article
Sum the Series
This article by Alex Goodwin, age 18 of Madras College, St Andrews
describes how to find the sum of 1 + 22 + 333 + 4444 + ... to n
terms.
Conjecturing and generalising
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articleMaths Trails
The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails. -
pageFolding, Cutting and Punching
Exploring and predicting folding, cutting and punching holes and making spirals. -
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pageProblem Solving, Using and Applying and Functional Mathematics
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information. -
listGeneralising
These tasks give learners chance to generalise, which involves identifying an underlying structure. -
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.
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articleGames Related to Nim
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
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articleGo 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.