Block play allows a child to mix creativity with mathematical problem-solving, says Anne O'Connor.

Seb, aged three, is playing at home with his mother. He has built a structure out of wooden bricks and has added a road track, cars and small-world figures to his building. His mother responds to his directions as he creates a dramatic scenario for their play. He talks about what he is doing and his reasons, describing his thought processes as he finds a better brick for the fireman's pole and when he is hunting for exactly the right brick to fill in the gap along the top.

He knows he needs a matching 'half brick' to create the right hexagonal shape and tells his mother he is looking for a 'partner' for the one that he has in his hand.

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