Evaluation Method of English Learning Efficiency Based on Grey Management Analysis

In order to improve the evaluation methods of English teaching efficiency, improve the accuracy and operability of evaluation, this paper analyzes the basic characteristics of English teaching efficiency from the perspective of ecological classroom theory, and puts forward a formula to measure the efficiency of Ecological English teaching. On this basis, this paper discusses a new method to evaluate eco-English teaching efficiency from two levels of basic characteristics and overall structure and illustrates the intuitiveness and feasibility of this method through an example to enhance its application value and reference significance. For the evaluation of effective English learning process, this paper combines the principal component analysis method and data envelopment analysis method to establish an analysis model of the relative efficiency of effective English learning, including a constant return to scale model, variable return to scale model, and scale efficiency model, which provides a quantitative analysis basis for the evaluation of effective English learning process. In order to facilitate the analysis of the relationship between “input” and “output” in English learning, and facilitate the quantitative analysis of the relationship between strategy choice and achievement in English learning, so as to provide scientific reference for English teaching and research.