基于能力培养的“线性代数”教学设计研究

Research on Teaching Design of "Linear Algebra" Based on Capability Cultivation

以工程数学——线性代数(第六版)的§1.5内容为例,探究了课堂教学设计问题。采用了情境设置、问题驱动、学思并进等启发性教学设计方法,使学生顺其自然的掌握行列式按行(列)展开的知识,为简化行列式的计算打下了坚实的基础。另外,还在更高层面体现了如何培养学生发现问题、解决问题以及学以致用等诸多能力。

Expansion of determinant by row（column）, which is the content of section 1.5 of the engineering mathematics linear algebra （Sixth Edition）, is adopted as an example to explore the design of classroom teaching. Someheuristic methods, such as situation set, problem driven, learning and thought go hand in hand, are applied tohelping the students to master the expansion of determinant by row （column） without difficulty, and thereforelaying a solid foundation for the simplified calculation of the determinant. In addition, the article reflects manyother abilities on the higher level, such as how to train students to find problems, solve problems, and makingtheir study serve the practical.