• Korean Journal of Mathematics
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• v.25 no.1
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• pp.61-70
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• 2017

In this paper, we introduce the concept of statistically sequentially quotient map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we give an affirmative answer for a question by Fucai Lin and Shou Lin.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.6
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• pp.532-537
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• 2001

In this paper we introduce the concept of fuzzy quotient spaces as the new ways and investigate their some properties.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.332-336
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• 2001

In this paper, we introduce the concept of fuzzy quotient spaces as the new ways and investigate their some properties.

• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.33-40
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• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.467-480
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• 2014

Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.547-563
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• 2005

There have been many papers reporting that the axiomatic approach in Abstract Algebra is a big obstacle to overcome for the students who are not trained to think in an abstract way. Therefore an instructor must seek for ways to help students grasp mathematical concepts in Abstract Algebra and select the ones suitable for students. Mathematics faculty and students generally consider Abstract Algebra in general and quotient groups in particular to be one of the most troublesome undergraduate subjects. For, an individual's knowledge of the concept of group should include an understanding of various mathematical properties and constructions including groups consisting of undefined elements and a binary operation satisfying the axioms. Even if one begins with a very concrete group, the transition from the group to one of its quotient changes the nature of the elements and forces a student to deal with elements that are undefined. In fact, we also have found through running abstract algebra courses for several years that students have considerable difficulty in understanding the concept of quotient groups. Based on the above observation, we explore and analyze the nature of students' knowledge about $Z_n$ that is the set of congruence classes modulo n. Applying the genetic decomposition method, we propose a model to lead students to achieve the correct concept of $Z_n$.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.4
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• pp.321-330
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• 2006

We introduce the concept of intuitionistic fuzzy weak congruence on a semiring and obtain the relation between intuitionistic fuzzy weak congruence and intuitionistic fuzzy ideal of a semiring. Also we define and investigate intuitionistic fuzzy quotient semiring of a semiring over an intuitionistic fuzzy ideal or over an intuitionistic fuzzy weak congruence.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.425-439
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• 2014

The concept of a fraction as division is a core idea which serves as a axiom in the process of a extension of the natural number system to rational number system. Also, it has necessary position in elementary mathematics. Nevertheless, the timing and method of the introduction of this concept in Korean elementary math textbooks is not well established. In this thesis, I suggested a solution of a various topics which is related to this problem, that is, transforming improper fraction to mixed number, the usage of quotient as a term, explaining the algorithm of division of fraction, transforming fraction to decimal.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.25-43
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• 2009

The fraction concept consists of various meanings and is one of the abstract and difficult in elementary school mathematics. This study intends to find out the implication for introducing the fraction concept by comparing mathematics textbooks of Korea and Singapore. Both countries' students peformed well in recent TIMMSs. Some implications are as follows; The term 'equal' is not defined and the results of various 'equal partitioning' activities can not easily examined in Korea's mathematics textbook. And contexts of introducing fractions as a quotient and a ratio are unnatural in Korea's mathematics textbook in comparison with Singapore's mathematics textbook. So these ideas should be reconsidered in order to seek the direction for improvement of it. And Korea's textbooks need the emphasis on the fraction as a measure and on constructing fraction concept by unit fraction.

• Korean Institute of Interior Design Journal
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• v.26 no.6
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• pp.116-125
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• 2017

The study is aimed to analyze cases of hotel room designs based on the 'Art Quotient'. It is focused on design elements of livability, analyzing the space design in terms of biophilic design and experiential marketing. This paper proposes a direction for hotel design based on the analysis result. The scope of the study includes the cases of 17 hotels in the area of Seoul achieving five stars in Korea. This paper presents an analysis whether the room space of hotels provide a user-oriented life experience from the perspective of biophilic design and experiential marketing. In this study, we focused on the concept of 'refuge', one of the biophilic design elements that express the value of life sense, and the element of 'sense', one of the strategic experiential modules of experiential marketing. After analyzing the hotel case studies, the space was evaluated using five factors of art quotient as a design method to provide a life experience in the hotel room. Analysis of the design space from the viewpoint of refuge, rather than architectural elements, proved that decorative elements appeared most commonly in all hotel rooms. Further, through an analysis based on the measures of 'sense', an experiential element, visual elements were mostly enforced in among the elements of the five senses. In other words, when designing a hotel room space, visual elements such as color, pattern, furniture, lighting and style are mainly utilized. Examining the analysis of the design elements from the point of view of the art quotient, the rooms of all the hotel's suite types include elements of 'communication'. Most of the hotel rooms focused on stimulating the aesthetic sensibility of customers. This resulted in the elements of 'immersion' showing poor results. In conclusion, it is necessary to provide the five senses of the arts index in a balanced manner to provide a life experience through the five senses.