• Title/Summary/Keyword: relation definition

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A Note on Dealing with Some Contents of Geometry in the Middle School Mathematics (중학교 수학에서 기하 내용 취급에 관한 연구)

  • 김흥기
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.111-127
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    • 2004
  • In this note we examined some terms, parallel lines and angles in elementary school mathematics and middle school mathematics respectively. Since some terms are represented early in elementary school mathematics and not repeated after, some students are not easy to apply the terms to their lesson. Also, since the relation between parallel lines and angles are treated intuitively in 7-th grade, applying the relation for a proof in 8-th grade would be meaningless. For the variety of mathematics education, it is desirable that the relation between parallel lines and angles are treated as postulate. Also, for out standing students, it is desirable that we use deductive reasoning to prove the relation between parallel lines and angles as a theorem. In particular, the treatments of vertical angles and the relation between parallel lines and angles in 7-th grade text books must be reconsidered. Proof is very important in mathematics, and the deductive reasoning is necessary for proof. It would be efficient if some properties such as congruence of vertical angles and the relation between parallel lines and angles are dealt in 8-th grade for proof.

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Teaching and Learning Concepts of Tangent in School Mathematics (학교 수학에서 접선 개념 교수 방안 연구)

  • 임재훈;박교식
    • Journal of Educational Research in Mathematics
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    • v.14 no.2
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    • pp.171-185
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    • 2004
  • Students are exposed to a concept of tangent from a specific context of the relation between a circle and straight lines at the 7th grade. This initial experience might cause epistemological obstacles regarding learning concepts of tangent to additional curves. The paper provides a method of how to introduce a series of concepts of tangent in order to lead students to revise and improve the concept of tangent which they have. As students have chance to reflect and revise a series of concepts of tangent step by step, they realize the facts that the properties such as 'meeting the curve at one point' and 'touching but not cutting the curve' may be regarded as the proper definition of tangent in some limited contexts but are not essential in more general contexts. And finally students can grasp and appreciate that concept of tangent as the limit of secants and the relation between tangent and derivative.

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A Study on the Teaching-Learning of Parameter Concept (매개변수 개념의 교수-학습에 관한 연구)

  • 김남희
    • Journal of Educational Research in Mathematics
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    • v.14 no.3
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    • pp.305-325
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    • 2004
  • This study is on the teaching-learning of parameter concept in secondary school mathematics. In our school mathematics curriculum, parameter concept is explicitly presented at high school mathematics textbook. But student have difficulty in understanding parameter concept because this concept is implicitly used in the textbook from 7-grade mathematics. Moreover, it is true that mathematics teacher give a little attention to student's understanding of parameter con- cept. In this study, we analyzed concept definition of parameter and the extension of parameter on the basis of preceding research, our mathematical curriculum, mathematical dictionaries. After that, we concluded that parameter is explicitly called in t where x= f(t), y= g(t) and parameter is implicitly treated in the learning of relation between quantities in our mathematical curriculum. We pointed to the importance of parameter concept in the successful learning of school algebra. Specially, when the level of algebra is in the learning of relation between quantities, parameter is the key concept for understanding and representing of families of equations or functions. In mathematics class, students have opportunity to reflect that what the role of each variable(parameter, dependent variable, independent variable etc.) is, and where the information which determines it comes from. It is for mathematical communications as well as learning school algebra. Therefore, mathematics teacher's didactical attention is more needed to student have a good concept image of parameter before they learn explicitly its concept definition.

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Analysis on Definitions of Continuity Conveyed by School Mathematics and Academic Mathematics (학교수학과 학문수학에서의 연속성 개념 정의의 분석)

