• Title/Summary/Keyword: 구성법칙

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A study on the pre-service teacher's recognition and fallacy for a number with irrational exponent (무리 지수를 갖는 수에 대한 예비교사들의 인식과 오류)

  • Lee, Heon-Soo;Park, Hyung-Bin;Bea, Kang-Soo
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.323-339
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    • 2011
  • The expansion of exponential law as the law of calculation of integer numbers can be a good material for the students to experience an extended configuration which is based on an algebraic principle of the performance of equivalent forms. While current textbooks described that exponential law can be expanded from natural number to integer, rational number and real number, most teachers force students to accept intuitively that the exponential law is valid although exponent is expanded into real number. However most teachers overlook explaining the value of exponent of rational number or exponent of irrational number so most students have a lot of questions whether this value is a rational number or a irrational number. Related to students' questions, most teacher said that it is out of the current curriculum and students will learn it after going to college instead of detailed answers. In this paper, we will present several examples and the values about irrational exponents of a positive rational and irrational exponents of a positive irrational number, and study the recognition and fallacy of would-be teachers about the cases of irrational exponents of a positive rational and irrational exponents of a positive irrational number at the expansion of exponential law.

A Study on Management and Improvement of School Libraries with Viewpoint of Five Laws of Library Science: Focused on D Elementary School Library in Busan (도서관학 5법칙으로 본 학교도서관 운영과 개선방안 - 부산 D초등학교 도서관을 사례로 하여 -)

  • Lee, Hyeonsook;Lee, Yong-Jae
    • Journal of Korean Library and Information Science Society
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    • v.53 no.1
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    • pp.171-190
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    • 2022
  • This study aims to examine the current status of managing elementary school libraries in Busan and suggest the ways to improve it with the viewpoint of 'the five laws of library science'. The scope of study was set as the elementary school libraries in Busan, and the operation status of 304 elementary school libraries was analyzed. And for in-depth investigation, D elementary school library was examined as a case. The operation status of elementary school libraries in Busan was analyzed with the analysis elements; existence of school library, placement of teacher librarian, library collection, annual use, budget, and library seats for 6 years from 2016 to 2021. As a result, especially the placement rate of full-time teacher librarians was only 10.5%, indicating that the problem of manpower shortage was serious. As case study, the current state of managing D elementary school library was deeply investigated with perspectives of the first law and the third law of library science among Ranganathan's five laws of library science. With the first law, the investigation was divided into the aspects of open-shelf system, library location, library hours, furniture, and staff. With the third law, the investigation was done as the aspects of shelf arrangement, catalog, extended service, book selection. Especially, books with more than 50 copies for the program of reading one book each semester accounted for 4.8% of the total collection, showing the problem of unbalanced collection. As the result of this study, 'expanding the placement of teacher librarians', 'making better reading environment through remodeling', and 'balanced collection development' were suggested as the ways of developing school libraries.

A Study on Management and Improvement of P University Libraries with Viewpoint of Five Laws of Library Science: Focused on the first law and the fifth law (도서관학 5법칙으로 본 P대학도서관 운영과 개선방안)

  • Sun-Gu Jeon;Yong-Jae Lee
    • Journal of Korean Library and Information Science Society
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    • v.54 no.3
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    • pp.57-80
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    • 2023
  • The purpose of this study is to examine the current status of university library operation through the five laws of library science and suggest ways to improve it. To this end, the operation status of four national and public university libraries was analyzed with the scope of the study as the Busan area. Furthermore, for an in-depth investigation, the P University library in Busan was examined as a case. The operation status of national and public university libraries in the Busan region was analyzed by dividing them into the categories of university library collection materials, facilities, staff, material purchase costs, and users from 2018 to 2022. In particular, there was a decrease in users and a shortage of librarians due to COVID-19. In the case study, the operation status of P University library was investigated focusing on the first and fifth laws of Ranganathan's five laws of library science. In the first law, the study was conducted on the aspects of access to and use of the collection, library location, usage time and book lending, and staff. In the fifth law, the investigation was divided into service improvement aspects according to changes in digital technology of P University library and library environment improvement aspects according to changes in user characteristics. As a result of the study, 'establishment of library space composition strategy', 'establishment of blue ocean strategy', and 'expansion of recruitment and deployment of librarians' were suggested as improvement plans.

An Integration Type Adaptive Compensator for a Class of Linearly Parameterized Systems (선형 파라미터화된 시스템에 대한 적분형 적응보상기)

  • Yoo Byung-Kook;Yang Keun-Ho
    • Journal of the Institute of Convergence Signal Processing
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    • v.6 no.2
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    • pp.82-88
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    • 2005
  • A compensation scheme for a class of linearly parameterized systems is presented. The compensator consists of a typical linearizing control and an adaptive observer with integration type update law, which is based on Speed Gradient (SG) algorithm.. Instead of the intermediate functions of the compensation schemes suggested by other researchers, the proposed compensator is designed with some design functions which guarantee the growth, convexity, attainability, and pseudo gradient conditions in the update law. The scheme achieves the asymptotic stability of the tracking error and the boundedness of the estimation errors. A numerical example is given to demonstrate the validity of the proposed design.

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Numerical Analysis of Flow Interference at Discontinuity Junction of fracture Network (단열교차점에서 유체간섭에 관한 수치적 고찰)

  • 박영진;이강근;이승구
    • Journal of the Korean Society of Groundwater Environment
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    • v.4 no.3
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    • pp.111-115
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    • 1997
  • Discrete fracture model has become one of the alternatives for the classical continuum model to simulate the irregular aspects of the fluid flow and the solute transport in fractured rocks. It is based on the assumptions that the discharge in a single fracture is proportional to the cube of the aperture and the fractured rock can be represented by the statistical assemblage of such single fractures. This study is intended to evaluate the effect of the fracture junction on the cubic law. Numerical solution of flow in junction system was obtained by using the Boundary-Fitted Coordinate System (BFCS) method. Results with different intersection angles in crossing fractures show that the geometry of the junction affects the discharge pattern under the same simulation conditions. Therefore, strict numerical and experimental examinations on this subject are required.

