The Construction and Application of a Blended Teaching Evaluation Index System Based on Mathematical and Statistical Analysis

To scientifically evaluate the effectiveness of blended teaching, an evaluation index system was constructed using mathematical and statistical methods. The system systematically analyzed the coverage of teaching content, student participation, and learning outcomes. The study found that the index weights determined by the Analytic Hierarchy Process (AHP) and Principal Component Analysis (PCA) effectively reflect the impact of different dimensions on teaching quality. The results indicate that reasonable selection of indicators and weight distribution can more comprehensively assess the actual effects of the blended teaching model, providing important decision-making support for educational practice.