• Title/Summary/Keyword: 함수지도

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그래핑 계산기를 활용한 수학개념 연계지도의 실제 - 연립방정식과 일차함수 단원을 중심으로 -

  • Kim, Jeong-Hui;Seo, Myeong-Hui;Park, Yong-Beom
    • Communications of Mathematical Education
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    • v.10
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    • pp.107-124
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    • 2000
  • 정보화 시대의 수학 교육은 수학을 체험해 볼 수 있게 하여(Doing Mathematics) 수학적 힘을 향상시키는 데 초점을 두어야 한다. 이를 위해서는 수학의 기본 지식 ${\cdot}$ 추론 능력 ${\cdot}$ 문제 해결력 ${\cdot}$ 수학적 아이디어의 표현 및 교환 능력 그리고 사고의 유연함 ${\cdot}$ 인내 ${\cdot}$ 흥미 ${\cdot}$ 지적 호기심 ${\cdot}$ 창의력을 길러 주는 다양한 교수 ${\cdot}$ 학습 방법이 필요하다. 본 연구는 연립방정식과 일차함수 단원에서 그래핑 계산기를 활용하여 다양한 표상을 통한 수학 개념의 연계지도와 수학 학습 태도 개선을 위한 교수 ${\cdot}$ 학습 모델을 구안 ${\cdot}$ 적용하는 데 주안점을 두고자 한다.

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A Study on the Teaching of 'Function' utilizing the Graph Art - Case study focusing on the activities of Ulsan WISE Science Camp - (Graph Art를 활용한 함수 지도에 관한 연구 - 울산 WISE 과학캠프활동을 중심으로 한 사례연구 -)

  • Chung, Young-Woo;Kim, Boo-Yoon
    • The Mathematical Education
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    • v.51 no.3
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    • pp.197-210
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    • 2012
  • In this study, we will develop and implement the teaching program of 'Function', on the subject of "Poster-Making utilizing the Graph Art" in the Math Camp for middle-school students. And we will examine the didactical significance through student's activities and products. The teaching program of 'Function' utilizing the Graph Art can be promoted self-directly the understanding of 'Function' concept and the ability for handling 'Function'. In the process of drawing up the graph art, in particular, this program help students to promote the ability for problem-solving and mathematical thinking, and to communicate mathematically and attain the his own level. Ultimately, this program have a positive influence upon cognitive and affective and areas with regard to mathematics.

Urban Mobility Simulation (도시 교통 시뮬레이션)

  • Kim, Kyoung-Ah;Kim, Duk-Su;Yoon, Sung-Eui
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.4
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    • pp.23-30
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    • 2011
  • We propose an intelligent ribbon road network for automatic vehicle simulation, and a real-time algorithm for large-scale, realistic traffic simulation based on artificial energy functions. Our method reconstructs a road network automatically from both GIS (Geographic Information System) real-world data and synthetic models. Such automatic road network helps us to easily simulate almost every possible scenario such as intersections, ramps, etc. In order to simulate agents' movement, we design car-environment interaction energy and car-car interaction energy functions. Car agents move along the road network according to the proposed energy functions while avoiding collisions with other car agents.

An Instruction of the Underachieved Students of using Graphic Calculator: A Case Study (그래프 계산기를 활용한 수학 부진아 지도: 사례 연구)

  • 나귀수
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.167-181
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    • 1999
  • The aim of this study is to investigate the influence of graphic calculator in the teaming of function of the underachieved students in the second grade of middle school. Under this purpose of the study, we devised the instruction-plan which incorporates the using of graphic calculator into the traditional paper-and-pencil teaming environments, and executed the function-instruction with the underachieved students according to the devised instruction-plan. During the lesson hours, we observed and analysed the contributions and the carefulness of using graphic calculator in the learning of function of the underachieved students. Furthermore, we carried out the pre-test and the post-test to examine the effects of using graphic calculator in the learning of function of the underachieved students.

