Reasoning, convincing and proving

  • Adding all nine
    problem

    Adding all nine

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
  • Calendar Capers
    problem

    Calendar capers

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Choose any three by three square of dates on a calendar page...
  • Breaking the Equation ' \Empirical Argument = Proof '
    article

    Breaking the equation 'empirical argument = proof '

    This article stems from research on the teaching of proof and offers guidance on how to move learners from focussing on experimental arguments to mathematical arguments and deductive reasoning.

  • Symmetric Tangles
    article

    Symmetric tangles

    The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
  • Primary Proof?
    article

    Primary proof?

    Proof does have a place in Primary mathematics classrooms, we just need to be clear about what we mean by proof at this level.
  • The Dangerous Ratio
    article

    The dangerous ratio

    This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.
  • Logic
    article

    Logic

    What does logic mean to us and is that different to mathematical logic? We will explore these questions in this article.
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