• Title/Summary/Keyword: 수학 학습 개선

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Prediction of Shore Tide level using Artificial Neural Network (인공신경망을 이용한 해안 조위예측)

  • Rhee Kyoung Hoon;Moon Byoung Seok;Kim Tae Kyoung;Oh jong yang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.1068-1072
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    • 2005
  • 조석이란, 해면의 완만한 주기적 승강을 말하며, 보통 그 승강은 1일 약 2회이나, 곳에 따라서는 1일 1회의 곳도 있다. 조석에 있어서는 이 밖에 수일의 주기를 갖는 약간 불규칙한 승강, 반년, 또는 1년을 주기로 하는 다소 규칙적인 승강까지 포함하여 취급한다. 그러나, 각 항만마다 갖는 특정적인 주기인 수분내지 수십분의 주기의 승강은 조석으로 취급하지 않는다. 조석은 해양의 제현상 중에서 예측가능성이 가장 큰 현장으로 이는 조석이 천체의 운행과 연관되기 때문이다. 조석이란 지구로부터 일정한 거리에서 각 고유의 속도를 가지는 적도상을 운행하는 무수의 가상천체에 기인하는 규칙적인 개개의 조석을 합성한 것이며 이 개개의 조석을 분조(Constituent)라 한다. 여기에서 사용되는 신경망 모형은 입력과 출력으로 구성되는 블랙박스 모형으로서 하나의 시스템을 병렬적으로 비선형적으로 구축할 수 있다는 장점 때문에 과거 하천유역의 강우-유출과정에서의 경우 유출현상을 해석하고 유출과정을 모형화 하기 위해 사용하였다. 본 연구에서는 기존의 조위 예측방법인 조화분석법이 아닌 인공신경망을 이용하여 조위예측을 실시하였다. 학습이라는 최적화 과정을 통해 구조와 기능이 복잡한 자연현상을 그대로 받아들여 축적시킴으로써 이를 지식으로 현상에 대한 재현능력이 뛰어나고, 또한 신경회로망의 연상기억능력에 적용하여 수학적으로 표현이 불가능한 불확실한 조위곡선에 적용하기에 유리한 장점을 가지고 있다. 본 연구의 목적은 과거 조위이론을 통해 이루었던 조위예측을 우리가 알기 쉬운 여러 기후인자(해면기압, 풍향, 풍속, 음력 등)에 따른 조위곡선을 예측하기 위해 신경망 모형을 이용하여 여수지역의 조위에 적용하여 비교 분석하고자 한다. May가 제안한 공식을 더 확장하여 적용할 수 있는 실험 공식으로 개선하였으며 다양한 조건에 대한 실험을 수행하여 보다 정밀한 공식으로 개선할 수 있었다.$10,924m^3/s$ 및 $10,075m^3/s$로서 실험 I의 $2,757m^3/s$에 비해 통수능이 많이 개선되었음을 알 수 있다.함을 알 수 있다. 상수관로 설계 기준에서는 관로내 수압을 $1.5\~4.0kg/cm^2$으로 나타내고 있는데 $6kg/cm^2$보다 과수압을 나타내는 경우가 $100\%$로 밸브를 개방하였을 때보다 $60\%,\;80\%$ 개방하였을 때가 더 빈번히 발생하고 있으므로 대상지역의 밸브 개폐는 $100\%$ 개방하는 것이 선계기준에 적합한 것으로 나타났다. 밸브 개폐에 따른 수압 변화를 모의한 결과 밸브 개폐도를 적절히 유지하여 필요수량의 확보 및 누수방지대책에 활용할 수 있을 것으로 판단된다.8R(mm)(r^2=0.84)$로 지수적으로 증가하는 경향을 나타내었다. 유거수량은 토성별로 양토를 1.0으로 기준할 때 사양토가 0.86으로 가장 작았고, 식양토 1.09, 식토 1.15로 평가되어 침투수에 비해 토성별 차이가 크게 나타났다. 이는 토성이 세립질일 수록 유거수의 저항이 작기 때문으로 생각된다. 경사에 따라서는 경사도가 증가할수록 증가하였으며 $10\% 경사일 때를 기준으로 $Ro(mm)=Ro_{10}{\times}0.797{\times}e^{-0.021s(\%)}$로 나타났다.천성 승모판 폐쇄 부전등을 초래하는 심각한 선

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The Improvement of Convergence Characteristic using the New RLS Algorithm in Recycling Buffer Structures

