# Study on a Quality Evaluation Method for College English Classroom Teaching
## 5 An Example of a College English Classroom Teaching Quality Evaluation
### Comprehensively Evaluate the College English Classroom Teaching Quality  
(1) Calculate the weights  
According to the important degree of each factor in each level, the corresponding weights are assigned and calculated. In the fuzzy comprehensive evaluation method, the weight is very important, and it directly affects the comprehensive evaluation results. There are many methods to determine the weights, such as the Delphi (expert evaluation method), the expert survey method, the comparison matrix method, the fuzzy consistent judgment matrix method, the fuzzy priority matrix method, and so on. In the college English classroom teaching quality evaluation, the fuzzy consistent judgment matrix method is selected to determine the weights of the factors, which can eliminate the influence of subjective factors to the greatest extent. The obtained weights are more objective, and more coincident with the actual situation. So, the weighted mean deviation method of the maximum membership degree (expression (14)) is used to obtain the corresponding weights of teaching attitudes (\(u_{1}\)). \[A_{1}=(0.2222\ 0.2778\ 0.1667\ 0.1111\ 0.2222)\]  
(2) The expression (15) is used to obtain the corresponding evaluation results, as follows. \[B_{1}=(0.5889\ 0.1889\ 0.1167\ 0.0889\ 0.0167)\]  
The corresponding evaluation results of teaching content (\(u_{2}\)), teaching methods, and teaching effectiveness are obtained as follows. \[B_{2}=(0.3882\ 0.3235\ 0.1176\ 0.0647\ 0.1059)\]  
\[B_{3}=(0.6692\ 0.1538\ 0.0731\ 0.0615\ 0.0423)\]  
\[B_{4}=(0.5000\ 0.2182\ 0.1545\ 0.0818\ 0.0455)\] \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**First-Level** **Index**} & \multirow{2}{*}{**Second-Level**} & \multicolumn{5}{c}{**The Evaluation Results**} \\ \cline{3-6}  & & **Excellent** & **Good** & **Medium** & **Pass** & **Fail** \\ \hline \multirow{4}{*}{Teaching attitudes (\(u_{1}\))} & \(u_{11}\) & 0.6 & 0.2 & 0.1 & 0.1 & 0 \\  & \(u_{12}\) & 0.7 & 0.1 & 0.1 & 0.1 & 0 \\  & \(u_{13}\) & 0.5 & 0.1 & 0.2 & 0.1 & 0.10 \\  & \(u_{14}\) & 0.4 & 0.3 & 0.3 & 0 & 0 \\  & \(u_{15}\) & 0.6 & 0.3 & 0 & 0.1 & 0 \\ \hline \multirow{4}{*}{Teaching contents (\(u_{2}\))} & \(u_{21}\) & 0.6 & 0.1 & 0.1 & 0 & 0.2 \\  & \(u_{22}\) & 0.2 & 0.5 & 0.2 & 0.1 & 0 \\  & \(u_{23}\) & 0.2 & 0.6 & 0.1 & 0 & 0.1 \\  & \(u_{24}\) & 0.2 & 0.4 & 0.1 & 0.2 & 0.1 \\  & \(u_{25}\) & 0.6 & 0.1 & 0.1 & 0.1 & 0.1 \\ \hline \multirow{4}{*}{Teaching methods (\(u_{3}\))} & \(u_{31}\) & 0.4 & 0.4 & 0 & 0.1 & 0.1 \\  & \(u_{32}\) & 0.6 & 0.3 & 0.1 & 0 & 0 \\  & \(u_{33}\) & 0.6 & 0.1 & 0.1 & 0.1 & 0.1 \\  & \(u_{34}\) & 0.7 & 0.1 & 0.1 & 0.1 & 0 \\  & \(u_{35}\) & 0.8 & 0.1 & 0.1 & 0 & 0 \\  & \(u_{36}\) & 0.7 & 0.1 & 0 & 0.1 & 0.1 \\ \hline \multirow{4}{*}{Teaching effectiveness (\(u_{4}\))} & \(u_{41}\) & 0.4 & 0.2 & 0.2 & 0.2 & 0 \\  & \(u_{42}\) & 0.4 & 0.3 & 0.1 & 0.1 & 0.1 \\ \cline{1-1}  & \(u_{43}\) & 0.5 & 0.2 & 0.1 & 0.1 & 0.1 \\ \cline{1-1}  & \(u_{44}\) & 0.6 & 0.2 & 0.2 & 0.2 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The evaluation results for each grade percentage. (3) According to the obtained comprehensive evaluation results of the sub-objectives, the first-level fuzzy matrix is constructed. \[R=\left[ \begin{array}{c}B_{1}\\ B_{2}\\ B_{3}\\ B_{4}\end{array} \right]=\left[ \begin{array}{ccccc}0.5889&0.1889&0.1167&0.0889&0. 0167\\ 0.3882&0.3235&0.1176&0.0647&0.1059\\ 0.6692&0.1538&0.0731&0.0615&0.0423\\ 0.5000&0.2182&0.1545&0.0818&0.0455\end{array} \right]\]  
(4) The final evaluation result of college English classroom teaching quality can be obtained as follows. \[B=(0.5690\;0.2020\;0.1101\;0.0744\;0.0445)\]  
(5) The comprehensive evaluation value is obtained by using the double weight method. In order to make full use of the comprehensive evaluation information, a percentage system is used to give each evaluation grade. According to the opinions of the experts, the following values are given.