• Nonlinear Functional Analysis and Applications
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• v.28 no.2
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• pp.497-520
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• 2023

Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.119-141
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• 2019

This study was carried out in order to draw some implications for teaching statistical graph in mathematics education with respect to practical statistics education for promoting students' statistical literacy. We analyze 133 graphs appearing in 99 elementary textbooks of other subjects (subjects except from mathematics) by subjects and types, and identify some cases of graphs addressed by other subjects. As a results, statistical graph was most addressed in social studies, and bar graphs, line graphs, tables, and circle graphs are most used in other subjects. Moreover, there are some issues related to contents-(1) the problem of curricular sequencing between mathematics and other subjects, (2) the level of addressing ratio graph, and (3) the use of wavy lines. In terms of forms, (1) the visual variation of graphical representations, (2) representation combining multiple graphs, and (2) graphs specialized for particular subjects are drawn as other issues. We suggest some implications to be considered when teaching the statistical graph in elementary mathematics classes.

• Journal of the Korean Statistical Society
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• v.29 no.2
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• pp.155-168
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• 2000

Regarding to multiple comparison problem (MCP) of k normal population variances, we suggest a Bayesian method for calculating posterior probabilities for various hypotheses of equality among population variances. This leads to a simple method for obtaining pairwise comparisons of variances in a statistical experiment with a partition on the parameter space induced by equality and inequality relationships among the variances. The method is derived from the fact that certain features of the hierarchical nonparametric family of Dirichlet process priors, in general, make it amenable to solving the MCP and estimating the posterior probabilities by means of posterior simulation, the Gibbs sampling. Two examples are illustrated for the method. For these examples, the method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison.

• Journal of The Korean Association of Information Education
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• v.23 no.1
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• pp.73-84
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• 2019

Maker movement is emerging as one of the key areas of the fourth industrial revolution in recent years. The maker movement is to create and share what users need using a variety of inexpensive production tools such as open source software and hardware, 3D printers and laser cutters. We think that the effect would be enhanced if design thinking is applied to elementary and middle school (K-12) class. The purpose of this study is to develop a design thinking-based maker education program and to apply it to classroom for clarify the effect on the creative problem solving ability of elementary school students. In order to verify the purpose of the research, students in the 5th-6th grades of elementary school were divided into a controlled group and an experimental group. The general lecture maker class was applied in the controlled group, and our developed design thinking-based maker class was simultaneously applied in the experimental group. The creative problem solving ability test was conducted before and after the test, and its effectiveness was verified using statistical t-test. In conclusion, this study suggests that design thinking-based maker education program has a positive effect on elementary school students' creative problem solving ability.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.453-474
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• 1998

This study is focused on the possibility if we can use graphic calculators in teaching and learning school mathematics. This study is consisted with four main chapters. In chapter II, the functions of the graphic calculator EL-9600 produced by Sharp Corporation was analyzed focused on the possibilities if the functions could be used in teaching and learning school mathematics. Calculating of real numbers and complex numbers, solving equations and system of linear equations, calculating of matrices, graphing of several functions including polynomial functions, trigonometric functions, exponential and logarithmic functions, calculation of differential and integrals, arranging of statical data, graphing of statistical data, testing of statistical hypotheses, and other more useful functions were founded. In Chapter III, a mathematics textbook developed by Core-Plus Mathematics Project was analyzed focused on how a graphic calculator was used in teaching and learning mathematics, In the textbook, graphic calculator was used as a tool in understanding mathematical concepts and solving problems. Graphic calculator is not just a tool to do complex computations but a tool used in the processes of doing mathematics, In chapter IV, the 7th mathematics curriculum for korean secondary schools was analyzed to find the contents could be taught by using graphic calculators. Most of the domains, except geometric figure, were found that they could be taught by using graphic calculators, In chapter V, a model of a unit using graphic calculator in teaching 7th mathematics curriculum was developed. In this model, graphic calculator was used as a tool in the processes of understanding mathematical concepts and solving problems. This study suggests the possibilities that we can use graphic calculators effectively in teaching and learning mathematical concepts and problem solving for most domains of secondary school mathematics.