  • Kim, Gwang-Jun;Kim, Chun-Suck
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.4
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    • pp.691-698
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    • 2003
  • We extend the sue of the method of least square to develop a recursive algorithm for the design of adaptive transversal filters such that, given the least-square estimate of this vector of the filter at iteration n-l, we may compute the updated estimate of this vector at iteration n upon the arrival of new data. We begin the development of the RLS algorithm by reviewing some basic relations that pertain to the method of least squares. Then, by exploiting a relation in matrix algebra known as the matrix inversion lemma, we develop the RLS algorithm. An important feature of the RLS algorithm is that it utilizes information contained in the input data, extending back to the instant of time when the algorithm is initiated. In this paper, we propose new tap weight updated RLS algorithm in adaptive transversal filter with data-recycling buffer structure. We prove that convergence speed of learning curve of RLS algorithm with data-recycling buffer is faster than it of exiting RLS algorithm to mean square error versus iteration number. Also the resulting rate of convergence is typically an order of magnitude faster than the simple LMS algorithm. We show that the number of desired sample is portion to increase to converge the specified value from the three dimension simulation result of mean square error according to the degree of channel amplitude distortion and data-recycle buffer number. This improvement of convergence character in performance, is achieved at the B times of convergence speed of mean square error increase in data recycle buffer number with new proposed RLS algorithm.

An Analysis of Pre-Service Teachers' Understanding of the real number e (예비교사들의 실수 e에 대한 이해)

  • Choi, Eunah;Lee, Hong-Youl
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.495-519
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    • 2017
  • The purpose of this study is to analyze the concept of the real number e and to investigate the understanding of pre-service teachers about the real number e. 28 pre-service teachers were asked to take a test based on the various ideas of the real number e and 8 pre-service teachers were interviewed. The results of this study are as follows. First, a large number of pre-service teachers couldn't recognize relation between the formal definition and the representations of the real number e. Secondly, pre-service teachers judged appropriately for the irrationality and the construction impossibility of the real number e, but they couldn't provide reasonable evidence. Lastly, pre-service teachers understood the continuous compounding context and exponential function context of the real number e, but they had a difficulty in understanding the geometric context and natural logarithm context of the real number e.

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The Construction of an Abstract Schema in the Similar Mathematical Problem Solving Process (유사 문제 해결 과정에서 추상적 스키마 구성하기)

  • Kang, Jeonggi;Jun, Youngbae;Roh, Eunhwan
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.219-240
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    • 2013
  • It is the aim of this paper to suggest the method constructing abstract schema in similar mathematical problem solving processes. We analyzed closely the existing studies about the similar problem solving. We suggested the process designing a method for helping students construct an abstract schema. We designed the teaching method constructing abstract schema by appling this process to a group of similar problems chosen by researchers. We applied the designed method to a student. And we could check the possibility and practice of designed teaching method by observing the student's reaction closely.

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Development of cloud-based multiplication table practice application using data visualization (데이터 시각화를 적용한 클라우드 기반 곱셈구구 연습 애플리케이션 개발)

  • Kang, Seol-Joo;Park, Phanwoo;Bae, Youngkwon
    • Journal of The Korean Association of Information Education
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    • v.26 no.4
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    • pp.285-293
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    • 2022
  • The COVID-19 outbreak, which took longer than expected, caused considerable damage to students' basic academic ability in mathematics. In this paper, a multiplication table practice application that can help students improve their basic multiplication arithmetic skills has been developed based on a cloud-service. The performance of the application was improved by integrating the Flutter framework, Google Cloud, and Google Sheets. As a result of applying this application to 72 6th graders in elementary schools located in K Metropolitan City, for one week. students' spending time required for solving multiplication table problems was reduced by more than 28% compared to the initial period, while students' learning data was able to be accurately collected without errors. It is hoped that the development case conducted through the Flutter framework in this study can lead to the development of other educational learning applications.

Analysis of Misunderstood Types Relate to Trigonometric Function and Its Teaching Method (삼각함수에 관한 오류 유형 분석과 그 지도 방법)

  • 강윤수;박수정
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.101-113
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    • 2003
  • The purpose of this study is to analyze students misunderstood types relate to trigonometric function and to devise its teaching method using GSP. To do this, we performed several steps as followings: First, we performed questionnaire survey to 70 students belong to second year at high school to find students comprehension degree about radian angle representation and trigonometric function graph. Second, we devised the teaching-learning materials relate to trigonometric function graph using GSP. And then, we used them in the class of 35 students who are at the time to learn trigonometric function in the first year at high school. Third, we conducted Questionnaire survey to students studied through teaching and learning materials using GSP. As a result of doing the survey, we found that general students were interested in the class using GSP and they could also operate computer without difficulty.

