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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Knowledge-graph map

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Hands-On Problem Solving

Mathematics · Mathematical Thinking · meta

Select and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem

What mastery looks like

  • Choose cubes, counters, or fingers to help solve an addition or subtraction problem
  • Use a ten frame to organise objects for counting or comparing
  • Explain why a particular tool (e.g. cubes rather than fingers) was chosen for a given problem

Check your understanding

When Hands-On Problem Solving is working out a maths problem, do they reach for helpful tools — like using their fingers, counters, or a number line — to support their thinking?

Prerequisites

Helpful

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