Despite its importance in English language instruction, the teaching analysis system suffers from a problem with incorrect performance positioning in its design and execution. The typical Even with optimizations, the simulated annealing approach still fails to adequately handle the phase limit problem in ESL instruction. Consequently, we provide a data mining algorithm-based design and implementation of an English teaching analysis system and evaluate its efficacy. First, we utilize DS theory to find the aspects that are impacting the design and implementation of the teaching analysis system. Then, we divide the indicators according to the demands of the design and implementation in order to eliminate interference factors. Following the application of DS theory to the development of a data mining algorithm and the execution of the teaching analysis system scheme, the results of these processes are carefully evaluated. The findings of the MATLAB simulation show that the Data mining approach works better than the conventional algorithm for improved simulated annealing under certain evaluation circumstances. This is in relation to the design and implementation of the teaching analysis system, as well as the time of influencing factors.