• The Mathematical Education
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• v.59 no.1
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• pp.1-15
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• 2020

In this paper, we analyzed curriculum materials on inequalities as regions. Constructs such as mathematical connections and curriculum articulation were used as a framework. As for articulation, our findings indicate the topic of inequalities as regions addresses meaningful subordinate mathematical thinking and skills that serve prerequisite to calculus. Regarding connections, mathematical concepts involving inequalities extend to multivariate calculus. One implication is, as an unintended consequence of curricular decision of 2015 Revised National Curriculum to teach the topic only in mathematical economics, students who plan to study STEM subjects in college but opt out of mathematics economics in high school may miss the key concept and naturally struggle to understand calculus especially the theory of multivariate function of calculus.

• KIPS Transactions on Software and Data Engineering
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• v.2 no.11
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• pp.801-808
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• 2013

In the virtual space with the interactive 3D contents, the degree of mental satisfaction is determined by how fully it reflect the real world. There are a few factors for getting the high completeness of virtual space. The first is the modeling technique with high-polygons and high-resolution textures which can heighten an visual effect. The second is the functionality. It is about how realistic represents dynamic actions between the virtual space and the user or the system. Although the studies on the techniques for animating and controlling the virtual characters have been continued, there are problems such that the long production time, the high cost, and the animation without expected behaviors. This paper suggest a method of behavior control of animation by designing the optimized skeleton which produces the movement of character and applying the procedural technique using physical law and mathematical analysis. The proposed method is free from the constraint on one-to-one correspondence rules, and reduce the production time by controlling the simple parameters, and to increase the degree of visual satisfaction.

• The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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• v.2 no.4
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• pp.55-65
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• 1991

본고의 목적은 선형 전자장 문제의 해를 구하기 위한 일반적이 절차에 대해 간단히 소개하고, 이것을 전자장 문제에 적용시켜 보는 것이다. 이것은 원시 함수 방정식이 행렬 방정식으로 유도되기 때문에, 이러한 과 정을 행렬 방법이라고도 한다. 수학적인 과정으로 행렬 방정식을 얻는 것을 모멘트 법이라고 한다. 종종 이런 과정을 근사 기법이라고도 한다. 그러나 이것은 해가 극한에서 수렴할때에는 틀린 명칭이다. 주어진 정확도를 위해서는 다른 해들과는 달리 계산시간이 많이 요구되는데, 예로 무한 멱급수 전개를 들 수 있다. 물론, 이 방법 은 정확하게 근사해를 구하는데 사용된다. 즉, 이 근사해는 극한에서 수렴하지 않는다. 모멘트 법은 전자장 문제를 다루기 위한 일반적인 절차이지만, 해를 구하는 과정은 특별한 문제에도 폭넓게 적용할 수 있다. 본고에서는 이 방법의 과정을 설명할 뿐만 아니라, 전자장 문제를 다루는 예를 들었다. 이런 예들을 가지고 유사한 문제의 해를 구할 수 있으며, 다른 유형의 문제들에 대해서는 적절하게 확장, 또 는 일부 수정을 하여 해를 구할 수 있다. 전자장 부분에서 예를 들었지만, 이 과정은 모든 종류의 전자장 문제에 적용할 수 있다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.33 no.6B
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• pp.450-455
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• 2008

We analyze the tag identification procedure of conventional EPC Class 1 RFID system and propose the fast anti-collision algorithm for the performance improvement of the system. In the proposed algorithm, the reader uses information of tag collisions and reduces unnecessary procedures of the conventional algorithm. We evaluate the performance of the proposed anti-collision algorithm and the conventional algorithm using mathematical analysis and simulation. According to the results, the fast anti-collision algorithm shows greatly better performance than conventional algorithm.

