• 대한수학회논문집
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• 제35권3호
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• pp.723-731
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• 2020

The purpose of this paper is to study the structure of quotient rings R/P where R is an arbitrary ring and P is a prime ideal of R. Especially, we will establish a relationship between the structure of this class of rings and the behavior of derivations satisfying algebraic identities involving prime ideals. Furthermore, the characteristic of the quotient ring R/P has been determined in some situations.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제4권2호
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• pp.151-163
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• 2000

This research is the object to investigate these thing; how do teachers undertaking at the spot classrooms to recognize performance assessment and how do they decide to question and how go the present practiced state and what is the problem points in the present performance assessment. Additonal things of problem point like a research object are following; Lets look over recognition, actual situations and various problems for mathematics performance assessment of elementary school teachers. Concerning question papers, the problem largely lie in 4 regions, that is to say the recognition of performance assessment, the current state of affairs in practice, deciding questions and problems of putting theory into practices, of the 480 teachers-the object of our studies-about 380 returned our questionaire. However, as there were too many in the age range 30 to 40 are excluded 80, choosing 300 to us as data in our analysis.

• Communications for Statistical Applications and Methods
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• 제27권5호
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• pp.547-568
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• 2020

Modeling the statistical autocorrelations in spatial data is often achieved through the estimation of the variograms, where the selection of the appropriate valid variogram model, especially for small samples, is crucial for achieving precise spatial prediction results from kriging interpolations. To estimate such a variogram, we traditionally start by computing the empirical variogram (traditional Matheron or robust Cressie-Hawkins or kernel-based nonparametric approaches). In this article, we conduct numerical studies comparing the performance of these empirical variograms. In most situations, the nonparametric empirical variable nearest-neighbor (VNN) showed better performance than its competitors (Matheron, Cressie-Hawkins, and Nadaraya-Watson). The analysis of the spatial groundwater dataset used in this article suggests that the wave variogram model, with hole effect structure, fitted to the empirical VNN variogram is the most appropriate choice. This selected variogram is used with the ordinary kriging model to produce the predicted pollution map of the nitrate concentrations in groundwater dataset.

• 한국수학사학회지
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• 제31권3호
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• pp.127-150
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• 2018

In spite of important researches and translational works of the Joseon mathematical treatises in the 80's and on, these results were almost out of reach to the school teachers as well as students due to the antiquity of their contents and the terms used. In order to make our traditional mathematics approachable to the middle and high school students, it will be educationally meaningful to reinterpret them tuned at the student's level using modern terminology and symbols. In this study, we reinterpreted 9 problems from Cheukryang Dohae, which is one of the representative mathematical books of Joseon Dynasty. We used the terminology and symbols from the school curriculum. We also reconstructed two of them using modern metrologies adapted to modern situations adding illustrations and photos, so that they are useful at the teaching site.

• 한국수학교육학회지시리즈A:수학교육
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• 제38권1호
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• pp.61-75
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• 1999

This study has its purpose to develop an optimal teaching model in math class leading to an effective device of open education in mathematics being transformed from the current teacher-centered teaching to the individually specified student-centered one on the basis of the definitions and methods of open education learned from sundry literature references. Accordingly, this paper established several patterns of effective open math class for teaching specific math's contents, followed by developing applicable teaching-learning models for class situation rested on each math lesson's features. Unit learning models for open education in mathematics, which were made step by step according to each unit's contents were also presented to be applied to real class situations.

• 한국학교수학회논문집
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• 제9권2호
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• pp.163-177
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• 2006

수학영재의 창의적 문제해결력 신장을 위한 새로운 교수 학습방법이 요구되고 있다. 이에 본 연구는 과학고 수학반 학생들을 대상으로 사사프로젝트 학습을 실시하여 수학영재들이 어떠한 상황에서 창의성을 발휘하는가, 학습과정에서 벌어지는 영재 상호 간의 교류가 그들의 창의성 신장에 도움이 되는가, 또한 창의적 문제해결력 검사를 실시하고 그 결과 분석을 통해 수학영재들에게 사사프로젝트 학습이 효과성이 있는가를 알아보았다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제24권4호
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• pp.865-876
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• 2010

본 연구에서는 몇 연구자들에 의해 대학 강좌에 적용된 변형무어 교수법들을 살펴보았다. 이 교수법들로 실시된 구체적인 수업 형태를 소개, 비교 분석하고, 국내의 수학 관련 전공의 현실에 맞는 변형무어교수법을 제시하였다.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.769-783
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• 2021

Demirci ((1999) Vague groups. J. Math. Anal. Appl. 230, 142-156) introduced the concept of vague groups as one of uncertain reasoning structures where indistinguishable operators separate points. In this paper, we consider vague groups in which an indistinguishable operator does not need to separate points because it seems more appropriate to handle ambiguous situations. For our purposes we generalize or redefine some notions such as: vague closed subset, vague subgroup, vague kernel and vague injectiveness. Consequently we generalize most of the known results and obtain some new additional fundamental properties of vague groups, some of which are similar to ones of ordinary groups.

• East Asian mathematical journal
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• 제38권4호
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• pp.379-396
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• 2022

In this paper, we investigate distribution strategies in the Egyptian fraction, and through this, we examine the distribution strategies of (fraction)÷(fraction) and then provide some educational implications. The (natural number)÷(natural number) of the sharing situation has the meaning of 'share' per unit, which can be seen as a situation where the unit ratio is determined. These concepts can also naturally be extended to the case of (fraction)÷(fraction) by some problem posing situations. That is to say, the case of (fraction)÷(fraction) can be deduced the case (natural number)÷(natural number) by the re-statement of the problem.

• Journal of Applied and Pure Mathematics
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• 제5권1_2호
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• pp.1-8
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• 2023

This study is on a Boolean B or Boolean lattice L in abstract algebra with closed binary operation *, complement and distributive properties. Both Binary operations and logic properties dominate this set. A lattice sheds light on binary operations and other algebraic structures. In particular, the construction of the elements of this L set from idempotent elements, our definition of k-order idempotent has led to the expanded definition of the definition of the lattice theory. In addition, a lattice offers clever solutions to vital problems in life with the concept of logic. The restriction on a lattice is clearly also limit such applications. The flexibility of logical theories adds even more vitality to practices. This is the main theme of the study. Therefore, the properties of the set elements resulting from the binary operation force the logic theory. According to the new definition given, some properties, lemmas and theorems of the lattice theory are examined. Examples of different situations are given.