• 제목/요약/키워드: mathematical modeling learning

검색결과 104건 처리시간 0.027초

수리계획법 학습을 위한 부분집합총합문제 기반 퍼즐 게임 개발 (Developing a Subset Sum Problem based Puzzle Game for Learning Mathematical Programming)

  • 김준우;임광혁
    • 한국콘텐츠학회논문지
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    • 제13권12호
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    • pp.680-689
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    • 2013
  • 최근 즐거움과 학습 효과를 동시에 제공하는 교육용 기능성 게임이 많은 주목을 받고 있다. 그러나 대부분의 교육용 게임들을 유아나 아동들을 대상으로 하고 있고, 고등 교육에서 이러한 게임을 활용하는 것은 여전히 어려운 실정이다. 반면, 본 논문은 대학생들에게 수리계획법을 가르치는데 활용할 수 있는 교육용 게임을 개발하고자 한다. 잘 알려져 있듯이, 대부분의 퍼즐 게임들은 연관된 최적화 문제로의 변형이 가능하며, 본 논문에서는 부분집합총합문제 기반 교육용 퍼즐 게임을 제안한다. 이 게임은 사용자가 퍼즐을 플레이하거나 이를 풀기 위한 수리계획모형을 작성할 수 있게 도와준다. 나아가, 사용자들은 모형 작성을 위한 적절한 안내를 제공받으며, 작성된 모형은 자동 생성된 데이터들에 의해 평가된다. 본 논문의 교육용 게임은 산업공학이나 경영과학 분야 대학생들에게 기본적인 수리계획모형을 가르치는데 특히 도움이 될 것으로 기대된다.

독일 고등학교 수학에서 행렬 교수·학습 내용 분석 (Analysis of teaching and learning contents of matrix in German high school mathematics)

  • 안은경;고호경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제62권2호
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    • pp.269-287
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    • 2023
  • 행렬이론은 수학, 자연과학, 공학뿐 아니라 사회과학과 인공지능 분야에까지 다양하게 활용되고 있다. 중·고등학교 수학에서 행렬은 학습 부담 경감을 위해 2009 개정 수학과 교육과정에서 삭제되었다가 인공지능 시대를 맞이하여 2022 개정 교육과정에 재편성될 예정이다. 이에 다른 나라에서 다루고 있는 행렬 내용을 분석함으로써 행렬 지도를 위한 의미 있는 방향을 제시하고 교과서 구성을 위한 시사점을 도출할 필요성이 있다. 이를 위해 본고에서는 독일 수학과 표준교육과정과 독일 헤센주의 수학과 교육과정을 분석하고, 독일 수학 교과서의 행렬 단원의 내용 요소 및 전개 방식의 특징을 분석하였다. 분석 결과 독일 교과서는 선형연립방정식의 풀이를 위한 행렬, 일차변환을 설명하기 위한 행렬, 전환과정을 설명하기 위한 행렬로 나누어 행렬 단원을 다루고 있으며 모두 역행렬을 다루고 있고 수학적 추론 및 수학적 모델링에 중점을 두고 행렬을 학습하는 것으로 나타났다. 분석 결과로부터 학교 수학에 행렬을 재편성할 경우 깊이 있는 개념적 이해와 수학적 추론 및 수학적 모델링에 중점을 두어 교육내용을 구성할 것을 제안하는 바이다.

Re-exploring teaching and learning of probability and statistics using Excel

  • Lee, Seung-Bum;Park, Jungeun;Choi, Sang-Ho;Kim, Dong-Joong
    • 한국컴퓨터정보학회논문지
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    • 제21권7호
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    • pp.85-92
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    • 2016
  • The law of large numbers, central limit theorem, and connection among binomial distribution, normal distribution, and statistical estimation require dynamics of continuous visualization for students' better understanding of the concepts. During this visualization process, the differences and similarities between statistical probability and mathematical probability that students should observe need to be provided with the intermediate steps in the converging process. We propose a visualization method that can integrate intermediate processes and results through Excel. In this process, students' experiences with dynamic visualization help them to perceive that the results are continuously changed and extracted from multiple situations. Considering modeling as a key process, we developed a classroom exercise using Excel to estimate the population mean and standard deviation by using a sample mean computed from a collection of data out of the population through sampling.

