• Title/Summary/Keyword: 수학적 모델화

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A Study on Possibility of Research Community for Mathematics Classroom of Expert-Inservice Teacher-Preservice Teacher (전문가-현장교사-예비교사 수학수업 연구 공동체의 가능성 탐색)

  • Kang, Hyun Young;Tak, Byungjoo;Ko, Eun-Sung
    • School Mathematics
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    • v.18 no.4
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    • pp.857-880
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    • 2016
  • The development of teacher's professionalism through teacher education is a key element in the improvement of school education. However, there has been criticism that the mathematics teacher education in Korea do not provide given enough opportunities for the classroom experience during preservice teacher education period. For development of inservice mathematics teachers and preservice teachers' teaching professionalism, this study develops a research community for mathematics classroom consisting of experts, inservice mathematics teachers, and preservice teachers. And the study explores the possibilities of the model as an educational space for inservice teachers and preservice teachers by participating in a series of courses such as task development and revision, and observation and analysis of classes. As results, inservice teachers and preservice teachers were able to enhance the practical experience and understanding necessary for the class, and they were also positively influenced in teacher efficacy and view of teaching on the model. Based on this, we suggest the possibility of the model as a teacher education system.

Selection of Optimal Machinery Systems by the Sizes of the Mechanized Farming Group (기계화(機械化) 영농단(營農團)의 규모별 적정기종(適正機種) 선정 연구)

  • Chang, D.I.;Kim, S.R.;Jung, D.H.
    • Journal of Biosystems Engineering
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    • v.15 no.3
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    • pp.244-256
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    • 1990
  • This study was conducted to select the optimal machinery systems for the Mechanized Farming Groups (MFG) by their sizes. In order to achieve the objective, a survey and systems analysis were taken for 50 MFG of Chungnam province. Then a mathematical model was developed. Based on it, a computer program (MFSDINGP) was developed by the Iterative Nonlinear Goal Programming (INGP) and Hooke & Jeeves pattern search algorithm. Using MFSDINGP, optimal machinery systems were selected and presented with annual costs of machinery for the sizes of 5-40 ha of MFG.

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The Role of Analogical Reasoning in Mathematical Knowledge Construction (수학적 지식의 구성에서 유추적 사고의 역할)

  • Lee, Kyung-Hwa
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.355-369
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    • 2009
  • Though there is no agreement on the definition of analogical reasoning, there is no doubt that analogical reasoning is the means of mathematical knowledge construction. Mathematicians generally have a tendency or desire to find similarities between new and existing Ideas, and new and existing representations. They construct appropriate links to new ideas or new representations by focusing on common relational structures of mathematical situations rather than on superficial details. This focus is analogical reasoning at work in the construction of mathematical knowledge. Since analogical reasoning is the means by which mathematicians do mathematics and is close]y linked to measures of intelligence, it should be considered important in mathematics education. This study investigates how mathematicians used analogical reasoning, what role did it flay when they construct new concept or problem solving strategy.

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Algorithm for Partitioning the Simulation Models Based on DEVS-features for Distributed Simulation Environment (분산 시뮬레이션을 위한 DEVS 특성 기반 시뮬레이션 모델 분배 방법)

  • Kang, Won-Seok;Kim, Ki-Hyung
    • Proceedings of the Korean Information Science Society Conference
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    • 2007.06b
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    • pp.513-518
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    • 2007
  • 시뮬레이션 방법론에 있어서 모델기반 시뮬레이션과 프로세스기반 시뮬레이션으로 나눌 수 있는데, 재사용성, 확장성, 시뮬레이터 기술 용이성 등의 장점으로 모델기반 시뮬레이션이 많이 사용되고 있다. 이러한 이유로 근래에는 컴퓨터 시스템, 항공, 자동차 등에서 모델 기반 시뮬레이션 방법이 사용되고 있다. 모델기반 시뮬레이션 방법으로 수학적 이론을 기반으로 모델을 정의하는 DEVS(Discrete Event System Specification) 형식론은 계층적이고 모듈화 된 형태로 이산사건 시스템을 기술한다. 대규모의 복잡한 시뮬레이션 모델을 검증 할 목적으로 분산 시뮬레이션 방법론이 있는데, 이들은 크게 동기적인 방법과 비동기적인 방법이 있다. 동기적 방식보다 빠른 수행을 위해 비동기적 방법은 전체 Time-order 순이 아닌 로컬 Time-order를 가진다. 그러나 비동기적 방식에는 분산된 시뮬레이터들 간의 전체 Time-order를 유지하기 위해 전 처리된 시뮬레이터 결과들을 저장하는데, Time-order 상으로 현재의 시뮬레이션 시간보다 과거의 사건이 왔을 때 그 이벤트를 처리해주어야 되기 때문이다. 이러한 비동기적 분산 시뮬레이션 방법론에서는 전체 Time-order를 유지하기 위해 과거의 Time-order를 가지는 이벤트가 왔을 때 rollback operation을 수행한다. 그러나 rollback operation은 분산 시뮬레이션 방법론에서 성능 장애요소 중 하나이다. 본 논문에서는 rollback operation을 최소할 할 수 있는 DEVS 모델 분배 방법을 제안한다.

