In this feature, we invite you to think about What Makes a Good Mathematician. Once you've reflected on your mathematical strengths and weaknesses, you might like to have a go at the problems in each of the sections below, which challenge you to collaborate, be systematic, and find opportunities to generalise.
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What makes a good mathematician?
In this article for students, we outline what we believe are the five key ingredients that make a successful mathematician. Where are your strengths? What might you want to work on?
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Learning to collaborate
Age
11 to 16
Challenge level
These problems demonstrate the value of approaching problems in more than one way
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Learning to be systematic
Age
11 to 16
Challenge level
These problems encourage you to work systematically
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Learning to generalise
Age
11 to 18
Challenge level
These problems give you lots of opportunities to generalise