Adaptive Learning Engine: Knowledge Graph Mastery Simulator (2D)

This is a flat 2D diagram of the same Bayesian Knowledge Tracing engine as the 3D version: a prerequisite knowledge graph laid out layer by layer, where an AI tutor (or you, by clicking a node yourself) attempts skills and the real BKT posterior update recolors each node from grey (locked), through blue (ready, low mastery), to gold (mastered). Edges show which skills unlock which, and a node only becomes attemptable once the average mastery of its prerequisites clears a readiness threshold. Toggle between adaptive question selection — which always targets the learner's zone of proximal development — and random ordering to see how much faster true personalization converges the graph to gold.