• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.561-582
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• 2013

Meanwhile, the meaning has been emphasized in mathematics. But the meaning of meaning had not been clearly defined and the meaning classification had not been reported. In this respect, the meaning was classified as expressive and cognitive. Furthermore, it was reclassified as mathematical situation and real situation. Based on this classification, we investigated how student recognizes the meaning when solving mathematical modeling problem. As a result, we found that the understanding of cognitive meaning in real situation is more difficult than that of the other meaning. And we knew that understanding the meaning in solving of equation, has more difficulty than in expression of equation. Thus, to help students understanding the meaning in the whole process of mathematical modeling, we have to connect real situation with mathematical situation. And this teaching method through unit and measurement, will be an alternative method for connecting real situation and mathematical situation.

• Journal of the Korean School Mathematics Society
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• v.19 no.4
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• pp.357-371
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• 2016

The purpose of this study was to decide the task space and Rating Scheme of task difficulty in complicated mathematical modelling situations. One of main objective was also to conform the validation of Rating Scheme to determine the degree of difficulty by comparing the student performance with the statement of the theoretical model. In spring 2014, the experimental setting was in Modelling Course for 38 in-service teachers in mathematics education. In conclusions, we developed the Model of Task Space based on their solution paths in mathematical modelling tasks and Rating Scheme for task difficulty. The Validity of Rating Scheme to determine the degree of task difficulty based on comparing the student performance gave us the meaningful results. Within a modelling task the student performance verifies the degree of difficulty in terms of scoring higher using solution approaches determined as easier and vice versa. Another finding was some relations among three research topics, that is, degree of task difficulty on rating scheme, levels of students performance and numbers of specific heuristic. Those three topics showed the impressive consistence pattern.

• Journal of the Korean School Mathematics Society
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• v.23 no.2
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• pp.179-201
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• 2020

The purpose of this study is to analyze tasks reflected in Korean and US textbooks according to the mathematical modeling perspectives, and then to compare the diversity of learning opportunities given to students from both countries. For this, we analyzed mathematical modeling tasks of textbooks based on three aspects: mathematical modeling process, data, and expression. Results are as follows. First, with respect to modeling process, Korean textbook provides a high percentage of the task at all stages of modeling than US textbook. Second, with respect to data, both countries' textbooks have the highest percentage of matching task. Korean textbooks have a large gap in data characteristics by textbook. Third, with respect to expression, both countries' textbooks have the highest percentage of text and picture. Korean textbooks have a large gap in the type of expression than US textbooks, and some textbooks have no other expression except for text and picture. Fourth, tasks were analyzed by integrating the three features. The three features were not combined in various ways. It is necessary to diversify the integration of the three features.

• The Mathematical Education
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• v.48 no.4
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• pp.365-385
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• 2009

Recently, mathematical modeling has been attractive in that it could be one of many efforts to improve students' thinking and problem solving in mathematics education. Mathematical modeling is a non-linear process that involves elements of both a treated-as-real world and a mathematics world and also requires the application of mathematics to unstructured problem situations in real-life situation. This study provides analysis of literature review about modeling perspectives, case studies about mathematical modeling, and textbooks from the United States and Korea with perspective which mathematical modeling could be potential and meaningful to students even in elementary school. Further, teaching method with mathematical modeling was investigated to see the possibility of application to elementary mathematics classroom.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.505-522
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• 2005

In this article we studied the role of spreadsheet in teaching function and modeling activity by some examples and students' activity performed by the six 10th graders. We especially focused the role of spreadsheet in understanding of various kinds of functions and the families of functions, and in the explanation of the given modeling problem situations. The functions of automatic copy, graphic and the cell reference of spreadsheet can be used to make students observe the causes and effects of changes of the various kind of mathematical representations of functions such as algebraic formulas, tables and graphs. Especially those functions give students a chance to identify family of functions by changing the parameters and this may lead them to the discovery of mathematical facts. In modeling activities they play a key role in the stages of the analysis of the model, explanation of the results of model and conjecture of the real world situations. As well as they make students find the rules underlying in the real world by making spreadsheet as simulation environments, which are almost impossible to make in paper and pencil environments, and give them a chance to justify their findings using mathematics.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.627-629
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• 1998

