矩阵内容两种处理方式的教学比较实验

Two Kinds of Dealing with the Content of Matrix Teaching Comparative Experiment

矩阵教学内容处理方式大致可分为两大类:一个是从"代数"角度出发,另一个是从"几何"或者"变换"的角度出发.这两者各有特点,就两种处理方式进行教学比较实验,通过对实验数据的显著性检验统计分析表明:在认知理解方面,从"几何"角度比从"代数"角度处理矩阵内容的教学效果要好;在计算能力方面,后者比前者的教学效果要好;在综合应用方面,两者都不是很理想.

There are two kinds of dealing with the teaching content of matrix: from the "Algebraic" point of view and from the "Geometric-Transformation" point of view. There are a lot of differences between the two dealing ways. The paper then makes a teaching comparative experiment on the way of dealing with the two different matrix teaching contents in Hunan Vocational Institute of Safety Technology, through a significant analysis(Z-Test), results showed that: on the aspect of cognitive understanding, the teaching effectiveness of matrix by the way of "Geometric-Transformation" is better than that of "Algebra", on the aspect of Computing capacity, the latter can bring better teaching effectiveness; as for the comprehensive application, both ways are not very satisfactory. The advantages and shortcomings of the two ways have been analyzed and concluded in the paper, and some suggestions have been given for the teaching of "matrix" in the university.