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A Hierarchical Approach for Design Analysis and Optimization of Framed Structures (프레임 구조의 계층적 설계 해석 및 최적화)

  • Hwang, Jin Ha;Lee, Hak Sool
    • Journal of Korean Society of Steel Construction
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    • v.12 no.1 s.44
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    • pp.93-102
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    • 2000
  • Substructuring-based hierarchical approach for design analysis and optimization of structural frames is presented in this study. The conceptual framework of this method is in the hierarchical modeling for design processes as well as structural systems and the methodology combining substructuring analysis and multilevel optimization. Mathematical models for analysis and synthesis are established on the common basis of substructuring systems. Modularized behavioral analysis, design sensitivity analysis and optimization are linked and integrated on the mathematical and structural basis of substructuring. Substructures are coordinated with the active constraints for system level and the weight ratio criteria. Numerical examples for test frames show the validity and effectiveness of the present approach.

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Lightning Impulse Response with Two-Phase Flow in Dielectric Liquid by Using Finite Element Analysis (절연유체 내 2상유동을 고려한 뇌임펄스 응답 유한요소해석)

  • Lee, Ho-Young;Lee, Jong-Chul;Lee, Se-Hee
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1521-1522
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    • 2011
  • 뇌임펄스에 의한 절연유체 내 절연파괴 현상은 스트리머 채널에서의 유체유동과 기체유동이 동시에 발생한다. 스트리머 개시와 동시에 발생하는 기포들은 절연파괴에 직접적인 영향을 미치며 이를 모의해석하기위해서 2상유동이 고려되어야한다. 2상유동이 고려된 뇌임펄스 응답 유한요소해석은 전계에 의한 푸아송 방정식과 전자, 양이온, 음이온에 대한 전하연속방정식으로 구성되며 전계 방출과 열전자 방출효과를 경계조건으로 부여하였다. 기체 전리현상은 타운젠트 이론을 도입하였으며, 유체 전리현상은 제너 이온화 모델을 도입하여 수학적 모델링을 통한 2상유동으로 결합하였다. IEC standard #60897의 표준규격에 따라 침-구형 전극을 설계하였고 2차원 축대칭 간략화모델에 적용하여 실험적 결과와 비교분석함으로써 신뢰할 수 있는 수치해석기법이 제시되었다.

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A Study on 3D Printed Tactile mathematics textbook for Visually Impaired Students (시각장애청소년을 위한 3D 프린팅 촉각수학교재 모델 개발 연구 - 함수 지도와 관련하여 -)

  • Lee, Sang-Gu;Park, Kyung-Eun;Ham, Yoon-Mee
    • Communications of Mathematical Education
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    • v.30 no.4
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    • pp.515-530
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    • 2016
  • Recently an extensive study of the mathematicians who have overcome the visually impaired and contribute to the academic in math was published. In the case of Korea, we can find there are mathematicians who have overcome physical disabilities such as cerebral palsy and polio. However there is no example of blind person who majored mathematics to become a mathematic's teacher or professor and have entered any mathematics related professions. This let us to study the reasons that caused difficulties to visually impaired students majoring in mathematics. We also suggest ways that may help blind students to have access to mathematics intuitively. In this study, we propose a tactile mathematics textbooks and teaching manuals utilizing 3D printing which the visually impaired students can touch and feel. We can supply such materials to visually impaired youth, special education teachers and parents in Korea. As a result, visually impaired students will be able to access mathematics easily and can build their confidence in mathematics. We hope that some blind students with mathematical talent do not hesitate to major mathematics and choose career in mathematical professions.

차세대 이동통신용 무선공간 채널모델 연구

  • Park, Jae-Jun;Jeong, Hyeon-Gyu
    • Information and Communications Magazine
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    • v.24 no.9
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    • pp.67-76
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    • 2007
  • 차세대 이동통신 무선 채널모델이란 무선 인터페이스 구간 내에서의 신호 처리 모델로서 이동통신 시스템 개발에 필요한 알고리듬 구현 기술의 검증에 사용된다. 다중 안테나 사용의 중요성이 제기되기 이전에는 주로 전파 채널(propagation channel)에 관한 물리 현상의 분석이 무선 채널 모델의 주류를 이루었으나 전송속도의 증가 및 전송용량 증가를 위한 다중안테나사용이 본격화 되면서 안테나를 포함한 공간 채널(spatial channel)의 수학적 표현 및 전파현상 분석이 이동통신 시스템 개발에 중요한 역할을 수행한다. 본 고에서는 최근 WINNER 등에서 제시하는 B3G(Beyond 3G) 시스템 개발을 위한 채널 모델링 과정과 대표적인 다중 안테나 무선공간 채널모델 연구의 현황을 소개하며, 또한 차세대 이동통신을 위한 채널 모델링의 주요 연구 이슈를 소개한다.

Development of Teaching-Learning Model and Instructional Process Based on the Viewpoint of Constructivism (구성주의 관점에 의한 수학 교수-학습 모델의 설정과 수업 전개)

  • Kim Seon-Yu
    • Journal of Elementary Mathematics Education in Korea
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    • v.3 no.1
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    • pp.75-92
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    • 1999
  • Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

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