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Alongside or apart from what adults teach them, children will represent and explore mathematical ideas with their own creative methods, as Elizabeth Carruthers and Maulfry Worthington explain.

Responding to challenges and finding solutions is not confined to mathematics but arises in all areas of learning, says Sheila Ebbutt.

In the latest of our National Strategies features on the EYFS, Jacqui Hardy, Paula Healey, Gill Hunter and Judith Stevens reflect on where movement, mark-making and maths fit into the themes.

Mathematical learning need not be a dull or daunting prospect, thanks to the ability of well-equipped outside spaces to let children immerse themselves in complex ideas while at play.

Ask yourself how you ask questions, and how you handle children's responses - are they learning anything? Helen Bilton explains.