mathartcademy

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About this curriculum

mathartcademy is a math learning app for children (ages ~6–12) built on generative art — the premise that every math concept can be an interactive, generative-art artefact whose structure is the mathematics. This site is the app’s curriculum backbone: a single, dependency-ordered progression that browses the whole of primary mathematics.

Union, not intersection

The tree is a superset of five national curricula — every learning item that appears in any of them is included, so a child following it is covered for all five systems:

  • 🏴󠁧󠁢󠁥󠁮󠁧󠁿 England — National Curriculum (KS1–KS3)
  • 🇫🇷 France — Programmes (cycles 2–3)
  • 🇪🇸 Spain — Currículo de Primaria (LOMLOE)
  • 🇩🇪 Germany — Bildungsstandards / Lehrpläne
  • 🇺🇸 United States — Common Core (CCSS-M) / TEKS

Each concept carries coverage flags showing where it lands in each system, and where a country deliberately defers a topic beyond ages 6–12, a “not-in-band” flag records it — as important for localising the sequence as the coverage itself.

Ordered by prerequisite, not by age

Concepts are arranged into seven prerequisite stages, loosely age-anchored. A learner advances each strand as its prerequisites are mastered — number sense before fluency, concrete before abstract, with the standard algorithms coming after the models that justify them. The dependency map shows how the strands synchronise.

What’s on each concept page

Every concept is written to be self-standing — you can understand the whole idea from the page itself. Each has:

  • a plain-language explanation of the concept;
  • worked examples and things to try;
  • its generative-art connection — how the maths becomes something you can see and make;
  • links to the best interactive tools, games, videos and explanations that elaborate on it;
  • its prerequisites, what it unlocks, and its per-country coverage.
This is a living document. Concepts do not yet have their own bespoke mathartcademy artworks — those come later; for now each page links out to the strongest existing resources.

Method

The progression tree was synthesised from five per-country curriculum maps and adversarially reviewed for exhaustivity, consistency and correct ordering. Each concept page was then written and independently critic-reviewed to check it is self-standing, accurate, and links to the right resources. See the research sources in the mathartcademy research folder.