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 mathematicalframework capable of addressing the entire spectrum of behaviors exhibited in mathematics classrooms. We introduce a novel SIR-basedmodel, tailored to capture behaviors under the influence of individual students. Additionally, we propose that interactions among students acrossdifferent classrooms can serve as a regulatory mechanism for these behaviors. To validate our approach, we conduct a series of simulations thatdemonstrate the practicality and significance of our model. This paper significantly contributes to the advancement of our understanding of studentbehaviors in the realm of mathematics education and their mathematical representation. By bridging the gap between mathematical modeling andthe intricate dynamics of student conduct, this work provides valuable insights into the behaviors displayed in math classrooms.