• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1265-1277
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• 2009

In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

• Kyungpook Mathematical Journal
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• v.60 no.3
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• pp.629-645
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• 2020

A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.

• Kyungpook Mathematical Journal
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• v.61 no.3
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• pp.591-612
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• 2021

In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

• Journal of Industrial Convergence
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• v.21 no.1
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• pp.123-135
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• 2023

In liberal SW education, nurturing student with creative problem-solving ability based on SW is considered important. The purpose of this study is to design SW education and to investigate the effects on students' computational thinking and creative problem solving abilities. This study designed classes in accordance with convergent project and the CT-CPS model and 38 undergraduate students have participated this study. The questionnaire survey was given to students and analyzed the effectiveness of class. The results of this study were as follows: Fitst, SW education significantly improved computational thinking and creative problem solving ability. Second, computational thinking improve significantly in high and low initial score group and creative problem solving improve significantly in low initial score group. However, creative problem solving ability did not improve significantly in high initial score group. Third, computational thinking improve significantly in all majors and creative problem solving improve significantly in college of natural science. However, creative problem solving ability did not improve significantly in college of humanities and social science. In examining the effects on students' computational thinking and creative problem-solving abilities and verify differences by pre-test and major, this study provides significance in expanding the understanding about the nature liberal SW education.

• Journal of Korean Elementary Science Education
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• v.21 no.1
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• pp.71-80
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• 2002

The purpose of this study was to develop children's creativity by applying creative problem solving model to elementary school science. Creative problem solving(CPS), the theoretical frame of model is proposed by Treffinger et al.(1994). CPS model is based on a substantial foundation of theory and research about creativity and problem solving. It is a well organized, deliberate set of methods you can call upon whenever you need new ideas or solutions and a process anyone can use to deal with many of life's everyday problems, opportunities, and challenges. CPS consists of three components. Within these three components, there are six specific stages during which creative and critical thinking abilities are used in harmony. Each stage involves both divergent and convergent thinking. The study was conducted for six week during the 1998 two semester in A elementary school which is located in Incheon. Eighty three 2nd grade students are selected for this study. The students were divided into two groups--experimental group and control group. The experimental group were taught in applying the CPS model, and the control group were taught by the traditional manner. Data for this study were collected by questionnaire which were developed by this researcher, and were analyzed by SPSSWIN 8.0. The results of this study were as follows: There was a significant difference on creativity between the instruction by applying CPS model and the traditional instruction. There was also gender differences on creativity between two groups. On fluency and flexibility as components of creativity, there was a signigicant difference between two groups. In conclusion, the instruction by applying CPS model was more effective in developing children's creativity than the traditional instruction.

• Journal of Engineering Education Research
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• v.23 no.5
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• pp.3-15
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• 2020

With the 4th Industrial Revolution, educational change is required to cultivate the ability to adapt in the rapidly changing future. Accordingly, the importance of nurturing convergent talents to create new values using the humanities imagination, science and technology creativity, and engineering problem solving ability has emerged. The purpose of this study is to develop STEAM education program with Daedeok R&D Zone and KAIST resources for middle school and high school level. With this program, we investigated the effectivenss of STEAM education on creative problem solving ability, self-efficacy and the perception of STEAM education with pre-test and poste-test model. For this study, 91 students(46 middle school, 45 high school) participated in STEAM education program. As a result student participated in the STEAM program improved the creative problem-solving ability and students' interest in math and science. Also, students perceived STEAM program provided benefits of science-related career information. The suggestions were discussed based on the results.

• Knowledge Management Research
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• v.20 no.1
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• pp.77-99
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• 2019

This study aims to examine validity and reliability of the convergence talent measurement. Based on the comprehensive literature review on convergence and convergence talent, we draw 4 main competencies (convergence cognitive, accomplishment, problem solving, and attitude) and 10 critical aspects (creative thinking, critical thinking, cooperation, communication, problem-solving, knowledge accessibility, resource utilization, trust, openness, caring) for building an effective convergence-oriented organization. A validity and reliability test survey were conducted for the analysis to investigate the convergence talent scale. With a data of 151 employees in diverse companies, the results show that the factors demonstrated acceptable levels of validity and reliability. The empirical evidences of our study are 10 key aspects comprising four main dimensions which suggest an available scale for measuring the convergent talent for enhancing convergence-oriented organizations. Our research contributes to the expansion of academic and practical implications on convergence, especially in convergence-oriented organizations.

