• Title/Summary/Keyword: Functional Representation

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A Study on the Factors and Effect of Immediacy in Intuition (직관의 즉각성 요인과 효과에 대한 고찰)

  • Lee Dae-Hyun
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.263-273
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    • 2006
  • The purpose of this paper is to research the factors and the effects of immediacy in mathematics teaching and learning and mathematical problem solving. The factors of immediacy are visualization, functional fixedness and representatives. In special, students can apprehend immediately the clues and solution using the visual representation because of its properties of finiteness and concreteness. But the errors sometimes originate from visual representation which come from limitation of the visual representation. It suggests that students have to know conceptual meaning of the visual representation when they use the visual representation. And this phenomenon is the same in functional fixedness and representatives which are the factors of immediacy The methods which overcome the errors of immediacy is that problem solvers notice the limitation of the factors of immediacy and develop the meta-cognitive ability. And it means we have to emphasize the logic and the intuition in mathematical teaching and learning. Clearly, we can't solve all mathematical problems using only either the logic or the intuition.

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A Comparative Study on the Representation and Becoming Phenomenon Expressed in Contemporary Fashion -Focusing on the Theory of Mimesis and Deleuze's Becoming- (현대 패션에 나타난 재현과 되기 현상에 대한 비교 연구 -미메시스와 들뢰즈의 되기 이론을 중심으로-)

  • Yang, Hee-Young
    • Journal of the Korean Society of Clothing and Textiles
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    • v.33 no.2
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    • pp.200-212
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    • 2009
  • Since the late of 20C, contemporary fashion have becoming enlargement between role and function of fashion through the combination and the deconstruction among various different spheres. Because multi-functional and trans-formal fashion transforms and extends original space and role toward any other fields through the morphologic and structural combination, this has been freed form the representational function pursuing more simple morphologic imitation, and becomes to change the space that is able to 'becoming' of Jill Deleuze. This paper intends to make a comparative study between the representation phenomenon about simple morphologic imitation of existing fashion design, and the becoming phenomenon of fashion focused on the change toward any other different object. This studies' conclusion as follows. 1) First representation imitates a lot of nature forms that are able to be restored any fixed form and picture. 2) Second representation is the representation of representation that re-imitates imitated object and art work. 3) Ontalogical becoming is classified with depaysement, self-presentation of fashion, morphing, and becoming the nature as a element.

A New Functional Synthesis Method for Macro Quantum Circuits Realized in Affine-Controlled NCV-Gates (의사-제어된 NCV 게이트로 실현된 매크로 양자회로의 새로운 함수 합성법)

  • Park, Dong-Young;Jeong, Yeon-Man
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.4
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    • pp.447-454
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    • 2014
  • Recently most of functional synthesis methods for quantum circuit realization have a tendency to adopt the declarative functional expression more suitable for computer algorithms, so it's difficult to analysis synthesized quantum functions. This paper presents a new functional representation of quantum circuits compatible with simple architecture and intuitive thinking. The proposal of this paper is a new functional synthesis development by using the control functions as the power of corresponding to affine-controlled quantum gates based on the mathematical substitution of serial-product matrix operation over the target line for the arithmetic and modulo-2 ones between power functions of unitary operators. The functional synthesis algorithm proposed in this paper is useful for the functional expressions and synthesis using both of reversible and irreversible affine-controlled NCV-quantum gates.

An Analysis of Teaching and Learning Methods Focusing on the Representation-Shift of the Functional Context (일차함수 활용문제의 해결을 위한 강의식, 모델링, 과제기반 표현변환 학습의 교수학적 효과 분석)

  • 이종희;김부미
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.39-69
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    • 2004
  • This paper investigates the teaching and learning of Linear function relating functional contexts and suggests the improved methods of representation-shift through this analysis. The methods emphasize the link between students' preacquired knowledge of mathematical representations and the way of using those. This methods are explanatory teaching, teaching and teaming based on modelling perspectives or tasks (interpretation, prediction, translation and scaling). We categorize the 8th grade middle school students' errors on the linear function relating real contexts and make a comparative study of the error-remedial effects and the teaching and teaming methods. We present the results of a study in which representation-shift methods based on modelling perspectives and tasks are more effective in terms of flexible connection of representations and error remediation. Also, We describe how students used modelling perspective-taking to explain and justify their conceptual models, to assess the quality of their models and to make connection to other mathematical representation during the problem solving focusing on the students' self-diagnosis.

