• Journal of the Korean Statistical Society
• /
• 제2권1호
• /
• pp.3-7
• /
• 1973

Zellner, Kmenta, Dreze (1966) and later Hedges (1969) showed that consistent estimates of the parameters of Cobb-Douglas or CES production functions can be obtained by the single equation estimation methods if the models incorporate the assumption that firms maximize the mathematical expectation of profits. This note demonstrates that the results of the above-cited works can be extended to a class of VES production function models.

• 한국수학교육학회지시리즈C:초등수학교육
• /
• 제6권1호
• /
• pp.41-54
• /
• 2002

The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

• 한국수학교육학회지시리즈C:초등수학교육
• /
• 제15권1호
• /
• pp.31-40
• /
• 2012

본 연구는 영재 교수 학습 과정에서 초동영재학생들에게 자기주도적 발견식 탐구식 학습을 실시하여 학습의 효과를 높이고, 수학적 원리와 수학의 심미성을 갖는 창의적인 산출물을 생산해 낼 수 있는 교수 학습 모형을 개발하고, 개발한 모형으로 수업을 진행한 후 나타난 특징에 대하여 탐구하였다. 그 결과 다음과 같은 결론을 얻었다. 첫째, 개발된 영재 교수 학습 모형은 초등수학 영재학생들에게 자료를 통찰하는 능력과 분석적 연역적 추론 능력과 같은 수학적 창의성을 발현하게 한다. 둘째, GSP를 활용한 원형 디자인은 초등수학 영재학생들에게 수학적 패턴을 시각적으로 표현함으로써 추상화된 규칙을 인식하는데 도움을 준다. 셋째, 자연수의 연산을 활용한 원형 디자인은 초등수학 영재학생들의 수학에 대한 심미성과 창의성을 발현하는데 긍정적인 영향을 준다.

• 대한수학교육학회지:수학교육학연구
• /
• 제23권2호
• /
• pp.95-116
• /
• 2013

수학적 모델링에 대한 정의와 관점은 단일하지 않다. 그러나 실세계 현상을 수학적으로 이해하여 표현하고, 모델을 세워 문제를 해결하며, 다시 실세계 현상에 대한 재해석을 통해 실세계 그리고 관련된 수학적 모델에 대한 심층적인 이해를 꾀하는 활동에 대한 강조는 수학적 모델링에 대한 여러 관점에서 공통적으로 추구하는 바이다. 이 연구는 수학적 모델링 활동에 대한 앞서 제시한 공통적인 특징을 준수할 때, 수학화가 어떻게 일어나는지, 그 과정상의 어려움은 무엇인지를 확인하는 것에 목표를 둔다. 연구 결과, 학생들은 수학적 모델링 과정에서의 수학화 활동에서 다양한 표상체를 구축하고 이를 실세계 현상의 관계적인 측면과 맥락에 비추어 해석하면서 현상을 재조직한다는 점을 확인할 수 있었으며, 이는 학생들의 의사소통 과정에 드러난 표상체의 기능 변화를 통하여 확인할 수 있었다. 또한 표상체가 적절하지 않은 단서를 제공할 수 있다는 점은 수학화를 어렵게 하는 요인으로 드러났다.

• East Asian mathematical journal
• /
• 제27권1호
• /
• pp.23-33
• /
• 2011

Due to underutilization of spectrum under current inefficient and static spectrum management policy, various kinds of opportunistic spectrum access (OSA) strategies have appeared. Myopic policy is a simple and robust OSA strategy with reduced complexity that maximizes immediate throughput. In this paper, we propose mathematical models to evaluate the throughput and the MAC delay of a myopic policy under saturation tra c conditions. Using the MAC delay distribution, we evaluate the packet delay of secondary users under nonsaturation conditions. Numerical results are given to show the performance of the myopic policy in cognitive radio networks.

• 한국수학교육학회지시리즈D:수학교육연구
• /
• 제12권1호
• /
• pp.27-37
• /
• 2008

A test as a form of diagnostic of algorithm and logic abilities is considered. Such test for measuring abilities and achievements of talented children has been designed and used at the Kharkiv Regional Olympiad in Informatics. Quality of the test and its items is analyzed. Correlation between the test results of children and their success in creating mathematical models, designing of complicated algorithms and translating these algorithms into computer programs is discussed.

• 터널과지하공간
• /
• 제8권1호
• /
• pp.26-36
• /
• 1998

To assess the groundwater flow near high-level radioactive waste repositories, it is important to understand the effect of coupling among thermal, hydraulic, and mechanical effects. In this paper, detailed mathematical approach to model the groundwater flow near the waste form surrounded by buffer, influenced by decay heat of radioactive waste along with stress change is developed. Two cases(1) before the full expansion of buffer and (2) after the full expansion of buffer are modelled. Based on the mathematical models in this paper, detailed numerical study shall be pursued later.

• 대한수학회보
• /
• 제49권2호
• /
• pp.319-327
• /
• 2012

The equations of a multifluid interpenetration mix model are analyzed. The model is an intermediate mix model in the sense that it is defined by partial pressures but only a single global pressure and a single global temperature. It none-the-less avoids the stability difficulty. It is shown that the model is hyperbolic so that it is mathematically stable.

• 한국인지과학회:학술대회논문집
• /
• 한국인지과학회 2010년도 춘계학술대회
• /
• pp.2-7
• /
• 2010

Formally, we may define cognitive science as the convergent study between symbolic and connectionist approaches at macro and micro levels. Since what we refer to as the human mind is regarded as a mathematical product of the human brain and the computing machine, we can obtain two mathematical dynamical projections: one from the set of human brains to the set of mind, the other from the set of computing machines to the set of mind. Then, we are having a new projection from the classical models to the quantum mind.

• Parasites, Hosts and Diseases
• /
• 제47권1호
• /
• pp.1-5
• /
• 2009

A mathematical model for transmission of schistosomes is useful to predict effects of various control measures on suppression of these parasites. This review focuses on epidemiological and environmental factors in Schistosoma japonicum and Schistosoma mekongi infections and recent advances in mathematical models of Schistosoma transmission.