Applying the Maximum Information Entropy Model to Optimize Innovative Strategies for Physical Education Management

Physical education holds a crucial role in the educational systems of schools at all levels, and innovating physical education management is essential for promoting its coordinated development. This paper uses the maximum information entropy model as the foundation and, with the goal of optimizing the quality of physical education management, establishes an evaluation index system for physical education management quality based on the generalization and summarization of traditional evaluation theory. For the established evaluation indexes, the entropy weight method in the maximum information entropy model is used to assign certain weights to the indexes at all levels in order to highlight the importance of different indexes in the evaluation system of physical education management quality. In the process of indicator screening, the mean value of the first, second, and third level indicators established in this paper is greater than or equal to 3.75, and the standard deviation and coefficient of variation also meet the design requirements of this paper, so there is no need to eliminate the indicators or other work. In the weighting analysis, the weight of the teaching process is 0.5136, which is the evaluation indicator with the highest weight among all the first-level indicators, while the weight of the professional education competence is the highest among the second-level indicators and all the third-level indicators are also given the corresponding weights. According to the results of the screened evaluation indexes and weights, this paper completes the establishment of the quality evaluation system of physical education management based on the maximum information entropy model and the formulation of evaluation standards, which provides strong support for the innovation of physical education management.