With the rapid development of information technology, the application of interactive mobile technology in the field of education has become increasingly widespread. In particular, optimizing the teacher-student interaction has become a key factor in enhancing teaching effectiveness in language education. Under traditional language teaching models, teacher-student interaction tends to be unidirectional, making it difficult to fully stimulate students’ interest and engagement. The introduction of interactive mobile technology has made the teaching process more flexible and diverse, providing new forms and approaches for teacher-student interaction. However, how to scientifically assess and effectively optimize teacher-student interaction remains a critical issue in current educational research. Existing studies mainly focus on technological applications and lack an in-depth exploration of the essence of interaction, particularly in terms of the quantitative analysis of interaction intensity and evolution. This study aims to explore the application and optimization strategies of interactive mobile technology in teacher-student interactive language teaching. The study includes four main components: first, analyzing the evolution of teacher-student interaction in language teaching; second, calculating the intensity of teacher-student interaction based on information entropy; third, constructing and calculating a model for the evolution of interaction intensity; and fourth, proposing language teaching optimization strategies based on the evolution of teacher-student interaction intensity. This study, through theoretical modeling and empirical analysis, seeks to provide scientific evidence and practical guidance for improving the quality of teacher-student interaction and optimizing language teaching.
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