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Mathematics·Mathematical Thinking·meta

Hands-On Problem Solving

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

Suggested ages 5–6

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Learning journey

Your child is beginning to think like a mathematician — using objects and pictures to solve problems, explaining their reasoning, noticing patterns, and connecting maths to real-world situations.

Evidence of understanding

  • 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

Assessment prompt

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?

Standards alignment

No external standards are linked to this topic.