Reasoning, convincing and proving

This article for primary teachers suggests ways in which we can help learners move from being novice reasoners to expert reasoners.

In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.

An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

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.

A introduction to how patterns can be deceiving, and what is and is not a proof.

Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result.

Freddie Manners, of Packwood Haugh School in Shropshire solved an alphanumeric without using the extra information supplied and this article explains his reasoning.

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

An article which gives an account of some properties of magic squares.

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.