• 제목/요약/키워드: mathematical practice

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교수를 위한 수학적 지식과 학생의 성취도에 관한 문헌 연구 (Review on Relation between Knowledge for Teaching Mathematics and Student Learning)

  • 박정은
    • 대한수학교육학회지:수학교육학연구
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    • 제22권1호
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    • pp.39-52
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    • 2012
  • 교사의 교수를 위한 수학적 지식에 관한 연구는 최근 몇년동안 서서히 발전하고 있다. 교사가 수학을 가르치기 위해 필요한 지식이 무엇인가에 대한 다양한 해석과 함께, 교사의 교수를 위한 수학적 지식이 어떻게 학생 성취도와 관련되어 있는 지를 밝히려는 연구들도 역시 이루어 지고 있다. 이 논문은 교수를 위한 수학적 지식에 관한 다양한 해석들과 이 지식과 학생들의 성취도간의 관계를 조사한 연구들을 고찰하고, 이 주제를 연구하는데 어려움들이 무엇인지 밝힌다. 또한, 이 연구는 관련 문헌 연구에 기초하여, 교사의 교수를 위한 수학적 지식과 학생들의 성취도에 관한 가능한 연구 주제 및 연구 방법을 제안한다.

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A LOCALIZED GLOBAL DEFORMATION MODEL TO TRACK MYOCARDIAL MOTION USING ECHOCARDIOGRAPHY

  • Ahn, Chi Young
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제18권2호
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    • pp.181-192
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    • 2014
  • In this paper, we propose a robust real-time myocardial border tracking algorithm for echocardiography. Commonly, after an initial contour of LV border is traced at one or two frame from the entire cardiac cycle, LV contour tracking is performed over the remaining frames. Among a variety of tracking techniques, optical flow method is the most widely used for motion estimation of moving objects. However, when echocardiography data is heavily corrupted in some local regions, the errors bring the tracking point out of the endocardial border, resulting in distorted LV contours. This shape distortion often occurs in practice since the data acquisition is affected by ultrasound artifacts, dropout or shadowing phenomena of cardiac walls. The proposed method deals with this shape distortion problem and reflects the motion realistic LV shape by applying global deformation modeled as affine transform partitively to the contour. We partition the tracking points on the contour into a few groups and determine each affine transform governing the motion of the partitioned contour points. To compute the coefficients of each affine transform, we use the least squares method with equality constraints that are given by the relationship between the coefficients and a few contour points showing good tracking results. Many real experiments show that the proposed method supports better performance than existing methods.

교사의 수학에 대한 신념이 수업 방법과 학생의 문제해결 수행에 미치는 영향 (The Effects of Teacher's Beliefs about Mathematics on the Method of Class and the Performance of Problem Solving)

  • 김시년
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제3권1호
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    • pp.79-88
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    • 1999
  • This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.

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파동반사와 도플러 효과를 고려한 전차선의 속도향상 설계 (Speed-up Design for Overhead-line Considering Contact Force Fluctuations by a Wave Reflection and a Doppler Effect)

  • 조용현;이기원;권삼영;김도원
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.1353-1359
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    • 2004
  • There are many massive components added on the railway overhead-line. These components cause larger fluctuations of contact forces, which are due to wave reflections and Doppler effects when a high-speed train passes those. In this paper, mathematical formula are derived for the relation between the added mass and contact force fluctuations. Using the derived formula, we calculate a added mass on the overhead-line which cause amplification factor to become 2.5. German design practice requires that amplification factor due to the wave reflection should be less than 2.5 to obtain good current collection performance. To show the validity of the formula, simulation results are compared with the calculation results. Simulation results showed that contact force fluctuations grow rapidly when an added mass is larger than the calculation result. Therefore, the simple form of formula can be used for estimating maximum added mass not to cause large fluctuations of contact forces in early design phase.

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Algorithmic GPGPU Memory Optimization

  • Jang, Byunghyun;Choi, Minsu;Kim, Kyung Ki
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제14권4호
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    • pp.391-406
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    • 2014
  • The performance of General-Purpose computation on Graphics Processing Units (GPGPU) is heavily dependent on the memory access behavior. This sensitivity is due to a combination of the underlying Massively Parallel Processing (MPP) execution model present on GPUs and the lack of architectural support to handle irregular memory access patterns. Application performance can be significantly improved by applying memory-access-pattern-aware optimizations that can exploit knowledge of the characteristics of each access pattern. In this paper, we present an algorithmic methodology to semi-automatically find the best mapping of memory accesses present in serial loop nest to underlying data-parallel architectures based on a comprehensive static memory access pattern analysis. To that end we present a simple, yet powerful, mathematical model that captures all memory access pattern information present in serial data-parallel loop nests. We then show how this model is used in practice to select the most appropriate memory space for data and to search for an appropriate thread mapping and work group size from a large design space. To evaluate the effectiveness of our methodology, we report on execution speedup using selected benchmark kernels that cover a wide range of memory access patterns commonly found in GPGPU workloads. Our experimental results are reported using the industry standard heterogeneous programming language, OpenCL, targeting the NVIDIA GT200 architecture.

