Explaining, convincing and proving
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articleIf you think that mathematical proof is really clearcut and universal then you should read this article. -
articleBreaking 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.
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articleOn the importance of pedantry
A introduction to how patterns can be deceiving, and what is and is not a proof.
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articleTake one example
This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure. -
articleBinomial coefficients
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
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articleReasoning: identifying opportunities
In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.
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articleReasoning: the journey from novice to expert (article)
This article for primary teachers suggests ways in which we can help learners move from being novice reasoners to expert reasoners.
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articlePurposeful paper folding
In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
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articleAn introduction to number theory
An introduction to some beautiful results in Number Theory.
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articleWhy 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.