• 영재교육연구
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• 제15권2호
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• pp.59-76
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• 2005

본 연구의 목적은 수학적 상황에서의 확산적 사고와 비수학적 상황에서의 확산적 사고의 관계를 조사하기 위하여 중학교 2학년 학생 215명을 대상으로 검사를 실시하여 자료를 분석하였다. 자료 분석은 빈도, 퍼센트, t-검증과 상관 분석을 사용하였다. 본 연구의 결과는 첫 번째, 수학 영재 학생이 일반 학생보다 수학적 상황에서의 확산적 사고(MCPSAT)와 비 수학적 상황에서의 확산적 사고(TTCT)는 통계적으로 유의미하게 높은 점수를 받았다. 두 번째, 여학생이 남학생보다 비 수학적 상황에서의 확산적 사고(TTCT)에서 제목의 추상성을 제외하고 모든 요소에서 통계적으로 유의미하게 높은 점수를 받았다. 세 번째, 남학생이 여학생보다 수학적 상황에서의 확산적 사고에서 유창성과 융통성은 평균이 높게 나타나고 있으나 통계적으로는 유의미하지 않고 여학생이 남학생보다 수학적 상황에서의 확산적 사고에서 독창성의 평균이 높게 나타나고 있으며 통계적으로 유의미하게 나타나고 있다. 네 번째, 수학적 상황과 비 수학적 상황에서의 확산적 사고 점수사이의 상관관계는 통계적으로 유의미하게 나타나고 있으며 중학생 전체에서는 r=.41(p<.05)이고 r=.21에서 r=.56까지 분포하고 있으며 일반 학생은 r=.27(p<.05)이고 r =.07에서 r=.27까지 분포하고 있다. 다섯 번째로 수학 영재학생의 경우는 수학적 상황과 비 수학적 상황에서의 확산적 사고 점수사이의 상관관계는 r=.11이며 통계적으로 유의미하지 않게 나타나고 있다. 이 결과는 수학 영재학생의 경우 수학적 상황과 비 수학적 상황에서의 확산적 사고 점수사이의 상관관계는 거의 0에 가깝다고 할 수 있다. 이것은 수학적 상황에서의 확산적 사고능력은 비 수학적인 상황에서의 확산적 사고 조합된 능력이 아니라 다른 특별한 능력이라고 볼 수 있다. 그러나 본 연구에서 수학 영재 학생들의 사례수가 적어서 수학 영재 학생의 수학적 상황과 비 수학적 상황에서의 확산적 사고 점수 사이의 상관관계가 있다는 주장을 일반화하기에는 충분치 않을 수 있다는 제한점을 가지고 있다.

• 한국과학교육학회지
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• 제32권8호
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• pp.1333-1344
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• 2012

This study aimed to enhance creative problem solving skill by using the Creative Problem Solving (CPS) learning model which was developed based on creative problem solving approach and five essential features of inquiry. The key strategy of the CPS learning model is using real life problem situations to provide students opportunities to practice creative problem solving skill through 5 learning steps: engaging, problem exploring, solutions creating, plan executing, and concepts examining. The science content used for examining the CPS learning model was "matter and properties of matter" that consists of 3 learning units: Matter, Solution, and Acid-Base Solution. The process to assess the effectiveness of the learning model used the experimental design of the Pretest-Posttest Control-Group Design. Seventh grade-students in the experimental group learned by the CPS learning model. At the same time, students at the same grade level in the control group learned by conventional learning model. The learning models and students' prior knowledge levels were served as the independent variables. The creative problem solving skill was classified in to 4 aspects in: fluency, flexibility, originality, and reasoning. The results indicated that in all aspects, the students' mean scores of creative problem solving between students in experimental group and control group were significantly different at the .05 level. Also, the progression of students' creative problem solving skills was found highly progressed at the later instructional periods. When comparing the creative problem solving scores between groups of students with different levels of prior knowledge, the differences of their creative problem solving scores were founded at .05 level. The findings of this study confirmed that the CPS learning model is effective in enhancing the students' creative problem solving skill.