의료프로세스 관리에 경영과학적 접근방법의 응용 (Application of Methods of Management Science in Care Process Management)

  • 김태현
    • 한국병원경영학회지
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    • 제spc호
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    • pp.1-13
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    • 2016
  • In a situation where competition becomes intense, health care organizations constantly strive to provide more services with given personnel and time. While not only the 'quantity' of the services but also the 'quality' becomes increasingly important, various problems that can occur during the 'process' of service provision can be effectively managed by applying the methods of management science. In this study, we introduce the cases where the methods of management science can be applied for the management of health care organizations in Korea and abroad. There are many cases where various scenarios for improving the patients' accessibility to the services and for maximizing the efficient use of limited resources are established, and simulation or basic statistical analysis methods are used to solve the problems more systematically or to develop improvement plans. In this study, several exemplary cases, such as no-show of patients, crowding in the emergency room, prediction of the number of available beds in the intensive care units, nurse scheduling, delay of arrival of patients, and ordering of the proper amount of therapeutic materials, are introduced and discussed. From the perspective of administrators or clinicians, however, it may not be easy to master the methodology that requires considerable mathematical background or apply the theories to practice directly. Therefore, it is suggested that more practical and relatively simple analytical methods should be applied. Also, having a more positive attitude toward improving the current performance (e.g., a belief that 'we can always be better than now'), and paying attention to improving the job satisfaction by addressing problems, with experimental spirit and data-driven decision management.

조건부 차이조사의 관리한계 결정: 다구찌 품질손실 개념의 응용 (Determination of Control Limits of Conditional Variance Investigation: Application of Taguchi's Quality Loss Concept)

  • 배후석;임채관
    • 품질경영학회지
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    • 제49권4호
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    • pp.467-482
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    • 2021
  • Purpose: The main theme of this study is to determine the optimal control limit of conditional variance investigation by mathematical approach. According to the determination approach of control limit presented in this study, it is possible with only one parameter to calculate the control limit necessary for budgeting control system or standard costing system, in which the limit could not be set in advance, that's why it has the advantage of high practical application. Methods: This study followed the analytical methodology in terms of the decision model of information economics, Bayesian probability theory and Taguchi's quality loss function concept. Results: The function suggested by this study is as follows; ${\delta}{\leq}\frac{3}{2}(k+1)+\frac{2}{\frac{3}{2}(k+1)+\sqrt{\{\frac{3}{2}(k+1)\}^2}+4$ Conclusion: The results of this study will be able to contribute not only in practice of variance investigation requiring in the standard costing and budgeting system, but also in all fields dealing with variance investigation differences, for example, intangible services quality control that are difficult to specify tolerances (control limit) unlike tangible product, and internal information system audits where materiality standards cannot be specified unlike external accounting audits.

소수 데이터의 신경망 학습에 의한 카메라 보정 (Camera Calibration Using Neural Network with a Small Amount of Data)

  • 도용태
    • 센서학회지
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    • 제28권3호
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    • pp.182-186
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    • 2019
  • When a camera is employed for 3D sensing, accurate camera calibration is vital as it is a prerequisite for the subsequent steps of the sensing process. Camera calibration is usually performed by complex mathematical modeling and geometric analysis. On the other contrary, data learning using an artificial neural network can establish a transformation relation between the 3D space and the 2D camera image without explicit camera modeling. However, a neural network requires a large amount of accurate data for its learning. A significantly large amount of time and work using a precise system setup is needed to collect extensive data accurately in practice. In this study, we propose a two-step neural calibration method that is effective when only a small amount of learning data is available. In the first step, the camera projection transformation matrix is determined using the limited available data. In the second step, the transformation matrix is used for generating a large amount of synthetic data, and the neural network is trained using the generated data. Results of simulation study have shown that the proposed method as valid and effective.

피지컬 컴퓨팅 기반 소프트웨어 교육용 제품 개발 (Development of Software Education Products Based on Physical Computing)

  • 김응곤
    • 한국전자통신학회논문지
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    • 제14권3호
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    • pp.595-600
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    • 2019
  • 유아 및 저학년용 교육도구는 기술의 발달로 ICT기반의 디지털 기술이 융합되면서 스마트화 되고 있고 스마트 교육도구의 디지털 상호작용 기능은 학생들에게 보다 높은 몰입감과 재미를 선사해, 기존의 교육도구와는 전혀 다른 놀이형 도구로서 학습이 가능하다. 스마트 교육도구 구현에 활용되는 기술은 로봇공학, 컴퓨터공학, 프로그래밍 등 공학과 수학적 바탕으로 하는 학문에서 비롯되어, 그 자체로 교육 분야에 접목 될 수 있다. 본 논문에서는 현장교육에 활용되는 교육용 도구 로봇의 특성을 고려한 연구 개발 및 교육 현장에 최적화된 피지컬 컴퓨팅 기반의 제품을 설계 및 구현하여 로봇 시스템의 기반이 되는 센싱 정보처리와 소프트웨어 설계 및 프로그래밍 실습 교육을 위한 피지컬 교육이 가능하도록 개발하였다.

A Hierarchical Solution Approach for Occupational Health and Safety Inspectors' Task Assignment Problem

  • Arikan, Feyzan;Sozen, Songul K.
    • Safety and Health at Work
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    • 제12권2호
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    • pp.154-166
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    • 2021
  • Background: Occupational health and safety (OHS) is a significant interest of all governments to prevent workplace hazards. Although appropriate legislation and regulations are essentials for the protection of workers, they are solely not enough. Application of them in practice should be secured by an efficient inspection system. Fundamental components of an inspection system are inspectors and their audit tasks. Maintaining the fair balanced task assignment among inspectors strictly enhances the efficiency of the overall system. Methods: This study proposes a two-phased goal programming approach for OHS inspectors' task assignments and presents a case study. Results: The solution approach gives the balanced assignment of inspectors to the workplaces in different cities of the country in the planning period. The obtained schedule takes into account the distances covered by the work places and the number of the workplaces' employees to be audited and pays attention to the human factors by considering the preferences of the inspectors. The comparisons between the obtained optimal schedule and the implemented one that is produced manually show that the approach not only maintains the technical requirements of the problem, but also provides social and physical balance to the task assignment. Conclusion: Both the approach and the application study are expected to offer fruitful inspirations in the area of safety management and policy and they provide a good guide for social policy and organizational aspects in the field of OHS inspectors' task assignment.