60 hand-crafted math problems: what I learned writing seed data for an adaptive tutor
Why hand-author anything? The obvious approach for seeding an adaptive math tutor is to...
Jun 1, 20265 min read0 reactions0 comments
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#numpath
Building a mistake taxonomy for dyscalculia — 8 error patterns, rule-based, no ML required
"Wrong" isn't a diagnosis. When a student answers 32 − 9 = 37, they didn't randomly guess. They...
Jun 1, 20265 min read0 reactions0 comments
From Bayesian to deep knowledge tracing — upgrading NumPath's student model with a PyTorch LSTM
BKT told us how well a student knows subtraction-with-borrowing. It had no idea that a student who...
Jun 1, 20265 min read0 reactions0 comments
Clean Architecture in a FastAPI + Vue 3 monorepo
Why architecture matters in a research project Most research prototypes are throwaway...
Jun 1, 20265 min read0 reactions0 comments
Making LLM outputs auditable: the provider abstraction pattern
The problem with calling an LLM directly NumPath's teacher dashboard generates per-student...
Jun 1, 20265 min read0 reactions0 comments
Building a FastAPI + Vue 3 research platform: the 4 bugs that almost broke Phase 1
Phase 1 of NumPath is done. Seven of eight Definition of Done items are checked — the eighth requires...
Jun 1, 20265 min read0 reactions0 comments
Bayesian Knowledge Tracing in 37 lines of Python — how NumPath models what a student knows
What We Built NumPath maintains a KCState for every student × Knowledge Component pair....
May 27, 20264 min read0 reactions0 comments
Attempt history in the teacher dashboard — the scalar subquery pattern
What We Built In Phase 1 of the KC dashboard we gave teachers per-skill mastery states for...
May 21, 20264 min read0 reactions0 comments
Prompt engineering for teacher insights with Claude — structured JSON and graceful fallbacks
What We Built NumPath now generates a teacher insight on demand: click "Generate insight"...
May 21, 20264 min read0 reactions0 comments
Closing the feedback loop: how mistake classification drives adaptive problem selection in NumPath
What We Built NumPath is an AI math tutor for children with dyscalculia. At its core is an...
May 21, 20263 min read0 reactions0 comments
Why I'm building an AI math tutor for dyscalculia — and grounding it in 30 years of ITS research
The problem I kept seeing When I started this research I expected dyscalculia to be a...
May 21, 20265 min read0 reactions0 comments
Why teachers need explainable AI, not just accurate AI — building the KC dashboard
What We Built NumPath's teacher dashboard previously showed one number per student: 7-day...
May 21, 20263 min read0 reactions0 comments