摘要
本文拟根据教育活动的特点,研究了齐次马氏链分析法在教学效果定量评估中的应用问题。文中通过一具体例子,从建立频数矩阵A、转移矩阵G和转置矩阵G′,直至列出方程P·X=O等一系列求解过程,排除了学生的基础差异,为定量评估教学效果提供了较切合实际的数学模型和较有说服力的数据。
In this paper, the application of the homogeneous Markovian chain analysis method for quantitative evaluation of teaching effectiveness is studied according to the characteristics of education activities. Through a concrete example, the basic divergence of students is eliminated by means of a series of finding solution process, i. e., from the establishment of frequency matrix A, transition matrix G and transposed matrix G', to the obtainment of equation P·X= 0. A more practical mathematics model and the more convincible data are provided for the quantitative evaluation of the teaching effectiveness with the exclusion of students' basic difference.