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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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articleWhy Stop at Three by One
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.
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articleMagic Squares
An account of some magic squares and their properties and and how to construct them for yourself. -
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. -
articleWinning Lines
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games. -
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. -
articlePlacing Our Trust in Learners
In this article Liz Woodham reflects on just how much we really listen to learners’ own questions to determine the mathematical path of lessons.