Title: Evaluation method of English teaching quality based on Markov Chain

Authors: Lifeng Li

Addresses: Department of Foreign Languages, Jiaozuo University, Jiaozuo, 454000, China

Abstract: Focusing on improving the accuracy and comprehensiveness of teaching quality evaluation results, a Markov chain-based English teaching quality evaluation method is proposed. Construct a teaching quality evaluation index system and calculate the specific weights of different evaluation indicators in the system through an analytic hierarchy process. Based on the weight calculation results, the state-transition matrix is established using the Markov chain method, and more states are introduced to construct the state-transition matrix. According to the state-transition matrix, the residual sequence with the same position is obtained under the original data sequence, and the upper and lower boundary values of different residual sequences are obtained. Combined with the steady-state distribution vector, the teaching quality evaluation results are obtained. The experimental results show that the evaluation results of the proposed method have fewer errors and are more comprehensive.

Keywords: teaching quality evaluation; analytic hierarchy process; AHP; residual sequence; Markov chain.

DOI: 10.1504/IJSD.2025.149411

International Journal of Sustainable Development, 2025 Vol.28 No.4, pp.431 - 442

Received: 25 May 2023
Accepted: 17 Oct 2023
Published online: 30 Oct 2025 *

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