• Title/Summary/Keyword: 수학적 변화

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An analysis of changing interests in mathematics and strategic thinking reflected in small group drawing activities using graphs and inequations - With Grafeq software - (그래프와 부등식 영역의 소집단 그림그리기 활동에서 나타나는 수학에 대한 흥미변화 및 전략적 사고분석 -Grafeq 활용을 중심으로-)

  • Shin, In-Sun;Park, Kyung-Min
    • Communications of Mathematical Education
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    • v.26 no.2
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    • pp.177-203
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    • 2012
  • The purpose of this research was to look at whether small group drawing activities can be applied to learning content that combine mathematics and art, by analyzing the changes in $10^{th}$ grade students' interests in mathematics and particular features of their strategic thinking that were reflected in small group drawing activities using graphs and inequations. The results of the study are as follows: 1. The small group drawing activity using graphs and inequations demonstrated that students interests in mathematics could experience positive changes. 2. The small group drawing activity using graphs and inequations was effective in stimulating the students' strategic thinking skills, which are higher level thinking activities necessary for creating problem solving. As the students went through the whole process of accomplishing a complete goal, the students engaged in integrated thinking activities that brought understandings of basic graphs and inequations together, and were also found to use such higher level thinking functions needed in achieving creative problem solving such as critical thinking, flexible thinking, development-oriented thinking, and inferential thinking. 3. The small group drawing activity using graphs and in equations could be expected to constitute learning content that integrate mathematics and art, and is an effective solution in boosting students' strengths in mathematics by way of activities that consider students' unique cognitive and qualitative peculiarities and through integration with art.

A Study on the Effect of playing Number Puzzle to Develop Mathematical Creativity and Creative Attitude in Mathematics for 6th Grader (숫자퍼즐 활동이 초등학교 6학년 학생들의 수학적 창의성과 수학에서의 창의적 태도에 미치는 영향)

  • Baek, Tae Jin;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.93-109
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    • 2018
  • The purpose of this study is to develop the number puzzle program and the mathematical creativity test and to analyze the effects of the mathematical creativity and the creative attitude in mathematics. To accomplish this aim, the six-grade students elementary school of thirty-six participated and this students participated Magic square, Sudoku, KenKen Puzzle activities in to the morning activity time for 30 minutes every morning and the pre-test of before activity and the post-test of after activity were collected. The number puzzle activity helps improve the mathematical creativity and the creative attitude in mathematics of the elementary school students and improve the mathematical creativity of for female students rather than for male students.

A Mathematical Model Proposed for the Prediction of the Fate of Priority Organic Pollutants Spilled in Streams: Dynamic Simulations and Sensitivity Analysis (하천에 유입된 유독성 유기오염물의 농도분포를 예측하기 위한 수학적 모형의 개발: Dynamic simulations 및 민감도 분석)

  • Ko, Kwang Baik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.2
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    • pp.265-274
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    • 1992
  • A mathematical model was proposed to predict the fate of a priority organic pollutant, anthracene, accidently spilled into a stream. The model consists of 6 differential equations with 5 input variables and 9 rate constants. Volatilization, biodegradation, adsorption/desorption, photodegradation as well as the convective inputs and outputs are included in the model. As a result of a series of dynamic simulations and sensitivity analyses under the given conditions, the concentrations of the organic chemical could be predicted within a detection limit in the stream. It was also suggested that the rate constant for diffusion/transport and adsorption rate constant are the most influential ones for predicting the chemical conentrations in dissolved and particulate phase. The model proposed appears to be a useful tool for assessing chemical spills.

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An Effect of the Constructivist Discussion on Learning Attitude in Mathematics and Children's Mathematics Achievement (구성주의적 토의식 학습이 수학에 대한 태도 및 학업성취도에 미치는 영향)

  • Hwang, Hye-Jin;Hwang, Hang-Kyun
    • Education of Primary School Mathematics
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    • v.11 no.1
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    • pp.59-74
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    • 2008
  • Mathematical knowledge is not exact definition but the supposition. Considering the nature of mathematics, realization of mathematics teaching which pursues critical thinking and rationality would be our problems. Accordingly, I set the subject of this study whether learning of constructivist discussion, which induces reflective thinking through communicating with others by expression with language of mathematical thinking in discussion, is effective against attitude on Mathematics and Mathematics achievement and study themes are as follows; A. Is learning of constructivist discussion effective against attitude on Mathematics? A-1. Is there any difference of self-conception on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-2. Is there any difference of attitude on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-3. Is there any difference of learning habits on the subject between experimental group applied to learning of constructivist discussion and comparative group? B. Is learning of constructivist discussion effective against mathematics achievement? The objects of study are 30 children of one class in the third grade of elementary school in Seoul for experimental group, and another one class with 30 children is comparative group. Study results and conclusion based on those results are as follows; First, students make reflective thinking through communication each other, therefore, instructor should create discussion environment for communication to express and form their mathematical thinking. Next, adaptability in student's mathematics activities and mathematical ideas should be permissible, and those should become divergent thinking. However, this study analyzed comparative results from only two each class having enrollment of thirty in the third grade. Accordingly, results from students in various grades and environment that are required to get more significant conclusion statistically.

