This paper introduces an innovative approach to comprehending and modeling the collective behaviors of students within the context of mathematics education. The core objective is to present a comprehensive mathematical framework capable of addressing the entire spectrum of behaviors exhibited in mathematics classrooms. We introduce a novel SIR-based model, tailored to capture behaviors under the influence of individual students. Additionally, we propose that interactions among students across different classrooms can serve as a regulatory mechanism for these behaviors. To validate our approach, we conduct a series of simulations that demonstrate the practicality and significance of our model. This paper significantly contributes to the advancement of our understanding of student behaviors in the realm of mathematics education and their mathematical representation. By bridging the gap between mathematical modeling and the intricate dynamics of student conduct, this work provides valuable insights into the behaviors displayed in math classrooms.