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Being curious - Secondary teachers
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Impact stories
This page details NRICH's impact through our partnership projects with schools.
problem
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Caterpillars
5 to 7
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
problem
Euler's totient function
16 to 18
How many numbers are there less than $n$ which have no common factors with $n$?
article
Difference dynamics discussion
This article discusses what happens, and why, if you generate
chains of sequences getting the next sequence from the differences
between the adjacent terms in the sequence before it, eg (7, 2, 8,
3) maps to (5, 6, 5, 4).
problem
The Pied Piper of Hamelin
7 to 11
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
project
Troublesome triangles
7 to 14
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
article
Placing 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.
problem
It must be 2000
7 to 11
Here are many ideas for you to investigate - all linked with the
number 2000.