• Title/Summary/Keyword: 기하학의 기초

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Precision Digital Data Capture and Spatial Analysis for Preserving Cultural Properties (문화재 보존을 위한 수치자료 구축과 공간분석)

  • Kang, Joon-Mook;Suh, Man-Cheol;Bae, Sang-Ho;Lee, Sung-Soon
    • Journal of Korean Society for Geospatial Information Science
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    • v.5 no.2 s.10
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    • pp.55-63
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    • 1997
  • Precision digital data capture and spatial analysis system to cultural properties play important roles in preserving the existing properties. This study presents the acquisition oi digital data in geometrical context and spatial analysis for more effective management to cultural properties. Established in the same coordinates system, Precision 3D measurements and image analysis were peformed. In addition, geometrical analysis, and 3D monitoring to Songsanri Royals Tombs in Gongju were carried out in generating basedata for conservation plan.

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작도 문제의 해결 방법

  • Han, In-Gi
    • Communications of Mathematical Education
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    • v.9
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    • pp.153-164
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    • 1999
  • 작도 문제는 역사적으로 아주 오래된 문제 중의 하나일 뿐만 아니라, 현재 우리 나라 기하 교육에 있어 매우 중요한 역할을 하고 있다. 즉, 평면 기하의 중심 정리들 중의 하나인 삼각형의 합동 조건들을 도입하기 위한 기초로 주어진 조건들(세 선분, 두 선분과 이들 사이의 끼인각, 한 선분과 그 양 끝에 놓인 두 각)에 상응하는 삼각형의 작도가 행해진다. 그러나, 현행 수학 교과서나 수학 교수법을 살펴보면, 작도 문제 해결 방법 및 지도에 대한 연구가 미미한 실정이다. 본 연구에서는 작도 문제의 특성, 작도 문제의 해결 방법 및 지도에 관한 접근을 모색할 것이다. 이를 통해, 학습자들이 다양한 탐색 활동 속에서 작도 문제를 탐구할 수 있는 이론적, 실제적 근거를 제시하고, 수학 심화 학습에 작도 문제를 이용할 수 있는 가능성을 제시할 것이다.

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Using 3D Sweetening for Efficient Directing Space in Stereoscopic Image (3D 스위트닝 과정을 이용한 입체영상의 효율적인 공간 연출)

  • Kim, Myung-Ha;Hong, Hyun-Ki
    • The Journal of the Korea Contents Association
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    • v.12 no.10
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    • pp.63-71
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    • 2012
  • Depth understanding is important for stereoscopic and various methods including space design and cognitive science should be taken account in contents production. Among them, human scientific engineering such as human factor needs to be touched. More specifically, when the stereoscopic designer determines a binocular disparity, the viewpoint of the camera has to be matched with that of the audience. In this process, the structural problem by the distortion due to the dichoptic error is happened, Therefore, 3D sweetening process based on geometric re-analysis and human scientific engineering to minimize the visual fatigue is significant. This paper analyzes the inconsistency problems of the viewpoint in stereoscopic images, and we produce the stereoscopic image contents based on human factors.

The Development of Mathematics Teacher Education Program Using Explorative Computer Softwares (탐구형 소프트웨어를 활용한 수학 교사교육 프로그램 개발 탐색)

  • 류희찬;조민식;장경윤;유공주
    • School Mathematics
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    • v.5 no.1
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    • pp.97-114
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    • 2003
  • This study is a basic step research for developing mathematics teacher education program using the potential power of explorative softwares for learning geometry. This study investigates the characteristics of the softwares and noteworthy points in its applying process. Analizing an impact of this softwares on the mathematics leaching and learning, this study presents the desirable direction for developing the teacher education program for mathematics teachers to be ableto teach successfully. Focusing on GSP as an to manage classrooms of the 21st century successfully. Focusing on GSP as an excellent explorative software used widely in the current mathematics classrooms, this study investigates the potential contents to be used in the teacher education program for mathematics teachers to get new kinds of experiences about the softwares and suggests implications for choosing contents and instructional methods of the program using the softwares.

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Development of an Expert System for Precision Reducer Design of Robot (로봇용 정밀 감속기 설계 전문가 시스템 개발)

  • Park, Dae-Hyun;Nam, Won-Ki;Jang, In-Hun;Oh, Se-Hoon;Sim, Kwee-Bo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.1
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    • pp.19-25
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    • 2007
  • Among the precision reduction gent drivers lot robot system, the cycloid reducer is well known for it's high performances. Designing this reducer, there are many factors which must be considered. First, a geometrical analysis of tooth shape must be drawn from the basic concept. Second, loads, stresses and modification factors on tooth should be calculated exactly. Finally, a computer software to optimize the design of cycloid tooth needs developing on the basis of the geometric and force equations. In this research, the expert system to design the cycloid reducer was developed using Visual C++ so, the most important factors can be obtained automatically as the user put the simple input data.

