Study Buddy builds the lesson live — drawing diagrams, circling insights, stamping rules, scribbling chemistry. Marcus drags stickies onto the board, fills blanks in the teacher’s handwriting, writes back. Every annotation persists. The whole lesson becomes a whiteboard he can scroll back through.
Socratic dialogue works because every response updates a per‑standard mastery probability in real time. The tutor’s next question is chosen by the model, not scripted.
Hologram’s mastery estimate updates after every response using Bayesian Knowledge Tracing — real math, no LLMs, calibrated to the exact question difficulty.
Every rubric dimension, every criterion, every score — first-class data. Not a tag bolted onto a percentage. The gradebook is the standards graph.
Every response tweaks a per-standard probability. Real probabilistic math — not a heuristic, not a rubric percentage. The dial above updates in real time.
The AI doesn’t just grade. It highlights the phrases in the response that earned each score. Teachers verify with their eyes, not blind trust.
FERPA, COPPA, and GDPR compliance is a byproduct of the architecture, not a checklist. Districts get audit evidence on demand.
Thirty days, a few classrooms, no production dependency until you say so.