• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.425-430
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• 2010

In this work, We consider an initial boundary value problem for a class of nonlinear hyperbolic equations. We establish a blow-up result for certain solutions with a dissipative term.

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.131-145
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• 2017

In this paper, we study the uniqueness and value sharing problems in class ${\mathcal{A}}$ of meromorphic functions. We obtain significant results which improve as well as generalize the result of C.C Yang and Xinhou Hua [10].

• 호남수학학술지
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• 제36권1호
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• pp.147-155
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• 2014

Let D be a square-free positive integer and let $K_D=\mathbb{Q}(\sqrt{-D})$ be the imaginary quadratic field. And let $h_D$ be the class number of the number field $K_D$. In this paper, we show the following: If D=l or 4l, where l is a prime number with $l{\equiv}3$ (mod 4), then $h_D$ is odd.

• 대한수학교육학회지:학교수학
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• 제4권3호
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• pp.331-346
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• 2002

This study has two purposes. One is to know that it is Possible to use portfolio in the elementary math class. The other is to make a useful method for using portfolio. We got the following conclusion through the study. Portfolio gave students an opportunity that they could review their mathematical thinking. But it couldn't work very well for the low-level students. They didn't pay attention to the class. So, careful prepa-ration and training were necessary for the portfolio material. And the portfolio material must be prepared by appropriate contents. Teacher had to do math class by considering students ability. The math class could be much better for motivation, teaching-learning activity impro-vement and communication tool by using portfolio material. There are several imple-mentation processes in preparation, execution and utilization of the class. 1) Preparation: Teacher must decide if it is appropriate for portfolio by analyzing the course and textbook and set a final goal. And then teacher has to select an appropriate item and make a schedule for the class. The portfolio material must contain valuable things from which students learn mathematics and use in their life. The student level, utilization purpose and contents are considered when one prepares portfolio material. 2) Execution: Students are supposed to understand about the portfolio very well. It is important for them to get the opportunity for reviewing through math class diary, their opinion, friends opinion and teachers opinion. 3) Utilization: Parents review ameliorates the communication among teacher, student and parents about learning activity.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제4권2호
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• pp.139-150
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• 2000

The objectives of the current study are first, to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructivists view, and, second, thereby to reveal possible problems of the present teaching practice and to suggest some guidelines to solve those problems.The results of this research are as follows: First, longer time was spent to reach the target pont of class because the class was a little bit disturbed and noisy due to a large amount of student activities in the beginning of the class in the constructive view. Second, in the class in the constructive view, the teacher should be able to respond appropriately to the situation where the students were cognitively. And the teachers sufficient preparation for the class was found essential to have the students reach the target point by themselves through identifying children`s minds. Third, the class in the constructivists view provide the teaching environment were the teacher could evaluate each students ability accurately and study progress of the class. And fourth, finally, it was not easy for the teacher to pay attention individually to each student in the current situation of large class, The effort to have more concern for students seems to contribute to opening student`s closed minds and to forming positive attitudes toward mathematics.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.435-440
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• 2006

Let G be a simple graph with vertex set V(G) and edge set E(G). A subset S of E(G) is called an edge cover of G if the subgraph induced by S is a spanning subgraph of G. The maximum number of edge covers which form a partition of E(G) is called edge covering chromatic number of G, denoted by X'c(G). It is known that for any graph G with minimum degree ${\delta},\;{\delta}-1{\le}X'c(G){\le}{\delta}$. If $X'c(G) ={\delta}$, then G is called a graph of CI class, otherwise G is called a graph of CII class. It is easy to prove that the problem of deciding whether a given graph is of CI class or CII class is NP-complete. In this paper, we consider the classification of nearly bipartite graph and give some sufficient conditions for a nearly bipartite graph to be of CI class.

• Korean Journal of Mathematics
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• 제24권2호
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• pp.139-168
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• 2016

In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.

• 공학교육연구
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• 제22권5호
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• pp.13-19
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• 2019

It is important to encourage students who are having difficulty learning mathematics and majors due to lack of basic knowledge, and encourage them to improve their academic performance by focusing on and participating in class. The purpose of this study is to confirm the applicability of the Jigsaw Method by analyzing the change of the learner's academic achievement and the attitude of the learner's mathematics by applying the Jigsaw Model. During the four weeks, the Jigsaw Model was applied to 30 experimental students and the instructor-led lectures were given to 36 students in the comparative group. As a result of the study, it was confirmed that the average of the experimental groups applying the Jigsaw model was higher than the average of the comparative group in the lecture class. The results of the survey showed that the Jigsaw Model increased class concentration and participation, helped self - directed learning, and had high learning satisfaction.

• East Asian mathematical journal
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• 제30권2호
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• pp.123-148
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• 2014

The purpose of this article described the effects of mentoring program to the underachiever's attitude in learning Mathematics. In order to do this research, a mentoring class had been carried out for 30 weeks, with two students who was underachievers in mathematics. It was carried out contrastive analysis on the student's learning attitude in the math class before and after the mentoring, using a questionnaire of learning attitude in math with 40 questions, filling the blanks in sentence, recording files of class, and mentoring journals. As a result, before taking the mentoring class, students who were participated in the mentoring program were negative and low in five subordinate concepts(learning attitude, such as their tendency, interest, desire, confidence, attitude, and studying habits in math). However, after the mentoring class, the two students were remarkably changed in positive way on the five concepts in learning mathematics. Therefore, it is helpful to underachievers in mathematics if the mentoring program is used since it yields a positive impact on the learning attitude.

• Communications for Statistical Applications and Methods
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• 제20권4호
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• pp.247-257
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• 2013

A variety of practical problems can be addressed in the framework of rotation (successive) sampling. The present work presents a sample rotation pattern where sampling units are drawn on two successive occasions. The problem of estimation of population variance on current (second) occasion in two - occasion successive (rotation) sampling has been considered. A class of estimators has been proposed for population variance that includes many estimators as a particular case. Asymptotic properties of the proposed class of estimators are discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Optimum replacement policy is discussed. Results are supported with the empirical means of comparison.