• Proceedings of the Korean Information Science Society Conference
• /
• 2000.04b
• /
• pp.529-531
• /
• 2000

웨이블릿 디노이징 기법은 웨이블릿 계수들의 thresholding 에 의해 부가적인 가우시안 노이즈들을 제가하는데 사용된다. 필터에 기반한 다른 많은 변환들처럼, 웨이블릿 scaling 방법들은 이미지의 경계선들의 근처에 블러링 현상이나 인공적인 잡음들이 나타나게 된다. 본 논문에서 구현하고자 하는 웨이블릿 변환 필터의 구현 배경은 경계선 부분의 손실없이 이미지의 노이즈 제거를 위한 것이다. 많은 이미지 향상과 회복기법들은 이러한 붕괴처리의 효과들을 위한 보상으로 개발되었다. 또한 뉴럴 필터, 퍼지 필터, LMS L-filter, quadratic filter, sigma filter 등은 이러한 이미지의 질을 개선하기 위한 수학적인 도구들이라고 할 수 있다. [1]

• Journal of the Korean School Mathematics Society
• /
• v.15 no.3
• /
• pp.453-465
• /
• 2012

In this paper, we first analysis definition of continuity of functions in high school textbooks, the mathematics high school curriculum and university mathematics textbooks. We surveyed what was causing the students to struggle in their concept image of continuity of functions. We arrived at that students' concept for errors in images of continuity of function were caused by definition of continuity of functions in high school textbooks.

• Communications of Mathematical Education
• /
• v.13 no.1
• /
• pp.337-360
• /
• 2002

그래프 능력을 바탕으로 한 함수의 그래프 표현은 함수 교수 ${\cdot}$ 학습상 중요한 위치를 차지한다. 그러나 부적절한 함수 그래프 과제 교수 ${\cdot}$ 학습 방법은 학생들의 지식 구성, 이해 과정에 영향을 주면서 수학적 오류를 형성하게 하였다. 그러므로 체계적인 오류 분석을 기반으로 한 좋은 교수학적 프로그램을 통해 수학적 오류를 예견하고 학습 과정에서 그것을 잘 처치, 활용하는 것이 효과적인 함수 교수 ${\cdot}$ 학습을 위해 요구된다. 본 연구에서는 지필 환경하에서 함수 그래프 과제를 수행한 학생들에게서 일반적으로 나타나는 수학적 오류를 점검하고, 새로운 교육용 테크놀러지 환경하에서 이러한 수학적 오류가 변화되는 과정을 살펴보고자 하였다. 첫 번째 연구 문제를 위해 고등학생 119명을 대상으로 양적 연구를 실시하였으며, 함수에 대한 개념 이미지로부터의 오류가 가장 많이 나타났음을 확인할 수 있었다. 두 번째 연구문제를 위해 고등학생 2명을 대상으로 사례 연구를 실시하였는데, 그 결과 기존의 수학적 오류가 새로운 교수학적 환경하에서 변화, 극복되는 것을 확인할 수 있었다.

• Journal for History of Mathematics
• /
• v.25 no.1
• /
• pp.71-88
• /
• 2012

The purpose of this study is to find the way to build the concept image about natural logarithm and the method is using definite integral in calculus under GeoGebra environment. When the students approach to natural logarithm, need to use dynamic program about the definite integral in calculus. Visible reasoning process through using dynamic program(GeoGebra) is the most important part that make the concept image to students. Also, for understand mathematical concept to students, using GeoGebra environment in dynamic program is not only useful but helpful method of teaching and studying. In this article, about graph of natural logarithm using the definite integral, to explore process of understand and to find special feature under GeoGebra environment. And it was obtained from a survey of undergraduate students of mathmatics. Also, relate to this process, examine an aspect of students, how understand about connection between natural logarithm and the definite integral, definition of natural logarithm and mathematical link of e. As a result, we found that undergraduate students of mathmatics can understand clearly more about the graph of natural logarithm using the definite integral when using GeoGebra environment. Futhermore, in process of handling the dynamic program that provide opportunity that to observe and analysis about process for problem solving and real concept of mathematics.

• Education of Primary School Mathematics
• /
• v.17 no.1
• /
• pp.17-40
• /
• 2014

To improve elementary mathematics education teaching and learning method and environment, the survey of elementary school students' attitude toward mathematics and their images on mathematician was conducted to mathematically gifted students and non-gifted students of 6th grade of elementary school. The study results show that mathematically gifted elementary students have deeper understanding of mathematician and their works than non-gifted students. But they are not enthusiastic to be a mathematician. On average, awareness of domestic mathematician is turned to be significantly low. And most students don't know well of mathematician. Since this study was applied to the limited range of objects, significant results were not shown in external and internal image of mathematician. Thus, the future study needs to generalize the study results by compensating this defect and developing various materials to improve students' attitude toward mathematics and images of mathematician.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.6 no.2
• /
• pp.288-293
• /
• 2002

It is possible to classify image data into two types according to the internal representation: one is bitmap, the other is vector. A bitmap image is represented by the two dimensional pixels whereas a vector image is represented by mathematical functions to draw vector objects such as line, rectangle and circle on the two or three dimensional space. So it is necessary for users to use a individual application program for each different image. In this paper, we present a method for design and implementation of image editing tool based on combining of bitmap and vector image.

