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Article by Dave Hewitt# Train Spotters' Paradise

*In mathematics classrooms, we are sometimes guilty of being satisfied with a 'pattern-spotting' approach to learning mathematics. As part of our feature on Patterns in Number Sequences, the ATM have kindly given us permission to share the following article written by Dave Hewitt, where he alerts us to 'the richness that can be gained by
looking at a particular situation in some depth, rather than looking at it superficially in order to get a result for a table and then rushing on to the next example'.*

Train Spotters' Paradise, by Dave Hewitt

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Age 11 to 16

Published 2012

Train Spotters' Paradise, by Dave Hewitt

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?