• Title/Summary/Keyword: levels of definition

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An Analysis of the Characteristics of Definitions and Exploration the Levels of Definitions in Mathematics Textbooks - In the Area of Geometry - (수학교과서에서 사용하는 정의의 특성 분석과 수준 탐색 - 기하 영역을 중심으로 -)

  • Cho, Young-Mi
    • School Mathematics
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    • v.4 no.1
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    • pp.15-27
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    • 2002
  • The purpose of this thesis is, through analysing the characteristics of the definitions in Korean school mathematics textbooks, to explore the levels of them. Definitions use din academic mathematics are rigorous. But they should be transformed into various types, which are presented in school mathematics textbooks, with didactical purposes. In this thesis we investigated such types of transformation. With the result of this investigation we tried to identify the levels of the definitions in school mathematics textbooks. We tried to construct, with consideration about methods of definition, frame for analysing the types of the definitions in school mathematics. Methods of definition are classified as connotative method, denotative method, and synonymous method. Especially we identified that connotative method contains logical definition, genetic definition, relational definition, operational definition, and axiomatic definition. With these analyses we made a frame for investigating the characteristics of the definitions in school mathematics textbooks. With this frame we identified concrete types of transformations of methods of definition. We tried to analyse this result with van Hieles' theory about let·els of geometry learning and the mathematical language levels described by Freudenthal, and identify the levels of definitions in school mathematics. We showed the levels of definitions in the geometry area of the Korean school mathematics.

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A Study on the Definitions Presented in School Mathematics (학교수학 교과서에서 사용하는 정의에 관한 연구)

  • 우정호;조영미
    • Journal of Educational Research in Mathematics
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    • v.11 no.2
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    • pp.363-384
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    • 2001
  • The purpose of this thesis is, through analysing the characteristics of the definitions in Korean school mathematics textbooks, to explore the levels of them and to make suggestions for definition - teaching as a mathematising activity, Definitions used in academic mathematics are rigorous. But they should be transformed into various types, which are presented in school mathematics textbooks, with didactical purposes. In this thesis we investigated such types of transformation. With the result of this investigation we tried to identify the levels of the definitions in school mathematics textbooks. And in school mathematics textbooks there are definitions which carry out special functions in mathematical contexts or situations. We can say that we understand those definitions, only if we also understand the functions of definitions in those contexts or situations. In this thesis we investigated the cases in school mathematics textbooks, when such functions of definition are accompanied. With the result of this investigation we tried to make suggestions for definition-teaching as an intellectual activity. To begin with we considered definition from two aspects, methods of definition and functions of definition. We tried to construct, with consideration about methods of definition, frame for analysing the types of the definitions in school mathematics and search for a method for definition-teaching through mathematization. Methods of definition are classified as connotative method, denotative method, and synonymous method. Especially we identified that connotative method contains logical definition, genetic definition, relational definition, operational definition, and axiomatic definition. Functions of definition are classified as, description-function, stipulation-function, discrimination-function, analysis-function, demonstration-function, improvement-function. With these analyses we made a frame for investigating the characteristics of the definitions in school mathematics textbooks. With this frame we identified concrete types of transformations of methods of definition. We tried to analyse this result with van Hieles' theory about levels of geometry learning and the mathematical language levels described by Freudenthal, and identify the levels of definitions in school mathematics. We showed the levels of definitions in the geometry area of the Korean school mathematics. And as a result of analysing functions of definition we found that functions of definition appear more often in geometry than in algebra or analysis and that improvement-function, demonstration-function appear regularly after demonstrative geometry while other functions appear before demonstrative geometry. Also, we found that generally speaking, the functions of definition are not explained adequately in school mathematics textbooks. So it is required that the textbook authors should be careful not to miss an opportunity for the functional understanding. And the mathematics teachers should be aware of the functions of definitions. As mentioned above, in this thesis we analysed definitions in school mathematics, identified various types of didactical transformations of definitions, and presented a basis for future researches on definition teaching in school mathematics.

