中文摘要：

培养学生的数学素质是高等数学教育最为重要的目标，需要经过长期的学习和培养．本文以线性代数教学为例，阐述了学生的数学思维意识和能力的培养应注重对数学概念、数学理论的理解，以及重要例子与习题的处理．

英文摘要：

The cultivation of students＇ mathematical quality is an important goal of the education in college mathematics, which takes time and effort in general. Based on the Linear Algebra teaching practice, this paper advocates the crucial importance of understanding and grasping of mathematical concepts and theories, and showing critical examples and exercises.