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An Introduction to Proof by Contradiction
An introduction to proof by contradiction, a powerful method of mathematical proof.
Explaining, convincing and proving
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articleSymmetric Tangles
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why! -
articleProof: A Brief Historical Survey
If you think that mathematical proof is really clearcut and universal then you should read this article. -
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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pageMathdoku Demonstration
This video of Charlie and Liz solving a 6 by 6 Mathdoku may give you ideas for strategies to try.