• Journal of The Korean Association For Science Education
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• v.26 no.1
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• pp.88-98
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• 2006

The purpose of this study was to analyze the process of scientists' science knowledge generation by employing four creative scientists as participants. Raw protocols were collected by an intensive interview method and then analyzed by a psychological modelling procedure. The present study showed that the process of knowledge generation divided into the processes of inductive, abductive, and deductive thinking. Furthermore, the inductive process in simple and operative observation was involved in the processes of generating a question, conjecture/prediction, designing an operational method, operation, and simple observation. Also, the abductive process had two components; question generation, and hypothesis generation which consisted of analyzing questions, searching explicans, and constructing hypothesis. Finally, the deductive process involved inventing abstract test methods, inventing abstract criteria, inventing concrete test methods, inventing concrete criteria, collecting results, and evaluating hypotheses and stating conclusions.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.59-71
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• 1998

Recently, most classrooms in Korea are fully equipped with multimedia environments such as a powerful pentium pc, a 43″large sized TV, and so on through the third renovation of classroom environments. However, there is not much software teachers can use directly in their teaching. Even with existing software such as GSP, and Mathematica, it turns out that it doesn####t fit well in a large number of students in classrooms and with all written in English. The study is to analyze the characteristics of problem-solving process and to develop a computer program which integrates the instruction of problem solving into a regular math program in areas of quadratic functions and ellipses. Problem Solving in this study included two sessions: 1) Learning of basic facts, concepts, and principles; 2) problem solving with problem contexts. In the former, the program was constructed based on the definitions of concepts so that students can explore, conjecture, and discover such mathematical ideas as basic facts, concepts, and principles. In the latter, the Polya#s 4 phases of problem-solving process contributed to designing of the program. In understanding of a problem, the program enhanced students#### understanding with multiple, dynamic representations of the problem using visualization. The strategies used in making a plan were collecting data, using pictures, inductive, and deductive reasoning, and creative reasoning to develop abstract thinking. In carrying out the plan, students can solve the problem according to their strategies they planned in the previous phase. In looking back, the program is very useful to provide students an opportunity to reflect problem-solving process, generalize their solution and create a new in-depth problem. This program was well matched with the dynamic and oscillation Polya#s problem-solving process. Moreover, students can facilitate their motivation to solve a problem with dynamic, multiple representations of the problem and become a powerful problem solve with confidence within an interactive computer environment. As a follow-up study, it is recommended to research the effect of the program in classrooms.

• Education of Primary School Mathematics
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• v.15 no.1
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• pp.31-40
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• 2012

In this paper, we developed teaching learning models using a numeral operation for the mathematical gifted focused on the design of a circle using GSP and investigated effects of this models. This model gave gifted-students to be able to produce creative outputs with mathematical principles and practicality and beauty of mathematics. We found following facts. Firstly, a developed teaching-learning model improves a mathematical gifted student's mathematical creativity as analytic thinking and deductive inference. Secondly, a circular design using GSP helps gifted students to understand the abstract rules because mathematical patterns was represented visually by a circular design. Lastly, a circular design using a numeral operation is helpful to gifted students revealing to creativity and beauty of mathematics.

• The Mathematical Education
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• v.59 no.2
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• pp.185-199
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• 2020

The purpose of this study is to discuss what the incorporation of humanistic imagination into mathematics means to mathematics education and to suggest implications for mathematics education in school mathematics. Traditionally, mathematics has been perceived to be far from our life problems because it targets logical and pure abstract thinking. According to international mathematics and science studies such as TIMSS and PISA, Korean students have relatively high mathematics achievement in the international research, but their attitude toward mathematics is very negative and their awareness of why they are learning mathematics and their satisfaction with life is low. In mathematics education, linking mathematics with humanities imagination allows students to view problems of human life from a humanities perspective, and to have an understanding of others and reflect on themselves from a new perspective. The researcher introduces several examples of whether mathematics and humanistic imagination can be combined for mathematics education. In this study, the ultimate reason for learning mathematics is to achieve learners to realize the principles of life or Dharma, and to live a happier life. However, in order to expand its rich meaning by making these new attempts in mathematics education, the researcher argued that tolerance and patience are needed for many challenges and difficulties in improving the quality of mathematics content itself including applying humanistic imagination to mathematics properly.

