首页|基于雨课堂和案例教学法的特征值及特征向量教学研究

基于雨课堂和案例教学法的特征值及特征向量教学研究

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特征值与特征向量是两个既抽象又应用广泛的概念,若只专注于理论内容的讲授,忽视其在实际应用中的背景和意义,则学生会对理论知识感到难以理解,从而失去学习的兴趣和热情,继而影响后续课程的学习.以雨课堂教学平台为基础,采用课程思政融入基础课教学的方法,将矩阵的特征值和特征向量与离散动力系统联系起来,以捕食者-食饵系统为应用案例,引导学生分析实际问题并建立相应的数学模型,然后通过矩阵特征值与特征向量来求解数学模型,从而加深了学生对基本理论知识的理解,提高了学生课堂参与度,达到了很好的教学效果.
Research on Eigenvalue and Eigenvector Teaching Based on Rain Classroom and Case Teaching Method
Eigenvalue and eigenvector are two abstract and widely used concepts.If teachers only focus on teaching theoretical content and ignore their background and significance in practical applications,it will make students feel difficult to understand theoretical knowledge,thereby losing interest and enthusiasm for learning,and ultimately af-fecting their subsequent course learning.Based on the Rain Classroom teaching platform,this article adopts the method of integrating ideological and political education into basic course teaching.It links the eigenvalues and ei-genvectors of matrices with discrete dynamical systems,and takes the predator-prey system as an application case to guide students to analyze practical problems and establish corresponding mathematical models,and then solves the mathematical models through the eigenvalues and eigenvectors of matrices,deepening students'understanding of basic theoretical knowledge,improving students'classroom participation,and achieving good teaching results.

EigenvalueEigenvectorCase teachingRain Classroom

李纹、赵利云、曹富军

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内蒙古科技大学理学院 内蒙古 包头 014010

特征值 特征向量 案例教学 雨课堂

2024

科技资讯
北京国际科技服务中心 北京合作创新国际科技服务中心

科技资讯

影响因子:0.51
ISSN:1672-3791
年,卷(期):2024.22(24)