• Title/Summary/Keyword: 대수 도입

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Elementary mathematically gifted students' understanding of Pi (초등수학 영재교육 대상자의 원주율 개념에 대한 이해)

  • Kang, Hyangim;Choi, Eunah
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.91-110
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    • 2015
  • The purpose of this study is to investigate the understanding of pi of elementary gifted students and explore improvement direction of teaching pi. The results of this study are as follows. First, students understood insufficiently the property of approximation, constancy and infinity of pi from the fixation on 'pi = 3.14'. They mixed pi up with the approximation of pi as well. Second, they had a inclination to understand pi as algebraic formula, circumference by diameter. Third, few students understood the property of constancy and infinity of pi deeply. Lastly, the discussion activity provided the chance of finding the idea of the property of approximation of pi. In conclusion, we proposed several methods which improve the teaching of pi at elementary school.

Instrumental Genesis of Computer Algebra System(CAS) in Mathematical Problem Solving among High School Students (고등학교 수학 문제해결에서 CAS의 도구발생)

  • Han, Se-Ho;Chang, Kyung-Yoon
    • School Mathematics
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    • v.11 no.3
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    • pp.527-546
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    • 2009
  • This study was designed to gain insights into instrumental genesis process of CAS in Korean high school students and to explore its practical potentials in secondary mathematics education. Two activities, such as Concept-Centered Mathematics Activity based on CAS and Problem Solving Activities, were constructed and executed to 10th Grade seven students for twelve class hours. The finding on the students' activities are as follows : it is meaningful in mathematics education, especially in algebra education, in that the CAS based concept centered mathematics activity offers great opportunities to deal with high-qualified application problems. The problem solving activities based on the instrumented CAS may have an influence on the sequence of mathematics curriculum, e.g. the optimization problems may precede the calculus problems such as derivatives in high school. The results of this study to investigate the instrumental genesis of CAS in mathematical activities will give insights into the secondary mathematics curriculum to prepare the CAS in Korea.

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Teaching Proportional Reasoning in Elementary School Mathematics (초등학교에서 비례 추론 지도에 관한 논의)

  • Chong, Yeong Ok
    • Journal of Educational Research in Mathematics
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    • v.25 no.1
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    • pp.21-58
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    • 2015
  • The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.

Simulation analysis of AGV introduction in the convenience store logistics distribution centers (편의점 유통물류센터의 AGV 도입에 대한 시뮬레이션 분석)

  • Kim, Jeonghoon;Kim, Younjin;Lee, Hongchul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.6
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    • pp.61-69
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    • 2016
  • Since 2000, the market of convenient stores in Korea has developed rapidly due to the explosive growth in single households but it still consists mainly of manual work due to the nature of the domestic industry. Hence the explosive increase in demand in the market is mostly due to workers. Therefore, the research aimed at encouraging efficiency via automation, which is carried out in manufacturing, such as electronic, cars and so on, is inadequate. This study performed a feasibility analysis of investment for introducing an automated system on brand A, which is domestic famous convenience store company. Productivity growth according to the introduction of an automated guided vehicle and the cost-benefits was studied with using a simulation for the picking process, which is most personnel and time consuming. As a result, the simulation showed that the equipment AGV introduced for choosing the process has the effects of cost saving and increased time efficiency for performing manual labor. Furthermore, appropriate numbers of AGV were forecasted considering the capacity of the distribution Center in the brand A convenient store, which has been growing steadily. There are increasing numbers of worker labor costs in the distribution industry these days. Before building a large new automate center, it is expected to provide a good information to investors who are considering increasing productivity through partial automation of each of unit process to achieve some cost reduction.

The Haar Function Approach for the Unknown Input Observer Design (미지입력 관측기 설계를 위한 하알함수 접근법)

  • 김진태;이한석;임윤식;김종부;이명규
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.3
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    • pp.117-126
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    • 2003
  • This paper proposes a real-time application of Walsh functions which is based on the on-line Walsh transformation and on-line Walsh function's differential operation. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of Walsh transformation to overcome this shortcoming. And the proposed method apply to the unknown inputs observer(UIO) design for linear time-invariant dynamical systems

Identification of Time-invariant Parameters of Distributed Systems via Extended Block Pulse Operational Matrices (확장된 블록 펄스 연산 행렬을 이용한 분포정수계의 시불변 파라미터 추정)

  • Kim, Tae-Hoon;Lee, Seung;Kim, Jong-Boo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.82-88
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    • 2001
  • This paper considers the problem of the identification of the time invariant parameters of distributed systems. In general, the parameters are identified by using the CBPOM(Conventional Block Pulse Operational Matrices), but in this paper, the parameters ard identified by using the EBPOMS(Extended Block Pulse Operational Matrices) which can reduce the burden of operation md the volume of error caused by matrices multiplication. The simulation cloves the effectiveness of the proposed method.