• Journal of the Korean Society of Earth Science Education
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• v.8 no.3
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• pp.332-345
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• 2015

Earth science is the study to explore the planet in which we live. Among these earth science geology of the area it can be the most critical and important study. However, because of the size and scope is too broad temporal spatial eurona covered in geology is true that many students find difficult about the geology field. In this study, in conjunction with landscape formation of geologic time for the concept to be among the core areas of Geology examined the concept and recognize it as the destination for high school students. Is a test tool for the analysis was adapted for use by Jolley (2010) has developed LIFT (The Landscape Identification and Formation Test). Currently we fix the strip to match the country through a validity check of the curriculum. Results of the study were as follows: First, the ability to check the landscape and formation is expected to estimate the time and the liberal arts students was higher than the natural science students. The reason for this seems to be the influence of learning geographical subjects. Second, the concept of geological time was found to lack both natural science and liberal arts students. The reason is that the students in the previous process because it deals with the concept of geologic time from the top of Earth Science Education II seems to be because there was no chance of learning about geological time. Third, the results confirm the confidence of the students surveyed in the landscape formation time natural science students was higher than liberal arts students. The research measured gender boys higher than girls. Fourth, the students on the landscape and geological time was found to have a number of misconceptions. This appears to be due to the students to feel difficulty in thinking of the concept because the need to understand the abstract geologic time. Therefore, it is necessary just to hold misconceptions about the concept of geology students have through the study of the landscape and geological time.

• The Journal of Art Theory & Practice
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• no.1
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• pp.7-22
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• 2003

What is 'Art Theory'? In the western sense, the term poses a vague ambiguity, and in the eastern, it is rather an abstract and metaphysical concept. As for etymology, theory is derived from theoria and theoria from theoros. It refers to an act of viewing or seeing, of course not in a metaphysical sense. Plato understood it as 'eide'. During the time of Plotinus, theoria encompassed gazing at every possible reality, and this gazing, that is theoria, is closely related to reality as aunit that theoriacan perceive. However, we tend to distinguish, as other scientists of dualism have done, studio art from theory since a pre-modern approach to art has been particularly tuned to studio practice, set apart from theory. Therefore, in studio classes, students are expected to learn the subject based on the foundational curriculum methods such as medium, genre, technique:, rather than bringing out their own interpretations and discussing theories. As a result, students have become artists, who are not able to understand their own art. Art professors who conduct class in studio are required to proceed with specific 'theories' as well as 'intellectual reflections'. In this respect, this thesis presents poiesis and an idea of 'acting out'. Although art history and aesthetic theory tend to view art as a finished product, actual art-making and related theories should not only be acknowledged as 'completion' (finition) but also be accompanied by theoretic interpretations of the act itself and process. Accordingly, it is to accept and appreciate art as finished result in view of current theory and aesthetics thus boils down to aisthesis. Likewise, poietics starts from a point where an artist is related to studio and examines the 'work process' that extends as far as to the exact end of work. Through the study of such relationship, it is possible that theory understands 'studio' and 'process', and an artist can grant an independent meaning to studio where s/he pours her/his heart out creating a work of art. Theory is a study on artistic discovery thus should be equipped with functions that can accommodate fortuity, imitation, thinking, culture, and surrounding.

• Archives of design research
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• v.16 no.2
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• pp.243-254
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• 2003

This research, we will begin our analysis of the types of research example of designers by the linguistic studies of products form. Specially, we had a mind to generate the linguistic concept of products form by the linguistic relations between tools and thinking, and analysed how activate the roles of form language in linguistic and non-linguistic areas. We understood the relations of design process about idea generation, same means of interpretation of form and the generation of form concept, by using of the roles of form language made in design process. We showed the research examples of Enzo Mari and the origins of form language in view point of design history. Also, we classified the form linguistic concerns of designers and scholars interested in design areas by dividing various factors in view point of language. Finally, through the process of this classification, the researches of form language call for further study, as more the examples of detailed design practises and the individualized form language of products than systematic researches and abstract theories about products, and emphasized this viewpoint, we suggest a going-on research theme, the individualized products' differences of form language and concerns viewpoint of inter-culture, the concept generation of form language of products can be inter-coexistent.

