• Title/Summary/Keyword: the meaning of operation

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An Analysis on the Elementary Preservice Mathematics Teachers′ Representation about Fraction (초등수학 예비교사들의 분수에 대한 표상의 분석)

  • 이대현;서관석
    • Education of Primary School Mathematics
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    • v.7 no.1
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    • pp.31-41
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    • 2003
  • Representation has been main topic in teaching and learning mathematics for a long time. Moreover, teachers' deficiency of representation about fraction results in teaching algorithms without conceptual understanding. So, this paper was conducted to investigate and analysize the elementary preservice mathematics teachers' representation about fraction. 38 elementary preservice mathematics teachers participated in this study. This study results showed that, the only model of a fraction that was familiar to the preservice teachers was the part of whole one. And research showed that, they solved the problems about fraction well using algorithms but seldom express the sentence which illustrates the meaning of the operation by a fraction. Specially, the division aspect of a fraction was not familiar nor readily accepted. It menas that preservice teachers are used to using algorithms without a conceptual understanding of the meaning of the operation by a fraction. This results give us some implications. Most of all, teaching programs in preservice mathematics teachers education have to devise to form a network among the concepts in relation to fraction. And we must emphasize how to teach and what to teach in preservice mathematics teachers education course. Finally, we have to invent the various materials which can be used to educate both preservice teachers and elementary school students. If we want to improve the mathematical ability of students, we will concentrate preservice teachers education.

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A Study on Understanding of Fraction Division of Elementary Mathematical Gifted Students (초등수학영재의 분수 나눗셈의 이해에 관한 연구)

  • Kim, Young A;Kim, Dong Hwa;Noh, Ji Hwa
    • East Asian mathematical journal
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    • v.32 no.4
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    • pp.565-587
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    • 2016
  • The purpose of this study was to analyze the understanding of the meaning of fraction division and fraction division algorithm of elementary mathematical gifted students through the process of problem posing and solving activities. For this goal, students were asked to pose more than two real-world problems with respect to the fraction division of ${\frac{3}{4}}{\div}{\frac{2}{3}}$, and to explain the validity of the operation ${\frac{3}{4}}{\div}{\frac{2}{3}}={\frac{3}{4}}{\times}{\frac{3}{2}}$ in the process of solving the posed problems. As the results, although the gifted students posed more word problems in the 'inverse of multiplication' and 'inverse of a cartesian product' situations compared to the general students and pre-service elementary teachers in the previous researches, most of them also preferred to understanding the meaning of fractional division in the 'measurement division' situation. Handling the fractional division by converting it into the division of natural numbers through reduction to a common denominator in the 'measurement division', they showed the poor understanding of the meaning of multiplication by the reciprocal of divisor in the fraction division algorithm. So we suggest following: First, instruction on fraction division based on various problem situations is necessary. Second, eliciting fractional division algorithm in partitive division situation is strongly recommended for helping students understand the meaning of the reciprocal of divisor. Third, it is necessary to incorporate real-world problem posing tasks into elementary mathematics classroom for fostering mathematical creativity as well as problem solving ability.

A Study on the Expressional characteristics of Geometrical Design in the Deconstructive and Experimental Architects (해체 및 실험적 건축가들의 기하학적 디자인 표현 특성에 관한 연구)