• Journal of the Korean School Mathematics Society
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• v.12 no.1
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• pp.131-149
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• 2009

A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.565-584
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• 2009

This study is aimed at providing the theoretical framework of characteristics of mathematical thinking processes and structuring the thinking process patterns of the mathematical gifted students through the analysis of their cognitive thinking processes. For this purpose, this study is trying to analyze characteristics of mathematical thinking processes of the mathematical gifted students in an objective and a systematic way, by using think-aloud method. For comparative study, the analysis framework with the use of the thinking characteristic code as a content-oriented method and the problem-solving processes code as a process-oriented method was developed, and the differences of thinking characteristics between the two groups chosen by the coding system which represented the subjects' thinking processes in the form of the language protocol through thinking-aloud method were compared and analyzed.

• Journal of Radiation Protection and Research
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• v.28 no.1
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• pp.35-42
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• 2003

Methodology for calculating the organ equivalent doses and the effective doses of pediatric and adult patients undergoing medical X-ray examinations were established. The MIRD-type mathematical phantoms of 4 age groups were constructed with addition of the esophagus to the same phantoms. Two typical examination procedures, chest PA and abdomen AP, were simulated for the pediatric patients as well as the adult as illustrative examples. The results confirmed that patients pick up approximate 0.03 mSv of effective dose from a single chest PA examination, and 0.4 to 1.7 mSv from an abdomen AP examination depending on the ages. For dose calculations where irradiation is made with a limited field, the details of the position, size and shape of the organs and the organ depth from the entrance surface considerably affect the resulting doses. Therefore, it is important to optimize radiation protection by control of X-ray properties and beam examination field. The calculation result, provided in this study, can be used to implement optimization for medical radiation protection.

• School Mathematics
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• v.16 no.3
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• pp.567-584
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• 2014

Recently professional development of teaching competence is emphasized for mathematics teachers. It is necessary to teaching experience in pre-service mathematics teacher for development of teaching competence. It need to systematic self-reflection and improvement in instruction performance for development of teaching competence of pre-service mathematics teacher. That is, Theory of teaching practice for reflect thinking and practical knowledge of teaching and systemic guidance on theory and practice of teaching practice. Therefore, the aim of this study is to develop an component and application procedure of Teaching and Learning portfolio for improvement teaching component of pre-service mathematics teacher. It is effective in improving teaching component of pre-service mathematics teacher after make Teaching and Learning portfolio for improvement teaching component.

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.95-113
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• 2019

In this paper, we analyzed the levels of cognitive demand of the tasks for developing t he mathematical core competencies presented in the "Mathematics" textbook of the first y ear of high school developed according to the 2015 revised mathematics curriculum. "Mathematics" textbook included 4999 mathematics tasks, of which 703 were tasks for developing the mathematical competency. Analysis of 703 mathematical tasks according to the analysis framework of Stein, Smith, Henningsen, and Silver (2000) showed that 61.5% of students required high cognitive levels, 38.5% required low cognitive levels, and the types of tasks were as follows: Low-M 1.0%, Low-P 37.5%, High-P 57.8%, High-D 3.7%. It w as found that most of the tasks for the purpose were tasks that led to understanding mathematical concepts, principles, and processes along procedural processes.

• Communications of Mathematical Education
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• v.14
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• pp.151-162
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• 2001

교육평가는 선발의 기능을 할 뿐 아니라 학습자의 학습상태나 오류경향에 대한 진단을 통해 학습자의 학습에 도움을 주어야 한다. 이르한 측면에서 오류분석은 평가가 지녀야 하는 가장 중요한 기능 중 하나라고 할 수 있다. 인터넷의 대중적 보급과 시간적, 공간적, 기술적 효율성은 평가환경에 대한 새로운 가능성을 제시하고 있다. 인터넷 환경에서의 평가문항은 선다형을 기본으로 하게 되는데, 선다형 평가문항을 통해서는 학습자들의 오류를 직접적으로 관출할 수 없다는 한계가 있다. 그러나 선다형 평가문항을 통한 오류분석이 불가능한 것은 아니다. 본 연구의 목적은 선다형 평가문항에서의 오류분석을 위한 구체적인 방법과 절차를 모색하는 것이다.