• Journal of Elementary Mathematics Education in Korea
• /
• v.11 no.2
• /
• pp.199-216
• /
• 2007

The purpose of the present study was to analyze the types of errors made by students in the figure domain at the stages of first and second semester of 4th grade in elementary school that include the definition and the properties of figure, to identify the causes of such errors, and to help the teaching of the 4th grade figure domain. When the trends of errors were analyzed for each question, the most common error was the wrong use of theorems or definitions, and its main causes were student's low level in geometry and limited concept images. Thus, it is necessary to make them have clear understanding of these concepts and terms and students need to do various activities suitable for their level in geometry. In addition, figure images presented in the mathematics textbooks and the mathematics practice book have limitations. Thus, figures of various positions and lengths should be presented and described accurately, and the books should be redesigned for various practical activities.

• Cartoon and Animation Studies
• /
• s.51
• /
• pp.391-411
• /
• 2018

The purpose of this thesis is to examine ontology of digital photo image based on a Simulacre concept of Gilles Deleuze & Jean Baudrillard. Traditionally, analog image follows the logic of reproduction with a similarity with original target. Therefore, visual reality of analog image is illuminated, interpreted, and described in a subjective viewpoint, but does not deviate from the interpreted reality. However, digital image does not exist physically but exists as information that is made of mathematical data, a digital algorithm. This digital image is that newness of every reproduction, that is, essence of subject 'once existing there' does not exist anymore, and does not instruct or reproduce an outside target. Therefore, digital image does not have the similarity and does not keep the index instruction ability anymore. It means that this digital image is converted into a virtual area, and this is not reproduction of already existing but display of not existing yet. This not-being of digital image changes understanding of reality, existence, and imagination. Now, dividing it into reality and imagination itself is meaningless, and this does not make digital image with technical improvement but is a new image that is basically completely different from existing image. Eventually, digital image of the day passes step to visualize an existent target, nonexistent things have been visualized, and reality operates virtually. It means that digital image does not reproduce our reality but reproduces other reality realistically. In other words, it is a virtual reproduction producing an image that is not related to a target, that is to say Simulacre. In the virtually simulated world, reality has an infinite possibility, and it is not a picture of the past and present and has a possibility as the infinite virtual that is not fixed, is infinitely mutable, and is not actualized yet.

• Journal of Educational Research in Mathematics
• /
• v.15 no.3
• /
• pp.273-286
• /
• 2005

We teach students to explore geometric figures by its properties and establish relationships between some basic figures. The concept of parallel line play very im-portant roles in such geometry learning process. In this study, 1 investigate the con-cept of parallel line we teaching in elementary school. Students have wrong concept images for parallel line, which is the result of the elementary school mathematics text books, where only typical cases for parallel line Is presented and there is no method to find if two lines is parallel or not. Therefore, we should teach explicitly students to find if two lines is parallel or not. The depth study on it is needed to develope students' geometric thought level.

• 발명특허
• /
• v.5 no.11 s.57
• /
• pp.18-20
• /
• 1980

코페르니쿠스의 보수적요소를 거부하고 근본적으로 태양중심체계를 바꾸어 놓은 것은 케플러 (Gohannes Kepler, 1571-1630)였다. 그는 튀빙엔에서 신학을 공부했으나 천문학으로 관심을 돌렸다. 그에게 천문학을 가르친 매스틀린(Mastlin)은 지구중심우주체계를 강의했지만 사석에서는 코페르니쿠스가 맞는다고 했다. 그래서 케플러는 이미 학생시절에 열렬한 코페르니쿠스주의자가 되어 있었다. 케플러는 루터파 신교도로서 우주에서 삼위일체를 보았다. 즉 태양은 성교, 별들은 성자, 중간의 공간은 성신이었다. 그는 우주가 살아 있으며 행성들과 지구는 영혼을 가지고 있다고 믿었다. 이것은 아마도 당시에 크게 유행한 루터파 신비주의의 영향인 듯하다. 케플러는 철저한 피타고라스${\cdot}$플라톤주의자였다. 그는 우주가 수학적 조화를 이루고 있고, 신은 위대한 기하학자이며, 인간은 신의 이미지를 따서 만들어졌다고 보았다. 따라서 인간은 수학을 통해 우주를 이해할 수 있다는 생각이었다.