  • Kim, Jin Hwan;Park, Kyo Sik
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.375-389
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    • 2017
  • The purpose of this study is to analyze the difference and inter-connectivity between the definition of continuity in school mathematics and the definition of academic mathematics in four perspectives. These difference and inter-connectivity have not analyzed in previous papers. According to this study, the definition of 'continuity and discontinuity at one point' in school mathematics depends on the limit processing but in academic mathematics it depends on the topology of the domain. The target function of the continuous function in school mathematics is a function whose domain is limited to an interval or a union of intervals, but the target function of the continuous function in academic mathematics is all functions. Based on these results, the following two opinions are given in relation to the concept of continuity in school mathematics. First, since the notion of local continuity in school mathematics is based on limit processing, the contents of 2009-revised textbooks that deal with discontinuity at special point not belonging to the domain is appropriate. Here the discontinuity appears as types of infinite discontinuity, removable discontinuity, and step discontinuity. Second, the definition of a general continuous function is proposed to "if there is no discontinuity point in the domain of a function y = f(x), we call the function f a continuous function." This definition allows the discontinuity at special point in non-domain, but is consistent with the definition in academic mathematics.

Poultry Meat Quality in Relation to Muscle Growth and Muscle Fiber Characteristics

  • Ismail, Ishamri;Joo, Seon-Tea
    • Food Science of Animal Resources
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    • v.37 no.6
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    • pp.873-883
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    • 2017
  • Variations in the definition of poultry meat quality exist because the quality traits are not solely based on intrinsic and extrinsic factors but also consumers' preference. Appearance quality traits (AQT), eating quality traits (EQT), and reliance quality traits (RQT) are the major factors focused by the consumer before buying good quality of poultry meat. AQT and EQT of poultry meat are controlled by physical and biochemical characteristics of muscle fibers which can be categorized into a total number of fibers (TNF), cross-sectional area of fibers (CSAF), and fiber type composition (FTC). In poultry meat, it has been shown that muscle fiber properties play a key role in meat quality because numerous studies have reported the relationships between quality traits and fiber characteristics. Despite intensive research has been carried out to manipulate the muscle fiber to improve poultry meat quality, demand in a rapid growth of poultry muscle has correlated to the deterioration in the meat quality. The present paper reviews the definition of poultry meat quality, meat quality traits, and variations of meat quality. Also, this review presents recent knowledge underlying the relationship between poultry meat quality traits and muscle fiber characteristics.

A Study on Spacial Characteristic features in Digital Game (디지털 게임의 공간 표현 특성에 관한 연구)

  • 황용섭;김주연
    • Korean Institute of Interior Design Journal
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    • no.33
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    • pp.3-10
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    • 2002
  • Virtual reality is not a new concept but just a new word and also it isnt limited to the reality created by computer-assisted image composition. Furthermore, we have lived within the virtual reality since long time ago, and the newly emerging digital technology has made the limits of the virtual expression vague and the definition of space concept new, The magical experiences we have had within the digital space consisted of Virtual space are the philosophical subject which we can hardly explain as a simple dichotomous definition such as Virtuality or Reality. But its true that our experiences made within virtual space are felt as much newer space considering those of space design, which have been traditionally made in our physical territory. Digital game is the representative space that provides a new space. Therefore, the new concept in space will be not just the territory expansion of space but also the opportunity we can find a new possibility through the relation between human and space. At this point in time that the life territory is expanding as a new space, this research goal is to show the new possibility of the connection of human and digital space through studying the relationship of Human and Space, Space and Digital space and Human and Digital space as well as The peculiarity of the space which is expressed at Digital game, the most representative space providing new experiences.

The Study on the improvement of dynamic characteristics with multi-orifice in airspring (멀티 오리피스를 이용한 에어스프링 동특성 개선에 관한 연구)

  • 김인수;황성호;한문성;고철수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.97-103
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    • 2002
  • Vibration isolation technology using an air spring and laminated rubber bearing is widely used because it has excellent vibration isolation characteristics. In the part of that, we usually make use of the self-damped air suing. It is occupied two chambers, restrictor, diaphragm and load plate. Two chambers contain compressed air and the volume of chambers and the area of load plate give a definition of stiffness and load. The restrictor and the volume ratio of two chambers give a definition of damping ratio. The conventional model of restrictor is made of one orifice and it causes turbulent flow in the orifice at the region of large deflection. The stillness of air suing is larger and the damping is lower in the region of large deflection. In the multi-orifice case, the stiffness is similar to air spring with one orifice but damping ratio is larger than conventional air spring. And damping ratio is smaller than conventional air suing in small deflection region. Deflection is small in the region of high frequency so small damping is better than large damping. As a result, we can reduce the storage stiffness of air suing in the wide region of deflection and increase the damping ratio in the region of large deflection. After this, we will try to and the relation of Reynolds Number and Flow Resistance then we are going to make another restrictor for air spring to improve damping ratio and stiffness.

