• 제목/요약/키워드: Geometrical tasks

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중학교 학생들의 기하 과제 해결을 위한 논증 활동의 특징 탐색 - Verheij의 반박 유형을 중심으로 - (An Investigation on the Properties of the Argumentation for Students' Performing Geometric Tasks in Middle School-Based on the Type of the Rebuttal of Verheij)

  • 황혜정;홍성기
    • 대한수학교육학회지:수학교육학연구
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    • 제27권4호
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    • pp.701-725
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    • 2017
  • 본 연구에서는 학생들이 스스로 대화에 참여하여 자신과 상대방 간의 생각을 나누는 과정, 즉 반성, 변화 및 설득해 가는 과정에서 논증 활동을 경험하는 기회를 가지는 것이 중요하다고 판단하여 수학 수업 시간에 학생들이 과제를 해결하는 과정에서 이뤄지는 논증 활동을 면밀히 살펴보고자 하였다. 또한, 논증 활동 요소 중 하나인 '반박'에 중점을 두어 학생들이 수학 과제를 해결하는 과정에서 나타나는 반박의 유형이 무엇인지, 또 논증 활동이 일어나는 상황에서 반박이 논증 요소 중 무엇을 목표로 하는지 살펴보고자 하였으며, 이때 Verheij(2005)가 제안한 다섯 가지 반박 유형에 기초하여 탐색하고자 하였다. 이를 위하여 중학교 3학년 4명의 학생들을 대상으로 두 개의 기하 과제 중심의 토론 수업을 약 50분씩 두 차례 진행하고, 한 차례 반 구조화된 면담을 실시하였다. 본 연구를 통하여 학생들의 논증 활동에서 반박 유형에 초점을 두고 논증 활동을 세밀하게 탐색해 봄으로써 논증 활동에 대한 보다 견고한 이해를 돕고자 하였다.

van Hiele의 학습단계에 따른 초등학교 4학년의 도형지도 방안연구 (A Study on Teaching Figures Based on van Hiele's Theory - Focused on the 4th Graders -)

  • 서은영;장혜원
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제13권2호
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    • pp.85-97
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    • 2010
  • 학생들은 학교수학에서 중요한 위상을 차지하는 도형과 관련하여 다양한 사고를 하게 되며 학생들의 사고 수준의 파악은 교수-학습 효과로 직결되기 때문에 도형 지도와 관련하여 van Hiele의 기하 사고수준 이론은 중요하게 다루어진다. 기하 사고 수준의 도약적 특성 때문에 서로의 의사소통 불가능성까지 감안해야 한다는 시사점을 고려하면 지도하고자 하는 학생의 기하 사고 수준을 파악하는 것은 필수적이며, 뿐만 아니라 그들의 사고 수준 향상을 위해서 어떠한 지도 내용 및 방법을 구현해야 하는가도 핵심적인 기하 영역의 교육문제이다. 본 연구에서는 경남 통영의 한 초등학교 4학년 학생 10명을 대상으로 그들의 기하 사고 수준을 고려한 도형 단원의 교수-학습 지도안을 작성하여 적용함으로써 사고 수준의 변화를 관찰하고 수업을 분석한 결과, 학생들의 사고 특성 및 교수학적 시사점을 도출할 수 있었다.

Estimating 3-D surface geometrical features on the basis of surface curvature consistency

  • Zha, H.B.;Muramatsu, S.;Nagata, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.54-59
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    • 1993
  • This paper presents a method of estimating 3-D surface geometrical features that are necessary for 3-D object recognition and image interpretation. The features, such as surface needle maps and curvatures, are computed from range or intensity images. In general, the range and intensity images are prone to noises, and hence the features computed by differentiation calculi on such a noisy image are hardly applicable to industrial recognition tasks. In our approach, we try to obtain a more accurate estimate of the features by using a least-squares minimization procedure subject to local curvature consistency constraints. The algorithm is robust with respect to noises and is completely independent of the viewpoint at which the image is taken. The performance of the ajgoritlim is evaluated using both synthetic data and real intensity images.