• The Journal of Industrial Distribution & Business
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• v.10 no.11
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• pp.71-80
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• 2019

Purpose: The purpose of this study is to design the curriculum of Basic College Software Programming to develop creative and logical-thinking. This course is guided by algorithmic thinking and logical thinking that can be solved by computing for problem-solving, and it helps to develop by software through basic programming education. Through the stage of problem analysis, abstraction, algorithm, data structure, and algorithm implementation, the curriculum is designed to help learners experience algorithm problem-solving in various areas to develop diffusion thinking. For Learners aim to achieve the balanced development of divergent and convergent-thinking needed in their creative problem-solving skills. Research design, data and methodology: This study is to design a basic software education for improving algorithm-thinking for non-major. The curriculum designed in this paper is necessary to non-majors students who have completed the 'Creative Thinking and Coding Course' Design Thinking based are targeted. For this, contents were extracted through advanced research analysis at home and abroad, and experts in computer education, computer engineering, SW education, and education were surveyed in the form of quasi-openness. Results: In this study, based on ADD Thinking's algorithm thinking, we divided the unit college majors into five groups so that students of each major could accomplish the goal of "the ability to internalize their own ideas into computing," and extracted and designed different content areas, content elements and sub-components from each group. Through three expert surveys, we established a strategy for characterization by demand analysis and major/textbook category and verified the appropriateness of the design direction to ensure that the subjects and contents of the curriculum are appropriate for each family in order to improve algorithm-thinking. Conclusions: This study helps develop software by enhancing the ability of students who practice various subjects and exercises to explore creative expressions in various areas, such as 'how to think like a computer' that can implement and execute their ideas in computing. And it helps increase the ability to think logical and algorithmic computing based on creative solutions, improving problem-solving ability based on computing thinking and fundamental understanding of computer coding and development of logical thinking ability through programming.

• Bulletin of the Korean Mathematical Society
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• v.50 no.3
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• pp.823-832
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• 2013

We present a new algorithm for solving a system of nonlinear equations with convex constraints which combines proximal point and projection methodologies. Compared with the existing projection methods for solving the problem, we use a different system of linear equations to obtain the proximal point; and moreover, at the step of getting next iterate, our projection way and projection region are also different. Based on the Armijo-type line search procedure, a new hyperplane is introduced. Using the separate property of hyperplane, the new algorithm is proved to be globally convergent under much weaker assumptions than monotone or more generally pseudomonotone. We study the convergence rate of the iterative sequence under very mild error bound conditions.

• Korean Institute of Interior Design Journal
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• v.22 no.4
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• pp.33-40
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• 2013

This study aims to recognize that creative thinking methodologies can be adopted in the spatial design. The concept of 'Convergent' and 'Divergent' used in structure of intellect model by Guilford is chosen to understand the character of creative thinking methodologies. Technical and physical contradictions is analyzed for '40 inventive principles' of TRIZ and spatial design works. Through this study, we recognize that the creative thinking methodologies consist of analysis, idea generation and evaluation phase. The psychological inertia that limits the creative thinking should be move away from solving problem, and convergent and divergent thinking have peculiarities to be adopted in condition and to be harmonized, and to set the direction of solving technical problems through to reach the target point integrated way of thinking is needed. '40 inventive principles' by Altshuller are based on engineering and useful in many areas of fields. However some principles are not accepted in design process because these are not considered in design field and paradigm is changed from machine to nature. Nowadays, nature is a prime issue for sustainable human life, because it has sustainable recycle structure and saving energy ways. Thus, creative thinking, including TRIZ is useful in design education and progress, and should be an essential element to get a new design paradigm.