AetherMath
Interactive math learning: live graphs, algebra-aware practice, and a Socratic AI tutor.
Next.js (App Router, TS) · Tailwind v4 · Framer Motion · KaTeX · Zustand.
npm install
npm run dev # http://localhost:3000
npm run check # typecheck + validate course data + production build
Routes
/ landing page, topic picker, "Continue learning"/learn/[topic]/[lesson] concept + live widget | practice | MathCopilot/dashboard mastery map (Novice < 75% · Proficient ≥ 75% · Mastered 100% of a lesson's problems)
Layout
src/lib/expr.ts expression parser and algebraic-equivalence checker (accepts any equivalent form)src/lib/tutor.ts askTutor(): mock Socratic tutor; replace its body with an LLM callsrc/data/courses/ lesson content; src/store/ Zustand stores (progress is persisted in localStorage)src/components/{math,practice,ai,lesson,dashboard,layout,ui}
Adding a lesson
Add an entry to src/data/courses/<topic>.ts (concept blocks, a declarative widget, problems built with
ex() / mc()), then run npm run validate. Widget expressions use x plus slider keys; equation LaTeX
uses [[expr]], [[+expr]], [[*expr]], [[=expr]] slots (see src/lib/types.ts).
