In this Nuffield interactive activity students are asked to explore, analyse and describe the patterns generated by moving counters between two stacks according to a fixed rule, always doubling the size of the smaller stack.

The key processes developed by this activity include:

*Representing - identifying which variables and other mathematical aspects to focus on and devising appropriate forms of representation.

*Analysing - working systematically and forming conjectures about relationships.

*Interpreting and evaluating - exploring, verifying, justifying patterns and generalisations.

*Communicating and reflecting - describing decisions, conclusions and reasoning clearly.

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