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3-D Concrete Model Using Non-associated Flow Rule in Dilatant-Softening Region of Multi-axial Stress State (3차원 솔리드요소 및 비상관 소성흐름 법칙을 이용한 콘크리트의 응력해석)

  • Seong, Dae Jeong;Choi, Jung Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.12 no.2
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    • pp.193-200
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    • 2008
  • Cohesive and frictional materials such as concrete and soil are pressure dependent. In general, failure criterion for such materials inclined with respect to positive hydrostatic axis in Haigh-Westergaard stress space. Consequently, inelastic volumetric strain always positive with associated flow rule. In this study, to overcome this shortcoming, non-associated flow rule which controls volumetric component of plastic flow is adopted. Numerical analysis based on a constitutive model using nonuniform hardening plasticity with five parameter failure criterion and non-associated flow rule has conducted to predict concrete behavior under multi-axial stress state and verified with experimental result.

Observation of Geometrical Waves by Solid Elastic Cylinders at Large K-A (Ka 가 큰 원통에서의 Geometrical wave 관찰)

  • 노희설
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1985.10a
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    • pp.19-22
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    • 1985
  • 철(Iron)을 재질로한 ka가 큰 원통에서의 산란파를 측정 분석하였다. ka가 클 경우 산란파는 주로 Geometrical wave에 의해 구성되며, 이 Geometrical wave는 기하광학의 법칙을 따르게 된다. 본 연구에서는 각 mode의 Geometrical wave에 대하여 송.수신 위치에 따른 이론적인 펄스 도달 시간과 측정 분석된 도달시간을 비교하여 Geometrical wave를 관찰하였다.

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Commutative Property of Multiplication as a priori Knowledge (선험적 지식으로서 곱셈의 교환법칙 교육의 문제)

  • Yim, Jaehoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.1-17
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    • 2014
  • Instructions for the commutative property of multiplication at elementary schools tend to be based on checking the equality between the quantities of 'a times b 'and b' times a, ' for example, $3{\times}4=12$ and $4{\times}3=12$. This article critically examined the approaches to teach the commutative property of multiplication from Kant's perspective of mathematical knowledge. According to Kant, mathematical knowledge is a priori. Yet, the numeric exploration by checking the equality between the amounts of 'a groups of b' and 'b groups of a' does not reflect the nature of apriority of mathematical knowledge. I suggest we teach the commutative property of multiplication in a way that it helps reveal the operational schema that is necessarily and generally involved in the transformation from the structure of 'a times b' to the structure of 'b times a.' Distributive reasoning is the mental operation that enables children to perform the structural transformation for the commutative property of multiplication by distributing a unit of one quantity across the other quantity. For example, 3 times 4 is transformed into 4 times 3 by distributing each unit of the quantity 3, which results in $3{\times}4=(1+1+1){\times}4=(1{\times}4)+(1{\times}4)+(1{\times}4)+(1{\times}4)=4+4+4=4{\times}3$. It is argued that the distributive reasoning is also critical in learning the subsequent mathematics concepts, such as (a whole number)${\times}10$ or 100 and fraction concept and fraction multiplication.

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The Political Economy of the Phenomenon on Convergence of Broadcasting and Telecommunication: Centering around the Law of the Tendential Fall in the Rate of Profit (방송통신융합 현상의 정치경제학적 고찰: '이윤율의 경향적 하락의 법칙'을 중심으로)

  • Kim, Dong-Min
    • Korean journal of communication and information
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    • v.34
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    • pp.7-33
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    • 2006
  • This paper try to explain the phenomenon on convergence of broadcasting and telecommunication by the law of the tendential fall in the rate of profit. With the progressive decline in the variable capital in relation to the constant capital in the sphere of the telecommunication, this tendency leads to a rising organic composition of the total capital, and the direct result of this is that the rate of surplus-value, with the level of exploitation of labour remaining the same or even rising, is expressed in a steadily falling general rate of profit. The reason to apply this law is to inquire into the true state of the phenomenon on convergence of broadcasting and telecommunication showed like the disorderly development.

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The Effects of the Abduction Viewpoint on Science Teachers' Thoughts Related to Hypotheses and Laws in Ninth Grade 'Construction of Matter' and 'Rules of Matter Change' Chapters (중학교 3학년 '물질의 구성' 및 '물질 변화에서의 규칙성' 단원의 가설과 법칙에 대한 귀추적 관점이 과학 교사들의 사고에 미치는 영향)

  • Kim, Jun-Ye;Paik, Seoung-Hey
    • Journal of The Korean Association For Science Education
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    • v.29 no.1
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    • pp.10-21
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    • 2009
  • The purpose of this research was to investigate science teachers' thoughts about hypotheses and rules related to the contents of ninth grade 'Construction of Matter' and 'Rules of Matter Change' chapters. The changes of their thoughts through experience of the abduction viewpoint were also analyzed. Twenty-two science teachers in the masters course took lessons and discussions related to the abduction viewpoint in the course of three weeks. The changes in thought of four teachers selected among them were investigated through individual interviews and their reports. From the investigation, it was found that the two teachers who had not recognized the problems of textbook content order could distinguish rules and hypotheses after the lessons and discussions. The two teachers who had recognized the problems before the lessons gained the abduction viewpoint through the lessons. They also recognized new opinions related to teaching styles for students and the meaning of the abduction viewpoint on education.