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# numpath

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Making LLM outputs auditable: the provider abstraction pattern

Making LLM outputs auditable: the provider abstraction pattern

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5 min read
60 hand-crafted math problems: what I learned writing seed data for an adaptive tutor

60 hand-crafted math problems: what I learned writing seed data for an adaptive tutor

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5 min read
From Bayesian to deep knowledge tracing — upgrading NumPath's student model with a PyTorch LSTM

From Bayesian to deep knowledge tracing — upgrading NumPath's student model with a PyTorch LSTM

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5 min read
Building a mistake taxonomy for dyscalculia — 8 error patterns, rule-based, no ML required

Building a mistake taxonomy for dyscalculia — 8 error patterns, rule-based, no ML required

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5 min read
Clean Architecture in a FastAPI + Vue 3 monorepo

Clean Architecture in a FastAPI + Vue 3 monorepo

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5 min read
Building a FastAPI + Vue 3 research platform: the 4 bugs that almost broke Phase 1

Building a FastAPI + Vue 3 research platform: the 4 bugs that almost broke Phase 1

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5 min read
Bayesian Knowledge Tracing in 37 lines of Python — how NumPath models what a student knows

Bayesian Knowledge Tracing in 37 lines of Python — how NumPath models what a student knows

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4 min read
Attempt history in the teacher dashboard — the scalar subquery pattern

Attempt history in the teacher dashboard — the scalar subquery pattern

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4 min read
Prompt engineering for teacher insights with Claude — structured JSON and graceful fallbacks

Prompt engineering for teacher insights with Claude — structured JSON and graceful fallbacks

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4 min read
Closing the feedback loop: how mistake classification drives adaptive problem selection in NumPath

Closing the feedback loop: how mistake classification drives adaptive problem selection in NumPath

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3 min read
Why I'm building an AI math tutor for dyscalculia — and grounding it in 30 years of ITS research

Why I'm building an AI math tutor for dyscalculia — and grounding it in 30 years of ITS research

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5 min read
Why teachers need explainable AI, not just accurate AI — building the KC dashboard

Why teachers need explainable AI, not just accurate AI — building the KC dashboard

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3 min read
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