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In this feature students are invited to explore a variety of problems and are then challenged to construct convincing arguments to explain what they have discovered. They offer an opportunity for rich mathematical discussion in the classroom.
The last day for students to send in solutions to the live problems is Monday 16 May.
Plus magazine has a selection of interesting articles looking at logic, the basics of mathematical logic, its role in computer science and the philosophy of maths, and on how it's being used in applications.
You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.
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problem
River crossing
There is nothing half so much worth doing as simply messing about in boats...
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problem
Isosceles seven
Is it possible to find the angles in this rather special isosceles triangle?
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problem
The Tour de Clochemerle
Can you work out where these 5 riders came in a not-quite-so-famous bike race?
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problem
Iff
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
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problem
Mind your Ps and Qs
Sort these mathematical propositions into a series of 8 correct statements.