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몬테카를로 최소자승법을 이용한 확률론적 기술가치평가 모형 연구

  • Seong, Tae-Eung;Lee, Jong-Taek;Kim, Byeong-Hun;Park, Hyeon-U
    • Proceedings of the Korea Technology Innovation Society Conference
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    • 2017.11a
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    • pp.715-721
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    • 2017
  • 기술거래 시장의 활성화에 대한 연구개발서비스 분야 종사자들의 관심이 높아지고 있으며, 특히 공공 및 민간 분야의 휴면 기술(특허)에 대한 이전 거래를 통해 불필요한 특허유지 비용을 줄이고 부가적인 기술료 창출 효과를 거둘 수 있다. 본 연구에서는 현재까지 기술이전(거래), 현물출자, 기술금융(융자, 담보대출) 등 다양한 목적으로 실무에서 활용되어 온 기술가치평가 모형의 한계점을 고민해 보고, 이에 대한 개선방안으로서 몬테카를로 최소자승법 기반의 확률론적 가치평가 모형을 제시한다. 기존의 가치평가 모형은 평가산출을 위한 입력변수의 확정적 값들에 기반하여 가치액이 산출되었으나, 대표적 기법인 현금흐름 할인법이나 로열티공제법의 경우 미래의 수익예상기간, 예상매출액 등에서는 불확실성(uncertainty)가 내재되어 있다. 따라서 특정 분포(distribution)에 대한 확률론적 가능성을 가정하고 이에 대한 수학적 최적화 논리로부터 몬테카를로 최소자승 관게에 의한 변수결정 및 가치평가액 산정을 할 수 있는 평가모듈을 개발한다. 향후 연구에서는 기 평가된 사례결과를 딥러닝(deep learning) 방식으로 학습하여, 발생가능성 높은 각 변수값의 범위들을 산출하고 이로부터 기술가치 범위를 추론하는 시스템을 개발하는 것도 가능할 것으로 기대된다.

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Enhancement of Artillery Simulation Training System by Neural Network (신경망을 이용한 포병모의훈련체계 향상방안)

  • Ryu, Hai-Joon;Ko, Hyo-Heon;Kim, Ji-Hyun;Kim, Sung-Shick
    • Journal of the military operations research society of Korea
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    • v.34 no.1
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    • pp.1-11
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    • 2008
  • A methodology for the improvement of simulation based training system for the artillery is proposed in this paper. The complex nonlinear relationship inherent among parameters in artillery firing is difficult to model and analyze. By introducing neural network based simulation, accurate representation of artillery firing is made possible. The artillery training system can greatly benefit from the improved prediction. Neural networks learning is conducted using the conjugate gradient algorithm. The evaluation of the proposed methodology is performed through simulation. Prediction errors of both regression analysis model and neural networks model are analyzed. Implementation of neural networks to training system enables more realistic training, improved combat power and reduced budget.

Educational Method of Computational Thinking Processes using Physical Teaching Devices (피지컬 교구를 활용한 컴퓨팅적 사고과정 교육방법)

  • Hur, Kyeong
    • Journal of Practical Engineering Education
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    • v.10 no.1
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    • pp.35-39
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    • 2018
  • More and more universities are enforcing SW education for non-major undergraduates. However, they are experiencing difficulties in educating non-major students to understand computational thinking processes. In this paper, we did not use the mathematical operation problem to solve this problem. And we proposed a basic problem-solving process teaching method based on computational thinking using simple physical devices. In the proposed educational method, we teach a LED circuit using an Arduino board as an example. And it explains the problem-solving process with computational thinking. Through this, students learn core computational thinking processes such as abstraction, problem decomposition, pattern recognition and algorithms. By applying the proposed methodology, students can gain the concept and necessity of computational thinking processes without difficulty in understanding and analyzing the given problem.

A Study of the Elementary School Teachers' Perception about Problem Situations in Real-Life Context of Subtraction of Natural Numbers (자연수 뺄셈의 실생활 맥락 문제 상황에 대한 초등교사의 인식)

  • Do, Joowon
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.197-211
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    • 2022
  • In this study, we tried to find a way to improve the pedagogical decision-making practices related to the presentation order of 'large number' and 'small number' in problem situations of subtraction of the natural number. For this purpose, the elementary school teachers' perception about problem situations in real-life context of subtraction of natural numbers was investigated, and the collected data were analyzed qualitatively and quantitatively to identify teachers' pedagogical perceptions. As a result of this study, it was confirmed the need for consideration on how to set up a problem situations in real-life context of subtraction so that students can develop their ability to solve various types of problems. To this end, not only in a problem situation of subtraction where you have to think of 'large number' first and 'small number' later, but also about the introduction of problem situations in real-life context of subtraction in which you think about 'small number' first and 'large number' later, which often appears in real-life. You will need to recognize the need. And you should have a pedagogical view on this. The results of this study will be able to contribute to the preparation of pedagogical method that can expand the understanding of various problem situations where subtraction is applied from the lower grades of elementary school.