• Title/Summary/Keyword: 직관 기하 교육

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VRML을 이용하는 3 차원 융합 영상의 가시화와 위치 측정 구현 : 간질 환자의 적용 예

  • 이상호;유선국;정해조;강원석;성민모;이재훈;김새롬;김희중
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2003.09a
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    • pp.50-50
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    • 2003
  • World Wide Web (WWW)에서 Virtual Reality Modeling Language (VRML)를 이용하는 3 차원 (3D) 디스플레이는 사용자에게 직관적인 정보를 더 효과적으로 제공해 준다. 웹을 기반으로 하는 해부학적 영상과 융합되는 기능적 영상의 3D 가시화는 아직까지 체계적인 방식으로 연구가 활발히 진행되지 않았다. 이 연구의 목적은 2D 영상들과 함께 웹에서 VRML을 이용하여 구현되는 3D 해부학적 표면 영상들과 기능적 표면 영상들을 동시적으로 관찰할 수 있게 하고 VRML을 통해 만들어진 거리 측정 도구를 가지고 관심영역의 공간적인 위치 정보를 제공하는 것이다. 본 연구에서는 한 명의 간질 환자로부터 Magnetic Resonance (MR) 축면 영상과 발작기 및 발작간기 Single Photon Emission Computed Tomo graphy (SPECT) 축면 영상들을 각각 획득하였다. 발작 진원지의 확인을 향상시키기 위해서 subtraction ictal SPECT co registered to MRI (SISCOM) 을 수행하였다. SISCOM 결과로 나타난 각 2D 영상들은 모든 voxel 들의 평균 값 위로 1 표준편차와 2 표준편차에 해당하는 문턱 이상의 영상 값을 갖도록 하였다. SISCOM으로 나타나는 간질 발작 진원지들과 MRI 영상에서 회색질, 백색질 및 뇌척수액의 경계들을 각각 분할하고 marching cube 알고리즘에 의해 VRML 표면 영상들로 나타내었다. 축면 영상에서 실제 거리를 나타내는 x, y 축의 길이를 측정하고 z 축선의 길이를 계산하였다. VRML을 이용한 거리 측정 도구를 만들어 이전의 VRML 표면 영상들과 융합하였다. MRI 영상을 이용하여 3D 표면 영상들의 단면을 나타내고 3D 표면 영상들의 투명도를 설정하기 위해 Java Script 루틴을 사용자 인터페이스 도구로서 삽입하였다. 웹 페이지에서 구현되는 3D 표면 영상들의 투명도와 관찰 위치를 조절함에 따라 모델들 사이의 공간적인 정보를 직관적으로 알 수 있었다. 간질 발작 진원지에 대응하는 해부학적 구조를 3D 표면 영상들을 가로지르는 MRI 평면 영상들을 통해서 확인하였다. 결론적으로 본 연구에서 제시하는 웹에 근거한 3D 융합 영상의 가시화와 위치 측정은 진단 및 치료 방사선학과 외과학 등의 분야에서 온라인 방식의 연구와 교육에 있어 많은 도움을 줄 것이다.

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The Generalization of the Area of Internal Triangles for the GSP Use of Mathematically Gifted Students (중등 영재학생들의 GSP를 활용한 내분삼각형 넓이의 일반화)

  • Lee, Heon-Soo;Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.15 no.3
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    • pp.565-584
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    • 2012
  • This study investigates how the GSP helps gifted and talented students understand geometric principles and concepts during the inquiry process in the generalization of the internal triangle, and how the students logically proceeded to visualize the content during the process of generalization. Four mathematically gifted students were chosen for the study. They investigated the pattern between the area of the original triangle and the area of the internal triangle with the ratio of each sides on m:n respectively. Digital audio, video and written data were collected and analyzed. From the analysis the researcher found four results. First, the visualization used the GSP helps the students to understand the geometric principles and concepts intuitively. Second, the GSP helps the students to develop their inductive reasoning skills by proving the various cases. Third, the lessons used GSP increases interest in apathetic students and improves their mathematical communication and self-efficiency.

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A Study on Development of Instructional Materials Using Geometric Properties of Tangram (칠교판(七巧板)의 기하학적 특징을 이용한 교육자료 개발에 대한 연구)

  • Shim, Sang-Kil;Jo, Jeong-Gil
    • Journal for History of Mathematics
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    • v.21 no.4
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    • pp.169-182
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    • 2008
  • This study has been searching for reasoning process solving the problem effectively in activities related to meaningful classification of pieces and geometric properties with tangram. In activities using some pieces of tangram, we systematically came up with every solution in classifying properties of pieces and combining selected pieces. It is very difficult for regular students to do this tangram. In order to solve this problem effectively, we need to show that there are activities using the idea acquired in reasoning process. Through this process, we do not simply use tangram to understand he concept and play for interest but to use it more meaningfully. And the best solution an not be found by a process of trial and error but must be given by experience to look or it systematically and methods to reason it logically.

