Adaptive AI Tutor: Personalized Learning Path Simulator (2D)

This 2D companion runs the identical item-response-theory tutoring loop as the 3D version, laid flat as a knowledge ring instead of a sphere: twenty skill nodes sit at fixed difficulties around a central AI tutor core, and every practice round the core samples the unmastered skill closest to the learner's current ability estimate θ, fires a beam out to it, and auto-grades the attempt with a logistic probability curve. A correct answer turns the node green and nudges θ upward; a miss turns it red and pulls θ back, while every skill quietly forgets a slice of its mastery each second it isn't reviewed — forcing the tutor to loop back for spaced repetition exactly as a real adaptive-learning platform would.