• School Mathematics
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• v.9 no.3
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• pp.409-426
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• 2007

The relevance of secondary school algebra focused on paper and pencil manipulation has been reconsidered along with the expansion of universal education and the development of ICT such as computer or calculators. This study was designed to investigate the issues and trends of the recent algebra so as to provide implementations for algebra curriculum in Korea. The focus of algebra education has being shifted from paper pencil manipulation to algebraic thinking. The early algebra or informal algebra is one of the important traits of revolution, and the role of ICT is integrated in newly developed curricula. In Korea, algebra education has been retaining the traditional line even though the national curriculum documents allows ICT for instruction. The reasons of these discrepancies were analyzed and the tasks for the new curriculum in accordance with the current trends were suggested in this paper.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.419-442
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• 2023

This study investigated fifth graders' understanding of variables from a generalized arithmetic and a functional perspectives of early algebra. Specifically, regarding a generalized perspective, we included the property of 1, the commutative property of addition, the associative property of multiplication, and a problem context with indeterminate quantities. Regarding the functional perspective, we covered additive, multiplicative, squaring, and linear relationships. A total of 246 students from 11 schools participated in this study. The results showed that most students could find specific values for variables and understood that equations involving variables could be rewritten using different symbols. However, they struggled to generalize problem situations involving indeterminate quantities to equations with variables. They also tended to think that variables used in representing the property of 1 and the commutative property of addition could only be natural numbers, and about 25% of the students thought that variables were fixed to a single number. Based on these findings, this paper suggests implications for elementary school students' understanding and teaching of variables.

• Korean Institute of Interior Design Journal
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• no.19
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• pp.136-143
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• 1999

Art belongs to men's mentality and plays the most representative role in mentality. The organization of mentality is complex, it has simple and distinct movement evolving into various configuration to achieve men's internal meaning and aim. The purpose of this study is to analyze Max Bill's characteristics of the spatial expression on his works, especially focuses on the concept called "simplicity". The simplicity does not means just a conceptual or formal terminology, but the logical principles of spatial organization through repeating arrangement, structural relationship, off-central ideas and the sequence of signs using by the composition of lines, faces and colors. He expressed the logical methods in various fields of art and has influenced his essential thoughts and emotion in men's mentality of the late 20th century20th century.

• Proceedings of the Korea Multimedia Society Conference
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• 2003.11a
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• pp.290-293
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• 2003

다중 물체 추적은 움직이는 물체를 추출하고 검출된 정보와 물체 정보를 이용하여 움직임 궤도률 추적하는 것이다. 따라서 정확한 움직임 추적이 수행되려면 효율적인 물체의 추출이 선행 되어 져야 한다. 일반적으로 영상 분할 알고리즘은 다양한 증류의 영상에 대한 물체의 수학적 모델이 찌대로 설정되어 있지 않기 때문에 물체를 정확하게 분리해 내기 어렵다. 그러나 물체의 추출에 주로 처리 속도가 빠른 배경영상을 이용한 차(difference) 영상 기법과 반 자동 영상분할인 Snake Model이 갖는 Active Contour 알고리즘과 같이 물체 추출 과정에서 물체의 정의니 semantic 정보를 부여 한다면 개선된 영상 분할의 결과를 얻을 수 있다. 따라서 차 영상 기법과 semantic 정보를 가진 영상분할 알고리즘은 동영상에서 움직임 물체의 VOP(Video Object Plane)를 생성하는 매우 현실적인 방법이다. 본 논문에서는 영상의 상위 레벨Semantic 정보를 이용하기 위해 변형 Snake Model를 이용한 영상분할 방법을 이용하여 영상을 추출한다. 추출된 물체는 윤곽선(곡선) 정보와 함께 에지 성분의 기울기에서 얻은 특징 점을 이용하여 물체를 추적해 나간다.

• Proceedings of the Korean Information Science Society Conference
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• 2005.11b
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• pp.277-279
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• 2005

DNA 마이크로어레이 기술의 발전으로 유전자 발현에 대한 많은 양의 정보가 쏟아지게 되었고, 이러한 정보들을 이용하여 유전자 조절 네트워크를 수학적으로 모델링하는 것이 시스템 생물학의 중요 관심사로 떠오르고 있다. 본 논문에서는 실험에서 얻어낸 데이터를 유전 프로그래밍을 이용한 기호 회귀를 통해 데이터 지점을 조정하고 유전 프로그래밍의 결과 함수를 이용해 각 지점에서의 미분값을 얻어내었다. 그 뒤, 불리안 네트워크를 표현하는 이진 배열과 S-시스템을 표현하는 실수 배열을 결합한 해를 사용하는 유전 알고리즘으로 앞에서 얻은 데이터를 이용해 원하는 S-시스템의 구조와 매개변수를 구해내었다.

