结合建模与实验的线性代数的教学研究

Teaching Research of Linear Algebra Combining Modeling and Experiment

摘要: 本文主要研究在线性代数课程中引入数学建模和数学实验的教学方法。探究用建模的思想进行理论的实践，以数学实验作为复杂问题的求解和可视化的工具，使线性代数的教学进入理论联系实际，实践又促进理论的良性循环中，从而提高线性代数的教学效果，并培养学生的实践能力和创新能力。

Abstract: In this paper, we mainly studied the teaching of linear algebra, in which we added the content of mathematical model and mathematical experiment. We explored the practice of theory with the idea of mathematical modeling, and took mathematical experiment as a tool for solving and visualizing complex problems. We made the teaching of linear algebra enter the virtuous circle of integrating theory with practice and promoting theory by practice, so as to improve the teaching effect of linear algebra and cultivate students’ practical ability and innovation ability.