线性代数教学中数学思想方法的培养

Cultivation of Mathematical Thinking Methods in the Teaching of Linear Algebra

通过介绍线性代数中的降阶、同构、类比、变换、化归、分类和抽象等思想方法,逐步说明如何在线性代数的教学实践中培养数学思想方法,从而在教学过程中,使学生理解和掌握数学思想方法,培养学生良好的数学思想修养,最终提高学生的创新意识和综合能力.

Firstly, the methods （reduction of order, isomorphism, analogy, transformation, classification and abstract thinking method）in linear algebra are introduced in this paper, and then it is gradually showed how to carry out the mathematical thinking methods in the teaching process of linear algebra. Hence, in the lin-ear algebra teaching practice, the understanding and grasping of the mathematical thinking methods can be im-proved effectively so as to enhance student’s ideological cultivation of mathematics and to ultimately improve students’ awareness of innovation and comprehensive ability.