Conjecturing and generalising

  • Sum the Series
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    Sum the Series

    This article by Alex Goodwin, age 18 of Madras College, St Andrews describes how to find the sum of 1 + 22 + 333 + 4444 + ... to n terms.
  • Why stop at Three by One
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    Why Stop at Three by One

    Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result.

  • Winning Lines
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    Winning Lines

    An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
  • Maths Trails
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    Maths Trails

    The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails.
  • Placing Our Trust in Learners
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    Placing Our Trust in Learners

    In this article Liz Woodham reflects on just how much we really listen to learners’ own questions to determine the mathematical path of lessons.