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Design of Intelligent Fuzzy Controller for Nonlinear System Using Genetic Algorithm (유전 알고리즘을 이용한 비선형 시스템의 지능형 퍼지 제어기 설계)

  • 김문환;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.247-250
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    • 2004
  • 본 논문은 비선형 시스템의 새로운 퍼지 제어기 설계 기법을 제안한다. 퍼지 제어기는 비선형 시스템을 제어하는데 많이 사용되는 기법 중에 하나이다. 퍼지 제어기를 설계하는 것은 시스템에 대한 깊은 수학적인 접근이 필요로 하기 때문에 수학적 배경 없이 설계하기 힘들다. 본 논문에서는 이를 해결하기 위해 길은 수학적인 접근이 아닌 지능적인 접근 방법을 사용하여 안정화된 퍼지 제어기의 설계하는 기법을 제안한다. 제안된 기법은 퍼지 제어기의 안정화 조건을 만족시키는 제어 파라메터를 전략 기반 유전 알고리즘을 사용하여 동정한다. 전략 기반 유전 알고리즘은 제어기의 안정화 조건을 만족시키는 해를 찾기 위해 전략적으로 교차와 돌연변이를 변화시킨다. 최종적으로 모의 실험을 통해 제안된 기법의 우수성을 확인한다.

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Elementary Teachers' Perception on the Storytelling Based Mathematics Textbooks (스토리텔링 기반 수학교과서에 대한 초등 교사 인식 조사)

  • Kim, Sung Jun;Lee, Dong Hwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.2
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    • pp.143-158
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    • 2015
  • This research was conducted with focus groups interviews targeted at elementary teacher to analyze perceptions on storytelling based mathematics textbooks. As a result, elementary school teacher recognizes the introduction of storytelling as a major change in the revised textbooks. In addition, a change in the appearance of the revised textbook, the role of the Materials package, a change of assessment items, and increased exploration activity and the experience turned out to be having a significant impact on actual classroom as much as the introduction of storytelling.

Teaching-Learning Methods articulated with mathematics in middle school (중학 수학의 연계적인 교수 학습 방법에 관한 연구 - 함수 영역을 중심으로)

  • 장이채;김태균;정인철;송주현
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.21-37
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    • 2003
  • In this paper, we improved, compared and analyzed the articulation of school mathematics. We also tried to form the theoretical basis of school mathematics by classifying and considering the articulation into vertical articulation and horizontal articulation depending on the meaning, and give an actual help. The articulation of school mathematics until now has been focused on a study of vertical articulation according to the macroscopic characteristic of mathematics, but now a study of the horizontal articulation as well as the vertical articulation should be done in consideration of the micro characteristics of mathematics and various realities of life by modifying a syllabus of the function unit and by using internet homepage. Thus, we structurally divided the articulation into vertical articulation and horizontal articulation, analyzed mathematical activities and presented actual models of each representative learning activity for smooth teaching in schools through the function unit.

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A Study on Elementary Gifted Children's Mathematical Belief (초등학교 영재교육대상자의 수학적 신념에 대한 연구)

  • Park, SungSun
    • Journal of Gifted/Talented Education
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    • v.23 no.6
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    • pp.947-963
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    • 2013
  • This study investigated the difference of mathematical beliefs between common children and the gifted children, and then the effect of current mathematics gifted education on gifted children's mathematical belief. Gifted children from institution for gifted education and school based gifted classroom, and common children from regular classroom from S-city office of education in Gyenggi province were studied for this study. The results of this study was as follows. First, there was positive correlation between mathematics performance and mathematical belief. Second, common children and gifted children had significant difference in the degree of mathematical belief. And also, mathematically gifted students had much stronger and positive mathematical belief than common students before starting gifted education program. Third, there was no significant difference in common children and gifted children on the mathematical belief after they receive gifted education, but there were negative changes in gifted children from institution for gifted education on the mathematical belief after receiving gifted education.

Flow Rate Measurement Method Using Three Vibration Sensor (세개의 진동 센서를 이용한 관내 유량 측정 방법론)

  • 김영기;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.105-110
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    • 1994
  • 본 연구에서는 기존에 제안된 유체가 흐르는 직관에 대한 수학적 모델을 이용하여 유체 속도와 파수변화사이의 관계를 얻고, 이러한 파수 변화의 측정 방법으로 세개의 센서를 이용한 방법을 제안하고자 한다.

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The Conjecture of Anti-Derivative Graph of Engineering Students (공대생의 역도함수 그래프 추측)

  • Kim, Su Min;Kim, Sun Hee
    • School Mathematics
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    • v.19 no.1
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    • pp.171-187
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    • 2017
  • To engineering students, calculus is essential knowledges and skills as a mathematical model and give a perspective to observe phenomenon in the future industrial field. However, engineering students' calculus study tends to solve problems by only applying the mechanical calculation and mathematical results. This study aimed to make engineering students realize the importance of calculus and untypical problems, by suggesting problems that could apply the mathematical concepts and principles and even solve the actual conditions of the problems. Students conjectured the anti-derivative graphs by interpreting the given derivate problems. They showed errors in this process and the errors are contributed by their mathematics leaning styles. As a result, the task would be helpful to engineering students.