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A Study on Teaching and Learning of the Limit Concept in High School (고등학교에서의 극한개념 교수.학습에 관한 연구)

  • 박임숙;김흥기
    • Journal of Educational Research in Mathematics
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    • v.12 no.4
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    • pp.557-579
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    • 2002
  • The purpose of this study is to find out the problems which are caused when the limit concept of sequences is learned through an intuitive definition and to suggest a way of solving those problems. Students in Korea study the limit concept of sequences through an intuitive definition. They fail to apply the intuitive definition properly to the problems and they are apt to have misconception even though the Intuitive definition is applied properly. To solve these problems, this study examined the develop- mental process of the limit concept of sequences from the Intuitive definition to the formal definition, and looked into the way of students' internalization of the process through a field study. In this study, the levels of the limit concept of sequences possessed by the students at ZPD are as follows; level 0 : Students understand the limit concept of sequences through the intuitive definition. level 1 : Students understand the limit concept of sequences as 'The difference between $\alpha$$_{n}$ and $\alpha$ approaches 0' rather than 'The sequence approaches $\alpha$ infinitely.' level 2 : Students understand the limit concept of sequences through the formal definition. The levels of students' limit concept development were analysed by those criteria. Almost of the students who studied the limit concept of sequences through the intuitive defition stayed at level 0, whereas almost of the students who studied through the formal definition stayed at level 1. Through the study, I found that it was difficult for the students to develop the higher level of understanding for themselves but the teachers and peers could help the students to progress to the higher level. Students' learning ability was one of major factors that make the students progress to the higher level of understanding as the concept was developed hierarchically from Level 0 to Level 2. If you want to see your students get to the higher level of understanding in the limit concept, you need to facilitate them to fully develop understanding in lower levels through enough experiences so that they can be promoted to the highest level.

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The Different Definition-Methods in School Geometry and the Diractical Implications (학교기하의 다양한 정의 방법과 그 교수학적 의의)

  • Kang, Heung-Gyu;Cho, Young-Mi
    • Journal of Educational Research in Mathematics
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    • v.12 no.1
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    • pp.95-108
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    • 2002
  • In this article we drew out five definition-methods in school geometry. They are called synonymous method, denotative method, analytic method. And we analyzed them theoretically. On our analysis we tried to identify the level of common sense and the level of science in definition of those two levels on the definition-methods of circle. While the definition-method in elementary school could be regarded as the level of common sense, that in middle school could be considered as the level of science. Finally, we made the following didactical comments. Definitions in school mathematics might have the levels as regard to their roles. Thus, Mathematics teachers, curriculum developers, and text authors all need to recognize the subtle differences in the level of definition-methods.

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Researches on Fire in Traditional Chinese Medicine (중의학(中医学) "화(火)" 더변석(的辨析))

  • Li, Hai-Yu;Pan, Gui-Juan
    • Journal of Korean Medical classics
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    • v.22 no.4
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    • pp.255-259
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    • 2009
  • The origin of "Fire" in Traditional Chinese Medicine is summed up based on observation and knowledge of natural fire, followed by abstract thinking, of which the outcomes are best symbolized in the character Fire[火]. Because it is an abstract concept, it is hard to give a single and strict definition. Naturally, it would be necessary to analyze and illustrate the origin of 'Fire' from different angles such as broad definition, multi-definition, levels, classifications and effects. The concept of 'Fire' has four meanings in the aspect of the broad definition: first, natural fire; second, the physiological conception of fire; third, the medical conception of fire; fourth, general concept related to fire. In Traditional Chinese Medicine, fire mainly indicates physiologic fire, pathological fire, the fire in the six kinds of natural climate and the fire as one of the properties and the flavors of herbs.

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Quality 4.0: Concept, Elements, Level Evaluation and Deployment Direction (품질 4.0: 개념, 요소, 수준 평가와 전개 방향)

  • Seo, Hojin;Byun, Jai-Hyun;Kim, Dohyun
    • Journal of Korean Society for Quality Management
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    • v.49 no.4
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    • pp.447-466
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    • 2021
  • Purpose: This article aims 1) to propose Quality 4.0 concept through surveying related literature, 2) to suggest key elements of Quality 4.0 by arranging the elements of Quality 4.0 that appeared in the literature, 3) to determine the levels of Quality 4.0, and 4) to suggest ideas for effective deployment of Quality 4.0. Methods: Eleven papers or documents are reviewed for Quality 4.0 concept; two papers and one document are investigated for key element extraction of Quality 4.0; and smart factory roadmap and industry 4.0 maturity model are studied to determine the levels of Quality 4.0. Results: 1) Quality 4.0 definition is proposed. 2) Three key elements are determined: data acquisition and analytics, connection and integration, and leadership and culture. 3) Six Quality 4.0 levels are determined. 4) Some suggestions are addressed for effective deployment of Quality 4.0. Conclusion: 1) Definition, key elements, levels, and some suggestions on effective deployment of Quality 4.0 are addressed. 2) Specific contents of Quality 4.0 education and training courses should be provided in the future. 3) Two future research directions are proposed.

