• Title/Summary/Keyword: concepts

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Some Fundamental Concepts in (2, L)-Fuzzy Topology Based on Complete Residuated Lattice-Valued Logic

  • Zeyada, Fathei M.;Zahran, A.M.;El-Baki, S.A.Abd;Mousa, A.K.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.230-241
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    • 2010
  • In the present paper we introduce and study fundamental concepts in the framework of L-fuzzifying topology(so called(2,L)-fuzzy topology)as L-concepts where L is a complete residuated lattice. The concepts of (2,L)-derived, (2,L)-closure, (2,L)-interior, (2,L)-exterior and (2,L)-boundary operators are studied and some results on above concepts are obtained. Also, the concepts of an L-convergence of nets and an L-convergence of filters are introduced and some important results are obtained. Furthermore, we introduce and study bases and subbases in (2,L)-topology. As applications of our work the corresponding results(see[10-11]) are generalized and new consequences are obtained.

An Analysis of Informal Concepts of Average Found in Fifth and Sixth Graders (5, 6학년 학생들의 대표값에 대한 비형식적 개념 분석)

  • Lee Chun-Jae;Jeon Pyung-Kook
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2006.05a
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    • pp.1-16
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    • 2006
  • The purpose of this study is to investigate how fifth and sixth graders recognize average and to find out suggestions for teaching/learning methods of average by examining which difference there is depending on the way of the word problem presentation. To solve these study questions, With the way of the word problem presentation set up as experimental treatment experiment was conducted to analyze these. In conclusion, since students who did not learn the regular course of average values had various informal concepts already, it is needed to consider handling more various concepts of average in order to enable students to expand flexible thoughts. And informal concepts of average students showed were the same or similar to types of formalized concepts and had logicality and propriety in their own way. Compared with fifth graders, sixth graders showed a wide difference in informal concepts of average depending on the way of the word problem presentation.

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An analysis of the connections of mathematical thinking for multiplicative structures by second, fourth, and sixth graders (곱셈적 구조에 대한 2, 4, 6학년 학생들의 수학적 사고의 연결성 분석)

  • Kim, YuKyung;Pang, JeongSuk
    • The Mathematical Education
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    • v.53 no.1
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    • pp.57-73
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    • 2014
  • This study investigated the connections of mathematical thinking of students at the second, fourth, and sixth grades with regard to multiplication, fraction, and proportion, all of which have multiplicative structures. A paper-and-pencil test and subsequent interviews were conducted. The results showed that mathematical thinking including vertical thinking and relational thinking was commonly involved in multiplication, fraction, and proportion. On one hand, the insufficient understanding of preceding concepts had negative impact on learning subsequent concepts. On the other hand, learning the succeeding concepts helped students solve the problems related to the preceding concepts. By analyzing the connections between the preceding concepts and the succeeding concepts, this study provides instructional implications of teaching multiplication, fraction, and proportion.

Analyses of Early Childhood Teachers' Concept Maps on Economic Education

  • Jeon, Eun Sun;Kim, Sang Lim
    • International Journal of Advanced Culture Technology
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    • v.7 no.1
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    • pp.43-48
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    • 2019
  • The purpose of the study was to examine early childhood teachers' content knowledge of economic education. The subjects, 60 early childhood teachers, were asked to draw concept maps about early childhood economic education. Their concept maps were analyzed in terms of superordinate and subordinate concepts by contents and frequencies. The results were as follows. First, 248 superordinate concepts were shown, and they were categorized into nine representative terms: 'Scarcity and Choice,' 'Decision Making,' 'Monetary Value,' 'Production,' 'Consumption,' 'Distribution,' 'Restrain,' 'Reuse,' and 'Economic Education Activity.' Second, 1,440 subordinate concepts were shown, and 'coin,' 'bill,' 'saving,' 'bank,' and 'money' were frequently shown. Third, the mean numbers of subordinate concepts per superordinate concepts showed that early childhood teachers had more knowledge about 'Consumption,' 'Monetary Value,' and 'Economic Education Activity' than other superordinate concepts. The results showed the need for early childhood teachers to have more systematic and hierarchical pedagogical content knowledge on economic education.

