• Title/Summary/Keyword: the variety of problem solving

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A Scheme to Diversify of Mathematics Olympiads Types (수학올림피아드 유형의 다변화 방안)

  • Nam, Seung-In
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.73-83
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    • 2009
  • Mathematics Olympiad aims to identify and encourage students who have superior ability in mathematics, to enhance students' understanding in mathematics while stimulating interest and challenge, to increase learning motivation through self-reflection, and to speed up the development of mathematical talent. Participating mathematical competition, students are going to solve a variety of types of mathematical problems and will be able to enlarge their understanding in mathematics and foster mathematical thinking and creative problem solving ability with logic and reasoning. In addition, parents could have an opportunity valuable information on their children's mathematical talents and guidance of them. Although there should be presenting diversified mathematical problems in competitions, the real situations is that resent most mathematics Olympiads present mathematical problems which narrowly focus on types of solving problems. In order to diversifying types of problems in mathematics Olympiads and making mathematics popular, this study will discuss a Olympiad for problem solving ability, a Olympiad for exploring mathematics, a Olympiad for task solving ability, and a mathematics fair, etc.

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A Development of PBL based Linetracer Robot Programming Instructional Method at Elementary school (초등 교육에서의 PBL기반 라인트레이서 로봇프로그래밍 교육방법 개발)

  • Kwon, Dai-Young;Hur, Kyeong;Lee, Won-Gyu
    • The Journal of Korean Association of Computer Education
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    • v.13 no.3
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    • pp.13-23
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    • 2010
  • The revised 7th education course of information implies that students use variety of information devices to solve the common problems and it also includes the programming education for improving problem-solving abilities. Not only improving problem-solving abilities but also developing thinking skill is expected in programming education. However, traditional programming education is teacher-oriented and focused on language syntax. Accordingly, students have heavy cognitive load and it decrease students' interest of programming. Therefore, in this paper, a instructional method of programming using educational robot is proposed to improve interest of elementary students in concretive operation stage for effectiveness of programming education. Additionally, results of experiments show that proposed robot programming instructional method can be applied in elementary education.

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Species Adaptation Evolutionary Algorithm for Solving the Optimization Problems

  • Lee, Dong-Wook;Sim, Kwee-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.233-238
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    • 2003
  • Living creatures maintain their variety through speciation, which helps them to have more fitness for an environment. So evolutionary algorithm based on biological evolution must maintain variety in order to adapt to its environment. In this paper, we utilize the concept of speciation. Each individual of population creates their offsprings using mutation, and next generation consists of them. Each individual explores search space determined by mutation. Useful search space is extended by differentiation, then population explorers whole search space very effectively. If evolvable hardware evolves through mutation, it is useful way to explorer search space because of less varying inner structure. We verify the effectiveness of the proposed method by applying it to two optimization problems.

Relationship Between Problem Finding Ability and Problem Solving Ability in Chemistry (문제발견 능력과 화학 문제해결 능력과의 관계)

  • Ryu, Si-Gyeong;Park, Jong-Seok
    • Journal of the Korean Chemical Society
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    • v.52 no.2
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    • pp.179-185
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    • 2008
  • purpose of this study is to investigate the relationship between high school students' Problem Finding Ability (PFA) and chemistry problem solving ability. To achieve this purpose, the interrelationship between the results of PFA in ill-structured scientific problem situation and the scores of sham examination in chemistry I of College Scholastic Ability Test (CSAT) was analyzed. The results of this study turned out to be as follows: There was correlation (r=.346) between the score of PFA test and that of sham examination in chemistry I of the CSAT. And a little correlation (r=.390) between PFA and students application ability which is one of the sub factors in sham examination of the CSAT. Especially, in the high achievers group there was high correlation (r=.446) between students fluency which is one of the sub factors in PFA, and application ability. This implies that the application ability of high achievers has something to do with their PFA for a variety of problems. As for the PFA between high achievers and low achievers, there was no significant difference (t=.830, p=.411).

A Unified Approach to Exact, Approximate, Optimized and Decentralized Output Feedback Pole Assignment

  • Tarokh, Mahmoud
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.939-947
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    • 2008
  • The paper proposes a new formulation of the output feedback pole assignment problem. In this formulation, a unified approach is presented for solving the pole assignment problem with various additional objectives. These objectives include optimizing a variety of performance indices, and imposing constraints on the output feedback matrix structure, e.g. decentralized structure. Conditions for the existence of the output feedback are discussed. However, the thrust of the paper is on the development of a convergent pole assignment algorithm. It is shown that when exact pole assignment is not possible, the method can be used to place the poles close to the desired locations. Examples are provided to illustrate the method.

A Study on the Development Evaluation Item to extend mathematical creativity (수학 창의성 신장을 위한 평가 문항 개발 방안)

  • Nam, Seung-In
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.271-282
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    • 2007
  • Producing tools for actively meeting social needs in a radical changing society due to the development of modern technology has been shifted from physical ability to intelligent ability. The prominence of educating creativity is perceived as a good preparation in order to deal with them. Considered that assessment which is systematic activity to collect, analyze, diagnose, and judge information of a series of instruction practices is means to impart evidence and feedback of teaching learning practices, education and assessment is placed on reciprocal relationship. Nevertheless, there has been some tendency of neglect of assessment, comparing education for upbringing creativity. In this paper model of pencil and paper problem is discussed focusing on the sub-components of creativity and problem solving as one of the variety of means to extend mathematical creativity.