The Theoretical Concept and Structure of the Image (이미지의 이론적 개념 및 구조 - 의류학의 관점에서 -)

  • 김미영
    • Journal of the Korean Society of Costume
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    • v.31
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    • pp.223-236
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    • 1997
  • The purpose of this study is to set up the concept and the structure of 'the image' theoretically. The study is carried out by the literature research. The image is constituted of several concepts which are as followed: The concept of definition: perception cognition/impression. The concept of target: objective/per-son The concept of content: internal/exter-nal The concept of level :lower/upper Especially levels of image are divided into 3 different levels which are 'simple level' 'complex level 1' 'com-plex level 2' The concept of image is classified into the horizontal and the vertical structure. The concepts of the definition the target the con-tent are included in horizontal strcture and the concept of the level is included in the ver-tical structure.

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Research on Scene Features of Mixed Reality Game Based on Spatial Perception-Focused on "The Fragment" Case Study

  • Li, Wei;Cho, Dong-Min
    • Journal of Korea Multimedia Society
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    • v.24 no.4
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    • pp.601-609
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    • 2021
  • This article combines literature and empirical research based on space perception theory and the case study of mixed reality game "The Fragment." It is concluded that the mixed reality scene under space perception has a three-level visual definition. This definition carries out a corresponding level analysis of the scenes of the "The Fragment" game and draws up the constituent factors of the mixed reality game scene characteristics. Finally, through questionnaire data investigation and analysis, it is verified that the three factors of virtual reality coexistence, human-computer interaction, and local serviceability can better explain the characteristics of mixed reality game scenes. At the end of the study, it is concluded that the definition of three levels of visual hierarchy and the constituent factors of mixed reality game scenes can provide reference and help for other mixed-reality game designs and a brief description of future research plans.

Evaluation of pulse effect on frequency content of ground motions and definition of a new characteristic period

  • Yaghmaei-Sabegh, Saman
    • Earthquakes and Structures
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    • v.20 no.4
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    • pp.457-471
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    • 2021
  • This study aims at providing a simple and effective methodology to define a meaningful characteristic period for special class of earthquake records named "pulse-like ground motions". In the proposed method, continuous wavelet transform is employed to extract the large pulse of ground motions. Then, Fourier amplitude spectra obtained from the original ground motion and the residual motion is simply compared. This comparison permits to define a threshold pulse-period (Tp∗) as the threshold period above which the pulse component has negligible contributions to the Fourier amplitude spectrum. The effect of pulse on frequency content of motions was discussed on the light of this definition. The advantage and superior features of the new definition were related to the inelastic displacement ratio (IDR) for single-degree-of-freedom systems with period equal to one half of the threshold period. Analyses performed for the proposed period at three ductility levels u=2,4,6 were compared with the results obtained at half of pulse period derived from wavelet analysis, peak-point method and the peak of product of the velocity and the displacement response spectra (Sv x Sd). According to the results, pulse effects on inelastic displacement ratio seem to be more important when $\frac{T_p^*}{T}=2$ (T is the fundamental vibration period of system). The results showed that utilizing of the proposed definition could facilitate an enhanced understanding of pulse-like records features.

The Stress and Adaptation of the Spouses of Patients with Gynecological Cancer (여성생식기암 환자 배우자의 스트레스와 적응)

  • Kim, Sung-Hyo;Lee, Eun-Sook
    • Asian Oncology Nursing
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    • v.6 no.2
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    • pp.162-171
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    • 2006
  • Purpose: This study was undertaken to obtain the basic data on the spouses‘ stress and adaptation caring their wives affected by gynecological cancer. In addition, moderating variables for adaptation, family resource and situational definition, were also investigated. Method: This study was descriptive survey research work by questionnaire on the 71 spouses hospitalized in an university hospital located on Gwangju from Sep. 2001 to Oct. 2002. Results: The mean score of stress was 2.27, and the mean score of adaptation was 3.12. The correlation between stress and adaptation was significant (r = -.692, p = .000). The adaptation score of high stress group with high family resource was higher (p = .041) than the group with low family resource. The adaptation score of high stress group with high situational definition was higher (p = .033) than the group with low situational definition. Conclusion: This study showed that the spouses experienced a similar level of stress compared with the level of families with other type of cancer. This study also showed that the stress and adaptation levels were different depending upon the family resource and situational definition. This aspect should be considered for the development of nursing intervention program for the spouse of patients with gynecological cancer.

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