Teachers and students become various sorts of dependent behaviors and interactions that are centered around the educational activity in universities and colleges, the interactions in the classroom can be seen as a typical game process. A teacher and a student are two independent players who can choose the behavior strategies rationally to maximize their utility. Meanwhile, their choices will be produce positive or negative effects for realizing the educational processes. Therefore, the paper uses game theory as the analytical tools, establishing a simple game theoretical model of teacher-student interaction, analyzing the equilibrium of teacher-student cooperation and dynamic game in universities and colleges, as well as presenting some suggestions from the perspective of education methodology and technology.