基于应用实例的线性代数教学方法的探究

Exploration of Linear Algebra Teaching Methods Based on Application Examples

线性代数课程是本科院校工科专业的一门重要的基础理论课,该门课程不仅有很重要的实际应用,而且也是其他一些数学课程的基础课。线性代数的很多概念虽然较为抽象,但只要在线性代数教学过程中,将概念的理解融于线代相关的应用实例,就能让学生们不仅能够掌握知识点,还能够深刻理解其本质,进而能提高他们分析解决应用问题的能力,同时能加强学生对该课程重点知识的记忆。授课老师应该把重点放在如何教学生更好地理解线代的理论,以及如何有效地运用线性代数的理论解决应用问题,而不是仅仅关注学生的解题能力。另一方面,结合实例讲解有利于提升学生对数学类课程的兴趣,培养学生自学能力,进而有助于达成高校培养应用型人才的教育目标。

Linear algebra is an important fundamental theoretical course for engineering majors in under-graduate colleges. This course not only has practical applications with significance, but also serves as a foundation for other mathematics courses. Although many of the concepts of linear algebra are relatively abstract, as long as the understanding of concepts is combined with practical examples related to linear algebra in the teaching process, students can not only grasp the knowledge points, but also deeply understand the essence, thereby improving their ability to analyze and solve prac-tical problems, and strengthening their memory of the key knowledge of the course. Teachers should focus on teaching students how to better understand the theory of linear algebra and how to effectively apply the theory to solve practical problems, rather than just focusing on students’ problem-solving abilities. On the other hand, combining examples to explain is beneficial for en-hancing students’ interest in learning mathematics, cultivating students’ self-learning ability, and thus helping to achieve the educational goal of cultivating applied talents in universities.