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A Critical Analysis of the Introduction of Similarity in Korean Mathematics Textbooks (우리나라 수학 교과서의 닮음 도입 및 정의에 관한 비판적 논의)

  • Yim, Jae-Hoon;Park, Kyo-Sik
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.393-407
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    • 2009
  • In this article the definition of similarity and its introduction in Korean middle school textbooks based on the 7th national curriculum are analysed critically. As a result four suggestions are presented. First, on the consideration that the contents related with similarity has been removed in the elementary school curriculum, the meaning of 'constant rate' needs to be understood through the rich experience of drawing enlarged/reduced figures when similarity is introduced in middle school, Second, there are two different ways in enlargement/reduction of figures and in the definition of similarity. Teachers have to keep the limitations of the two ways in mind. Third, the activity of drawing similar figures in enlarged/reduced squared paper needs to be practiced. Last, on 'the relation of similarity' which is in the definition of similarity, it has to be examined whether 'similarity' should be presented in the documents of the national curriculum as a term.

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Relation between Climate Variability in Korea and Two Types of El Niño, and Their Sensitivity to Definition of Two Types of El Niño (두 가지 형태의 엘니뇨 정의에 따른 한반도 기후 상관성 분석)

  • Kim, Jin-Soo;Kug, Jong-Seong;Yeh, Sang-Wook;Kim, Hyun-Kyung;Park, E-Hyung
    • Atmosphere
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    • v.24 no.1
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    • pp.89-99
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    • 2014
  • Recently, several studies pointed out that there are distinct two types of El Ni$\tilde{n}$o events based on the spatial pattern of SST. Since the two types of El Ni$\tilde{n}$o have different impacts on global climate, it is quite important to identify the type to assess and predict the regional climate variability. So far, however, there are still many different definitions to identify the two types of El Ni$\tilde{n}$o from the different studies. In this study, we investigated a sensitivity of the impacts on climate variability over the Korean Peninsula corresponding to the definition of two-types of El Ni$\tilde{n}$o. After checking pre-existing definitions and other possible definition, it is suggested here that two different definitions exhibit relatively strong relationship between El Ni$\tilde{n}$o events and the Korean climate variables when two types of El Ni$\tilde{n}$o are separated. In addition to the Korean climate, the two types of El Ni$\tilde{n}$o show quite distinct global teleconnection patterns when the definitions are used.

A Descriptive Study on the Function of Emotion in the Context of Eyewitness Testimony (목격자 증언 맥락에서 정서의 기능에 관한 서술적 고찰)

  • Lee, Seungjin
    • Journal of the Korea Convergence Society
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    • v.13 no.5
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    • pp.267-278
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    • 2022
  • This paper was intended to examine the function of emotion that affects the accuracy of statements in the context of eyewitness testimony. The main emotion theories and concepts introduced in previous studies examining the relation between testimony accuracy and negative emotions were examined based on the characteristics of the research method. The results were presented in the order of emotion definition, emotion inducing method, and emotion measurement method. Specifically, the definition of emotion was described based on studies on negative emotions, arousal, stress, and mood. The emotion inducing method was mainly described based on images, virtual reality, and staged events designed by researchers, which have been mainly used in laboratories. Emotion measurement methods were described with respect to the self-report, behavioral checklist, and psychophysiology. In addition, the emotional approach for objective and scientific repeated verification, the importance of effective experimental design and appropriate scientific memory test, and the need for individual difference control were discussed. This paper reinterprets the contradictions shown by previous research by systematically structuring the function of emotion that affects the accuracy of testimony. It was meaningful to provide a frame for comparative analysis of related studies. Ultimately, it is expected that such knowledge will be used as basic documents for judging the reliability of eyewitness testimony in a legal context.