• Title/Summary/Keyword: principle of problem solving

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Design of Super Water-Saving Toilet System by Solving Physical Contradiction in Theory of Inventive Problem Solving (TRIZ) (창의적 문제 해결 기법의 물리적 모순 해결에 의한, 초절수형 양변기 시스템의 설계)

  • 이홍석;이경원
    • Korean Journal of Computational Design and Engineering
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    • v.6 no.3
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    • pp.193-197
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    • 2001
  • This paper describes the design process of super water-saving toilet bowl system by the theory of inventive problem solving (TRIZ). The physical contradiction in TRIZ is defined far saving water in toilet bowl system with preventing the bad smell from septic tank. The super water-saving toilet bowl system is obtained by using the separation principle in time far resolving the physical contradiction. The real system is made using CAD tools. The consumption of water in the system implemented, is estimated about 3 ιcomparing with 13 ι of that in conventional toilet bowl system.

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The Effect of CAI Program on the Learning Achievement in Mathematics -Focusing on the lesson statistics in the 3rd grade of middle school- (CAI 프로그램의 활용이 학업성취에 미치는 영향 - 중3 통계단원을 중심으로 -)

  • 이재국
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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    • pp.123-131
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    • 2000
  • In order to educate future leaders of the new age, we should help students to increase their basic knowledge, thinking and problem solving ability. It is necessary that we should use multi-media, computer as well as old teaching-learning material to improve students' basic knowledge and to motivate their interest in mathematics in the small-sized Middle School situated on the agricultural and fishery village. In solving this problem, it is ultimately necessary that we should utilize CAI program on the learning achievement in mathematics for the students to understand basic concept, principle, law and to promote teaching-learning process considered on individual different abilities. Therefore, this study is on the effect of students' interest and learning achievement in mathematics when we develop CAI program focusing on the lesson statistics in the 3rd Grade Middle School Mathematics Textbook and explain the concept and principle of statistics through using exact and various techniques of computers

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Research on Cognitive Load Theory and Its Design Implications for Problem Solving Instruction

  • KWON, Sukjin
    • Educational Technology International
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    • v.11 no.1
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    • pp.93-117
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    • 2010
  • The purpose of this study was to develop the problem solving instruction facilitating novice learner to represent the problem. For the purpose, we mainly focused on three aspects of problem solving. First, learner should represent the targeted problem and its solutions for problem solving. Second, from crucial notions of cognitive load theory, learner's mental load should be optimized for problem representation. Third, for optimizing students' mental load, experts may support making their thinking more visible and mapping from their intuition to expert practice. We drew the design principles as follows. First, since providing worked examples for the targeted problem has been considered to minimize analogical errors as well as reduce cognitive load in problem representation at line of problem solving and instructional research, it is needed to elaborate the way of designing. The worked example alternatively corresponds to expert schema that consists of domain knowledge as well as strategies for expert-like problem representation and solution. Thus, it may help learner to represent what the problem is and how to solve it in problem space. Second, principle can be that expert should scaffold learner's self-explanations. Because the students are unable to elicit the rationale from worked example, the expert's triggering scaffold may be critical in that process. The unexplained and incomplete parts of the example should be completed not by expert's scaffold but by themselves. Critical portion of the expert's scaffold is to explain about how to apply and represent the given problem, since students' initial representations may be reached at superficial or passive pattern of example elaboration. Finally, learner's mental model on the designated problem domain should be externalized or visualized for one's reflection as well as expert's scaffolding activities. The visualization helps learner to identify one's partial or incorrect model. The correct model of learner could be constructed by expert's help.

An Efficient Algorithm for a Block Angular Linear Program with the Same Blocks (부분문제가 같은 블록대각형 선형계획문제의 효율적인 방볍)

  • 양병학;박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.12 no.2
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    • pp.42-50
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    • 1987
  • This objective of this paper is to develop an efficient method with small memory requirement for a feed-mixing problem on a micro computer. First this method uses the decomposition principle to reduce the memory requirement. Next, the decomposition principle is modified to fit the problem. Further four different variations in solving subproblems are designed in order to improve efficiency of the principle. According to the test with respect to the processing time, the best variation is such that the dual simplex method is used, and the optimal basis of a previous subproblem is used as an initial basis, and the master problem is (M +1) dimensional. In general, the convergence of solution becomes slower near the optimal value. This paper introduces a termination criterion for a sufficiently good solution. According to the test, 5%-tolerence is acceptable with respect to the relation between the processing time and optimal value.

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Distributed Implementation of Optimal Power Flow (OPF) Based on Auxlliary Problem Principle (Auxiliary Problem Principle 알고리즘에 기초한 최적 조류 계산의 분산 처리 기법에 관한 연구)

  • Hur, Don;Kim, Jin-Ho;Park, Jong-Keun;Kim, Bal-Ho
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.1000-1002
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    • 1998
  • We present an approach to parallelizing optimal power flow (OPF) that is suitable for distributed implementation and is applicable to very large interconnected power systems. The objective of this paper is to find a set of control parameters with which the Auxiliary Problem Principle (Algorithm - APP) can be best implemented in solving optimal power flow (OPF) Problems. We employed several IEEE Reliability Test Systems to demonstrate the alternative parameter sets.

