• Title/Summary/Keyword: Differentiation problem solving

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JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS

  • El-Kady, Mamdouh
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.99-112
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    • 2012
  • This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system. The system dynamics are then converted into system of algebraic equations and hence the optimal control problem is reduced to constrained optimization problem. Numerical examples illustrate the robustness, accuracy and efficiency of the proposed method.

Integrating Creative Problem Solving into the Field of Fashion Education

  • Oh, Keunyoung
    • Fashion, Industry and Education
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    • v.15 no.1
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    • pp.59-65
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    • 2017
  • Fashion professionals these days agree that changes in the fashion business are essential and highly value creativity as a genuine source for generating new ideas in fashion products as well as fashion business practices. As fashion professionals deal with problems of which solutions do not exist or that need innovative solutions for brand or product differentiation in the fast-paced environments, interest in creativity and creative problem solving in the field has increased; therefore, fashion educators have realized that there has been an increasing need for incorporating creativity or creative problem solving into the fashion curriculum. In this study, the researcher intended to review previous research on the use of creative problem solving in classrooms in various disciplines including the field of fashion education to provide insights and suggestions for fashion educators to integrate creative problem solving into the fashion education curriculum. Previous attempts to apply creative problem solving to solve issues in fashion classrooms have mostly limited to promoting divergent thinking techniques. It is suggested for fashion educators as well as fashion students to consider creative problem solving as a process consisting of the four distinct stages in which both divergent and convergent thinking techniques should be properly utilized stimulating various thinking strategies.

Development and Analysis of Effect for Problem Solving Model of Student-based (학생중심의 문제해결 모형 개발 및 효과 분석)

  • Jung, Chan Sik;Roh, Eun Hwan
    • Education of Primary School Mathematics
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    • v.17 no.1
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    • pp.57-75
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    • 2014
  • Problem Solving has been emphasized for recent decades, and many research case studies have been used to improve students' Problem Solving abilities. However, the gap of students' abilities can be easily shown after enrollment into school in spite of scholar's attempt to reduce students' level of differentiation. Besides, it is clear that teachers have been too readily assisting students' and not allowing them to acquire the process of Problem Solving, and this may be due to impatience. Therefore, students seem to show signs of the dependent tendency towards teachers and other materials. This tendency easily allows students' to depend on teaching resources without attempting any developmental mechanism of Problem Solving. The presupposition of this study is that every student must solve a problem without any assistance, and also this study is to provide new cognitive strategies for both teachers and students who want to solve their problems by themselves through the process of visible Problem Solving. After applying the student-based problem-solving model by this study, it was found to be effective. Therefore this will lead to the improvement of the Problem Solving and knowledge acquisition of students.

A study on understanding of differentiation (미분의 이해에 대한 연구)

  • Oh, Hye-Young
    • Communications of Mathematical Education
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    • v.32 no.2
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    • pp.131-146
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    • 2018
  • Differentiation with integration is an important subject which is widely applied in mathematics, natural science, and engineering. Derivative is an important concept of differentiation. But students don't understand its concept well and concentrate on acquiring only the skill to solve the standardized calculus problem. So they are poor at understanding of the concept of differentiation. In this study, after making a survey of differentiation on college students, we try to analyze errors which appeared in solving differentiation problem and investigate mathematics process of limiting process inherent in the derivative and historical development about derivative. Thus, we try to analyze the understanding of differentiation and present the results about this.

Effect of Primary Triad Experience on Self-Esteem and Dating Relationship Satisfaction among College Students (대학생이 지각한 원가족 삼인군 경험이 자아존중감 및 이성관계 만족도에 미치는 영향)

  • Eom, Hye-Jeong;Chung, Hye-Jeong
    • Journal of the Korean Home Economics Association
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    • v.44 no.2 s.216
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    • pp.137-152
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    • 2006
  • The major purpose of this study was to investigate the causal effect of the primary triad experiences on dating relationship satisfaction through self-esteem among college students. The primary triad experiences were composed of the parents' differentiation level of couple relationship and the parent-child relationship including family rule, triangulation and communication. Dating relationship satisfaction included such subscales as problem-solving communication, global satisfaction, affection communication and time together. The study data were collected from 382 college students by using self-administered questionnaire method. The results showed that parents' differentiation was positively correlated with self-esteem and all components of dating relationship satisfaction and that family rule was negatively associated only with problem-solving communication. Triangulation was negatively related with most components of dating relationship satisfaction and self-esteem, while parent-child communication showed positive correlations with the same variables. Path analysis results showed that self-esteem mediated the effect of most variables of primary triad experiences on dating relationship satisfaction. In addition, variables of the primary triad experience had direct influences on most components of dating relationship satisfaction. Self-esteem was found to be the most powerful variable influencing dating relationship satisfaction. The findings of the study were discussed in terms of pre-marital education and counseling.