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Interactive Navigational Structures

  • Czaplewski, Krzysztof;Wisniewski, Zbigniew
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.1
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    • pp.495-500
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    • 2006
  • Satellite systems for objects positioning appeared indispensable for performing basic tasks of maritime navigation. Navigation, understood as safe and effective conducting a vehicle from one point to another, within a specific physical-geographical environment. [Kopacz, $Urba{\acute{n}}ski$, 1998]. However, the systems have not solved the problem of accessibility to reliable and highly accurate information about a position of an object, especially if surveyed toward on-shore navigational signs or in sea depth. And it's of considerable significance for many navigational tasks, carried out within the frameworks of special works performance and submarine navigation. In addition, positioning precisely the objects other than vessels, while executing hydrographical works, is not always possible with a use of any satellite system. Difficulties with GPS application show up also while positioning such off-lying dangers as wrecks, underwater and aquatic rocks also other naturaland artificial obstacles. It is caused by impossibility of surveyors approaching directly any such object while its positioning. Moreover, determination of vessels positions mutually (mutual geometrical relations) by teams carrying out one common tasks at sea, demands applying the navigational techniques other than the satellite ones. Vessels'staying precisely on specified positions is of special importance in, among the others, the cases as follows: - surveying vessels while carrying out bathymetric works, wire dragging; - special tasks watercraft in course of carrying out scientific research, sea bottom exploration etc. The problems are essential for maritime economy and the Country defence readiness. Resolving them requires applying not only the satellite navigation methods, but also the terrestrial ones. The condition for implementation of the geo-navigation methods is at present the methods development both: in aspects of their techniques and technologies as well as survey data evaluation. Now, the classical geo-navigation comprises procedures, which meet out-of-date accuracy standards. To enable meeting the present-day requirements, the methods should refer to well-recognised and still developed methods of contemporary geodesy. Moreover, in a time of computerization and automation of calculating, it is feasible to create also such software, which could be applied in the integrated navigational systems, allowing carrying out navigation, provided with combinatory systems as well as with the new positioning methods. Whereas, as regards data evaluation, there should be applied the most advanced achievements in that subject; first of all the newest, although theoretically well-recognised estimation methods, including estimation [Hampel et al. 1986; $Wi{\acute{s}}niewski$ 2005; Yang 1997; Yang et al. 1999]. Such approach to the problem consisting in positioning a vehicle in motion and solid objects under observation enables an opportunity of creating dynamic and interactive navigational structures. The main subject of the theoretical suggested in this paper is the Interactive Navigational Structure. In this paper, the Structure will stand for the existing navigational signs systems, any observed solid objects and also vehicles, carrying out navigation (submarines inclusive), which, owing to mutual dependencies, (geometrical and physical) allow to determine coordinates of this new Structure's elements and to correct the already known coordinates of other elements.

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스테레오 카메라를 장착한 주행 로봇의 야외 탐사 (Terrain Exploration Using a Mobile Robot with Stereo Cameras)

  • 윤석준;박성기;김수현;곽윤근
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.766-771
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    • 2004
  • In this paper, new exploration mobile robot is presented. This mobile robot, called Robhaz-6W, is able to overcome hazardous terrains, recognize three dimensional terrain information and generate a path toward the destination by itself. We develop the passive four bar linkage mechanism adoptable to such terrain without any active control and the real time stereo vision system for obstacle avoidance, a remote control and a path planning method. And the geometrical information is transmitted to the operator in the remote site via wireless LAN equipment. And finally, experimental results for the passive mechanism, the real time stereo vision system, the path planning are reported, which show the versatility of the proposed mobile robot system to carry out some tasks.

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Novel Calibration Method for the Multi-Camera Measurement System

  • Wang, Xinlei
    • Journal of the Optical Society of Korea
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    • 제18권6호
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    • pp.746-752
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    • 2014
  • In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera mefasurement system as the feature of parallels exists widely.