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Research on Teaching Method for the Properties of Arithmetic Based on Analysis of Elementary School Mathematics Textbooks (교과서 분석에 기초한 연산법칙의 지도 방안 탐색)

  • Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.1-22
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    • 2017
  • The properties of arithmetic are considered as essential to understand the principles of calculation and develop effective strategies for calculation in the elementary school level, thanks to agreement on early algebra. Therefore elementary students' misunderstanding of the properties of arithmetic might cause learning difficulties as well as misconcepts in their following learning processes. This study aims to provide elementary teachers a part of pedagogical content knowledge about the properties of arithmetic and to induce some didactical implications for teaching the properties of arithmetic in the elementary school level. To do this, elementary school mathematics textbooks since the period of the first curriculum were analyzed. These results from analysis show which properties of arithmetic have been taught, when they were taught, and how they were taught. Based on them, some didactical implications were suggested for desirable teaching of the properties of arithmetic.

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Personalized Virtual Storytelling with Responsive Multimedia System (반응형 멀티미디어 시스템을 이용한 개인화된 스토리텔링 기법)

  • Lee, Young-Ho;Oh, Se-Jin;Park, Young-Min;Woo, Woon-Tack
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.118-123
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    • 2006
  • 본 논문에서는 반몰입형 가상현실 시스템인 반응형 멀티미디어 시스템(RMS: Responsive Multimedia System)을 이용한 개인화된 스토리텔링 기법을 제안한다. 인간은 글, 그림, 영상 기술 등을 이용한 다양한 스토리텔링 기법을 개발해 왔으며, 가상 현실 기술을 통하여 기존의 멀티미디어보다 한차원 높은 수준의 스토리텔링을 가능하게 하였다. 제안된 스토리텔링 기법은 테이블 형태의 다감각 사용자 인터페이스, 사용자 정보 처리와 위치기반 이벤트를 결정하는 컨텍스트 인식 응용 모델 (vr-UCAM), 그리고 가상환경 네비게이션과 변화, 캐릭터의 애니메이션을 가능케 하는 가상공간 관리기로 구성된다. 제안된 스토리텔링 기법은 다감각 사용자 인터페이스를 통하여 직관적인 상호작용을 가능하게 한다. 그리고 컨텍스트 인식 응용 모델을 활용하여 사용자 개인정보를 스토리에 적용하여 개인화된 스토리가 전개될 수 있도록 한다. 그리고 가상 환경의 네비게이션, 가상 캐릭터, 날씨 및 환경의 변화 등을 조절하여 실감있게 스토리가 전개되도록 한다. 제안된 스토리텔링 환경을 검증하기 위해 운주사에 얽힌 설화를 기반으로 가상 운주사 체험 시스템을 구현하였다. 이를 통해, 반응형 멀티미디어 시스템을 이용한 스토리텔링의 가능성을 검증하였으며, 컨텍스트 인식 응용 모형을 활용한 개인화된 스토리텔링을 선보였다. 제안된 스토리텔링 기법은 문화교육, 에듀테인먼트, 예술 분야에 활용될 것으로 기대된다.

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A Study on the Educational Implications of Zeno's Paradoxes through Philosophical Investigation (제논의 역설에 대한 철학적 검토를 통한 교육적 시사점 고찰)

  • Baek, Seung Ju;Choi, Younggi
    • Journal for History of Mathematics
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    • v.33 no.6
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    • pp.327-343
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    • 2020
  • This study investigate philosophical discussions related to the Zeno's paradoxes in order to derive the mathematics educational implications. The paradox of Zeno's motion is sometimes explained by the calculus theories. However, various philosophical discussions show that the resolution of Zeno's paradox by calculus is not a real solution, and the concept of a continuum which is composed of points and the real number continuum may not coincide with the physical space and time. This is supported by the fact that the hyperreal number system of nonstandard analysis could be another model of a straight line or time and that an alternative explanation of Zeno's paradox was possible by the hyperreal number system. The existence of two different theories of the continuum suggests that teachers and students may not have the same view of the continuum. It is also suggested that the real world model used in school mathematics may not necessarily match the student's intuition or mathematical practice, and that the real world application of mathematics theory should be emphasized in education as a kind of 'correspondence.'

