• Title/Summary/Keyword: Reflective abstraction

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수학 영재 판별 도구 개발 - 수학 창의적 문제 해결력 검사를 중심으로 -

  • 김홍원
    • Journal of Gifted/Talented Education
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    • v.8 no.2
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    • pp.69-89
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    • 1998
  • The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

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The Educational Program Development of Creativity in Science-Technology-Society for Gifted and Talented Children based on GENEPLORE Creative Thinking Process and Theory of Knowledge Development (GENEPLORE 창의적 사고 과정 모델과 지식발달론에 기초한 영재아 과학-기술-사회(STS) 창의력 교육 프로그램 개발)

  • 전명남
    • Proceedings of the Korea Contents Association Conference
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    • 2003.05a
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    • pp.74-87
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    • 2003
  • A model of STS (Science-Technology-Society) creativity education program for the gifted and talented children has been developed, based on GENEPLORE thinking process and Knowledge development theory. The GENEPLORE creative thinking process, developed by Finke et al. (1990, 1992), has two phases such as generative phase and exploratory phase. And The knowledge development theories of Piaget (1977) and Gallagher(1981) assume that knowledge-bases are developed on the basis of empirical as well as reflective abstraction, which could imply that knowledge-bases are crucial in creative thinking process. The creativity education model for the gifted and talented of the present study attempted to integrate 'the individual, creative thinking process, and social/scientific technology' by employing topics of the science-technology-society such as computer, network, biotech, robot, e-business, e-education, e-health, nanotech and entertainment and the structure and contents of the program are proposed

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A Study on the Expression of Techno Fashion in Modern Fashion (현대패션에 나타난 테크노패션의 표현성에 관한 연구)

  • Lee, Eun-Kyung
    • Korean Journal of Human Ecology
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    • v.13 no.1
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    • pp.173-183
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    • 2004
  • The techno fashion presents the new formative beauty of fashion with a stream of light and dynamic phenomenon on human body. Also it opens the futurism arising from the combination of technology with fashion. The purpose of this paper was to investigate the internal trend and external form that techno-fashion aims at, and to analyze the expressive characteristics in design. The results were as follows. ${\cdot}$ The techno fashion created the new formative artifact through the dismantlement and reorganization of form. ${\cdot}$ The techno fashion used the composition of the geometrical abstraction as an expression of beauty symbolizing the modernity. ${\cdot}$ The techno fashion created the diverse colors by using the light along with colors of gold, silver, metal, intense fundamental colors, and artificial rotor. ${\cdot}$ The techno fashion expressed the dynamism, brilliance, youthfulness, futuristic image by using the sense of dazzling brightness by means of metal. ${\cdot}$ The techho fashion along with the development of science and technology made the atmosphere of silhouette of clothes different by expanding the category of materials more widely, together with the possibility of continual emergence of new material. ${\cdot}$ The techno fashion expressed the dynamic movement on clothes and gave the sense of periodical rhythm by the reflective action of light when they were clad. ${\cdot}$ The techno fashion grafted wearable technology into the fashion and made the information instruments recognized as a concept of clothes. ${\cdot}$ The techno fashion pursued the values of not only the beauty of the simple geometrical design, but also the values of functionality and expressed the image of high quality of life through the harmony of technology with human.

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A study on constructing a instructional sequence and content structure based on informal context of mathematical syllabus (비형식적 상황을 이용한 내용구조의 표현과 지도계열의 구성)

  • Shin, Hyun-Sung
    • Journal of the Korean School Mathematics Society
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    • v.8 no.3
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    • pp.357-366
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    • 2005
  • This Study suggests some ideas how we develop a network of content structure based on informal context and method how we decide a sequence of mathematical syllabus from those Structures. 10th grade students in the process conceptual development was observed and interviewed in 2 hour teaching and learning experiment. Three related characteristics of student's thought in structuring math. Content and sequencing it were investigated as follows : (a) the reasoning that they do reflective abstraction well(or do not well) in acquisition of conceptual knowledge. (b) the method that teacher can use resuits in (a) to organize the content structure. (c) the ways that teacher find the process knowledge in informal content structure. That is, this study investigated the way we, curriculum designer, can create well defined content structure and instructional sequence strongly based on the learners' understanding.