• School Mathematics
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• v.3 no.2
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• pp.249-265
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• 2001

In this information-oriented society of the 21st century, our education should combine the knowledge from the past and present in order to have students be ready to solve “the problems in the future”. But nowadays, our social situation makes much importance of the “cramming” education just for the College Scholastic Ability Test rather than the “whole man” education for making creative citizens of the future society. So does mathematics education. In a high school, mathematics education should be toward these aims: recognizing the value of math, applying mathematical principles to actual lives, promoting students' thinking ability. Also, it should focus on teaching higher level of mathematical knowledge which includes more logical and abstract idea so that students can prepare for the global society of the future. This study is about development and utilization of the teaching materials for mathematics class which usually deviates from the routine right after the Scholastic Ability Test finished. These materials are the result of a complete survey of the 3rd graders and their teachers and designed to use for 30 periods of class from after-the-test-finished to graduation. The materials consist of a history of mathematics, puzzles, magic number squares, and so on. Remarkably different from the current textbooks which deal with sets, equations, functions, these materials proved to be useful for their variety and attraction. Consequently, the materials are considered to keep the 3rd graders from forgetting mathematics even after the Scholastic Ability Test, and to help them recognize that mathematics is a kind of basic and cultural study and a tool of daily lives.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.323-345
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• 2015

This study examined the types of abduction appeared in the exploration activities of 'law of large numbers' in order to figure out relation between statistical reasoning and abduction. When the classroom discourse of students was analyzed by Peirce's abduction, Eco's abduction type and Toulmin's argument pattern, students used overcoded abduction the most in the discourse of abduction. However, there composed a low percent of undercoded abduction leading to various thinking, and creative abduction used to make new principles or theories. By the CAS calculators used in the process of reasoning, students were provided with empirical context to understand the concept of abstract probability, through which they actively participated in the argumentation centered on the reasoning. As a result, it was found that not only to understand the abduction, but to build statistical context with tools in the learning of statistical reasoning is important.

• Journal of architectural history
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• v.7 no.4 s.17
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• pp.29-47
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• 1998

The aim of this study is to understand the original methods of architectural composition in F. L. Wright's works, For this purpose, the principal thoughts based on his organic architecture was examined over all others, and the results of this study are as follows. 1. F. L. Wright knew Taoist Philosophy, especially Lao-tzu's thought about space based on traditional oriental arts included traditional japanese arts by his superior intuition. this is similar to Froebel Thought in the principal theory, that is, his own unique field of abstract architectural education with three-dimensional geometry learned through Froebel Gifts. 2. Space is reality ; such Lao-tzu's thought, reversed the sense of values, influenced F. L. Wright's way to accomplish his own continuous space. that is to say, he attempted taking precedence of spatial organization by the unit of three-dimensional module made the substance, Froebel Blocks (3, 4, 5, 6 Gifts) into non-substance, and trying to do the methods of continuous liberal composition in architecture. which is his original accomplishment, namely his mentioned 'democratic' because of judging the space and the mold of architecture as individualities. 3. F. L. Wright treated the space as a positive entity, so that he created his own architecture organically combined with spaces and forms. : This was the result that he comprehended both formative, physical worth in West and spatial, non-physical worth in East as equivalence. It is understood that F. L. Wright's works combined with East and West are the significance of his architecture and the progress of true internationalities and modernization in modern architecture. 4. From the analyses of his works, we knew the fact that F. L. Wright's architecture, especially in the spatial organization were performed by the reasonable methods with geometric system of Froebel Gifts. In the observation of our fundamental way of thinking on his architecture, this study shows the necessity to let us get out of preconceptions and conclusions that the organic architecture is mysterious and difficult, but to systematize and put his organic methods to practical use.