• The Mathematical Education
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• v.47 no.2
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• pp.221-224
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• 2008

The article shows that the concept 'weight' and the concept 'heaviness' give rise to different abstractions in the sense of Piaget and that these two concepts are differentiated by set-theoretic devices. The failure of differentiation of these two concepts 'weight' and the 'heaviness' can cause the failure of learning of the difference between reflective abstraction and empirical reflective abstraction. To explain the Piagetian abstrcation in a classroom, the author suggests to use the concept 'color' instead of the concept 'weigtht'.

• Journal of Educational Research in Mathematics
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• v.9 no.2
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• pp.383-404
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• 1999

This study began with an epistemological question about the nature of mathematical cognition in relation to the learner's activity. Therefore, by examining Piaget's 'reflective abstraction' theory which can be an answer to the question, we tried to get suggestions which can be given to the mathematical education in practice. 'Reflective abstraction' is formed through the coordination of the epistmmic subject's action while 'empirical abstraction' is formed by the characters of observable concrete object. The reason Piaget distinguished these two kinds of abstraction is that the foundation for the peculiar objectivity and inevitability can be taken from the coordination of the action which is shared by all the epistemic subjects. Moreover, because the mechanism of reflective abstraction, unlike empirical abstraction, does not construct a new operation by simply changing the result of the previous construction, but is forming re-construction which includes the structure previously constructed as a special case, the system which is developed by this mechanism is able to have reasonability constantly. The mechanism of the re-construction of the intellectual system through the reflective abstraction can be explained as continuous spiral alternance between the two complementary processes, 'reflechissement' and 'reflexion'; reflechissement is that the action moves to the higher level through the process of 'int riorisation' and 'thematisation'; reflexion is a process of 'equilibration'between the assimilation and the accomodation of the unbalance caused by the movement of the level. The operational learning principle of the theorists like Aebli who intended to embody Piaget's operational constructivism, attempts to explain the construction of the operation through 'internalization' of the action, but does not sufficiently emphasize the integration of the structure through the 'coordination' of the action and the ensuing discontinuous evolvement of learning level. Thus, based on the examination on the essential characteristic of the reflective abstraction and the mechanism, this study presents the principles of teaching and learning as following; $\circled1$ the principle of the operational interpretation of knowledge, $\circled2$ the principle of the structural interpretation of the operation, $\circled3$ the principle of int riorisation, $\circled4$ the principle of th matisation, $\circled5$ the principle of coordination, reflexion, and integration, $\circled6$ the principle of the discontinuous evolvement of learning level.

• Journal of Educational Research in Mathematics
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• v.12 no.2
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• pp.213-228
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• 2002

We know that curriculum is, first of all, related to teaching materials, namely, contents. Therefore, when we think of mathematics curriculum, we must take account of characteristic of mathematics. Vygotsky has studied the development of scientific concepts and everyday concepts. According to Vygotsky, scientific concepts grow down through spontaneous concepts; spontaneous concepts grow upward through scientific concepts. And mathematics is a representative of subjects dealing with scientific or theoretical concept. Therefore, his study provides scientific basis for mathematics curriculum design. In this context, Davydov notes that everyday concepts are developed through empirical abstraction, while scientific concepts require a theoretical abstraction. And Davydov constructed the curriculum materials for the teaching of number concept. Davydov's curriculum is an example of reflecting Vygotsky' theoretical view and his view about the types of abstraction. In particular, it represents mathematical characteristic of a 'science' by introducing number concept through quantitative relationship and use of signs. In conclusion, stance mathematical concepts have scientific characteristic, mathematics curriculum reflects this characteristic.

• Journal of the Korean Society of Earth Science Education
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• v.10 no.2
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• pp.214-225
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• 2017

The first accurate estimate of the Earth's circumference was made by the Hellenism scientist Eratosthenes (276-195 B.C.) in about 240 B.C. The simplicity and elegance of Eratosthenes' measurement of the circumference of the Earth by mathematics abstraction strategies were an excellent example of ancient Greek ingenuity. Eratosthenes's success was a triumph of logic and the scientific method, the method required that he assume that Sun was so far away that its light reached Earth along parallel lines. That assumption, however, should be supported by another set of measurements made by the ancient Hellenism, Aristarchus, namely, a rough measurement of the relative diameters and distances of the Sun and Moon. Eratosthenes formulated the simple proportional formula, by mathematic abstraction strategies based on perfect sphere and a simple mathematical rule as well as in the geometry in this world. The Earth must be a sphere by a logical and empirical argument of Aristotle, based on the Greek word symmetry including harmony and beauty of form. We discuss the justification of these three bold assumptions for mathematical abstraction of Eratosthenes's experiment for calculating the circumference of the Earth, and justifying all three assumptions from historical perspective for mathematics and science education. Also it is important that the simplicity about the measurement of the earth's circumstance at the history of science.