• 농촌계획
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• 제5권2호
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• pp.14-23
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• 1999

This studys concerns with a critical issues of urban and rural integration for rurban development. Todays, many of urban-rural integrated cities are confronted with the negative effects of administrative boundary integration. The first problem is induced from the developmental gaps and different residential demands between the core-city and peripheral-county. The second problem is social-economic and administrative unification costs neglected. The third problem is the environmental pollutions and degradations in peripheral-county by rapid urbanization. The forth problem is the inequality of the public services and regional investments in the urban-rural Integrated cities. The fifth problem is the administrative relation and financial distribution between core-city and residual province when the urban-rural integrated core-city becomes large urban city. The results of the questionnaire analysis as follows. The first point, the preference of administrative boundary integration is different in intra-areas of urban-rural integrated county by it's location. The second point, the diversity of preference of residents depends on theirs job, age, resdential period, education and income level. So, administrative boundary integration must consider the many important factors which affect the socio-economic situations between the core-city and peripheral-county. In conclusion, residents' preference for the admistrative boundary integration depends on their situation without rational approach for macro regional development. In this contexts, comprehensive approach for the urban-rural administrative boundary integration is needed in consistent with rapid change of local government's functions.

• East Asian mathematical journal
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• 제36권2호
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• pp.229-251
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• 2020

Problem Based learning(PBL) is a teaching and learning method to increase mathematical ability and help achieving mathematical concepts and principles through problem solving using the learner's mathematical prerequisite knowledge. In addition, the recent instructional situations or environments have focused on the learner's self construction of his learning and its process. In spite of such a quite attention, it is not easy to apply and execute PBL program actually in class. Especially, there are some difficulties in actually applying and practicing PBL in the areas of mathematics education in not only secondary school but also in college. Its reason is that in order to conduct PBL instruction constantly in real or experimental class there is no more concrete and detailed instructional content during the consistent and long period. However, to whom is related to mathematics education including instructors called scaffolders, investigation and recognition on the degree of the learner's acquisition of mathematical thinking skills and strategies is an very important work. By the reason, in this study, the instructional content was to be explored and developed to be conducted during 15 weeks in one semester, which was based on Problem Based Learning environment by the subject of the theories relevant to mathematics education in the college of education.

• 산업경영시스템학회지
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• 제3권3호
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• pp.35-39
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• 1980

Although the product line produces a large volume of goods in a relatively short time, once the product line is established there are numerous problems that arise in connection with this product line. One of these problems is the problem of balancing operations or stations in terms of equal times and in terms of the times required to meet the desered rate of production. The objective of line balancing is minimizing the idle time on the line for all combinations of work stations subject to certain restrictions. In general, there are two types of line-balancing situations : (1) assembly line balancing and (2) fabrication line balancing. Two approaches to the assembly line balancing problem have been used. The first assumes a filed cycle time and find the optimum number of work stations. The second approach to the assembly line balancing problem assumes the number of work stations to be fixed and systematically coverages on a solution which minimizes the total delay time by minimizing the cycle time. Here the cycle time is determined by the longest station time. In this paper, by using the second approach method, a general mathematical model, problem solutions, and computer program for the assembly line balancing problem is presented. Data used is obtained from the company which has been confronted with many problems arising in connection with their assembly line.

• 한국수학교육학회지시리즈A:수학교육
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• 제49권4호
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• pp.523-540
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• 2010

The purpose of the study were to analyze MathThematics textbooks and Korean middle school mathematics and to investigate the difference among the textbooks in the view of mathematical communication. According to the results, the textbook developers made a variety of efforts to develope students' mathematical communication ability. Students were encouraged to communicate with others about their mathematical ideas or problem solving processes in words or writing by means of discussion, oral report, presentation, journal, etc. MathThematics textbooks provided student self-assessment opportunity to improve student performance in problem solving, reasoning, and communication. In communication assessment, students can assess their use of mathematical vocabulary, notation, and symbols, the use of graphs, tables, models, diagrams and equation to solve problem and their presentation skills. The assessment activities would make a positive impact on the development of students' mathematical communication ability. MathThematics textbooks provided a variety of problem situation including history, science, sports, culture, art, and real world as a topic for communication, however, the researcher found that some of Korean textbooks depends heavily on mathematical problem situations.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제21권1호
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• pp.55-73
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• 2018

