• Title/Summary/Keyword: Problem Solving Theory

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A NEW APPROACH FOR SOLVING THE STOKES PROBLEM

  • Gachpazan, M.;Kerayechian, A.
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.151-164
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    • 2001
  • In this paper, a new approach for finding the approximate solution of the Stokes problem is introduced. In this method the problem is transformed to an equivalent optimization problem. Then, by considering it as a distributed parameter control system, the theory of measure is used to approximate values of pressure are obtained by a finite difference scheme.

The Effects of Knowledge-Sharing Networks: The Influence of Partnering on Supplier Relationship Outcomes (지식 공유 네트웍(network)의 효과)

  • Kim, Gyeong Mook
    • Knowledge Management Research
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    • v.9 no.2
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    • pp.109-127
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    • 2008
  • This cross-level study of 77 samples from Korean 1st-tier suppliers participating in knowledge-sharing networks examined the impact of partnering(joint establishment of goal and joint problem solving system) on supplier relationship outcomes(competativeness improvement and innovative idea suggestion). The findings showed that joint establishment of goal and joint problem solving system were positively related to both supplier's competativeness improvement and its innovative idea suggestion. Whereas, joint problem solving system did account for a significant variance only in innovative idea suggestion. The findings, further, demonstrated that mutual trust moderated the relationship between joint problem solving system and supplier relationship outcomes. Implications for theory and practice are suggested.

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The cognitive load of middle school students according to problem types in collaborative learning for solving the function problems (함수 영역 문제해결 협력학습 과정에서 문제 유형에 따른 중학생의 인지부하 분석)

  • Kim, Seong-Kyeong;Kim, Ji Youn;Lee, Sun Ji;Lee, Bongju
    • The Mathematical Education
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    • v.57 no.2
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    • pp.137-155
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    • 2018
  • From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

The Effect of Design Thinking Based Artificial Intelligence Education Programs on Middle School Students' Creative Problem Solving Ability

  • Seung-Ju, Hong;Seong-Won, Kim;Youngjun, Lee
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.2
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    • pp.227-234
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    • 2023
  • In this paper, we developed a design thinking-based artificial intelligence education program for middle school students and applied it to verify the impact on creative problem-solving skills. The inspection tool used the Creative Problem Solving Profile Inventory (CPSPI), an inspection tool for measuring creative thinking type ability based on the CPS theory of Hwasun Lee, Jungmin Pyo, Insoo Choe(2014). CPSPI included the steps of evaluating cognitive preferences and cognitive abilities by supplementing the limitations of existing tests, and sharing and persuading one's ideas with others. Before and after applying the design thinking-based artificial intelligence education program, as a result of analyzing the creative problem-solving ability, it increased significantly in all areas. As a result of analyzing the creative problem-solving ability of middle school students, significant results were found in the areas of Problem Detection and Analysis, Idea Generation, Action plan, Execution, Persuasion and Communication. The effect of design thinking was confirmed as a teaching and learning method to improve creative problem-solving ability in artificial intelligence education.

Two-dimensional Unsteady Thermal Stresses in a partially heated infinite FGM Plate (부분 가열된 무한 경사기능재료 판의 2차원 비정상 열응력)

  • Kim, Kui-Seob
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.15 no.2
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    • pp.9-17
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    • 2007
  • A Green's function approach based on the laminate theory is adopted for solving the two-dimensional unsteady temperature field and the associated thermal stresses in an infinite plate made of functionally graded material (FGM). All material properties are assumed to depend only on the coordinate x (perpendicular to the surface). The unsteady heat conduction equation is formulated into an eigenvalue problem by making use of the eigenfunction expansion theory and the laminate theory. The eigenvalues and the corresponding eigenfunctions obtained by solving an eigenvalue problem for each layer constitute the Green's function solution for analyzing the two-dimensional unsteady temperature. The associated thermoelastic field is analyzed by making use of the thermal stress function. Numerical analysis for a FGM plate is carried out and effects of material properties on unsteady thermoelastic behaviors are discussed.

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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • 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).

RANDOM GENERALIZED SET-VALUED COMPLEMENTARITY PROBLEMS

  • Lee, Byung-Soo;Huang, Nan-Jing
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.1-12
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    • 1997
  • Complementaity problem theory developed by Lemke [10], Cottle and Dantzig [8] and others in the early 1960s and thereafter, has numerous applications in diverse fields of mathematical and engineering sciences. And it is closely related to variational inquality theory and fixed point theory. Recently, fixed point methods for the solving of nonlinear complementarity problems were considered by Noor et al. [11, 12]. Also complementarity problems related to variational inequality problems were investigated by Chang [1], Cottle [7] and others.

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An educational effect analysis of a short-term TRIZ program in industry-university cooperation (산학연계 트리즈(TRIZ) 단기 프로그램의 교육적 효과 분석)

  • Han, Jiyoung;Kim, Sung-Hui
    • Journal of Engineering Education Research
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    • v.19 no.2
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    • pp.26-33
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    • 2016
  • A camp program where the theory of inventive problem solving TRIZ is applied to real problems of the industry was developed and taught at a five-day seminar apart from the standard curriculum at a university D in Gyeonggido. This study focuses on the educational effect that the TRIZ method has on the engineering students when their creative problem solving skills are required to solve industry problems on their own with the knowledge from their courses. For five days, the students were educated about TRIZ and assigned a real industry problem "Removal of friction caused by bubble formation in water heating pipelines". By applying TRIZ to the problem, the students developed an "Air removing Air Arrester" which received the evaluation, "with understanding the system architecture and the task objective causes and formation of the problem could be handled which directly helps the company's R&D". In this case, TRIZ offers the students a guideline and knowledge on how to approach problems and as a result the students provided a practical solution. During the process, the TRIZ method instilled confidence in the students and proved to be a motivation. It becomes obvious that this short-term program has a positive effect on students' way of thinking creatively and increasing their problem-solving abilities.

Introduction and application of TRIZ (Theory of Inventive Problem Solving) (트리즈(발명문제해석이론) 소개 및 적용 예)

  • Yoon, Gil-Su
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.05a
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    • pp.69-71
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    • 2003
  • This paper introduces TRIZ. TRIZ is the theory of inventive problem solving which haws started by G.Altschuler since 1946, Russia. TRIZ is applicable for not only mechanical engineering, but also science, economic and pedagogy fields. Characteristics of some kind of softwares for TRIZ method are briefly reviewed Especially Catia with IMC TechOptimizer is studied in detail and it is expected to be applicable well for the Ocean Engineering fields, if applicably applied for IM-Principles, IM-Predictions and IM-Effects, even though it will need much efforts and time to study. As an application example of TRIZ, Self-expandable anchor which is pending for patent is presented briefly.

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