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A Hybrid Heuristic Approach for Supply Chain Planningwith n Multi-Level Multi-Item Capacitated Lot Sizing Model (자원제약하의 다단계 다품목 공급사슬망 생산계획을 위한 휴리스틱 알고리즘)

  • Shin Hyun-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.1
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    • pp.89-95
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    • 2006
  • Planning distributed manufacturing logistics is one of main issues in supply chain management. This paper proposes a hybrid heuristic approach for the Multi-Level, multi-item Capacitated Lot Sizing Problem (MLCLSP) in supply chain network. MLCLSP corresponds to a mixed integer programming (MIP) problem. With integer variable solutions determined by heuristic search, this MIP problem becomes linear program (LP). By repeatedly solving the relaxed MIP problems with a heuristic search method in a hybrid manner, this proposed approach allocates finite manufacturing resources fur each distributed facilities and generates feasible production plans. Meta heuristic search algorithm is presented to solve the MIP problems. The experimental test evaluates the computational performance under a variety of problem scenarios.

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Concept Analysis of Insight (통찰(Insight)의 개념 분석)

  • Hwang, Ji-Won
    • Journal of Korean Academy of Nursing
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    • v.37 no.3
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    • pp.353-364
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    • 2007
  • Purpose: This study is aimed to analyze and clarify the ambiguous concept of insight. Method: This study used the process of Walker & Avant's concept analysis. Results: Insight can be defined in terms of its attributes as follows: Insight 1) comes as a release to the tension of inquiry, (2) is the outcome of the process to discover the overall structure of the problem situation and psychologically restructurize it, (3) comes suddenly and unexpectedly, (4) is to clearly perceive the solution of the abstract problem, and (5) promotes obtaining another new insight. The antecedents of insight include inquiry that can not be resolved easily and also a state where basic knowledge related to the inquiry can be utilized. The consequence of the insight is (1) a new judgement is made, (2) the problem is solved, (3) previous insight is retained and transferred, and it also facilitates the generation of fresh insight, and (4) it passes into the habitual texture of one's mind. Conclusion: Nurse educators need to facilitate nursing students and nurses to accumulate systematically, various information that can become the basis of insight and provide them with an opportunity to experience a variety of problems. In addition, it is important to provide questions to learners as an education strategy to allow them to gain insight into problem solving. From now on, insight needs to be studied in conjunction with critical thinking and questioning in order to enhance nurses' ability to resolve problems.

An Efficient Model Based on Smoothed ℓ0 Norm for Sparse Signal Reconstruction

  • Li, Yangyang;Sun, Guiling;Li, Zhouzhou;Geng, Tianyu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.4
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    • pp.2028-2041
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    • 2019
  • Compressed sensing (CS) is a new theory. With regard to the sparse signal, an exact reconstruction can be obtained with sufficient CS measurements. Nevertheless, in practical applications, the transform coefficients of many signals usually have weak sparsity and suffer from a variety of noise disturbances. What's worse, most existing classical algorithms are not able to effectively solve this issue. So we proposed an efficient algorithm based on smoothed ${\ell}_0$ norm for sparse signal reconstruction. The direct ${\ell}_0$ norm problem is NP hard, but it is unrealistic to directly solve the ${\ell}_0$ norm problem for the reconstruction of the sparse signal. To select a suitable sequence of smoothed function and solve the ${\ell}_0$ norm optimization problem effectively, we come up with a generalized approximate function model as the objective function to calculate the original signal. The proposed model preserves sharper edges, which is better than any other existing norm based algorithm. As a result, following this model, extensive simulations show that the proposed algorithm is superior to the similar algorithms used for solving the same problem.

A Case Studies for the Recovery of Mathematics Education: Focusing on the Utilization of Teachers' Mathematical Metaphors and the Structure of Teacher Discourse (수학 교육회복을 위한 사례 연구: 교사의 수학적 은유 활용과 교사 담론의 구조를 중심으로)

  • Choi, Sang-Ho
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.397-415
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    • 2022
  • The purpose of this study is to analyze the discourse structure of teachers that can help students participate in class by using mathematical metaphors that can arouse students' interest and motivation. In order to achieve this goal, we observed a semester class of a career teacher who practiced pedagogy that connects students' experiences with mathematical concepts to motivate students to learn and promote participation. Among the metaphors that the study target teachers used in a variety of mathematical concepts and problem-solving processes during the semester, we extracted the two class examples that can help develop teaching methods using metaphors. Representatively selected two classes are one class example using metaphors and, the other class example using metaphors and expanding and applying problems. As a result of analysis, the structure of teacher discourse that uses metaphors and expands and applies problems by linking students' experiences with mathematical content was found to help solve a given problem and elaborate mathematical concepts. As a result of the analysis, the discourse structure of teachers using mathematical metaphors based on communication with students could provide implications for the development of teaching methods for the recovery of mathematics education.