본 연구의 목적은 초등학교 4학년 학생들이 그래프가 아닌 언어적 표현이나 대응표, 기하학적 패턴 등으로 표현된 함수 과제에서 연속적으로 변하고 있는 두 양의 변화에 대한 공변추론 수준을 파악하고 공변추론 수준 및 추론 과정에 나타나는 특징을 분석하는 것이다. 연구 참여자들은 검사지를 통해 선정된 초등학교 4학년 학생 7명이며, 선정된 학생들의 학습지 분석 및 면담을 실시하였다. 연구 결과 학생들의 공변추론 수준은 5가지로 파악되었으며, 공변추론 수준에 따라 양적 문제 상황에서 다른 추론과정을 보였다. 특히, 공변추론 수준이 낮은 학생들은 두 변수의 파악에 어려움을 가지고 있었고 대응표를 중심으로 문제를 해결한 반면, 연속공변 수준의 학생들은 시간 변수의 흐름을 생각할 수 있다는 차이가 있었다. 연구 결과로부터 공변추론 관련 다양한 과제의 제시와 각 과제의 의미에 대한 교사들의 탐구가 필요함 등을 시사점으로 제시하였다.

• 한국초등과학교육학회지:초등과학교육
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• 제38권1호
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• pp.73-86
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• 2019

The purpose of this study is to investigate the characteristics of problem solving strategies that gifted students use in science inquiry problem. The subjects of the study are the notes and presentation materials that the 15 team of elementary and junior high school students have solved the problem. They are a team consisting of 27 elementary gifted and 29 middle gifted children who voluntarily selected topics related to dimple among the various inquiry themes. The analysis data are the observations of the subjects' inquiry process, the notes recorded in the inquiry process, and the results of the presentations. In this process, the knowledge related to dimple is classified into the declarative knowledge level and the process knowledge level, and the strategies used by the gifted students are divided into general strategy and supplementary strategy. The results of this study are as follows. First, as a result of categorizing gifted students into knowledge level, six types of AA, AB, BA, BB, BC, and CB were found among the 9 types of knowledge level. Therefore, gifted students did not have a high declarative knowledge level (AC type) or very low level of procedural knowledge level (CA type). Second, the general strategy that gifted students used to solve the dimple problem was using deductive reasoning, inductive reasoning, finding the rule, solving the problem in reverse, building similar problems, and guessing & reviewing strategies. The supplementary strategies used to solve the dimple problem was finding clues, recording important information, using tables and graphs, making tools, using pictures, and thinking experiment strategies. Third, the higher the knowledge level of gifted students, the more common type of strategies they use. In the case of supplementary strategy, it was not related to each type according to knowledge level. Knowledge-based learning related to problem situations can be helpful in understanding, interpreting, and representing problems. In a new problem situation, more problem solving strategies can be used to solve problems in various ways.

• 대한수학회지
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• 제33권4호
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• pp.1039-1046
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• 1996

In the theory of partial differential equations with given initial values and boundary values one usually investigates to examine the well-posedness, that is, the unique existence of the solution as well as its continuous dependence on the data. This theory is strong enough for us to determine the situation anywhere and anytime provided that the initial data are actually given. However, in many cases the data are not completely known for us. Then in those situations arise the new problem to determine the unknown initial data by taking other conditions for the solutions.

• 대한산업공학회지
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• 제20권1호
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• pp.3-13
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• 1994

The problem of selecting the optimal target values in a canning process is considered for situations where there is a linear shift in the mean of the content of a can which is assumed to be normally distributed with known variance. The target values are initial process mean, length of resetting cycle and controllable upper limit. Profit models are constructed which involve give-away, rework, and resetting costs. Methods of finding the optimal target values are presented and a nemerical example is given.