• Title/Summary/Keyword: Problem Solving Theory

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The Analysis of Mathematical Abilities and Mathematization in the Mathematising Experience Instruction for Elementary Students (수학화 경험 수업에서 나타난 초등학생의 수학적 능력 및 수학화 분석)

  • Kim Yoon-Jin;Kim Min-Kyeong
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.345-365
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    • 2006
  • This study, to effectively teach the concepts, principles and problem solving ability of the 2nd graders' learning of numbers and operations, offers realistic problem situation and focuses on the learning based on 'mathematization', one of the most important principles of RME (Realistic Mathematics Education) which is the mathematics education trend of Netherlands influenced by Freudenthal's theory. The instruction is applied to forty-one students of the 2nd grader for six weeks in twelve series in an elementary school, located in Seoul. To investigate the effects of the mathematising experience instruction for improving mathematical abilities, the group takes tests before and after the instruction. Also the qualitative analysis on the students' mathematising aspects through students' output at the instruction process is taken into account to evaluate the instruction's effects. The result shows that the mathematising experience instruction for improving mathematical abilities is proved to improve students' understanding of mathematical concepts and principles and their problem solving ability in learning numbers and operations after carrying out this instruction. Also the result indicates that students' mathematising aspects are mostly horizontal and vertical mathematization.

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Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation (영재교육을 위한 수학적 모델링 프로그램의 개발 및 적용 :보로노이 다이어그램과 들로네 삼각분할을 중심으로)

  • Yu, Hong-Gyu;Yun, Jong-Gug
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.257-277
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    • 2017
  • The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

A TRIZ-Based Solution to Problems in Red Ginseng Processing (트리즈를 활용한 홍삼 제조과정에서의 문제해결)

  • Kim, Eun Jung;Kim, Moo Woong;Kim, Min Jung;Kam, Ju Sik;Kim, Kyu Il;Jang, Sang Min;Lee, Hye Young;Hyun, Byung-Hwan
    • Journal of Korea Technology Innovation Society
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    • v.16 no.2
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    • pp.408-423
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    • 2013
  • As the word 'creation and innovation' has been the keyword in success, there has been an increasing interest in TRIZ (Theory of inventive problem solving). So far, TRIZ has been applied to electronics and mechanics as the prime mover of product innovation. This study is to explore the applicability of TRIZ to the biotechnology sector, a future emerging technologies, especially to problem solving and innovative research and development. This study was focused on red ginseng processing. Problem causes and contradictions were identified with regard to processing-related problems, and 'the 40 principles of invention' were applied to problem solving. Steamed fresh ginseng is called 'Red ginseng'. Cracks in red ginseng cause the loss of active ingredients and also are not of merchantable quality. In the 40 principles of invention, applicable ones were finally selected through contradiction matrix and brainstorming, the tools of TRIZ. With experiments, effective methods were suggested to prevent red ginseng from cracking in a steaming process.

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A Study on Making Jisuguimundo as a Problem Solving Task for Elementary Students (초등학생을 위한 문제해결 과제로서의 지수귀문도의 해결 방안 연구)

  • Park, Kyo-Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.77-93
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    • 2011
  • Jisuguimundo(地數龜文圖) is a magic hexagon created by Suk-Jung Choi in his book about three hundreds years ago in Korea. Recently attention is focused on jisuguimundo, and it is known that jisuguimundos exist when magic number is from 77 to 108, however a general method making jisuguimundos is not known so far. Up to now, methods of making jisuguimundos using computers are known. In this study, a method making jisuguimundos is suggested using pairs of two numbers with sum p and q ($p{\neq}q$) alternately when magic number is from 88 to 92, and from 94 to 98, without using computer in elementary math class as a task for problem solving. Mathematical theory is introduced for this method, and jisuguimundos are presented which are found out through this method. Elementary students are expected to make their own jisuguimundo using this method.

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A Study on the Development of Educational Program for Invention on the Basis of TRIZ (TRIZ(트리즈)를 활용한 발명교육프로그램 개발 연구)

  • Cho, Seung-ho;Jung, Jong-wan
    • 대한공업교육학회지
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    • v.31 no.1
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    • pp.86-109
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    • 2006
  • The purpose of this study was to reform the existing state of educational program for invention by TRIZ, theory of inventive problem solving. Major findings of the study were follows : First, students had a chance to get a inventive solution from the problem they were inventing. Second, the new educational program for invention was developed according to the procedures on the standpoint of pedagogy with the TRIZ. Third, according to the survey of the new educational program for invention has found that as follows: -Students were of help to know the invention, to be beneficial, but the basic concepts of TRIZ were not easy to them. -Student wished to advice their colleague the new program for invention, because they had chances to overcome a fixed idea, extend creativity and think. Fourth, TRIZ, the systematic method of problem solving for invention, provide students with the thinking method to overcome fixed ideas and the tool of knowledge.