Analysis of Error Types in the Differential Problem Solving Progress (미분 문제해결 과정에서의 오류 분석)

  • Jun, Young-Bae;Roh, Eun-Hwan;Choi, Jung-Sook;Kim, Dae-Eui;Jeong, Eui-Chang;Jung, Chan-Sik;Kim, Chang-Su
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.545-562
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    • 2009
  • Calculus is used in various parts of human life and the basis of social science such as economics and public administration. Yet that is still considered important in the field of science and technology only, and there have been a lot of disputes on that phenomenon. Fortunately, calculus is going to be taught as part of the academic high school second-year mathematics curriculum in and after 2010. Students who face calculus for the first time should be helped not to lose interest in differentiation learning, not to be apprehensive of it nor to avoid it. The purpose of this study was to examine the types of errors made by students in the course of solving differentiation problems in an effort to lay the foundation for differentiation education. A pilot test was conducted after generalized differentiation problems to which students were usually exposed were selected, and experts were asked to review the pilot test. And then a finalized test was implemented to make an error analysis according to an error type analysis framework to serve the purpose.

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The Effect of Organization Culture and Leadership on Competitive Advantage in Food Service Companies (외식기업 문화와 리더십이 경쟁 우위에 미치는 영향)

  • Yoo, Taek-Yong;Heo, Jun
    • Culinary science and hospitality research
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    • v.14 no.4
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    • pp.415-426
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    • 2008
  • In order to cope with the severe business environment and possess the competitive advantage in the food service industry, the effect of organization culture and leadership on competitive advantage in food service companies was investigated. The friendly culture was regarded as important in relation between corporate culture and leadership. And the tendency to participate was shown to be highly correlated to leadership. Leadership and competitive advantage were influenced by the tendency to participate, differentiation and competence. The corporate culture and competitive advantage were affected by the friendly culture, differentiation and competence. Especially, the organization culture was more important than leadership. Therefore, it is necessary to execute the tendency to participate, differentiate products, service and management, and attract customers. And the maintenance of competitive power is required to develop a new product, evaluate customer satisfaction, and improve decision making, problem solving and crisis management.

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Development and Evaluation of an 'Activity and Rest' Integrated Course (혼합학습형태의 『활동과휴식』 통합교과목 개발 및 적용)

  • Oh, Eui Gum;Hwang, Seon Young;Lee, Jae Eun;Song, Eun Kyeung;Kim, Min Jeong
    • Korean Journal of Adult Nursing
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    • v.19 no.4
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    • pp.624-633
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    • 2007
  • Purpose: This study was conducted to develop an integrated undergraduate course including a PBL based on a blended learning strategy, and evaluate learners' responses. Methods: The learning contents of cardiovascular, respiratory, and musculoskeletal medical systems, and nursing diagnoses of 'activity and rest' domain (NANADA's classification II, 2005) were analyzed. Six clinical scenarios with the clients in different life cycles were developed for PBL. Classical lecture and group presentation with on-line self learning were implemented in addition to PBL. The developed course was implemented on 84 junior nursing students in a university for 7 weeks with 5 hours per day, two days per week. Students were asked to complete structured questionnaires including problem solving, critical thinking, and nursing diagnosis differentiation abilities. Results: Learner's evaluation was positive in problem solving skills and in the differentiation ability of nursing diagnoses relevant to an 'activity and rest' functional health pattern. Conclusion: Development and implementation of integrated courses based on a blended learning method need to be continued to enhance students' thinking and self-directed learning abilities. Supporting strategies for individual learners should be added for successful blended learning such as individual on-line feedback and consideration of individual learning outcomes.

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A study on variables that affect women's divorce intention (여성의 이혼의향에 영향을 미치는 관련변인 연구)

  • Seo, Young Suk;Kim, Kyeong Shin
    • Journal of Family Relations
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    • v.23 no.3
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    • pp.77-104
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    • 2018
  • Objectives: This study aimed to examine the general tendencies of women's divorce intention and to analyze the related variables that affect women's divorce intention. It would help explore the conditions for prevention or intervention of divorce. Methods: For this purpose, the structured survey was conducted by 521 married women aged between 20 and 70 living in Jeollanam-do and Gwangju. The data was analysed by SPSS 21.0 program. Results: First, the average score of divorce intention was 2.04, which was lower than the middle. The average score of self-differentiation, marital communication efficiency, reasonable coping, and social support were a bit higher than the median score. Second, the differences in the divorce intention according to the academic background and household income were statistically significant. Third, marital communication efficiency had the biggest effect on divorce intention and it was followed by avoidance-oriented behavior, reasonable coping, support from the local community, self-differentiation, and household income. Conclusion: It is very important to understand the various factors related to divorce intention especially in individual, marital, social aspects. In addition, it is actually required to develop the couple programs about coping strategies, effective couple communication and problem-solving methods. It also have to imply the requirements considering psychological, social aspects such as self-differentiation and social support.

An analysis of errors in understanding the fundamental concepts of function and differentiation for matriculants (대학 입학 예정자들의 함수 및 미분의 기초개념 이해에 대한 오류 분석)

  • Lim, Yeon-Hui;Pyo, Yong-Soo
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.435-457
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    • 2013
  • The purpose of this paper is to discover effective teaching and learning methods for improving low level mathematic matriculants', who passed the early decision program, problem solving abilities by analyzing their error patterns in the special lecture for basic mathematics in P University. In this paper, we examine the matriculants' understanding and errors on the fundamental concepts of function, and continuity and differentiability of function based on the pre-examination. We also measure the their academic achievement in the special lecture for basic mathematics, and analyze the differences of error patterns between pre-test and post-test result on the concepts of continuity and differentiability of function.

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