RESEARCH ON THE DEVELOPMENT OF COLLEGE STUDENT EDUCATION BASED ON MACHINE LEARNING - TAKE THE PHYSICAL EDUCATION OF YANBIAN UNIVERSITY AS AN EXAMPLE

  • Quan, Yu;Guo, Wei-Jie;He, Lin;Jin, Zhe-Zhi
    • East Asian mathematical journal
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    • 제38권1호
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    • pp.65-84
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    • 2022
  • This paper is based on Yanbian University's physical test data, and uses statistical analysis methods to study the relationship between college students' physical test scores to promote college physical education. Firstly, using gender as categorical variables, we conduct a general analysis of students in different majors and different grades, and obtain the advantages and disadvantages of male and female college students; then we use Decision Trees and Random Forest algorithms to conduct modeling analysis to provide valuable suggestions for relevant departments of the university. the aiming of this research analyzing about the undergraduates physical test is that giving universities the targeted suggestions to improve the college graduate rate and promote the overall development of higher education, lay the foundation for achieving universal health.

Neurofuzzy System for an Intial Ship Design

  • Kim, Soo-Young;Kim, Hyun-Cheol;Lee, Kyung-Sun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.585-590
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    • 1998
  • The purpose of this paper is to develop a neurofuzzy modeling & inference system which can determine principle dimensions and hull factors in an initial ship design. Neurofuzzy modeling & inference for a hull form design (NeFHull) applies the given input-output data to the fuzzy theory. NeFHull also deals the fuzzificated values with neural networks. NeFHull redefines normalized input-output data as membership functions and executes the fuzzficated information with backporpagation-neural -networks. A hybrid learning algorithms utilized in the training of neural networks and examining the usefulness of suggested method through mathematical and mechanical examples.

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신경망을 이용한 Liner Track Cart Double Inverted Pendulum의 최적제어에 관한 연구 (The study on the Optimal Control of Linear Track Cart Double Inverted Pendulum using neural network)

  • 金成柱;李宰炫;李尙培
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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    • pp.227-233
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    • 1996
  • The Inverted Pendulum has been one of most popular nonlinear dynamic systems for the exploration of control techniques. This paper presents a new linear optimal control techniques and nonlinear neural network learning methods. The multiayered neural networks are used to add nonlinear effects on the linear optimal regulator(LQR). The new regulator can compensate nonlinear system uncertainties that are not considered in the LQR design, and can tolerated a wider range of uncertainties than the LQR alone. The new regulator has two neural networks for modeling and control. The neural network for modeling is used to obtain a more accurate model than the given mathematical equations. The neural network for control is used to overcome deficiencies by adding corrections to the linear coefficients of the LQR and by adding nonlinear effects on the LQR. Computer simulations are performed to show the applicability and a more robust regulator than the LQR alone.

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역전파 알고리즘에 의한 덕트내 소음의 능동제어 (Active Control of Sound in a Duct System by Back Propagation Algorithm)

  • 신준;김흥섭;오재응
    • 대한기계학회논문집
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    • 제18권9호
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    • pp.2265-2271
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    • 1994
  • With the improvement of standard of living, requirement for comfortable and quiet environment has been increased and, therefore, there has been a many researches for active noise reduction to overcome the limit of passive control method. In this study, active noise control is performed in a duct system using intelligent control technique which needs not decide the coefficients of high order filter and the mathematical modeling of a system. Back propagation algorithm is applied as an intelligent control technique and control system is organized to exclude the error microphone and high speed operational device which are indispensable for conventional active noise control techniques. Furthermore, learning is performed by organizing acoustic feedback model, and the effect of the proposed control technique is verified via computer simulation and experiment of active noise control in a duct system.

