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Spaces for Exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
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Transitivity
Suppose A always beats B and B always beats C, then would you expect A to beat C? Not always! What seems obvious is not always true. Results always need to be proved in mathematics.
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Ten Hidden Squares
7 to 14
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
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A Chance to Win?
11 to 14
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
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When the Angles of a Triangle Don't Add Up to 180 Degrees
This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the triangle.
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Two Dice
5 to 7
Find all the numbers that can be made by adding the dots on two dice.
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Power Countdown
14 to 16
In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
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Secondary Live Problems and Recent Solutions
On this page, you can see Secondary problems that are currently open for solutions, as well as some recently solved problems.
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Mastering 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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Coordinating Classroom Coordinates
This article describes a practical approach to enhance the teaching
and learning of coordinates.