Curved quadratic triangular degenerated-shell elements for geometric non-linear analysis (기하학적 비선형 해석을 위한 곡면 2차 삼각형 쉘 요소에 관한 연구)

  • Kim, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.46-53
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    • 2005
  • Compare to the large number of curved quadrilateral degenerated-shell elements, there are only a very few curved triangular degenerated-shell elements. Based on the assumed natural strain sampling scheme previously developed for a quadratic degenerated-shell element for linear analysis, this paper devises geometric non-linear six-node degenerated-shell element. The element can be curved and is only equipped with the standard nodal d.o.f.'s. Careful consideration has been exercised to circumvent various locking phenomena that plague degenerated-shell element. Numerical examples are presented to illustrate efficiency.

Mesh Parameterization based on Mean Value Coordinates (중간값 좌표계에 기초한 메쉬 매개변수화)

  • Kim, Hyoung-Seok B.
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.8
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    • pp.1377-1383
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    • 2008
  • Parameterization of a 3D triangular mesh is a fundamental problem in various applications of geometric modeling and computer graphics. There are two major paradigms in mesh parameterization: energy functional minimization and the convex combination approach. In general, the convex combination approach is wifely used because of simple concept and one-to-one mapping. However, the approach has some problems such as high distortion near the boundary and time complexity. Moreover, the stability of the linear system may not be preserved according to the geometric information of the mesh. In this paper, we present an extension of the convex combination approach based on the mean value coordinates, which resolves the drawbacks of the convex combination approach. This may be a more practical solution because it is able to generate a stable linear system in a short time.

Development of Framework of Linkage between Geometric Modeling and Finite Element Analysis for Shape Optimization of Shell Surfaces (쉘 곡면 형상의 최적 설계를 위한 유한요소해석과 기하학적 모델링의 연동)

  • Kim,Hyeon-Cheol;No,Hui-Yeol;Jo,Maeng-Hyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.8
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    • pp.27-35
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    • 2003
  • Geometric modeling tool and analysis tool of shell surface have been developed in the different environments and purposes. Thus they cannot be naturally fitted to each other for the integrated design and analysis. In the present study, an integrated framework of geometric modeling, analysis, and design optimization is proposed. It is based on the common representation of B-spline surface patch. In the analysis module, a geometrically-exact shell finite element is implemented. In shape optimization module, control points of the surface are selected as design variables. For the computation of shape sensitivities, semi-analytical method is used. Sequential linear programming(SLP) is adopted for the shape optimization of surfaces. The developed integrated framework should serve as a powerful tool for the geometric modeling, analysis, and shape design of surfaces.

Seventh Graders' Proof Schemes and Their Characteristics in Geometric Tasks (기하증명과제에서 나타나는 중학교 1학년 학생들의 증명스키마와 그 특징)

  • Byun, Gyu Mi;Chang, Kyung Yoon
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.191-205
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    • 2017
  • The purpose of this study is to investigate the types and characteristics of the Seventh Graders' proofs. Harel, & Sowder's proof schemes were used to analyze the subjects' responses. As a result of the study, there was a difference in the type of proof schemes used by the students depending on the academic achievement level. While the proportion of students using a transformative proof scheme decreased from the top to the bottom, the proportion of students using inductive (measure) proof scheme increased. In addition, features of each type of proof schemes were shown, such as using informal codes in the proof process, and dividing a given picture into a specific ratio in the problem. Based on this, we extracted four meaningful conclusions and discussed implications for proof teaching and learning.

A Comparative Study on the Similar Learning Contents between Elementary and Middle Schools in Geometry (기하 영역에서 초·중학교간 유사 학습내용에 대한 비교 분석 연구)

  • Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.23 no.1
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    • pp.27-44
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    • 2020
  • In this study, we extracted geometrical learning content that is treated similarly in elementary and middle schools, and analyzed the differences between how this study is handled in elementary and middle schools. The analysis tools used in this study were developed by referring to the research results presented by Merrill. Merrill classified the study results into two dimensions: 'performance level' and 'content type', and 'teach station' and 'proposal type' by presenting the contents in the textbook. Based on this classification, this study was conducted. According to the results of the study, nine achievement criteria were extracted as learning factors that were treated similarly in elementary and middle schools. The extracted learning elements were systematically analyzed through analysis tools. The results of this study are expected to provide significant implications for the improvement of mathematics learning and for the improvement of new curricula.