The Application of Markov Chain in Middle School Mathematics Teaching Evaluation

This paper discusses the application of Markov Chain model to evaluate middle school mathematics teaching. First, the paper introduces the basic concept of the Markov Chain and proposes how to divide student grades into different levels and construct the initial state vector and the transition probability matrix. Then, the paper demonstrates how to use the Markov Chain model to analyze the changes in mathematics grades of two classes, calculate the degree of progress and efficiency, and evaluate the teaching effectiveness of different teachers through actual cases. The results show that Class One has a better teaching effect, with higher degrees of progress and efficiency. The research proves that using the Markov Chain model can more objectively analyze teaching effects and guide teachers to improve their teaching methods. This model provides a new approach to evaluating the quality of middle school mathematics teaching and has practical application value.