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'Turning Man' printed from http://nrich.maths.org/
Why do this problem?
is intended to help children who are confident about turning themselves a quarter or half turn, but find it difficult to relate this to quarter or half turns in a picture or diagram. The Turning Man
is a "halfway house"
between these two.
Young children need plenty of opportunities to turn themselves before they are able to apply the ideas to other things. By way of introduction, you could work with them in a large space, perhaps outside or in the school hall, asking them to turn by different amounts physically. They can find it difficult to visualise turning and this problem, with the
interactivity, offers a bridge.
If you do not use the interactivity, you could print off this sheet
of men and give each child, or pair, one man. You could have your own man pinned to the board and demonstrate how he can be rotated, in quarter turns. You will probably need to ask the children to turn their man in the same way before going on to pose questions orally with the
whole class. Children could then work in pairs on the challenges by moving their man on the table.
Which way round does the man turn?
Where will he be after one, two, three ... turns?
This problem could be extended by asking pupils to predict what the man will look like after a certain number of turns - they could then check using the interactivity or a paper copy of the man.