• Title/Summary/Keyword: convergent problem solving

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A Study on Ambidextrous Innovation's Proceeding Elements (양면성 혁신의 선행요인에 대한 연구)

  • Seong, Gi-Uk;Kim, Bong-Seon
    • Proceedings of the Safety Management and Science Conference
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    • 2012.11a
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    • pp.253-268
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    • 2012
  • Recently, creative innovation has become a major topic in management innovation and due to this, various researches on its need and methodologies are being performed. According to previous studies on ambidexterity, explorative innovation is closer to divergent and right-sided brain, while exploitative innovation is closer to convergent and left-sided brain. Topic was to identify preceding element which affects Ambidextrous Innovation. For this topic, 129 Six Sigma projects from 19 different companies were collected. Ambidextrous index from preceding studies was used. This index represents the degree of ambidextrous activation and can be calculated by multiplying cumulative usage of exploitative tools with that of explorative tools. In the project characteristics, simple linear regression result showed leadership degree, team's vitalization degree and leader capability degree have effect in positive direction.

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Using TRIZ about reduction gear noise in transmission (변속기 기어소음 저감을 위한 트리즈의 활용)

  • Heo, Tae-Hyuck;Yoo, Seung-Hyun;Han, Kyoung-Su;Jung, Ung-Rak;Heo, Kwon;Oh, Dae-Jin
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1069-1074
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    • 2007
  • TRIZ is innovative problem solving methodology. It can solve problems by systematical and convergent method, not by the existing divergent method like 'Brainstorming'. In this paper, TRIZ is used for reduction noise from gear in transmission. In order to reduce gear noise, design resources is derived first. According to the derived idea, level and function of system can be defined. After that, we suggest a way to reduce the noise from gear in transmission using 40 Principles and Substance-field analysis of TRIZ.

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Free vibration analysis of plates with steps and internal line supports by using a modified matched interface and boundary method

  • Song, Zhiwei;He, Xiaoqiao;Li, Wei;Xie, De
    • Structural Engineering and Mechanics
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    • v.76 no.2
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    • pp.239-250
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    • 2020
  • This paper deals with free vibration of plates with steps and internal line supports by using a modified matched interface and boundary (MMIB) method. Different kinds of interfaces caused by steps, rigid and elastic line supports and their combinations are taken into account. Detailed MMIB procedures for dealing with these different interfaces are presented. Various examples are chosen to illustrate the accuracy and convergence of MMIB method. Numerical results show that the proposed MMIB is a highly accurate and convergent approach for solving the title issue. This study will extend the application range of MMIB method.

CHEYSHEFF-HALLEY-LIKE METHODS IN BANACH SPACES

  • Argyros, Ioannis-K.
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.83-108
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    • 1997
  • Chebysheff-Halley methods are probably the best known cubically convergent iterative procedures for solving nonlinear equa-tions. These methods however require an evaluation of the second Frechet-derivative at each step which means a number of function eval-uations proportional to the cube of the dimension of the space. To re-duce the computational cost we replace the second Frechet derivative with a fixed bounded bilinear operator. Using the majorant method and Newton-Kantorovich type hypotheses we provide sufficient condi-tions for the convergence of our method to a locally unique solution of a nonlinear equation in Banach space. Our method is shown to be faster than Newton's method under the same computational cost. Finally we apply our results to solve nonlinear integral equations appearing in radiative transfer in connection with the problem of determination of the angular distribution of the radiant-flux emerging from a plane radiation field.

An Analysis of Results of the Creative Attitude Scale in Mathematics (수학에서 창의적 태도의 측정 결과 분석)

  • Kim Boo-Yoon;Lee Ji-Sung
    • The Mathematical Education
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    • v.45 no.2 s.113
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    • pp.155-163
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    • 2006
  • In this paper, we focus on the analysis of the results of CAS-K (Creative Attitude Scale-Korea) including 33 items of 7 factors. Using the analysis gives us the information about students' creative attitude for each factor. We introduce three methods of the analysis about the results of CAS-K; total scores analysis, mean value of each factor analysis, and CAS-K map analysis. We develop the CAS-K map based on the mean value of each factor and three categories of factors. These categories are divergent attitude (fluency, appropriateness), problem solving attitude (positiveness, independency, concentration), and convergent attitude (convergency, accuracy). This analysis of the results of CAS-K can be a source of creative attitude to foster mathematical creativity.

