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Maths 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.
Conjecturing and generalising
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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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articleWinning lines
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games. -
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. -
articleFractional calculus III
Fractional calculus is a generalisation of ordinary calculus where you can differentiate n times when n is not a whole number.
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articleFractional calculus II
Here explore some ideas of how the definitions and methods of calculus change if you integrate or differentiate n times when n is not a whole number.
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articleFractional calculus I
You can differentiate and integrate n times but what if n is not a whole number? This generalisation of calculus was introduced and discussed on askNRICH by some school students.
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articleMagic squares
An account of some magic squares and their properties and and how to construct them for yourself. -
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.