The Elementary School Teachers' Understandings about the Characteristics of Currents according to the Connection Methods of Batteries in Simple Electric Circuits (전지의 연결방법에 따른 전류의 특성에 대한 초등교사들의 이해도)

  • Hyun, Dong-Geul;Shin, Ae-Kyung
    • Journal of Korean Elementary Science Education
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    • v.33 no.2
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    • pp.335-351
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    • 2014
  • The 96 elementary school teachers' the degrees of understandings about the characteristics of the currents according to the connection methods of batteries in simple electric circuits were investigated. In this study, the concepts on the characteristics of currents according to the connection methods of batteries were divided 'the learned concepts' and 'the differentiated concepts'. The characteristics of the currents in the region of the larger resistance of load than the internal resistance of a battery were called the learned concepts, they are taught in the science curriculum. While the characteristics of the currents in the region of the smaller resistance of load than the internal resistance of a battery were called the differentiated concepts, they are not exposed clearly in the science curriculum. The results obtained in this study are as follows: The average score related to the learned concepts was relatively high, while the degree of the teachers' cognitions of the internal resistance of a battery and the resistance of wires were low. Also the average score related to the differentiated concepts was very low because it seems so new to the elementary school teachers. It strongly suggests that the elementary school teachers did not understand meaningfully the characteristics of the currents related to the connections of batteries on the ground of the cognitions of the internal resistances of batteries and the resistances of loads in simple electric circuits. Hence, they might experience difficulties due to the problems occurred in relation to the connections of batteries in the elementary school science lessons.

The Operational Approach and Structural Approach to the Mathematical Concepts - Focusing on exponential function and logarithmic function - (수학적 개념에 대한 조작적 접근과 구조적 접근 - 지수함수와 로그함수를 중심으로 -)

  • Kim, Bu-Yoon;Kim, So-Young
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.499-514
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    • 2007
  • In modern mathematic education, the development of mathematical ability based on the understanding of mathematical concepts has been emphasized in curriculum and teaching methodology. Also, in schools, most math teachers stress the importance of mathematical concepts in doing math well. Thus, in this paper, we outlined the development of mathematical concepts through the literature survey. And then, based on the Sfard's definition of mathematical concepts, which classifies math concepts into the operational approach and structural approach, we analyzed the math concepts of exponential function and logarithmic function units in three highschool math textbooks. As the result, we found that the textbook authors used different approach for the same concepts, and, at the same time, they used both approaches to help develop the students' math concepts.

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An Analysis for the status of Environmental Education in the light of the Ecological Knowledge in Korea (생태학적 지식과 관련된 우리나라 환경교육의 실태 분석)

  • 박진희;장남기
    • Hwankyungkyoyuk
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    • v.13 no.1
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    • pp.65-74
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    • 2000
  • Environmentally literated students and adults should be able to use and apply the basic ecological concepts when considering environmental problems and issues. Because ecology forms the foundation of environmental education, a review of the literatures on the degree of students' understanding for ecological concepts can provide useful insights for environmental educators. The purposes of this study were as follows: first, to analyse the parts connected with ecological knowledge of two environmental education books, ‘environments’(middle school) and ‘environmental science’(high school), second, to investigate the level of understanding on ecological concepts by the use of new developed instrument. The 20 most important ecological concepts from Cherrett(1989) and the important ecological concepts' lists from Hungerford and Volk(1990), Ramsey, Hungerford and Volk(1992), Volk(1993) would be recognized and endorsed by most environmental educators as concepts essential to environmental literacy, We referenced these informations and sequenced ecological knowledge as four main categories(communities, populations, ecosystem, man as a component of the nature systems). We have used it as a criterion in the analysis of teaching materials and the development of a new test instrument($\alpha$=0.81). According to the analysed results, the understanding levels for scales and relationships of communities, populations, ecosystem were high but those for individual concepts and differences were low. By the analysis of Korean High School EE book, ‘environmental science’, learning for some concepts(succession, material cycling, niche etc.) has pointed out as one of problems. Environmental educators must pay a careful attention to the concepts that showed high rates of incorrect answer and this work will contribute toward consolidating the basis of EE and help the accomplishment of the ultimate goals in EE.

