🧪 Pedagogical Classroom Culture Simulation

This simulation models classroom culture as an agent-based diffusion process: thirty students seated in a grid, each carrying a live engagement value that spreads to seat-neighbors, decays toward neutral without reinforcement, and responds to concrete teacher actions — praise, public correction, and community-building activities. Rather than a scripted mood animation, every seat's color is the direct output of a leaky-integrator differential equation with a nearest-neighbor peer-contagion term, so you can watch enthusiasm ripple outward from a single praised student, or see a public correction chill an entire row. Live readouts track mean engagement, culture cohesion (how uniform the room is versus split into engaged/checked-out cliques), how many students are currently disengaged, and how many correction events have been used — letting you explore, quantitatively, how the balance of reinforcement, peer influence, and decay shapes the overall atmosphere and learning outcomes of a room.