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Design and Fabrication of Super Water-Saving Toilet System by Theory of Inventive Problem Solving (TRIZ) (창의적 문제해결 이론(TRIZ)를 활용한 초절수형 양변기 시스템의 설계 및 제작)

  • Lee, Kyeong-Won;Lee, Hong-Suk
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.376-379
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    • 2001
  • This paper describes the design and fabrication process of super water-saving toilet bowl system by the theory of inventive problem solving (TRIZ). The physical contradiction in TRIZ is defined to obtain the conceptual design for saving water in toilet bowl system with preventing the bad smell from septic tank. The super water-saving toilet bowl system is obtained by using the separation principle in time for resolving the physical contradiction. The consumption of water in the prototype system fabricated, is estimated about $3{\ell}$ comparing with $13{\ell}$ of that in conventional toilet bowl system. The noise from water in the prototype toilet bowl system is decreased by 1/3 of that in conventional toilet bowl system.

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Effect of Learning a Divide-and-conquer Algorithm on Creative Problem Solving (분할 정복 알고리즘 학습이 창의적 문제 해결에 미치는 효과)

  • Kim, Yoon Young;Kim, Yungsik
    • The Journal of Korean Association of Computer Education
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    • v.16 no.2
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    • pp.9-18
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    • 2013
  • In secondary education, learning a computer science subject has the purpose to improve creative problem solving ability of students by learning computational thinking and principles. In particular, learning algorithm has been emphasized for this purpose. There are studies that learning algorithm has the effect of creative problem solving based on the leading studies that learning algorithm has the effect of problem solving. However, relatively the importance of the learning algorithm can weaken, because these studies depend on creative problem solving model or special contents for creativity. So this study proves that learning algorithm has the effect of creative problem solving in the view that common problem solving and creative problem solving have the same process. For this, analogical reasoning was selected among common thinking skills and divide-and-conquer algorithm was selected among abstractive principles for analogical reasoning in sorting algorithm. The frequency which solves the search problem by using the binary search algorithm was higher than the control group learning only sequence of sorting algorithm about the experimental group learning divide-and-conquer algorithm. This result means that learning algorithm including abstractive principle like divide-and-conquer has the effect of creative problem solving by analogical reasoning.

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An Analysis on Elementary Students' Error Types of Word Problem Solving Strategy (초등학생들의 문제해결전략에 따른 오류 유형 분석)

  • Kim, Young A;Kim, Sung Joon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.113-139
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    • 2013
  • The purpose of this study is to provide informations about cause of failures when students solve word problems by analyzing what errors students made in solving word problems and types of error and features of error according to problem solving strategy. The results of this study can be summarized as follows: First, $5^{th}$ grade students preferred the expressions, estimate and verify, finding rules in order when solving word problems. But the majority of students couldn't use simplifying. Second, the types of error encountered according to the problem solving strategy on problem based learning are as follows; In the case of 'expression', the most common error when using expression was the error of question understanding. The second most common was the error of concept principle, followed by the error of solving procedure. In 'estimate and verify' strategy, there was a low proportion of errors and students understood estimate and verify well. When students use 'drawing diagram', they made errors because they misunderstood the problems, made mistakes in calculations and in transforming key-words of data into expressions. In 'making table' strategy, there were a lot of errors in question understanding because students misunderstood the relationship between information. Finally, we suggest that problem solving ability can be developed through an analysis of error types according to the problem strategy and a correct teaching about these error types.

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TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEM

  • Kazmi, Kaleem Raza;Khan, Faizan Ahmad;Shahza, Mohammad
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.675-685
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    • 2010
  • In this paper, we consider a new class of regularized (nonconvex) generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly $\theta$-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex) generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly $\theta$-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14], and Xia and Ding [19].

Problem Solving Ability and Mental Capacity of High School Students under Complex Concept Situations (복합개념상황에서 고등학생들의 문제해결력과 정신용량)

  • Choi, Hyuk-Joon;Park, Ho-Jeen;Kwon, Jae-Sool
    • Journal of The Korean Association For Science Education
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    • v.24 no.5
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    • pp.937-945
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    • 2004
  • In this study, we examined high school students' abilities for solving problems under single concept situations and complex concept situations and their mental capacities. Single concept situations are defined as the problems which can be solved with a scientific concept or principle and complex concept situations are the problems combined with more than 2 single concept situations. 152 11th-graders were participated in this study, who had taken natural science track. FIT 752 was used to measure their mental capacities. And an instrument, made up of six questions under three single concept situations and three complex concept situations, was used to assess students' problem solving abilities. As results, students' problem solving abilities were lower in complex concept situations than in single concept situations. There wasn't significant difference in mental capacities between of students who succeeded in solving problems and ones who did not under both single and complex concept situations. Although students solved the problems of single concept situations, some of them failed in solving the problems of complex concept situations composed of single concept situations which they succeeded in solving. They belonged to relatively low mental capacity group, of which students who failed in solving problems of complex situations had lower metal capacities than ones who succeeded in solving them. According to these results, it could be concluded that mental capacity is one of main variables which have influence on problem solving of complex concept situations composed of solvable single concept situations.