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A Study on Teaching Methods of Trigonometric Functions through Experimental Mathematics measuring height and width of buildings (건물의 높이.너비 측정하기 체험수학 활동을 통한 삼각함수 지도방안)

  • Kim, Ki-Won;Kim, Mi-Na
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.785-801
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    • 2009
  • The education of mathematics is comprised of formal thoughts so students lose interest and they don't have a chance to have a liberal mind. To solve this problem, recently, the flow of mathematic education is changing from formal mathematics to experimental mathematics, which focuses on student's activity and experience. Experimental mathematics can improve student's interest and participation. This study is about teaching methods of trigonometric functions through experimental mathematics measuring height and width of buildings. For measuring height of buildings we use clinometer and for measuring width of buildings we developed a mathematical tool with which we can measure angle for width of buildings. Through this activity, students obtained an interest in mathematics and they gained a positive attitude for the lesson. If we use this experimental mathematics method in high school, it's possible to reduce fears of mathematics and to increase an interest for mathematics.

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The Developing Method of Map Outline Using Caricature Generation Algorism (캐리커처 생성 알고리즘을 이용한 지도 외형선 생성 방법)

  • Kim, Sung-Kon
    • Archives of design research
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    • v.20 no.3 s.71
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    • pp.345-354
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    • 2007
  • Sometimes characterized graphic map rather than realistic graphic map can help users to understand information more easily. This paper tried to reveal the relation between the methodology to create outline on the map using caricature automatic algorism and level of human cognition. Caricature algorism such as exaggeration transformation algorism, joint transformation algorism and simplification algorism were used to create outline on the map. In order to apply exaggeration transformation algorism and joint transformation algorism, the method to create average form of the object were developed. We survey how users recognize the similarity of the characterized map with the real map when realistic map is simplified by certain value of simplification rate and transformed into certain value of exaggeration rate or joint transformation rate. We also survey how users recognize the similarity differently according to the scale of the map. As a result of this study, the method to calculate the optimal data is developed for users to recognize caricatured map effectively by shifting scale. This data can be used as basic data, when map developers create outline of map with programming code on computer

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Boundary-preserving Stereo Matching based on Confidence Region Detection and Disparity Map Refinement (신뢰 영역 검출 및 시차 지도 재생성 기반 경계 보존 스테레오 매칭)

  • Yun, In Yong;Kim, Joong Kyu
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.5
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    • pp.132-140
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    • 2016
  • In this paper, we propose boundary-preserving stereo matching method based on adaptive disparity adjustment using confidence region detection. To find the initial disparity map, we compute data cost using the color space (CIE Lab) combined with the gradient space and apply double cost aggregation. We perform left/right consistency checking to sort out the mismatched region. This consistency check typically fails for occluded and mismatched pixels. We mark a pixel in the left disparity map as "inconsistent", if the disparity value of its counterpart pixel differs by a value larger than one pixel. In order to distinguish errors caused by the disparity discontinuity, we first detect the confidence map using the Mean-shift segmentation in the initial disparity map. Using this confidence map, we then adjust the disparity map to reduce the errors in initial disparity map. Experimental results demonstrate that the proposed method produces higher quality disparity maps by successfully preserving disparity discontinuities compared to existing methods.

The Translation Ability of Functional Expressions of High School Students according to the level of Mathematics (수학 성취 수준에 따른 고등학생들의 함수적 표현의 번역 능력)

  • Chun, You Young;Lim, Daekeun;Ryu, Hyunah
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.141-155
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    • 2013
  • Process to translate into other forms in the form of expression for function is important in the development of functional thinking. Also it should be emphasized on the teaching of the function. This study will identify the translation ability of functional expressions and errors in the process to translate. The purpose of this study is to suggest important implications for the teaching and learning of function. To do this, we lead high school students perform the task to examine the translation ability. Then we compute a percentage of correct answers for each question and analyze the types of errors and their causes.

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교사양성대학 수학교육과 '해석학' 강좌 운영 -교육과정 및 교수학습 방법개발과 관련한-

  • Lee, Byeong-Su
    • Communications of Mathematical Education
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    • v.15
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    • pp.23-28
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    • 2003
  • 실수계와 n-차원 벡터 공간을 대수적 특성, 순서적 특성 그리고 위상적 특성을 중심으로 전개하고, 실변수 실가 함수와 n-차원 벡터 공간을 정의역으로 하는 실가함수를 연속성 (미분가능성), 단조성 그리고 볼록성을 중심으로 내용을 다룬다. 특히 실생활과 관련하여 이론을 전개하여 학습을 지도할 수 있는 교육과정을 개발하고, 직관적인 사고와 수리 논리적인 사고의 적절한 배합을 통해 학습자들이 적극적으로 학습에 임할 수 있는 교수 학습 방법을 개발하는 것을 목적으로 한다.

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