Improving the quality of preschool education management based on the ordinary differential error approximation method

Improving the quality of preschool education management is the basic guarantee of national talent training. In this paper, the data envelopment analysis of resource allocation efficiency of preschool education is conducted by analyzing the characteristics of preschool education and the allocation process of educational resources. Based on the original input and original output, the productivity of preschool education is analyzed by combining different environmental variables in the CCR model. The asymptotic approximation method was used to improve the fit of the initial data and to speed up the convergence of the fit by weighting. Based on the study of preschool education in County M, kindergartens with resource allocation at a high level ( 0.8≤ θ <1.0) or a medium level ( 0.6≤ θ < 0.8) remained largely unchanged. The mean values of the combined technical efficiency of each kindergarten were 0.657, 0.702, and 0.759, respectively, and more than half of them were at a higher level. The data analysis based on the error approximation method can effectively avoid the problem of data overfitting and thus extract the key factors of preschool education management.