• Honam Mathematical Journal
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• v.28 no.1
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• pp.165-183
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• 2006

In this article, we try to show that concepts and principles in probability can be taught vividly through the use of the Monte Carlo method to students who have difficulty with probability in the classrooms. We include some topics to demonstrate the application of a wide variety of real world problems that can be addressed.

• The Mathematical Education
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• v.54 no.1
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• pp.65-81
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• 2015

The purpose of this study is to investigate the international trends of how the core competencies are reflected in mathematics curriculum, and to find the implications for the revision of Korean mathematics curriculum. For this purpose, the curriculum of the 9 countries including the U.S., Canada(Ontario), England, Australia, Poland, Singapore, China, Taiwan, and Hong Kong were thoroughly reviewed. It was found that a variety of core competencies were reflected in mathematics curricula in the 9 countries such as problem solving, reasoning, communication, mathematical knowledge and skills, selection and use of tools, critical thinking, connection, modelling, application of strategies, mathematical thinking, representation, creativity, utilization of information, and reflection etc. Especially the four most common core competencies (problem solving, reasoning, communication, and creativity) were further analyzed to identify their sub components. Consequently, it was recommended that new mathematics curriculum should consider reflecting various core competencies beyond problem solving, reasoning, and communication, and these core competencies are supposed to combine with mathematics contents to increase their feasibility. Finally considering the fact that software education is getting greater attention in the new curriculum, it is necessary to incorporate computational thinking into mathematics curriculum.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.231-242
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• 1999

The focus of this development program is to input multimedia materials into learning according to the trend of recent social changes and to maximize the learning effect for improving problem-solving by offering familiar teaching materials. The expecting effects of this study are as follows: 1. This program helps students acquire mathematical concepts and principles about circular equation through concrete examples using a variety of media - text, voice, sound, and animation and so on - , makes it possible individual learning which was difficult for students to expect at the existing multitude class as progressing learning each unit on the screen and the perfect learning by offering FEED BACK 2. This program varied the difficulty of learning contents to learn according to learning abilities of learners by using animation and making the most of merits of computer and was able to improve learning effect by studying in a mutual way with managing learning procedure nonsuccessively. 3. Class using CAI program about developed circular equation unit has a positive effect on improving problem-solving by becoming from teacher centered class to student centered one. 4. This program makes students understand the contents of auxiliary learning in multimedia computer more efficiently, and cultivate abilities to adopt in accordance with changes in the future society by forming familiar computer mind.

• Journal of the Korean School Mathematics Society
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• v.3 no.1
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• pp.189-200
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• 2000

The purpose of this thesis is that the students understand the sentence stated math problems closely related to the real life and adapted the right solving strategies try to find the solution to a problem. The following research problem were proposed. 1. How repeated thinking lessons develop the understanding of problems and influence the usage of correct problem solving strategies and extensions of problem solving. 2. There are how much differences of achievement for each type of sentence stated problems by using comparative analysis of upper class, intermediate class, and lower class for each level between the experimental and comparative classes. In order to conduct this research the classes were divided into three different level - upper class, intermediate class and lower class. Each level include an experimental class and a comparative class. The two classes (experimental class and comparative class) of the same level were tested on the basis of class division record with the experimental class repeated learning papers for two weeks were used to guide the fixed thinking algorism for each sentence stated math problems. Eight common problems were chosen from a variety of textbooks : number calculation problems, velocity-distance-time problems, the density of a mixture, benefit problems, distribution problems, problems about working, ratio problems, the length of a figure problems. After conducting this research experiment The differences in achievement level between the experimental class and comparative class, were compared and analyzed through achievement tests made from the achievement test papers with seven problems, which were worth seventy points (total score). The conclusions of this thesis are as follows: Firstly, leaning activities through the usage of repeated learning papers for each level class produce an even development of achievement level especially in the case of the upper class learners, they have particular differences (between experimental class and comparative class) compared to the intermediate level and lower classes. Secondly, according to the analysis about achievement development each problems, learners easily accept the strategies of solution through the formula setting up to the problem of velocity -distance-time, and to the density of the mixture they adapted the picture drawing strategies interestingly, However each situation requires a variety of appropriate solution strategies. Teachers will have to employ other interesting solution strategies which relate to real life.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.1-17
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• 2003

In this paper, we study the methods of improving an ability of a creative solving mathematical problem belonging to an educational system which every province office of education has adopted for the mathematically talented students. Especially, we give an attention on a preferential reaction in teaching styles according to student's LQ., the relationship between student's LQ. and an ability of creative solving mathematical problems, and seeking for an appropriative teaching methods of the improvement ability of a creative solving problem. As results, we have the followings; 1. The group having excellent students who have a higher intelligential ability prefers inquiry learning which is composed of several sub-groups to a teacher-centered instruction. 2. The correlation coefficient between student's LQ. and an ability creative solving of mathematical is not high. 3. Although the contents and the model of thematic inquiry learning don't have a great influence on the divergent thinking (ex. fluency, flexibility, originality), they affect greatly the convergent thinking - a creative mathematical - problem solving ability. Accordingly, our results show that we should use a variety of mathematical teaching materials apart from our regular textbooks used in schools to improve a creative mathematical problem solving ability in the process of thematic inquiry learning. Also we can see that an inquiry learning which stimulates student's participation and discussion can be a desirable model in the thematic mathematical classroom activities.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2002.10a
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• pp.203-210
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• 2002

The great advantages on the Genetic Algorithms(GAs) are ease of implementation, and robustness in solving a wide variety of problems, several GAs based optimization models for solving complex structural problems were proposed. However, there are two major disadvantages in GAs. The first disadvantage, implementation of GAs-based optimization is computationally too expensive for practical use in the field of structural optimization, particularly for large-scale problems. The second problem is too difficult to find proper parameter for particular problem. Therefore, in this paper, a Distributed Hybrid Genetic Algorithms(DHGAs) is developed for structural optimization on a cluster of personal computers. The algorithm is applied to the minimum weight design of steel structures.