의대생들의 성적과 학업동기 및 다중지능의 관계분석 (The Relationship among the Learning Motivation, the Characteristics of Multiple Intelligence and Academic Achievement in Medical School Students)

  • 류숙희;이혜범;전우택
    • 의학교육논단
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    • 제15권1호
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    • pp.46-53
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    • 2013
  • The purpose of this study was to analyze the relationship among medical students' learning motivation, characteristics of multiple intelligence, and academic achievement. The participants were 144 medical students. The data were collected by administering learning motivation tests (self-confidence, self-efficacy, level of task, emotion of learning, learning behavior, failure tolerance, task difficulty, and academic self-efficacy), a multiple intelligence test (linguistic intelligence, logical-mathematical intelligence, musical intelligence, bodily-kinesthetic intelligence, spatial intelligence, interpersonal intelligence, intrapersonal intelligence, and naturalistic intelligence), and two semesters of grades. There is a correlation between multiple intelligences and learning motivation. Among academic self-efficacy of academic motivation, the self-control efficacy (0.28) and behavior (0.18) subscales are significantly positively correlated with academic achievement. However, the emotion subscale (-0.18) was significantly negatively correlated. Learning motivation was correlated with two of the eight multiple intelligence profiles: the intrapersonal intelligence (0.18) and bodily-kinesthetic intelligence (-0.19). The structural equation modeling analysis showed that the behavior and self-control efficacy subscales of intrapersonal intelligence had an impact on academic achievement. An analysis according to the academic achievement group showed significant differences in self-control efficacy and emotion subscales with intrapersonal intelligence. A positive relationship can be observed between learning motivation and some characteristics of multiple intelligence of medical school students. In light of the findings, it is worth examining whether we can control medical students' learning motivation through educational programs targeting self-control efficacy and intrapersonal intelligence.

4차 산업혁명과 대학수학교육 - 산업수학 프로그램 소개 및 관련 수학강좌 사례 - (The Fourth Industrial Revolution and College Mathematics Education - Case study of Linear Algebra approach -)

  • 이상구;이재화;김영록;함윤미
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제32권3호
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    • pp.245-255
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    • 2018
  • 본 논문에서는 4차 산업혁명과 대학수학교육에 대하여 논의한다. 먼저 4차 산업혁명 시대의 요구로 새로 생겨난 산업수학 인력을 양성하기 위하여 국내 일부 대학 수학과, 수학교육과에서 시도되고 있는 산업수학 관련 프로그램을 살펴본다. 그리고 본 연구진이 생각하는 4차 산업혁명시대의 필요를 반영한 강좌를 어떻게 개설하여 학생들에게 관련 경험을 줄 수 있는지 국내외 대학의 사례를 들어 소개한다.

군집화 알고리즘 및 모듈라 네트워크를 이용한 태양광 발전 시스템 모델링 (Modeling of Photovoltaic Power Systems using Clustering Algorithm and Modular Networks)

  • 이창성;지평식
    • 전기학회논문지P
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    • 제65권2호
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    • pp.108-113
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    • 2016
  • The real-world problems usually show nonlinear and multi-variate characteristics, so it is difficult to establish concrete mathematical models for them. Thus, it is common to practice data-driven modeling techniques in these cases. Among them, most widely adopted techniques are regression model and intelligent model such as neural networks. Regression model has drawback showing lower performance when much non-linearity exists between input and output data. Intelligent model has been shown its superiority to the linear model due to ability capable of effectively estimate desired output in cases of both linear and nonlinear problem. This paper proposes modeling method of daily photovoltaic power systems using ELM(Extreme Learning Machine) based modular networks. The proposed method uses sub-model by fuzzy clustering rather than using a single model. Each sub-model is implemented by ELM. To show the effectiveness of the proposed method, we performed various experiments by dataset acquired during 2014 in real-plant.