result for the class show that the students have successfully developed various mathematical concepts including the rate of change, the instantaneous rate of change, and derivatives based on the physical concepts like velocity, accelerate, etc. In the class, they described the physical phenomena with mathematical expressions and understood the motion of objects based on the idea of derivatives. From this result, we conclude that the IMSE builds integrated knowledge for the students in a positive way.