• Journal of The Korean Association For Science Education
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• v.28 no.2
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• pp.169-179
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• 2008

In this study, 46 teaching materials for understanding the nature of science (NOS) were developed based on the 42 statements describing the NOS. Each teaching material involves scientific knowledge and scientific inquiry skills as well as NOS statements. Teaching materials consist of students' learning worksheets and teachers' guides. Among the materials, 11 materials for understanding the nature of scientific thinking (NOST) were applied to 3 scientifically gifted students. As results, the degree of difficulty was appropriate and students showed interests in scientific thinking rather than new concepts or inquiry activities involved in the materials. It was expected that understating the NOST would be helpful for conducting scientific inquiry in more authentic way. And similarly to the Park's (2007) theoretical discussions about the relationship between the NOS and scientific creativity, students actually responded that undertrading the NOST could help their creativity. Therefore, it was expected that teaching the NOST would be plausible elements for teaching scientific creativity.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.539-560
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• 2013

The purpose of this study was to investigate characteristics of mathematically gifted high school students' thinking in design activities using GrafEq. Eight mathematically gifted high school students, who already learned graphs of functions and inequalities necessary for design activities, were selected to work in pairs in our experiment. Results indicate that logical thinking and mathematical abstraction, intuitive and structural insights, flexible thinking, divergent thinking and originality, generalization and inductive reasoning emerged in the design activities. Nonetheless, fine-grained analysis of their mathematical activities also implies that teachers for gifted students need to emphasize both geometric and algebraic aspects of mathematical subjects, especially, algebraic expressions, and the tasks for the students are to be rich enough to provide a variety of ways to simplify the expressions.

• Journal of Educational Research in Mathematics
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• v.23 no.1
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• pp.53-74
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• 2013

The purpose of this paper is to analyze how mathematically gifted middle school students find out the necessary and sufficient condition for a certain hyperbolic line to be parallel to a given hyperbolic line in Non-Euclidean disc model (Poincar$\acute{e}$ disc model) using the Geometer's Sketchpad. We also investigated their characteristic of mathematical thinking and analyze how they express what they had observed while they did mental experiments in the Poincar$\acute{e}$ disc using computer-aided construction tools, measurement tools and inductive reasoning.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.927-941
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• 2013

In this paper, we investigate and analysis high school students' generalization of cosine rule using analogy, and we study teaching and learning methods improving students' analogical thinking ability to improve mathematical thinking process. When students can reproduce what they have learned through inductive reasoning process or analogical thinking process and when they can justify their own mathematical knowledge through logical inference or deductive reasoning process, they can truly internalize what they learn and have an ability to use it in various situations.

• Journal of The Korean Association For Science Education
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• v.20 no.4
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• pp.667-679
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• 2000

One of the major activities in scientific inquiry, as well as in the process of conceptual change, is the generation of scientific hypothesis. In this study, the definition and the characteristics of scientific hypothesis are analyzed. Especially, differences between explanatory hypothesis and scientific explanation, predictive hypothesis and scientific prediction, and scientific hypothesis and the inductive generalization are analyzed. And the process of making scientific hypothesis is suggested as 4 stages, and the role and the characteristic of the abductive thinking, which can be viewed as one of the scientific inferences needed to generate hypothesis, are discussed. In analysis, concrete examples from integrated science textbook of high school are used for application to the classroom teaching.

• Korean Institute of Interior Design Journal
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• v.19 no.6
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• pp.20-29
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• 2010

Art historians and critics have defined the style as common features appeared in a class of objects. Abstract common features from a set of objects have been used as a bench mark for date and location of original works. Commonalities in shapes are identified by relationships as well as physical properties from shape descriptions. This paper will focus on how the computer and human can recognize common shape properties from a class of shape objects to learn design knowledge. Shape representation using schema theory has been explored and possible inductive generalization from shape descriptions has been investigated. Also learned shape knowledge can be used. for new design process as design concept. Several design process such as parametric design, replacement design, analogy design etc. are used for these design processes. Works of Mario Botta and Louis Kahn are analyzed for explicitly clarifying the process from conceptual ideas to final designs. In this paper, theories of computer science, artificial intelligence, cognitive science and linguistics are employed as important bases.

• East Asian mathematical journal
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• v.28 no.2
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• pp.173-195
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• 2012

The purpose of this study is to help for an in-depth understanding of their thinking process by observing and analyzing the response found by two elementary school students, Through this study, the following findings could be obtained. First, two students have a tendency trying to solve the complex situation at first. Second, we could know that it is an important factor in discovering the pattern to predict it. Third, we could know that the activity of reconstructing the data meaningfully is an important factor in discovering the pattern. Fourth, it is an important factor in finding the pattern to work organically the activity of predicting it with the activity of reconstructing the data meaningfully. We hope that this study offers the help for an in-depth understanding of students's thinking process.

• Journal of the Ergonomics Society of Korea
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• v.1 no.1
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• pp.37-40
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• 1982

안정성의 관점에서 씨스템을 분석 평가할 때에 다음과 같은 3가지 접근방법이 있을 수 있다. 첫째, 과거의 경험에 의한 것으로서 "어떤일을 하면 안된다.(Don't D0's)"라는 점검표 (Checklist)를 사용하는 직관적인 방법. 둘째, "어떤 일이 발생하였을 때 어떻게 처리하여야 안전한가\ulcorner (the HOW to the WHAT HAPPENED)"의 귀납적인 방법. 셋째, 어떻게 하여 무슨일이 발생할 것인가\ulcorner (the WHAT HAPPENED to the HOW)의 연역적인 방법이다. System의 안정성을 평가 분석하는 데에는 세번째의 연역적인 방법이 가장 좋으며 이 연역적인 여러 기법들 중에서 가장 일반적인 방법이 "Fault Tree Analysis"란 기법으로 알려져 있다. 여기에서는 Fault-Tree를 이용한 대안들을 평가하는 것에 주안점을 두기로 한다. 이용한 대안들을 평가하는 것에 주안점을 두기로 한다.

• Journal of Engineering Education Research
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• v.8 no.3
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• pp.49-56
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• 2005

The purposes of this study are to select assessment components for the engineering design ability and to verify the validity of the selected assessment components. From the results of the study, the following conclusions were made. $\cdot$ Social Ability : 'Communication' and 'Teamwork' $\cdot$ Procedure Ability : 'Acknowledging and Defining Problems', 'Planning and Maintaining', 'Collecting Information', 'Deriving Ideas' and 'Evaluating Ideas' $\cdot$ Experience : 'Engineering Experience' and 'Science Experience' $\cdot$ Knowledge : 'Engineering Knowledge', 'Science Knowledge' and 'Mathematics Knowledge', 'Visualization Ability': 'Sketching' and 'Drawing' $\cdot$ Reasoning : 'Converging Reasoning' 'Inductive Reasoning' and 'Intuitive Reasoning'

• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.51-67
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• 2017

Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.