Conjecturing and generalising

  • spaces for exploration
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    Spaces for exploration

    Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
  • 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.
  • Games Related to Nim
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    Games related to Nim

    This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.

  • 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.
  • Go Forth and Generalise
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    Go forth and generalise

    Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.
  • Fractional Calculus III
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    Fractional calculus III

    Fractional calculus is a generalisation of ordinary calculus where you can differentiate n times when n is not a whole number.