기계 제품의 개념 설계를 위한 하향 설계 지원 CAD시스템의 개발 (Framework of a CAD System to Support Design Process Modeling of Mechanical Products)

  • 홍진웅;이건우
    • 한국CDE학회논문집
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    • 제5권4호
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    • pp.359-372
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    • 2000
  • Current CAD systems are good enough to be used as a tool to manipulate three-dimensional shapes. This is a very important capability to be owned by a design tool because a major portion of designers'activities is spent on the shape manipulation in the design detailing process. However, the whole design process involves a lot more than the, shape manipulation. Currently, these remaining tasks, mostly logical reasoning process for the function realization together with structure decomposition in the top-down manner, are processed in the designer's brain. To support the top-down functional design process of a mechanical product, a system integrating the functional, structural and geometrical aspects of a product design in a unified environment is presented. Using this system, a designer can perform function decomposition, structure decomposition, and geometry detailing, and function verification activities in parallel and the whole design process it modeled resultantly. Once the whole design process is modeled, any redesign task can be automatically performed with the verification of the desired functions.

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Delay Time Optimal Coordination Planning for Two Robot Systems

  • Lee, Ji-Hong;Nam, Heon-Seong;Joon Lyou
    • Journal of Electrical Engineering and information Science
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    • 제2권3호
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    • pp.51-60
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    • 1997
  • A practically applicable collision free trajectory planning technique for tow robot systems is proposed. The robot trajectories considered in this work are composed of many segments, an at the intersection points between segments robots stop to assemble, weld, ordo other jobs by the attached a end-effectors. The proposed method is based on the Planning-Coordination Decomposition where planning is to find a trajectory of each robot independently according to their tasks and coordination is to find a velocity modification profile to avoid collision with each other. To fully utilize the independently planned trajectories and to ensure no geometrical path deviation after coordination, we develop a simple technique added the minimal delay time to avoid collision just before moving along path segments. We determine the least delay time by the graphical method in the Coordination space where collisions and coordinations are easily visualized. We classify all possible cases into 3 group and derive the optimal solution for each group.

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Deep Learning 기반의 폐기물 선별 Vision 시스템 개발 (Development of Deep Learning based waste Detection vision system)

  • 한봉석;권혁원;신봉철
    • Design & Manufacturing
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    • 제16권4호
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    • pp.60-66
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    • 2022
  • Recently, with the development of industry and the improvement of living standards, various wastes are generated along with the production of various products. Most of these wastes are used as containers for products, and plastic or aluminum is used. Various attempts are being made to automate the classification of these wastes due to the high labor cost, but most of them are solved by manpower due to the geometrical shape change due to the nature of the waste. In this study, in order to automate the waste sorting task, Deep Learning technology is applied to a robot system for waste sorting and a vision system for waste sorting to effectively perform sorting tasks according to the shape of waste. As a result of the experiment, a Deep Learning parameter suitable for waste sorting was selected. In addition, through various experiments, it was confirmed that 99% of wastes could be selected in individual & group image learning. It is expected that this will enable automation of the waste sorting operation.

수학영재들의 아르키메데스 다면체 탐구 과정 - 정당화 과정과 표현 과정을 중심으로 - (Mathematically Gifted Students' Justification Patterns and Mathematical Representation on a Task of Spatial Geometry)

  • 이경화;최남광;송상헌
    • 대한수학교육학회지:학교수학
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    • 제9권4호
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    • pp.487-506
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    • 2007
  • 본 연구는 14명의 중학교 2학년 수학영재들이 아르키메데스 다면체를 소재로 한 공간기하과제를 해결하면서 보여주는 정당화 유형과 수학적 표현에 대한 연구이다. 문헌 연구를 통해 정당화 유형과 수학적 표현 분석을 위한 분석틀을 마련하고 이들의 다양한 반응들을 분석하였다. 정당화 유형에서는 부분적인 분석을 통해 형식화를 추구하는 학생과 비형식적이며 경험적인 정당화이지만 모든 구성요소를 고려하여 전체적 정당화를 시도하는 두 반응간의 비교를 통해 비형식적 정당화의 유용성에 분명한 주의를 기울일 필요가 있었다. 수학적 표현에서 시각적 표현은 문제해결을 위한 아이디어를 찾고, 구조를 파악하는데 유용한 역할을 하고 있었으며, 기호적 표현을 점진적으로 발전시키는 과정에서 수학적 개념을 표현 속에 함축시키고 정제시켜 정교한 기호(Harel & Paput. 1994)를 창출하려는 욕구를 발견할 수 있었다.

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