본 논문에서는 파티클 시스템(Particel System)을 이용한 실시간 기체 모델링 알고리즘을 제시한다. 일반적으로 그래픽스 분야에서, 주요한 자연현상의 하나인 기체의 운동은 수학적으로 복잡한 모델을 사용하여 그 모델링이 매우 복잡하였다. 따라서 빠른 구현시간을 얻기 위해서는 고성능의 컴퓨터가 요구되어왔다. 이 알고리즘에서는 물리학에서 수학적으로 정의된, 기체의 움직임에 적용되는 요소 각각을 추계 모델(Stochastic Model)로 다시 재 정의하여 기체 입자각각에 적용시켜 계산과정을 간단히 하였다. 따라서 일반적으로 사용되는 연구용 컴퓨터시스템에서도 실시간 애니메이션의 구현이 가능하다.

• Proceedings of the KIEE Conference
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• 2011.07a
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• pp.1151-1152
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• 2011

본 논문에서는 부스트-플라이백(Integrated Boost-Flyback Converter, IBFC) 직렬 연결 구조 컨버터의 동작 특성 해석 및 정확한 제어기 설계를 위한 개선된 모델링 방법을 제시한다. 주 스위치에 의해 IBFC의 부스트, 플라이백 컨버터가 서로 다른 도통 모드로 동시에 동작 하기 때문에 2대 컨버터의 모델링과 회로 해석을 위한 이론적인 모델링 접근방법과 수학적인 계산과정이 복잡하다. 따라서 IBFC를 등가 전류 소스를 포함한 부스트, 플라이백 컨버터로 각각 나누어 상태 공간 평균화 방법을 이용하여 회로 방정식을 독립적으로 유도한 후, 이 회로 방정식을 종합하여 IBFC의 완전한 상태 공간 방정식을 얻을 수 있다. 제안된 방법은 IBFC의 복잡한 모델링을 간단하게 해 주며, 수학적인 계산 과정도 간소화 시킬 수 있는 장점이 있다. 이를 바탕으로 정상 상태 해석 및 높은 출력 전압 추종 제어기를 설계하였다. 시뮬레이션과 실험 결과를 제시하여 제안된 방법의 유효함을 검증하였다.

• Proceedings of the KAIS Fall Conference
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• 2010.11a
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• pp.363-366
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• 2010

본 논문에서는 원형구조의 전파환경을 위한 경로손실을 다각형모델링과 수학적 모델링을 통해 분석하였다. 원형의 통신환경은 비교적 좁은 반경에 곡률이 거의 없고, 내부는 공기저항을 고려한 감압상태로 Ray-tracing 기법은 원형이라는 구조적 특징을 완벽히 적용하는데 문제가 있기 때문에 원에 가까운 다각형을 모델링하였다. 다각형 모델링 방법와 수학적 방법의 전파손실분석결과 반사횟수와 관계없이 유사한 전파손실성능을 확인하였다. 본 논문은 무선을 이용한 튜브 즉, 원형의 철도운영환경도 고려되고 있는 시점에서, 기존의 철도환경과 다른 환경에 대한 무선환경분석을 위한 기초자료로 사용될 수 있을 것이다.

• The KIPS Transactions:PartD
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• v.13D no.1 s.104
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• pp.117-124
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• 2006

Hardware and software codesign framework called PeaCE(Ptolemy extension as a Codesign Environment) was developed. It allows to express both data flow and control flow which is described as fFSM which extends traditional finite state machine. While the fFSM model provides lots of syntactic constructs for describing control flow, it has a lack of their formality and then difficulties in verifying the specification. In order to define the formal semantics of the fFSM, in this paper, firstly the hierarchical structure in the model is flattened and then the step semantics is defined. As a result, some important bugs such as race condition, ambiguous transition, and circulartransition can be formally detected in the model.

• Electronics and Telecommunications Trends
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• v.14 no.3 s.57
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• pp.19-30
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• 1999

컴퓨터 그래픽스를 이용하여 3차원 물체를 모델링하는 방법은 그 이론적 배경에서 크게 두 가지로 나뉘는데, 직선들과 삼각형 혹은 사각형들을 연결하는 폴리곤 모델링 방법과 NURBS(Non Uniform Ra-tional B-splines)라는 수학적으로 정의된 곡선 혹은 곡면을 이용하는 방법이 있다. 본 고는 이미 상용화되어 사용되고 있는 몇 가지 3차원 모델링 소프트웨어들의 기능 중에서 NURBS 모델링 기능을 살펴보고 이를 비교.분석해 본다.