Making LLM outputs auditable: the provider abstraction pattern
The problem with calling an LLM directly NumPath's teacher dashboard generates per-student insights — one-sentence observations like "Emma skips borro…
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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 generate problems programmatically. Pick two random numbers, s…
Clean Architecture in a FastAPI + Vue 3 monorepo
Why architecture matters in a research project Most research prototypes are throwaway code. NumPath is not. It needs to survive four phases over 30 we…
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 reverses digits on subtraction problems probably al…
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 subtracted in the wrong direction in the ones column —…