Abstract The development of globalization has led to the rising demand of society and enterprises for the English application ability of students in colleges and universities, and the enhancement of the English application ability of non-English majors has become the key research direction of English teaching in colleges and universities under this trend. In this paper, we study this issue, highlighting the urgency of innovating the English teaching mode for non-English majors through the current situation of the passing rate of the English application ability examination and the main problems of the cultivation of English application ability of non-English majors. Gray correlation analysis is used to study the correlation between the English teaching mode, job requirements and other factors and the English application ability of non-English majors to provide data support for the introduction of ESP teaching mode. The ESP teaching mode is proposed, the teaching experiment is designed, and the results of the experimental and control classes are tested before and after participating in the experiment to assess the role of the ESP teaching mode in improving the English application ability of non-English majors as well. In the study of students’ satisfaction with the teaching of application abilities under the ESP mode, the overall satisfaction is high. Non-English majors are rated 11.87% more satisfied with the teaching effect under the ESP teaching model than English majors.
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