Explaining, convincing and proving

  • Purposeful Paper Folding
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    Purposeful Paper Folding

    In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.

  • Why dialogue matters in primary proof
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    Why Dialogue Matters in Primary Proof

    In this article for Primary teachers, Ems explores three essential features of proof, all of which can be developed in the context of primary mathematics through talk.

  • Paradoxes
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    Paradoxes

    A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.

  • Logic
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    Logic

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

  • Breaking the Equation ' \Empirical Argument = Proof '
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    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.

  • Volume of a Pyramid and a Cone
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    Volume of a Pyramid and a Cone

    These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.

  • con Tricks
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    Con Tricks

    Here are some examples of 'cons', and see if you can figure out where the trick is.

  • 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.