• The Journal of Information Technology and Database
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• v.8 no.1
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• pp.41-65
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• 2001

This study proposes evaluation dimensions of object-oriented systems modelling tools and activities available in object-oriented systems development practices. The dimensions ale developed based on previous research in cognitive psychology, information systems modeling study, and object-oriented systems analysis arid design areas. The proposed dimension is composed of two dimensions. The one dimension includes abstraction levels of modelling and the other includes process and representation in modeling activities. Experts on object-oriented modeling were selected to evaluate the practical validity of the proposed dimensions and applications of major object-oriented modeling tools during systems development project. Most of the tools were observed to be used for representing objects rather than for modeling the process of related objects. The proposed modeling dimension will be evaluated for acquiring general validity in future empirical research.

• The Journal of Asian Finance, Economics and Business
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• v.3 no.1
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• pp.33-41
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• 2016

Essences, needs and features of formation of national innovative development model of Kazakhstan are proved on the basis of analysis of various research approaches to realization of the modernization that exist in the world economic theory. For studying the problems of innovative development of the country, there was a need for the formulation of a number of definitions, disclosure of their contents, changing the approaches to reform, as well as adjusting their targets. In the article the general scientific research methods used dialectic, abstraction, systemic and situational approach, empirical and theoretical and analytical methods, and logic modeling. The proposed approach to the implementation of innovative development based on the use of evolutionary and institutional approaches to the study of the problems of implementing an effective innovation policy. This approach is intended to contribute to the development of a forward strategy of modernization, innovative development and higher competitiveness of the national economy. The study proved the causes and features of the implementation of innovative development model in Kazakhstan.

• Journal of Fashion Business
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• v.21 no.4
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• pp.90-104
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• 2017

In a rapidly changing fashion design world, creative ideas are always required. Knowledge has been created as an art, exhibiting a new imagination that surpasses reality, while being visualized from the past. The purpose of this study is to derive types of visualization of knowledge for continuous creation of fashion design. The study consists of literature and empirical studies. ATTA, a creativity evaluation method made by Torrance applied for analyzing of Gucci fashion design collections from 2016-2017. Creativity of the Gucci collection by ATTA evaluation items are that first, a vivid idea was revealed through collection history, myths and animal and plants, second, conceptual incongruity is in the composition of the garment, third, provocative questions are the symbolism of the meaning of the text, fourth, different perspectives derive a new formative beauty through the synthesis of twisted elements, fifth, abstraction is a symbolic expression of animals and plants, sixth, synthesis is a mixture of various materials and techniques by plural inspiration, seventh, context, it is developed as a design accompanied by stories of history and myth and eighth, fantasy is fictitious animals and animals and detail. In addition, formativeness of fashion design by visualization of this knowledge was extracted with contamination, symbolism, enjoyment and fabrication. Visualization of the knowledge is expected to be used as a strategy to attract ongoing ideas for creative fashion designs.

• Journal of KIISE:Software and Applications
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• v.29 no.5
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• pp.289-294
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• 2002

It is known that restructuring feed-forward neural network affects generalization capability and efficiency of the network. In this paper, we introduce a new approach to restructure a neural network using abstraction of the hidden knowledge that the network has teamed. This method involves extracting local rules from non-input nodes and aggregation of the rules into global rule base. The extracted local rules are used for pruning unnecessary connections of local nodes and the aggregation eliminates any possible redundancies arid inconsistencies among local rule-based structures. Final network is generated by the global rule-based structure. Complexity of the final network is much reduced, compared to a fully-connected neural network and generalization capability is improved. Empirical results are also shown.

• Journal of Digital Convergence
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• v.14 no.10
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• pp.277-285
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• 2016

The purpose of this study is to quantitatively and empirically investigate whether cartoon-realism, which is referred to as a guideline for avoiding the uncanny valley phenomenon, is actually effective. An experiment was carried out to investigate whether or not methods that try to realistically express the texture of human skin while making 3D models whose outward appearance abstract like a cartoon actually reduce the negative sentiments associated with the uncanny valley phenomenon. The results found that when human skin textures were applied to cartoon-type 3D models, the degree of eeriness significantly increased (p<0.05), while there was no change in the degree of human likeness. When cartoon-style skin textures were applied to human-type 3D models, there was no significant difference in the degree of eeriness, but the degree of human likeness significantly decreased (p<0.05). These results show that, cartoon realism is not actually effective, and rather creates a perceptual conflict and induces the uncanny valley phenomenon. The results of this study are expected to be used as quantitative and empirical data for developing design guidelines that will overcome the uncanny valley phenomenon in the future.

• Journal of The Korean Association of Information Education
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• v.18 no.1
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• pp.57-64
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• 2014

This study aims to suggest lesson plans and evaluation methods for primary pre-service teachers by reviewing the concept of computational thinking(CT) skills and its sub components. To pursue this goal, a literature review has been conducted in regards to CT and the effectiveness of programming courses. In addition, the Scratch educational programming functions were analyzed yielding six CT elements(data representation, problem decomposition, abstraction, algorithm & procedures, parallelization, simulation). With these six elements, one semester lesson plans for 15 weeks that represent the connections with six CT elements were designed. Based on the PECT(Progression of Early Computational Thinking) model and the CT framework a rubric to evaluate learners' proficiency levels(basic, developing, proficient) revealed in their final projects was developed as well. Upon a follow-up empirical study, the lesson plans and the rubric suggested in the current study are expected to be utilized in teachers' colleges.