• Title/Summary/Keyword: 도형성

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An Analysis of a Teacher's Formalization Procedure Based on Students' Various Solution Methods in Teaching the Area of Plane Figures (평면도형의 넓이 수업에서 학생들의 다양한 해결 방법에 근거한 교사의 형식화 도출 과정 분석)

  • Kim, SangHwa;Pang, JeongSuk;Jung, YooKyung
    • School Mathematics
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    • v.15 no.4
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    • pp.847-866
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    • 2013
  • The purpose of this study was to analyze students' various solution methods revealed in the lessons of finding out the area of plane figures, and to explore instructional implications on how to draw meaningful formalization out of such multiple methods. The teacher in this study tended to select a few solution methods that were easy for students to understand and to induce formalization. An analysis of students' solution methods and the process of formalization showed that students need to understand what parts of the length of the given plane figure they should know, and to identify the base, height, and diagonal line of the figure. The analysis also showed that it was effective to choose the solution methods that were used by many students and that could be easily transformed into a concise formula. Based on these results, this paper provides instructional suggestions for a teacher to orchestrate classroom discussion toward formalization based on students' multiple solution methods.

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An Investigation on Structural Analysis of Feldspars by Electron Diffraction Patterns (전자회절도형을 이용한 장석의 구조 분석에 대한 고찰)

  • 김윤중;이영부;박병규;이정후
    • Journal of the Mineralogical Society of Korea
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    • v.17 no.2
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    • pp.177-187
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    • 2004
  • Measurements of the lattice parameters of albite and oligoclase from electron diffraction patterns with the Au internal standard resulted in errors of less than 1 %. An electron diffraction map for natural oligoclase samples was constructed and 11 stations of zone-axes diffraction patterns were obtained. This process is indispensible for reliable TEM studies of triclinic feldspars. Utilizing the [001] cleavage plane of feldspar and the double-tilting TEM holder the following information is obtainable: Si-Al ordering and chemistry of alkali feldspars could be estimated from the $\alpha$* - * plot, where * is measured from the [001] orientation, while $\alpha$* is measured from the [100] orientation. Si-Al ordering of Na-rich plagioclase could be estimated from * [001] patterns. Structure and chemistry or Na-poor plagioclase could be estimated from existence of e-reflections, their intensity variations as well as their positional changes.

The Development of Self-Directed CAI Using Web - The main theme is the figure part of mathematics - (웹을 이용한 자기 주도적 CAI 개발 - 수학과 도형영역 중심 -)

  • Kang, Seak;Ko, Byung-Oh
    • Journal of The Korean Association of Information Education
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    • v.5 no.1
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    • pp.33-45
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    • 2001
  • In order to adapt ourselves to the Informationalization Society of twenty-first century, it is required to have ability to find quickly the necessary information and solve the problem of our own. In the field of school, it should be educated to develop learner's ability that can cope with the Informationalization Society. When a learner can study in such direction, he or she will be able to plan the learning of his own as the subject of education, and develop his ability to solve the problem by collecting and examining various information. It is self-leading learning that can make education like this possible. Through computer, especially Web site, self-directed learning can develop can develop the individuality and creativity of learners. They can collect and utilize autonomously information and knowledge. To do such an education, the program that can work out self-directed learning is needed. Therefore the program I want to develop is to reconstruct the 'figure' part of mathematics in elementary school into five steps by utilizing Web site. In the first step is to learn the concept of various shape. This step enable learners to know what figure is and how it can be utilized in our real life. The second step of dot, line and angle makes it possible that learners can consolidate the foundation of the study about figure and recognize the relation between angle and figure. In the third step of plane figure, we can study how to calculate the relation of plane figures and the area of figure with various shapes by cutting and adding them. The fourth step is about congruence and symmetry. Learners can learn to know the figure in congruence, reduction and enlargement and how it is used in our real life. In the fifth step of solid figure, we can learn the relation among the plane figure, solid figure, the body of revolution, corn and pyramid etc. controling the speed of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself. Because this program is progressed on the Web site, it is possible to learn anytime and anywhere. In addition to it, a learner can learn beyond the grade as well as do the perfect learning by controling the pace of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself.

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A Development and Application of Puzzle-Based Computer Science Learning Contents for Pre-service Teachers (초등 예비교사를 대상으로 한 퍼즐 기반 컴퓨터과학 학습 내용 개발 및 적용)

  • Oh, Jungcheol;Kim, Jonghoon
    • Journal of The Korean Association of Information Education
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    • v.18 no.3
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    • pp.391-400
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    • 2014
  • In this study, we reviewed educational trend of Puzzle-Based Learning Contents and case studies at domestic and international, and have developed Puzzle-Based Learning Contents with the contents using fundamental concepts of computer science. Thirty one prospective elementary school teachers were applied to this contents, total thirty two sessions for four months, and Torrance Tests of Creative Thinking(TTCT) verbal and figural tests were performed to evaluate the changes in creativity. The result showed that there were significant improvements in two subscales of verbal creativity, verbal creativity index, and three subscales of figural creativity, figural creativity index. In this paper, on the basis of proven effectiveness, we introduce the Puzzle-Based Learning Contents as the alternative computer science education.

