Explaining, convincing and proving
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interactivityProof Sorter - Geometric Sequence
Age16 to 18Challenge level
Can you correctly order the steps in the proof of the formula for the sum of the first n terms in a geometric sequence? -
interactivityProof Sorter - The Square Root of 2 Is Irrational
Age16 to 18Challenge level
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order. -
interactivityProof Sorter - Sum of an Arithmetic Sequence
Age16 to 18Challenge level
Put the steps of this proof in order to find the formula for the sum of an arithmetic sequence -
interactivityProof Sorter - Quadratic Equation
Age14 to 18Challenge level
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations. -
articleMastering Mathematics: The Challenge of Generalising and Proof
This article for primary teachers discusses how we can help learners generalise and prove, using NRICH tasks as examples.
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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. -
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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articleCon Tricks
Here are some examples of 'cons', and see if you can figure out where the trick is.