  • 황태주
    • Korean Institute of Interior Design Journal
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    • no.11
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    • pp.57-63
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    • 1997
  • In the early 20'c, scientific thoughts make a change the absolute and separate concept of space-time into relative concept of continual entity; a kind of ideal world. It suggests that the meaning of geometry as absolute truth with which has endowed human beings would changed to a relative meaning of accumulation in intellectual work on 'nature'. This cognitive changes appeared into absolute arts in 20'c like Cubism, Superematism or Constructivism. De Stijl movement which had recepted the relative concepts like Einstein's 'theory of relativity' as a developed thought from Newton-Cartesian cognition on the world. Abstration would be adequate method for expressing the dynamics and interrelationship between forms and for giving values to indivisual elements in a compositiov. This method had appeared Modern architectural form, as a common framework. The expression characteristics of geometrical design in Deconstructive and Experimental architecture were summerized in four features through the results of the analysis. First, the relation of architectural element and intertextuality is expressed in discontinuation of context and refusal of functional building. Second, the concept of trace expresses as connection of place, decomposing of excavation of trace, trace of axis, trace of fragments. Third, anti-gravity expression is there to express of open cubic, to outgrow of rectangular system, to outgrow of volume, to separate of ground connectiov. Fourth, the complex composition of abstracted geometric form is these to abstracted geometry about indefinite shape, to layer through the overlap and collage, to de-meaning and amusement of form through the pursuit of uncertainty, to indeterminate of formal meaning through operation and composition of similar form cause to the diverse of meaning.

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The Relationship Between Perception of the Meaning of Work and Turnover Intention: Moderating Effect of Work-Family Facilitation (일에 대한 의미 인식과 이직의도 간의 관계: 일-가정 촉진의 조절효과)

  • Cha, Yunsuk
    • The Journal of the Korea Contents Association
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    • v.22 no.5
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    • pp.223-234
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    • 2022
  • This study demonstrated the relationship between members' perception of meaning of work and turnover intention and analyzed the moderating effect of work-family promotion efforts. To this end, data were obtained through a survey of 143 SME workers in Busan, and the results were used for analysis. As a result of the study, first, it was possible to confirm a negative (-) relationship with turnover intention when members in the organization positively perceived the meaning and value of their work. In addition, it was confirmed that efforts to promote work-family within the organization showed a moderating effect in this process. Based on these results, the following implications were derived. First, SMEs operate somewhat insufficient treatment and welfare systems compared to large companies, so they should pay more attention to the design and operation of various personnel systems so that they can recognize the organization's growth potential and technical advantage and meaning of work. In particular, in the case of rapidly growing SMEs, institutional support for work-family promotion may be insufficient, and the importance of introducing and operating a system to further revitalize it was suggested.

An Analysis of Operation Sense in Division of Fraction Based on Case Study (사례 연구를 통한 분수 나눈셈의 연산 감각 분석)

  • Pang, Jeong-Suk;Lee, Ji-Young
    • School Mathematics
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    • v.11 no.1
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    • pp.71-91
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    • 2009
  • The purpose of this study was to analyze operation sense in detail with regard to division of fraction. For this purpose, two sixth grade students who were good at calculation were clinically interviewed three times. The analysis was focused on (a) how the students would understand the multiple meanings and models of division of fraction, (b) how they would recognize the meaning of algorithm related to division of fraction, and (c) how they would employ the meanings and properties of operation in order to translate them into different modes of representation as well as to develop their own strategies. This paper includes several episodes which reveal students' qualitative difference in terms of various dimensions of operation sense. The need to develop operation sense is suggested specifically for upper grades of elementary school.

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An Contents Aanalysis of Number Sense for Elementary School Grade 1-2 (우리나라 초등학교 1-2학년 수학에서의 수 감각 지도 내용 분석)

  • Choi, Ji-Sun;Park, Kyo-Sik
    • Journal of Educational Research in Mathematics
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    • v.19 no.4
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    • pp.513-530
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    • 2009
  • In this paper, We analyse the contents of the national mathematical curriculum, the handbook of the curriculum, and elementary school mathematics textbook for the elementary school grade 1-2 focusing on 'number sense'. At first, we identify the meaning and the elements of number sense through analysing studies which are related to number sense. Number sense includes understanding the meaning of number, operation, and estimation, and the ability of applying numbers, operation and estimation on the context. Number sense consists of the elements of the contents and the elements of the processes. Secondly, with the elements of number sense which we have identified, we analyse the contents of the national mathematical curriculum, the handbook of the curriculum, and elementary school mathematics textbooks, and then criticize the contents. We find some problems as a result of the analysis : the range of number sense is unclear, the word 'number sense' is not used consistently, the elements used are limited, and the contents of the textbook are materialized inconsistently and poorly.

