• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.241-266
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• 2018

The purpose of this study were to design and apply a teaching-learning model for flipped learning in elementary school mathematics based on a student's active learning model for mathematics, and then to examine their effects. Finally, this suggests two points to consider when applying flipped learning to young learners. The results of this study are as follows. First, The model showed meaningful results that improved learners' academic achievement. Second, The application of flipped learning, which reflects the characteristics of the mathematics department, gave learners a higher level of satisfaction than traditional classes. Third, as a result of analyzing students' testimonies, it was possible to form a habit of self-study without help of anyone at the desired time and place, and to solve the problem created beforehand with friends so that self-directed learning habit formation and interest in class respectively.

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.941-953
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• 2014

In this paper, a 2-circular matrix theory is developed, and a concept of spectral radius for biorthogonal wavelet is introduced. We propose a novel design method by minimizing the spectral radius and obtain a wavelet which has better performance than the famous 9-7 wavelet in terms of image compression coding.

• The Mathematical Education
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• v.55 no.4
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• pp.485-501
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• 2016

This study was to explore the factors that mathematics teachers actually need to improve their students' creativity and character to pursue education in the direction of the revised curriculum. We first temporarily extracted the elements to reinforce mathematics teachers' professionalism for creativity and character education through literature review, and then conducted the modified delphi technique and interview by targeting secondary school mathematics teachers. Based on the discussion of previous studies, we divided into five areas for mathematics teachers' professional development of creativity and character education: 1. understanding of creativity and character education, 2. creating an environment, 3. understanding curriculum for creativity and character education, 4. instructional design and apply for creativity and character education, 5. evaluating for creativity and character education. Actually content elements highly required by mathematics teachers were reset 17 items. The results of this study are expected to be used as the basis for teachers' professional development of creativity and character education in mathematics education.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.329-345
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• 2014

CAGD(Computer Aided Geometric Design) is a branch of applied mathematics concerned with algorithms for the design of smooth curves and surfaces and for their efficient mathematical representation. The representation is used for the computation of the curves and surfaces, as well as geometrical quantities of importance such as curvatures, intersection curves between two surfaces and offset surfaces. The $B\acute{e}zier$ curves, B-spline, rational $B\acute{e}zier$ curves and NURBS(Non-Uniform Rational B-Spline) are basically and widely used in CAGD. The definitions and properties of these curves are presented in this paper. And a brief history of study on the bound for derivative of rational curves in CAGD is also presented.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.11-30
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• 2004

Access Control is one of essential branches to provide system's security. Depending on what standards we apply, in general, there are Role-based access control, History-based access control. The first is based on subject's role, The later is based on subject's history. In fact, RBAC has been implemented, we are using it by purchasing some orders through the internet. But, HBAC is so complex that there will occur some errors on the system. This is more and more when HBAC is used with other access controls. So HBAC's formalization and model which are general enough to encompass a range of policies in using more than one access control model within a given system are important. To simplify these, we design the mathematical model called non-access structure. This Non-access structure contains to historical access list. If it is given subjects and objects, we look into subject grouping and object relation, and then we design Non-access structure. Then we can determine the permission based on history without conflict.

• Coupled systems mechanics
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• v.11 no.3
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• pp.259-266
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• 2022

Non-Traditional Optimization methods are successfully used in solving many engineering problems. Shaft is one of important element of machines and it is used to transmit power from a machine which produces power to a machine which absorbs power. In this paper, ten non-traditional optimization methods that are ALO, GWO, DA, FPA, FA, WOA, CSO, PSO, BA and GSA are used to find minimum weight of hollow shaft to get global optimal solution. The problem has two design variables and two inequality constraints. The comparative results show that the Particle Swarm Optimization outperforms other methods and the results are validated using ANSYS.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.37-48
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• 2004

In this article we study on a mathematics(geometry) textbook which is written for the purpose of considering student's individual difference by famous russian author V. A. Gusev. We analyze text and exercise of the experimental textbook, form and extract some didactical ideas that help us to design individualized mathematics classroom activities with students.

• East Asian mathematical journal
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• v.38 no.2
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• pp.215-240
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• 2022

In this study, we proposed a learning-centered DIY mathematics instruction for students to actively design instructions and developed important competencies. The research problems of this study were as follows. First, how did learning-centered DIY mathematics instruction affect math academic achievement? Second, how did learning-centered DIY mathematics instruction affect the affective domain? Third, what was the reaction of students to the implementation of the learning-centered DIY mathematics instruction? For this purpose, this study was conducted with 58 students in 2 classes of 2nd grade of 00 High School located in 00 Metropolitan City. As a result of the study, first, it could be seen that the study group that taught the learning-centered DIY mathematics instruction was very helpful in the change of mathematics academic achievement compared to the comparative group who taught the explanatory instruction based on traditional textbooks. Second, the research group showed a significant improvement in the affective domain compared to the comparison group. Third, the responses of the students in the research group through the learning-centered DIY mathematics instruction improved in a positive direction, and there were some negative responses.

• Journal of applied mathematics & informatics
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• v.29 no.5_6
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• pp.1143-1155
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• 2011

In this paper, we shall establish a new theorem on the existence and uniqueness of the solution to a backward doubly stochastic differential equations under a weaker condition than the Lipschitz coefficient. We also show a comparison theorem for this kind of equations.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.77-92
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• 2005

An efficient parallel algorithm is presented to find a maximum weight independent set of a permutation graph which takes O(log n) time using O($n^2$/ log n) processors on an EREW PRAM, provided the graph has at most O(n) maximal independent sets. The best known parallel algorithm takes O($log^2n$) time and O($n^3/log\;n$) processors on a CREW PRAM.