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Generalization and Symbol Expression through Pattern Research - Focusing on Pictorial/Geometric Pattern - (패턴탐구를 통한 일반화와 기호표현 -시각적 패턴을 중심으로-)

  • Kang, Hyun-Yyoung
    • School Mathematics
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    • v.9 no.2
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    • pp.313-326
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    • 2007
  • Recently in algebra curriculum, to recognizes and explains general nile expressing patterns is presented as the one alternative and is emphasized. In the seventh School Mathematic Curriculum regarding 'regularity and function' area, in elementary school curriculum, is guiding pattern activity of various form. But difficulty and problem of students are pointing in study for learning through pattern activity. In this article, emphasizes generalization process through research activity of pictorial/geometric pattern that is introduced much on elementary school mathematic curriculum and investigates various approach and strategy of student's thinking, state of symbolization in generalization process of pictorial/geometric pattern. And discusses generalization of pictorial/geometric pattern, difficulty of symbolization and suggested several proposals for research activity of pictorial/geometric pattern.

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Numerical Analysis of Nonlinear Thermoelastic Stress for Rectangular Thin Plate (사각형 박판의 비선형 열탄성 응력 수치해석)

  • Kim Chi-Kyung;Kim Sung-Jung
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.155-160
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    • 2004
  • A simply supported rectangular thin plate with temperature distribution varying over the thickness is analyzed. Since the thermal deflections are large compared to the plate thickness during bending and membrane stresses are developed md as such a nonlinear stress analysis is necessary. For the geometrically nonlinear, large deflection behavior of the plate, the classical von Karman equations are used. These equations are solved numerically by using the finite difference method. An iterative technique is employed to solve these quasi-linear algebraic equations. The results obtained from the suggested method are presented and discussed.

Panoramic Image Reconstruction using Forward Warping and Bilinear Interpolation Method (Forward Warping과 양선형 보간법을 이용한 파노라마 영상 재구성)

  • Park, Chang-Hil;Shin, Sung-Min;Woo, Young-Woon;Kim, Kwang-Beak
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.05a
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    • pp.65-68
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    • 2011
  • 도시의 방범 대책의 일환으로 거리감시 카메라의 설치가 진행되고 있다. 이때 가능하면 넓은 범위를 포함하고, 사각을 없애기 위해 다수의 카메라가 필요하기 때문에 기기 도입에 많은 비용이 발생하게 된다. 또한 카메라에 모터를 장착하여, 상하 좌우로 움직이는 기계적인 장치를 추가하여, 기기의 대수를 줄이는 경우에도 많은 유지 보수비용이 필요하다. 그러나 360도를 관찰할 수 있는 어안렌즈 카메라를 이용하면 다수의 카메라 대신 한 대의 카메라로 대응할 수 있어 유지보수 비용을 절약할 수 있다. 그러나 어안 렌즈를 이용할 경우에는 영상이 굴절되어 보이기 때문에 감시 카메라용 렌즈로써는 부적합하다. 따라서 본 논문에서는 굴곡 되어 있는 영상의 개선을 위하여 Forward Warping을 이용하여 파노라마 영상으로 변환하고 파노라마 영상으로 변환 중에 손실되는 영상 정보를 복원하기 위하여 양선형 보간법을 적용하여 개선된 파노라마 영상을 얻을 수 있는 방법을 제안한다. 본 논문에서 제안한 어안 렌즈 영상 재구성 방법의 성능을 평가하기 위하여 다양한 어안 렌즈 영상을 대상으로 실험한 결과, 기존의 방법보다 영상을 재구성하는데 효과적인 것을 확인하였다.

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Dynamics Analysis for Flexible Systems using Finite Elements and Algebraic Quaternions (4원법과 유한요소를 이용한 유연체 동역학의 해석기법)

  • Lee, Dong-Hyun;Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.141-149
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    • 2005
  • This paper deals with formulations of the energy equilibrium equation by an introduction of the algebraic description, quarternion, which meets conservations of system energy for the equation of motion. Then the equation is discretized to analyze the dynamits analysis of flexible multibody systems in such a way that the work done by the constrained force completely is eliminated. Meanwhile, Rodrigues parameters we used to express the finite rotation lot the proposed method. This method lot the initial essential step to a guarantee of developments of the 3D dynamical problem provides unconditionally stable conditions for the nonlinear problems through the numerical examples.