An Ecological Psychology of Gameplay : Case Study of Smart Phone App Game (게임플레이의 생태학적 심리학 : 스마트폰 앱 게임을 중심으로)

  • Song, Seung-Keun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.6
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    • pp.1502-1508
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    • 2013
  • In aspect of HCI(Human Computer Interaction) gameplay is the procedure to solve the problem that gamers encounter in order to generate or discover a new rule to achieve gamers' goal. The goal of this research is to investigate the structure and understand the gameplay in aspect of affordance from ecological psychology rather than the traditional problem solving theory. This research selects App. game based on smart phone. Expert gamers participated in this experiment. We record all gameplay using audio and video device. We conducted protocol analysis as qualitative method based on the verbal report and action protocol during game playing. As result, gameplay based on affordance includes selection and relation. We found that subjects selected one thing at once with attention. Moreover, we found that there were two behaviors : exploratory action and performatory action. We believe that exploration, action, and transformation for affordance appear. The result of this research imply to suggest design guideline for game design methodology when designers develop game.

A Study on the Socialization Theory of Social Welfare Institutions -From the Point of View of the Community Welfare in Japan- (사회복지시설의 사회화론에 관한 일고찰 -일본 지역복지의 관점에서-)

  • Lee, Byoung-Rock
    • Korean Journal of Social Welfare
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    • v.56 no.1
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    • pp.181-201
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    • 2004
  • It has been said that there were many problems in a social welfare institution. Community welfare in Japan is being presented as an alternative solving these problems and underlying theories are deinstitutionalization, normalization, and community care. Recently, in Korea, these alternatives are connected with the logic that social welfare institutions are useless. But if we think the inborn duty of the social welfare institution, we can know the logic problem of these theories. Also, 'the socialization theory of social welfare institutions' has been presented as a solving method. But studies in Korea are having a partiality only to opening to community and are researched separately from community welfare. Under these problem perceptions, this study examined the construction contents of the community welfare in Japan, the relation of community welfare and social welfare institutions, the relation of the community welfare and the socialization theory of social welfare institutions, and the concept and content of the socialization theory of social welfare institutions. This study investigated the discussions in Japan, for studies in Korea are generally based on those of Japan and the domestic community welfare policy has been influenced immensely by Japan. The result of this study is as follows. Firstly, not the social welfare institution in a category of community welfare is excluded, but is prescribed as an essential post, a premise condition, and a composition post of the community welfare. Secondly, the socialization theory of social welfare institutions is also discussed in a category of the community welfare and in the side of community welfare development. Thirdly, the socialization theory of social welfare institutions is presented in the side of not only opening to community, but also a basic practice theory of the social welfare institution reformation including that.

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Vibrations of long repetitive structures by a double scale asymptotic method

  • Daya, E.M.;Potier-Ferry, M.
    • Structural Engineering and Mechanics
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    • v.12 no.2
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    • pp.215-230
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    • 2001
  • In this paper, an asymptotic two-scale method is developed for solving vibration problem of long periodic structures. Such eigenmodes appear as a slow modulations of a periodic one. For those, the present method splits the vibration problem into two small problems at each order. The first one is a periodic problem and is posed on a few basic cells. The second is an amplitude equation to be satisfied by the envelope of the eigenmode. In this way, one can avoid the discretisation of the whole structure. Applying the Floquet method, the boundary conditions of the global problem are determined for any order of the asymptotic expansions.

A Bottleneck-Based Production Scheduling under Fuzzy Environment (퍼지 환경하에서 품질수준 확보를 위한 일정계획에 관한 연구 -Bottleneck을 고려한 생산라인에서-)

  • Lee, Sang Wan;Shin, Dae Hyuk
    • Journal of Korean Society for Quality Management
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    • v.23 no.3
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    • pp.156-166
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    • 1995
  • Job shop scheduling problem is a complex system and an NP-hard problem. Thus it is natural to look for heuristic method. We consider the multi-part production scheduling problem for quality level in a job shop scheduling under the existence of alternative routings. The problem is more complex if the processing time is imprecision. It requires suitable method to deal with imprecision. Fuzzy set theory can be useful in modeling and solving scheduling problems with uncertain processing times. Li-Lee fuzzy number comparison method will be used to compare processing times that evaluated under fuzziness. This study presents heuristic method for quality level in bottleneck-based job shop scheduling under fuzzy environment. On the basis of the proposed method, an example is presented.

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Clinical Dental Hygiene Education and Practice based on Dental Hygiene Process (치위생 과정 기반의 임상 치위생 교육과 실무)

  • Cho, Young-Sik
    • Journal of dental hygiene science
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    • v.11 no.3
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    • pp.135-154
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    • 2011
  • Dental hygiene was originated from dentistry and dental hygiene knowledge was a component of dental knowledge body. Since the late 1980s dental hygiene theory was began to develop. Nursing theories such as metaparadigm, nursing process and human need theory affected theory development as dental hygiene process. Dental hygiene process provides a framework for high quality dental hygiene care. Dental hygiene process include five phases; assessment, dental hygiene diagnosis, dental hygiene planning, implementation, evaluation. Dental hygiene process of care is recognized as standard for dental hygiene education and clinical dental hygiene practice. Dental hygiene practice has moved from auxiliary model to professional model. Critical thinking skill and disposition are necessary to provide evidence-based dental hygiene care using dental hygiene process as clinical process and critical thinking process. Critical thinking, problem solving and evidence-based practice must be integrated into dental hygiene process for quality dental hygiene care.