An Analysis of Students' Communication in Lessons for the Geometric Similarity Using AlgeoMath (알지오매스를 활용한 도형의 닮음 수업에서 학생들의 의사소통 분석)

  • Kim, Yeonha;Shin, Bomi
    • Journal of the Korean School Mathematics Society
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    • v.26 no.2
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    • pp.111-135
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    • 2023
  • This study conducted a student-centered inquiry lesson on the similarity of figures using AlgeoMath, with student learning aspects analyzed from a communication perspective. This approach aimed to inform pedagogical implications related to teaching geometric similarity. Through utilizing AlgeoMath, students were able to visually confirm that their chosen figures were similar, experiencing key mathematical concepts such as the ratio of similarity to the area of similar figures, and congruency and similarity conditions of triangles. In the lessons applying this concept, we categorized the features of similarity learning displayed by students, as seen in the communication aspects of their exploratory activities, into 'Understanding similarity ratios', 'Grasping conditions of similarity in triangles', and 'Comparing concepts of congruency and similarity'. Through exploratory activities based on AlgeoMath, students discussed the meaning and mathematical relationships of key concepts related to similarity, such as the ratio of similarity to the area of figures, and the meaning and conditions of congruence and similarity in triangles. By improving misconceptions about the similarity of figures, they were able to develop deeper mathematical understanding. This study revealed that in teaching and learning the geometric similarity using AlgeoMath, obtaining meaningful pedagogical outcome was not solely due to the features of the AlgeoMath environment, but also largely depended on the teacher's guidance and intervention that stimulated students' thinking.

The Significance of Uniform Connectedness on Perceptual Organization (형태의 조직화에서 균질 연결성의 의의)

  • 박창호
    • Korean Journal of Cognitive Science
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    • v.15 no.2
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    • pp.17-22
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    • 2004
  • Two experiments were executed to investigate the effect of uniform connectedness systematically using the identification task of briefly exposed forms. Previous study observed negative repetition effected (i.e., NRE) in the identification task of two parentheses either connected or disconnected vertically, which was interpreted as an evidence against the hypothesis of uniform connectedness. Experiment I tested the hypothesis that NRE resulted from the Perceptual set or anticipating disconnected displays. Experiment 2 tested the hypothesis that NRE resulted from relatively shorter exposure time. Using partial report task asking participants to report only the cued target and whole report task asking them to report the whole pattern with only connected displays, experiment 1 observed NRE respectively. Experiment 2, with longer exposure time equivalent to 83% accuracy and response bias controlled by use of catch trials, obtained the same NRE. Those results seems to indicate that uniformly connected forms were processed analytically by perceivers without task demand and futhermore, the hypothesis of uniform connectedness as a principle of perceptual organization is not plausible.

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The Effectiveness of the Children's Art Creativity Program Applying Basic Shapes (기본도형을 응용한 유아 미술 창의성 프로그램 개발과 효과검증연구)

  • Youn, Jeong-Jin;Kim, Gil-Kweon
    • Korean Journal of Child Studies
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    • v.26 no.5
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    • pp.391-391
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    • 2005
  • This study focused on the development and effect of children's art creativity program applying basic three shapes : square, triangle, and circle. The program consisted of 10 art activities. A total of 55 children participated the 10 week program to examine the effectiveness of this program. The experimental design included a pretest, treatment, and post-test. Results showed that the experimental group children scored significantly higher on creativity in the posttest than the control group children.

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Courseware Design and Implementation for Shifting of Figures and Learning on Domains Based on The Web (웹을 기반으로 한 도형이동과 영역학습을 위한 코스웨어 설계 및 구현)

  • 문애리;김하진
    • Proceedings of the Korean Information Science Society Conference
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    • 2003.04a
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    • pp.863-865
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    • 2003
  • 교육정보화의 실현이라는 과제가 현재의 학교현장에 필요한 만큼 제7차 교육과정의 시작과 더불어 학습자의 지식과 능력을 육성하기 위한 미리 계획된 WBI(Web based Instruction)를 기반으로 한 교수 모형의 필요성이 강조된다. 본 연구는 WBI의 교육적 기능을 충분히 반영하여 교실에서 교사가 사용하기 쉽고 효율적인 학습자료를 구현하여 웹 환경이 조성된 교실에서 활용할 수 있도록 하였다. 이러한 구현을 위한 프로그램으로는 웹 환경에서 실행하는데 무리가 없고 소용량으로 에니메이션 효과를 극대화 할 수 있는 Flash MX를 사용하였고, 고등학교 ‘수학10-나’의 내용 중 교과서와 칠판만을 사용하여 수업하는 데는 한계가 있는 과정인 ‘도형의 이동과 부등식의 영역’을 주로 개발하였다. 학습자들은 학교에서 수업한 내용을 웹 환경을 이용하여 개별학습 및 반복학습을 할 수 있고, 교사들은 교실이나 멀티미디어실에서 웹을 통하여 본 연구에서 구현한 프로그램을 사용함으로 학교 수업의 효율성을 높이고자 한다.

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