• Journal of KIISE:Software and Applications
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• v.32 no.12
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• pp.1260-1270
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• 2005

Support Vector Machines (SVM) is well known for a representative learner as one of the kernel methods. SVM which is based on the statistical learning theory shows good generalization performance and has been applied to various pattern recognition problems. However, SVM is basically to deal with a two-class classification problem, so we cannot solve directly a multi-class problem with a binary SVM. One-Per-Class (OPC) and All-Pairs have been applied to solve the face recognition problem, which is one of the multi-class problems, with SVM. The two methods above are ones of the output coding methods, a general approach for solving multi-class problem with multiple binary classifiers, which decomposes a complex multi-class problem into a set of binary problems and then reconstructs the outputs of binary classifiers for each binary problem. In this paper, we introduce the output coding methods as an approach for extending binary SVM to multi-class SVM and propose new output coding schemes based on the Error-Correcting Output Codes (ECOC) which is a dominant theoretical foundation of the output coding methods. From the experiment on the face recognition, we give empirical results on the properties of output coding methods including our proposed ones.

• The Journal of the Korea Contents Association
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• v.21 no.6
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• pp.380-391
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• 2021

In this study, 116 pairs of 5-year-olds and their mothers who are attending at child care centers and kindergartens in Seoul and Incheon were selected for the study to analyze the difference in the mother's emotional expressiveness and children's ability to solve interpersonal problems. The data were analyzed by descriptive statistical analysis and independent sample t-test using SPSS 23.0 program. The results of this study are as follows: First, the negative emotionality of children was significantly different according to the gender of the child, and mothers' emotional expressiveness was significantly different according to the presence of siblings. Second, it was found that mothers of children with higher negative emotionality expressed more negative emotions than children with lower negative emotionality. Third, the children's interpersonal problem solving skills did not show any difference depending on the children's negative emotionality.

• Korean Journal of Human Ecology
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• v.13 no.6
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• pp.847-860
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• 2004

The purpose of this study is to obtain basic data needed to understand school-age children's parent-child communication style, stress coping behaviors, and child behavior problems. The subject of this study were 362 primary school children (the fourth and the sixth graders) and their mothers in "D" Metropolitan City, Korea. The research tools included standardized parent-child communication style scale (Min,l991), stress coping behaviors scale (Min,1998), and child behavior problems scale (Hun,l996). The data were analyzed using statistical techniques such as Mean, standard deviation, frequency, percentile, t-test, F-test, pearson's correlational analysis, stepwise regression analysis. In the relationship between child perceived parent-child communication style and stress coping behaviors, the children who make open communication with their parents demonstrate high problem-solving, support-seeking coping behavior. The children with closed communication with their parents have high hope expectation, revenge coping behavior. In the relationship between child perceived parent-child communication style and child behavior problem, the children making more closed communication with their parents show more behavior problems. The children with more closed communication with their mothers have more hyperactive behaviors, aggressive behaviors, and immature behaviors, and the children who are making more closed communication retain more anxious behaviors and withdrawn behaviors. In the relationship between child stress coping behaviors and behavior problems, the more problem-solving and support-seeking coping behaviors the children possess, the less problem behaviors they demonstrate. The more hope expectation, revenge coping behavior the children possess, the more problem behaviors they show. With the results above, we can find out that parent-child communication style has an effect on stress coping behavior, and parent-child communication style and stress coping behavior have an influence on child behavior problem.

• International Journal of Computer Science & Network Security
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• v.21 no.7
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• pp.150-158
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• 2021

The study identifies the importance of informational and legislative support in ensuring gender equality. It determines the relevance of gender inequality, the main problem, which is confirmed by research and statistical information. The study aims to determine the methods of collecting information and legal regulation of gender issues and the possibility of solving them by public authorities. The main methods of gathering information are census surveys, questionnaires, surveys on public service websites, work with local communities, surveys in nursing homes and orphanages, special survey programs, and election polls. The paper considers the legal regulation of gender inequalities at the international, state, local and organizational levels. According to the analysis of the problem of gender inequality, it is established that the problem is practically eliminated in many developed countries, while countries with low incomes face gender inequality constantly.

• Korean Journal of Human Ecology
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• v.23 no.2
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• pp.293-302
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• 2014

The purpose of this study was to examine the effect of traditional fairy tales verbal expression education on 3-year-old children's social skills. The subjects of this study were 50 3-year-old children at four different private daycare centers in the Kyungnam province. 25 preschoolers were selected as an experimental group, and the others were selected as a control group. The collected data were analyzed by the statistical package SPSS by t- test, MANOVA and ANOVA. The findings of the study were as follows: First, differences between the experimental group and the control group in social skills were significant. There were differences between the experimental group and the control group in problem solving and self-confidence. There was no difference in emotional expression and sense of order. Second, the Cohen's effect size shows that traditional fairy tales verbal expression education effects children's problem solving and self-confidence.