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Conceptual Synthesis of Design Alternatives for Mechanism Design: A Case-Based Approach (메커니즘 설계 대안의 개념적 합성: 사례 기반 접근 방법)

  • 한영현;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.3
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    • pp.224-237
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    • 1999
  • This paper proposes a case-based approach to the conceptual design of mechanism, especially of the generation of design alternatives in function generation and motion transmission tasks. The aim of this work is to generate and provide various design alternatives by utilizing the previous design concepts underling in the existing design cases. The approach is based on the basic idea that the whole design concepts or sub-concepts extracted from different design cases can be merged to generate a variety of new design alternatives. The notion of virtual function generator is introduced to conceptualize and represent all possible underlying design concepts in the prior design cases. The virtual function generators are extracted in advance from the existing mechanism and serve as new conceptual building blocks for the synthesis of mechanism. Various design alternatives are generated basically by merging tow virtual function generators that partially match the specified function. By utilizing the design concepts that have been effectively used in the previous design cases. he proposed approach could efficiently produce more feasible design concepts than from-scratch ones. The approach proposed in this paper is illustrated with a design example.

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A Study on Concepts of Health in Older Korean Women - Q Methodological Approach - (한국 여성노인의 건강개념에 관한 탐색)

  • Shim, Hyung-Wha
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.17 no.1
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    • pp.6-15
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    • 2010
  • Purpose: This paper is a basic study done to establish a theory of health according to Korean culture. The focus is on identifying perceived concepts of health in older Korean women. Method: The Q-method, which is effective in measuring individual subjectivity, was used in this study. Results: Perception of the concept of health was found to have 4 independent types, as follows. 1. Type I : natural & couple-oriented type. Women with this type not only have a naturalistic view of health but also put weight on being couple-centered. 2. Type II: oriental & children-oriented type. These women have traditional oriental views of the world, and are strongly dependent on their children. 3. Type III: western & altruistic type. These women do not agree with oriental concepts of health. They are positive altruists, pursuing the meaning of life. 4. Type IV: modern & self-oriented type. Women with this type not only interpret the concepts of health within western medicine, but also positively accept oriental views of the world. Conclusions: Health concepts of older Korean women are complicated, not only with western-medical concepts of health, but also more strongly complicated with concepts from oriental medicine.

Automatic Single Document Text Summarization Using Key Concepts in Documents

  • Sarkar, Kamal
    • Journal of Information Processing Systems
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    • v.9 no.4
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    • pp.602-620
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    • 2013
  • Many previous research studies on extractive text summarization consider a subset of words in a document as keywords and use a sentence ranking function that ranks sentences based on their similarities with the list of extracted keywords. But the use of key concepts in automatic text summarization task has received less attention in literature on summarization. The proposed work uses key concepts identified from a document for creating a summary of the document. We view single-word or multi-word keyphrases of a document as the important concepts that a document elaborates on. Our work is based on the hypothesis that an extract is an elaboration of the important concepts to some permissible extent and it is controlled by the given summary length restriction. In other words, our method of text summarization chooses a subset of sentences from a document that maximizes the important concepts in the final summary. To allow diverse information in the summary, for each important concept, we select one sentence that is the best possible elaboration of the concept. Accordingly, the most important concept will contribute first to the summary, then to the second best concept, and so on. To prove the effectiveness of our proposed summarization method, we have compared it to some state-of-the art summarization systems and the results show that the proposed method outperforms the existing systems to which it is compared.