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Analysis of Problem-Solving Protocol of Mathematical Gifted Children from Cognitive Linguistic and Meta-affect Viewpoint (인지언어 및 메타정의의 관점에서 수학 영재아의 문제해결 프로토콜 분석)

  • Do, Joowon;Paik, Suckyoon
    • Education of Primary School Mathematics
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    • v.22 no.4
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    • pp.223-237
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    • 2019
  • There is a close interaction between the linguistic-syntactic representation system and the affective representation system that appear in the mathematical process. On the other hand, since the mathematical conceptual system is fundamentally metaphoric, the analysis of the mathematical concept structure through linguistic representation can help to identify the source of cognitive and affective obstacles that interfere with mathematics learning. In this study, we analyzed the problem-solving protocols of mathematical gifted children from the perspective of cognitive language and meta-affect to identify the relationship between the functional characteristics of the text and metaphor they use and the functional characteristics of meta-affect. As a result, the behavior of the cognitive and affective characteristics of mathematically gifted children differed according to the success of problem solving. In the case of unsuccessful problem-solving, the use of metaphor as an internal representation system was relatively more frequent than in the successful case. In addition, while the cognitive linguistic aspects of metaphors play an important role in problem-solving, meta-affective attributes are closely related to the external representation of metaphors.

Parametric Design System Basedon Design Unit and Configuration Design Method (구성 설계방법과 설계유니트를 이용한 파라메트릭 설계 시스템)

  • 명세현;한순흥
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.702-706
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    • 1995
  • Integration of CAM and CAM information is important in the CIM era. For a CIM system, the feature representation can be a solution to the integration of product model data. These are geometry feature, functional feature, and manufacturing feature in the feature context. This paper proposes a framework to integrate the configuration design method, parametric modeling and the feature modeling method. The concept of design unit which is one level higher than functional feature and parametric modeling concept with functional features have been proposed.

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Landscape Drawing as a Text: Practical and Theoretical Approach (텍스트로서의 조경드로잉 - 읽기의 틀과 실제 -)

  • 이광빈;조정송
    • Journal of the Korean Institute of Landscape Architecture
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    • v.27 no.1
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    • pp.54-63
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    • 1999
  • The Landscape drawing is used as main media in landscape design process like the language in daily life for human. Designers input many intentions and meaningful words in design process through landscape drawing. The common purpose of landscape drawing is to represent reality effectively, even though it has variable visual forms and materiality. The representation in landscape drawing in metaphorical as well as visual and functional. But current tendency is inclined to use landscape drawing in a functional aspect for visual representation and the landscape drawing is utilized straight-forwardly rather than metaphorically for clear communication. Such recognition on landscape drawing results from the difficulty to accept the symbolic aspect of the drawing. The difficulty makes the utilization and the interpretation of landscape drawing stay at conventional level in following visible factors. For the sake of solving the difficulty this study considers landscape drawing as the text that contains readable objects and symbolic words. This study presents layer-methods for reading a landscape drawing as a text; situational and contextural reading, iconological reading and reading the subject of drawing.

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Cognitive Dictionaries Inferred from Word Associations (인지어휘 유형개념)

  • Tieszen, Helen R.
    • Korean Journal of Child Studies
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    • v.5
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    • pp.47-52
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    • 1984
  • 인지 어휘 유형(cognitive dictionary)이란 단어 연상의 반응 어휘를 인지 유형에 따라 분류, 분석하는 것을 가리킨다. 인지 어휘 유형 개념을 McNeill의 언어 발달 연구에 준하여 논의하였다. 즉 아동의 어의(語義) 발달은 자작문(自作文) 형식(形式) 표현에서 시작되어 어휘 사용에 이른다는 것이다. 한편 Moran은 범세계적으로 유아들의 인지 어휘 유형은 단어의 동작적(動作的) 특성에 주로 의거한다는 것을 발견했는데 이는 언어의 효시에 관한 Piaget 나 Bruner의 이론과 일치하는 것이다. Moran의 인지 어휘 유형의 추가 개념은 Bruner의 심상(心象)(ikonic representation)에 의한 관계, 기능적 관계 (functional representation), 논리적(logical)관계를 포함한 단어의 연합 관계에 반영시켰다.

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Delay-Dependent Control for Time-Delayed T-S Fuzzy Systems Using Descriptor Representation

  • Jeung, Eun-Tae;Oh, Do-Chang;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • v.2 no.2
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    • pp.182-188
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    • 2004
  • This paper presents a design method of delay-dependent control for T-S fuzzy systems with time delays. Based on parallel distributed compensation (PDC) and a descriptor model transformation of the system, a delay-dependent control is utilized. An appropriate Lyapunov-Krasovskii functional is chosen for delay-dependent stability analysis. A sufficient condition for delay-dependent control is represented in terms of linear matrix inequalities (LMIs).