• East Asian mathematical journal
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• 제32권2호
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• pp.153-174
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• 2016

The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through focus group's investigations on the elementary mathematics teacher's guide books. First, We survey previous studies on the teacher's guide books to make the frame of investigation. Next, We compose focus group(8 teachers) for 3~4th grades, and analyze the teacher's guide books according to ready-made frame: compliance of curriculum, accuracy and fairness of contents, selection and organization of contents. As results of investigation, system of organization of the teacher's guide books is needed. Goal, contents, teaching methods, and evaluations have to be consistent in describing mathematical terms. And errors in mathematics and mathematics education are examined more carefully. The teacher's guide books afford teachers many materials and informations to teach mathematics through classroom lessons. So more study on the teacher's guide books and developmental study for the model guidebooks is needed along with the revised curriculum and new textbooks.

• 한국수학교육학회지시리즈A:수학교육
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• 제50권4호
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• pp.467-487
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• 2011

The purpose of this study is to analyze of gifted students' improvement on mathematical attitude and problem-solving ability through project-based materials in science high school. For this study, research questions are established as follows. 1. Does the project-based materials-used instruction have a positive effect on improving problem-solving ability? 2. Does the project-based materials-used instruction have a positive effect on improving mathematical attitude? To solve these research questions, this study employed a survey and interview type investigation for gifted students' mathematical attitude and problem-solving ability. A subject of classes were randomly selected among the 11th grader in D science high school and designated one class as the experimental group and the other class as the control group. Twelve hours of the project-based materials-used instruction and the traditional textbook-oriented instruction had been carried out in each class. Findings on this study are as follows: First, the project-based material-used instruction is shown to be more effective in enhancing problem-solving ability than the traditional textbook-oriented instruction. Second, the project-based material-used instruction is shown to be more effective in improving mathematical attitude than the traditional textbook-oriented instruction.

• 대한수학회지
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• 제47권3호
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• pp.495-504
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• 2010

This paper continues a line investigation in [1]. Let A be a K-algebra and M an A/K-bimodule. In [5] Hamaguchi gave a necessary and sufficient condition for gDer(A, M) to be isomorphic to BDer(A, M). The main aim of this paper is to establish similar relationships for generalized ($\sigma$, $\tau$)-derivations.

• 호남수학학술지
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• 제37권4호
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• pp.397-409
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• 2015

This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.

• 충청수학회지
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• 제19권1호
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• pp.49-56
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• 2006

A convergence behavior is under investigation near a simple real zero for the k-fold pseudo-Olver's method defined by extending the classical Olver's method. The order of convergence is shown to be at least k+3. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. Various numerical examples with a proposed zero-finding algorithm are successfully confirmed with the use of symbolic and computational ability of Mathematica.

• Korean Journal of Mathematics
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• 제27권4호
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• pp.929-947
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• 2019

In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give nontrivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.673-682
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• 2003

In this paper, we studied how to organize and develop a web based diagnostic-formative evaluation system. We investigated the interest of students about the system and analyze their scores after we applied this system to 10-th grade students for 10 months.

• 대한수학회보
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• 제51권6호
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• pp.1605-1614
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• 2014

In continuation to the investigation initiated by Ferraz, Goodaire and Milies in [4], we provide an explicit description for the Wedderburn decomposition of finite semisimple group algebras of the class of finite groups G, such that $$G/Z(G){\simeq_-}C_2{\times}C_2$$, where Z(G) denotes the center of G.

• 대한수학회보
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• 제51권4호
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• pp.1015-1022
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• 2014

This paper continues the investigation of covers of cyclic acts over monoids. Special attention is paid to (P)-covers and strongly flat covers of cyclic acts. In 2008 Mahmoudi and Renshaw posed some open problems and we gave some examples on them in 2012. In this paper, we obtained some further results on these problems and hence gave some deeper answers to them.

• 대한수학회보
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• 제50권5호
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• pp.1531-1538
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• 2013

In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:=\{z{\in}\mathbb{C}:1<{\mid}z{\mid}<{\infty}\}$ whose inverse $f^{-1}(w)$ is also univalent meromorphic in $\tilde{\Delta}$. Estimates for the initial coefficients are obtained for the functions in these new subclasses.