• Proceedings of the Korean Information Science Society Conference
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• 2005.07b
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• pp.910-912
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• 2005

Maple은 수학적 표현에 가까운 프로그래밍 언어로, 함수, 표현열(sequence), 집합, 리스트, 배열, 테이블, 등의 자료구조를 가지고 있다. 단순히 과학 계산과 관련된 수식처리뿐만 아니라 수식기호와 표현을 해석하여 그 문법과 의미를 파악할 수 있는 기능을 갖추고 있다. 본 연구에서는 Maple을 이용하여 그래프 이론 학습에 사용할 수 있는 white box형 워크시트를 개발하고, 개발된 워크시트를 웹에서 서비스 할 수 있도록 html로 변환하였다.

• The Korean Journal of Food And Nutrition
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• v.30 no.2
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• pp.319-325
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• 2017

In this study, we optimized the coffee extraction conditions for instant coffee production in two stage percolators, which is the most common coffee extractor for instant coffee production. A central composite design was used to build mathematical model equations for response surface methodology (RSM). In these equations, the yield and overall acceptability of the coffee extracts were expressed as second-order functions of three factors, the feed water temperature, draw-off factor (DOF), and extraction time (cycle time). Based on the result of RSM, the optimum conditions were obtained with the use of desirability function approach (DFA) which find the best compromise area among multiple options. The optimum extraction conditions to maximize the yield and overall acceptability over 40% of yield were found with $163^{\circ}C$ of feed water temperature, 4.3 of DOF and 27 minutes of extraction time (cycle time). These results provide a basic data for the coffee extraction conditions for the competitive instant coffee in the industry.

• Korean Journal of Food Science and Technology
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• v.19 no.6
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• pp.463-470
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• 1987

In order to develop a rapid predicting method of the shelf-life of moisture sensitive foods and establish their proper packaging methods, the qualify changes and shelf-life of dired laver as a model food were studied by the computer simulation. A mathematical model of the relationship between the rate constants of chlorophyll a and water activity was established at $10^{\circ}C,\;25^{\circ}C$ and $40^{\circ}C$. Computer simulation to predict water activity and chlorophyll a was developed by considering the simultaneous influence of storage conditions such as water content of products, storage temperature and relative humidity, packaging materials. Simulated quality changes of dried laver was in good agreement with the experiment data. Chlorophyll a and sensory score decreased as the water activity increased. And correlation coefficient between the sensory scores and the contents of chlorophyll a was very high as 0.991. The critical water activity by sensory evaluation was around 0.55. The shelf-life of dried laver packaged with plastic films could be predicted from the above results in various storage conditions.

• The Journal of the Korea institute of electronic communication sciences
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• v.12 no.6
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• pp.1027-1034
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• 2017

In this paper, we propose a new function embedding method that can measure mathematical projections of probability amplitude, probability, average expectation and matrix elements of stationary-state unit matrix at all control operation points of quantum gates. The function embedding method in this paper is to embed orthogonal normalization condition of probability amplitude for each control operating point into a binary scalar operator by using Dirac symbol and Kronecker delta symbol. Such a function embedding method is a very effective means of controlling the arithmetic power function of a unitary gate in a unitary transformation which expresses a quantum gate function as a tensor product of a single quantum. We present the results of evolutionary operation and projective measurement when we apply the proposed function embedding method to the ternary 2-qutrit cNOT gate and compare it with the existing methods.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.287-313
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• 2005

The decimal fraction concept plays an important role in understanding the real number which is one of the major concepts in school mathematics. In the school mathematics of Korea, the decimal fraction is treated merely as a sort of name of the common fraction, while many other important aspects of the decimal fraction concept are ignored. In consequence students fail to understand the decimal fraction concept properly, and merely consider it as a kind of number for formal computation. Preceding studies also identified students' narrow understanding of the decimal fraction concept. But none of them succeeded in clarifying the essences of the decimal fraction concept, which are crucial for discussing the didactical problems of it. In this study we attempted a didactical analysis of the decimal fraction concept and disclosed the roots of didactical problems and presented measures for its improvement. First, we attempted a phenomenological analysis of the decimal fraction concept and extracted 9 elements of the decimal fraction concept. Second, we has analyzed of the essence of the decimal fraction concept more clearly by relating it to the situations where it functions and its representations. For this we tried to construct the conceptual field of the decimal fraction. Third, we categorized he developmental levels of the decimal fraction concept from the aspect of external manifestation of the internal order. On the basis of these results, we attempted hierarchical structuring of the elements of the decimal fraction concept. And using the results of such a didactical analysis on the decimal number concept we analyzed the mathematics curriculum and textbooks of our country, investigated levels of students' understanding of the decimal fraction concept, and disclosed related problems. Finally we suggested directions and measures for the improvement of teaching decimal fraction concept.