An Analysis of High School Student's Understanding Level about Basic Concepts of Special Relativity through in-depth interview (심층 면담을 통한 고등학생들의 특수 상대론 기초 개념에 대한 이해 수준 분석)

  • Kim, Jaekwon;Jung, Jinkyu;Kim, Youngmin
    • Journal of Science Education
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    • v.38 no.3
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    • pp.569-584
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    • 2014
  • The Purpose of this study was an analysis of high school student's understanding level about concepts of special relativity through in-depth interview. The 8 participants were 10th grade students in H high school in Ulsan city, who were interviewed and analyzed in the results of the interview about basic concepts of special relativity using achievement checklist in 6 situations(principle of constancy of light velocity, principle of relativity, relativity of simultaneity, garage paradox, rocket paradox). As results of the checklist, the participants showed high achievement in the content level of simple phenomena and simple concepts related to special relativity. But they showed low achievement in the concept level for fundamental understanding of special relativity. As results of the interview, it was found that the participants decided the order of events depending on their intuition and had a difficulty to apply the coordinate system to real situation, even though they mathematically understood it. In addition, some participants who could not understand the inertial coordinate system explained paradoxes of relativity depending on their intuition and had learner's chaos. Finally, though high school students usually being in formal operational stage, some students had difficulty to draw phenomena of space and time in two dimensional plane.

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Design of method to analyze UI structure of contents based on the Morphology (형태적 관점의 콘텐츠 UI구조 분석 방법 설계)

  • Yun, Bong Shik
    • Smart Media Journal
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    • v.8 no.4
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    • pp.58-63
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    • 2019
  • The growth of the mobile device market has changed the education market and led to the quantitative growth of various media education. In particular, smart devices, which have better interaction than existing PCs or consoles, can develop more user-friendly content, allowing various types of educational content and inducing changes in traditional education methods for consumers. Although many researchers recently suggest viable development methods or marketing elements of contents, development companies, and developers, until now, merely rely on the human senses. Therefore, it is necessary to study the actual user's smart-device based usability and experience environment. This study aims to propose an intuitive statistical processing method for analyzing the usability of game-type educational contents in terms of form, for popular games that have been released as a basis for analyzing the user experience environment. In particular, because the game industry has a sufficient number of similar examples, it is possible to conduct research based on big data and to use them for immediate decision-making between multiple co-developers through the analysis method proposed by the research. It is expected to become an analytical model that can communicate with other industries because it is effective in securing data sources.

Effect of Inquiring Activities through Manipulative Materials-Experiment on Geometrical Properties Understanding and Communicative Competence (구체적 조작.실험을 통한 탐구활동이 평면도형의 성질 이해 및 수학적 의사소통능력에 미치는 영향)

  • Lim, Geun-Gwang
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.701-722
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    • 2010
  • Students have to investigate, experiment and inquire using the manipulative materials and real-world thing for studying Geometry. Manipulative materials activities encourage to understand mathematical concept and connection of symbol. Experiment activities using the computer focused the student's intuitive and inquisitive activities because of visualization of an abstract mathematics concept. This study developed a workbook through the use of manipulative materials and computer for operating and experimenting, and suggested a method for inquiry of geometrical properties and proved an effect. Manipulative materials-experiment activities was proven effective to middle level and lower level students in understanding the geometrical properties, and was proven effective to high level and lower level students when it comes to mathematical communication ability. When students operate, at first, they have to know about the feature and information of the materials, and the teacher has to make an elaborate plan and encourages the students to discuss about this.

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Accuracy Analysis for Slope Movement Characterization by comparing the Data from Real-time Measurement Device and 3D Model Value with Drone based Photogrammetry (도로비탈면 상시계측 실측치와 드론 사진측량에 의한 3D 모델값의 정확도 비교분석)

  • CHO, Han-Kwang;CHANG, Ki-Tae;HONG, Seong-Jin;HONG, Goo-Pyo;KIM, Sang-Hwan;KWON, Se-Ho
    • Journal of the Korean Association of Geographic Information Studies
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    • v.23 no.4
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    • pp.234-252
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    • 2020
  • This paper is to verify the effectiveness of 'Hybrid Disaster Management Strategy' that integrates 'RTM(Real-time Monitoring) based On-line' and 'UAV based Off-line' system. For landslide prone area where sensors were installed, the conventional way of risk management so far has entirely relied on RTM data collected from the field through the instrumentation devices. But it's not enough due to the limitation of'Pin-point sensor'which tend to provide with only the localized information where sensors have stayed fixed. It lacks, therefore, the whole picture to be grasped. In this paper, utilizing 'Digital Photogrammetry Software Pix4D', the possibility of inference for the deformation of ungauged area has been reviewed. For this purpose, actual measurement data from RTM were compared with the estimated value from 3D point cloud outcome by UAV, and the consequent results has shown very accurate in terms of RMSE.