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Two Perspectives in Developing a Visualization Environment (시각화 환경의 개발에 대한 두 관점)

  • 고상숙
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.745-752
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    • 1998
  • 컴퓨터의 급속한 보급으로 시각화는 수학 교육자사이의 논의에 자주 등장하는 소재가 되었다. 우리는 다양한 소프트웨어를 사용하여 준비한 수업에 학생들로 임하게는 하지만 거의 그들의 사고 발달과정에는 관심을 갖지 못하고 있다. 이 논문은 구성주의(Constructivism)와 정보처리체계(Information-Processing System)에 입각하여 수학의 시각화를 생각해보고 어떻게 시각화 환경을 준비해야하는지 논해보고자 하였다. 구성주의의 시각화에서는 반영적 추상(reflective abstraction), 반복되는 경험(repeated experience), 그리고 지식 위계성이 학습의 기능 체계를 이루므로 발견적 학습을 통해 학생 스스로 의미를 구성할 수 있도록 Thomas (1992)의 세 가지 제안을 이용하여 수업을 준비할 수 있다. 정보처리체계에서는 지식은 서술적인 것과 과정적인 것으로 나뉘어지고, 시각적 표상을 수록하고 삭제하는 과정과 조작 가능한(manipulative) 환경과의 상호작용으로 기호적 시각으로 표상을 변화하는 과정을 통해 개념을 습득하게된다. 시각화는 스키마와 개념상을 통해서 일어난다. 그래프, 애니메이션, 그리고 다른 시각적 표상 등은 이 개념상에 직접적 효과를 주므로 매우 중요하다. 이런 논란을 바탕으로 교사는 반영적 추상화를 위해 시간을 충분히 제공해야하고, 비슷한 문제를 가지고 여러번 시도를 할 수 있게 하며, 학생을 잘 관찰하여 그들의 지식 위계성을 이해하고 방향을 제시하며, 논리적이고 잘 연결된 시각적 표상을 제공하고, 상징적 사관으로 확장할 수 있게 조작할 수 있는 환경에서 시각화에 대해 학생과 많은 대화를 하도록 수업을 준비해야한다. 그한 예로 타원을 가르치기 위해 몇 가지 테크놀로지를 활용한 시각화 환경을 구성해보았다.ates of bisected bovine embryos by micromanipulator and micropipett were 29.2% and 19.1%, respectively. The rates of non-bisection embryos(46.7%) were significantly higher than those of bisection embryos. 2. The in vitro developmental rates of bisected bovine embryos by micromanipulator, micropipett and pipetting method were 32.4%, 19.4% and 25.6%, respectively.3. The in vitro developmental rates of with and without-zona pellucida of bisected bovine embryos by raicromanipulator were 30.8% and 25.0%, respectively. The rates of nonbisection embryos(53.1%) were significantly higher than those of bisection embryos.랑크톤 군집내 종 천이와 일차생산력에 크게 영향을 미칠 수 있음을 시사한다.TEX>5.2개)였으며, 등급별 회수율은 각각 GI(8.5%), GII(13.4%), GIII(43.9%), GIV(34.2%)로 나타났다.ments of that period left both in Japan and Korea. "Hyojedo" in Korea is supposed to have been influenced by the letter design. Asite- is also considered to

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A Case Study on Instruction for Mathematically Gifted Children through The Application of Open-ended Problem Solving Tasks (개방형 과제를 활용한 수학 영재아 수업 사례 분석)

  • Park Hwa-Young;Kim Soo-Hwan
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.117-145
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    • 2006
  • Mathematically gifted children have creative curiosity about novel tasks deriving from their natural mathematical talents, aptitudes, intellectual abilities and creativities. More effect in nurturing the creative thinking found in brilliant children, letting them approach problem solving in various ways and make strategic attempts is needed. Given this perspective, it is desirable to select open-ended and atypical problems as a task for educational program for gifted children. In this paper, various types of open-ended problems were framed and based on these, teaming activities were adapted into gifted children's class. Then in the problem solving process, the characteristic of bright children's mathematical thinking ability and examples of problem solving strategies were analyzed so that suggestions about classes for bright children utilizing open-ended tasks at elementary schools could be achieved. For this, an open-ended task made of 24 inquiries was structured, the teaching procedure was made of three steps properly transforming Renzulli's Enrichment Triad Model, and 24 periods of classes were progressed according to the teaching plan. One period of class for each subcategories of mathematical thinking ability; ability of intuitional insight, systematizing information, space formation/visualization, mathematical abstraction, mathematical reasoning, and reflective thinking were chosen and analyzed regarding teaching, teaming process and products. Problem solving examples that could be anticipated through teaching and teaming process and products analysis, and creative problem solving examples were suggested, and suggestions about teaching bright children using open-ended tasks were deduced based on the analysis of the characteristic of tasks, role of the teacher, impartiality and probability of approaching through reflecting the classes. Through the case study of a mathematics class for bright children making use of open-ended tasks proved to satisfy the curiosity of the students, and was proved to be effective for providing and forming a habit of various mathematical thinking experiences by establishing atypical mathematical problem solving strategies. This study is meaningful in that it provided mathematically gifted children's problem solving procedures about open-ended problems and it made an attempt at concrete and practical case study about classes fur gifted children while most of studies on education for gifted children in this country focus on the studies on basic theories or quantitative studies.

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