• Journal of Educational Research in Mathematics
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• v.12 no.1
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• pp.17-27
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• 2002

To solve the addition word problems provides young children the chance to learn about and exercise in problem solving. This paper focuses on two aspects to be considered in addition word problems: the homogeneity of objects and the variety of contexts. The homogeneity of objects involved in addition word problems has to be kept in the following reasons: concept of unit, effectiveness of information, prevention of inappropriate variety, inconsistency of mathematics with real world, continuity between elementary and secondary mathematics. And for the variety of contexts, the additive structure proposed by G. Vergnaud, can be considered: composition, transformation, relation of comparison, composition of two transformations, composition of two relations, transformation of a relation. According to this structure, some examples, which contain homogeneous objects, were extracted from the elementary school mathematics textbooks.

• Journal of the Korea Convergence Society
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• v.11 no.8
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• pp.33-38
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• 2020

Modern society needs to think in new directions and solve problems by grafting problems from diverse fields with computers. Abstraction and automation of various problems using computing technology with your own ideas is called computational thinking. In this paper, we analyze how to diagnose and improve knowledge information based on computational thinking through the process of presenting a variety of problems in programming education situations and finding several problem-solving methods to solve them. To pretest the learners, they were diagnosed using a measurement sheet and a LightBot. By determining the correlation between the evaluation results and LightBot results, the learners' current knowledge statuses were checked, and the correlation between the evaluation results and the LightBot results, based on what was taught according to the problem-solving learning technique, was analyzed according to the proposed technique. The analysis of the group average score of the learners showed that the learning effect was significant. If the method of deriving and improving knowledge based on computational thinking ability for solving the problem proposed in this paper is applied to software education, it will induce student interest, thereby increasing the learning effect.

• Journal of the Korea Convergence Society
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• v.11 no.11
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• pp.95-101
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• 2020

This study was conducted to identify the convergence relation of critical thinking disposition, problem-solving ability and college life adaptation and to find out the factors that influence college life adaptation. The survey was collected on 172 2nd and 3rd grade students majoring in dental laboratory technology from three-year colleges in Chungbuk and Jeonbuk. The analysis results showed that the critical thinking disposition was 3.50, problem-solving ability of the study subjects was 3.55 and college life adaptation was 3.27. The most influential factor in college life adaptation was critical thinking disposition followed by major satisfaction and college satisfaction in that order. In order to improve the level of college life adaptation of dental laboratory technology students, it is necessary to reform the educational environment and develop a variety of educational program to increase critical thinking, major satisfaction and college satisfaction.

• Journal of Gifted/Talented Education
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• v.10 no.1
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• pp.1-32
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• 2000

Although it is widely acknowledged that enhancing creativity is an important educational theme on which schools should depend and embody their educational goal and activities, how to do it can be characterized as 'piecemeal' without a whole picture of it. Thus, school practices of creativity education has been disoriented, discontinuous, short-term, and peripheral in nature. In this practical context, a theoretical model of creativity education was developed in ways in which several theoretical concepts based on research findings on a variety of aspects of creativity education were compiled and organized. The core of the model was creative problem solving process to which the goals and the mediating variables of creativity education were connected in relational fashion. By giving repetitive opportunities for creative problem solving geared to producing the results that are novel and useful for the individual as well as the socity, it was conceptualized that two educational goals could be achieved: a short-term goal of developing creative potential of the individual and the long-term goals of self-actualization of the individual and contribution to the society. It is also conceptualized that creative problem solving can be influenced in positive manner by several mediating variables: content knowledge and skills, creative cognition, creative motivation and attitudes, and creative environment. The creative environment is composed of psychological and physical conditions and provides a basis for creativity education. The former three variables are conceptualized as necessary conditions for the effectiveness and efficiency of creative problem solving, when provided appropriately. The four mediating variables ware conceptualized as mutually affecting so that the development of one variable influences positively that of the other, and vice versa. In terms of practical perspective of teaching creativity, developing creative potential, self-actualization, and contribution to society are the goals; creative problem solving process is the methodology; content knowledge and skills, creative cognition, and creative motivation and attitudes are the content; and creative environment is the condition of creativity education. The model is not yet perfect but needs further explorations to make it more detailed in clarifying various relationships. For instance, how the creative problem solving process can be differentiated in teaching various subject matters is yet to be explored. Thus, the model proposed in this study should be regarded as a general model of creativity education, and is relatively sound to be adopted in school practices since it is based on the theoretical as well as empirical study findings on creativity. However, the proposed model needs to be validated through empirical researches in real teaching settings.