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Free vibration analysis of beams with various interfaces by using a modified matched interface and boundary method

  • Song, Zhiwei;Li, Wei;He, Xiaoqiao;Xie, De
    • Structural Engineering and Mechanics
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    • v.72 no.1
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    • pp.1-17
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    • 2019
  • This paper proposes a modified matched interface and boundary (MMIB) method to analyze the free vibration of beams with various interfaces caused by steps, intermediate rigid and elastic supports, intermediate concentrated masses and spring-mass systems, etc. A new strategy is developed to determine the parameters in the iterative computation of MMIB. The MMIB procedures are established to deal with boundary conditions and various interface conditions, which overcomes the shortcoming of the traditional MIB. A number of examples are utilized to illustrate the performance of MMIB method. Numerical results indicate that the MMIB method is a highly accurate and convergent approach for solving interface problems.

A ROBUST NUMERICAL TECHNIQUE FOR SOLVING NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY LAYER

  • Cakir, Firat;Cakir, Musa;Cakir, Hayriye Guckir
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.939-955
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    • 2022
  • In this paper, we study a first-order non-linear singularly perturbed Volterra integro-differential equation (SPVIDE). We discretize the problem by a uniform difference scheme on a Bakhvalov-Shishkin mesh. The scheme is constructed by the method of integral identities with exponential basis functions and integral terms are handled with interpolating quadrature rules with remainder terms. An effective quasi-linearization technique is employed for the algorithm. We establish the error estimates and demonstrate that the scheme on Bakhvalov-Shishkin mesh is O(N-1) uniformly convergent, where N is the mesh parameter. The numerical results on a couple of examples are also provided to confirm the theoretical analysis.

A Study on the Elementary Informatics Curriculum Design Through Future Competency Analysis (미래 역량 분석을 통한 초등 정보교과 구성 방향성 탐색)

  • Choi, Eunsun;Park, Namje
    • Journal of The Korean Association of Information Education
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    • v.25 no.2
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    • pp.249-264
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    • 2021
  • Many countries design and implement informatics curriculum based on core competencies to respond to the demands of development and reform in rapidly changing times. In this paper, we developed the core competencies framework of elementary information education by comparing and analyzing the core competencies and suggested the direction of the composition of elementary informatics subjects. We found that social-emotional skills, communication, creativity, responsibility, culture and ethics, problem-solving, collaboration and abstract competencies overlapped among the capabilities presented by each country and institution, and computational thinking and information technology utilization skills in Korea. Therefore, we proposed to reflect the core competencies of the framework in the elementary informatics curriculum. Moreover, we also suggested enhancing problem-solving skills, strengthening social responsibility and cultivating convergent skills to organize the curriculum. We hope that this thesis will expand the necessity of organizing an elementary information curriculum that reflects core competencies in the 2022 revised curriculum.

STEAM Education considering the Level of Cognitive Development of Students in order to Cultivate Creative Convergence Talents (창의적 융합인재양성을 위해 학생들의 인지발달 수준을 고려한 융합인재교육)

  • Ahn, Sun Kyung;Kwak, Ock Keum;Jeon, Byeong-Gyun;Park, Jong Keun
    • The Journal of the Convergence on Culture Technology
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    • v.7 no.4
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    • pp.527-535
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    • 2021
  • The STEAM education was applied to science high school students, and changes in perceptions of students and teachers were investigated after class treatment. By the results of the student's perception survey, very positive results were found in increasing problem-solving capabilities, educational satisfaction, etc. More than 98% of students said they would continue to participate in STEAM education classes. Meanwhile, the lack of time for class activities put a burden on students to complete the problems during class. Especially nanoscience content and activities were properly organized in consideration of the level of cognitive development of the students. In addition, as a result of a survey of teachers' perceptions for students, more than 80.0% of teachers responded very positively in 'self-directed learning ability' and 'problem-solving capability', etc.

Development of External Expansion Devices and Convergence Contents for Future Education based on Software Teaching Tools (소프트웨어 교육용 교구 활용 미래 교육을 위한 융합 콘텐츠 및 외부 확장장치 개발)

  • Ju, Yeong-Tae;Kim, Jong-Sil;Kim, Eung-Kon
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.6
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    • pp.1317-1322
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    • 2021
  • Software in the era of the Fourth Industrial Revolution is becoming a key foundation in an intelligent information society. Therefore, it is necessary to study the new direction of manpower training and education that can cope with the times. To this end, the Ministry of Education reorganized the curriculum and is implementing software education based on a logical problem-solving process based on computing thinking skills rather than acquiring general ICT knowledge. However, there is a lack of securing high-quality educational content for software education, and there is also a lack of teaching aids that can be taught in connection with advanced IT technologies. To overcome this, this paper proposes the development of external expansion devices to expand educational content and functions capable of convergent software education such as artificial intelligence using coding robots for software education. Through this, effective software education is possible by improving the curriculum of the existing simple problem-solving method and developing various learning materials.