BKT — section overview

This section builds the MATx adaptive engine bottom-up. Each chapter adds one piece until the full picture emerges.

Roadmap

1. The problem — teacher vs 22 students — why we need a model and what pain it removes.
2. Knowledge as probability — core BKT idea plus a step simulator.
3. Micro-skills vs overall level — why we slice the topic.
4. The four BKT numbers — parameters and intuition.
5. Bayes’ rule step by step — math plus the “boxes” widget.
6. Update formulas and numerical example.
7. P(solve) and ZPD — how we pick a task.
8. Multiple skills in one task — geometric mean.

Key chapters include interactive widgets and the Notebooks section with the same logic in Python (including JupyterLite at /lab/).