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Impacts of Psychosocial Work Environment on Nurses' Job Satisfaction Based on the Type of Hospital Departments (종합병원 간호사의 부서별 사회심리적 업무환경이 직무만족에 미치는 영향)

  • Won, Hyo-Jin
    • The Korean Journal of Health Service Management
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    • v.12 no.1
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    • pp.47-56
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    • 2018
  • Objectives : The purpose of this study was to compare the characteristics of nursing work environments based on department type and to investigate the relationship between work environment and job satisfaction. Methods : The participants were 420 nurses from the ward, emergency room, intensive care unit, and operation room. The data were analyzed by descriptive statistics, ANOVA, Scheffe's test, and multiple regression test using the SPSS Win. 18.0 program. Results : The results were as follows: There was a significant difference in possibilities for development, meaning of work, recognition(reward), role clarity, and social community at work based on department type. The factors that influenced job satisfaction were influence, meaning of work, recognition(reward), role conflicts, and quality of leadership and these differed based on department type. Conclusions : The results of this study indicate that nursing work environments vary based on the type of hospital department. Therefore, it is necessary to develop diverse strategies for human resource management considering the type of department.

Theory of Coagulation(II) -The (Relative) Insignificance of G in Flocculation- (응집의 이론(II) -플록형성에서의 G값의 의의-)

  • Han, Moo Young
    • Journal of Korean Society of Water and Wastewater
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    • v.9 no.4
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    • pp.63-72
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    • 1995
  • The mean velocity gradient, G, has been used as a principal design and operation parameter for flocculation unit. This paper questions that significance. The physical and qualitative meaning of collision efficiency factors of each transport mechanism (Brownian motion, fluid shear, and differential sedimentation) are reviewed. The overall collision frequency function is calculated by summing up the collision frequency function of each mechanism. In the collision of two particles of different size, a diagram showing the dominant region in which each mechanism is important is developed and the meaning of the diagram is discussed. The primary ramification of this curvilinear, heterodisperse approach is that G is found to be not nearly so important. Previous experimental work in which the role of G has been examined is reviewed in light of this finding.

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A study of traditional marriagc ceremony as Shown in Chu-Ja's "Ka-ryae"(I) (주자[家禮]와 그에 나타난 혼예에 대한 고찰(I))

  • 이길표
    • Journal of the Korean Home Economics Association
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    • v.36 no.3
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    • pp.77-86
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    • 1998
  • The aims of this study show the purpose of writing[Ka-ryae] and its transmission and operation from the end of Koryo to Chosun dynasty. And Studying of a traditional marriage ceremony as shown in [Ka-ryae], We intend to find a mental meaning and value in it. The major findings this study are as follows. 1. Though [Ka-ryae] was written by Chu-Ja who lived in the period of South-Song of China, it had greatly influenced the thought, system and life of Korean society from the end of Koryo to Chosun dynasty. 2. Studying the content of [Ka-ryae], we learned the respect, discretion and reghtness as the mental meaning and value of a marriage ceremony.

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A Study on the Environmental Design Model through the Semiotic Approach to the Symbolic Aesthetics - Focusing on the Ecological Theory of Perception - (상징미학의 기호학적 접근방법에 의한 환경디자인 모형사례 연구 - 생태학적 지각이론을 중심으로 -)

  • 최정아
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 1999.04a
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    • pp.61-64
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    • 1999
  • Environmental design should be based on the positive theory, a researcher structured symbolic aesthetics on the basis of positive perception theory. Symbolic aesthetics by ecological theory of perception, human preference is related to existence and the formation of place-identity and cognitive map is dealt importantly in this study. Symbolic aesthetics is a study on environmental meaning and a researcher understood the operation of environmental meaning by regarding symbology as a methodological frame and defined architecture as a visual language system after discussing the importance of signified.

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