median
don steward
mathematics teaching 10 ~ 16

Friday, 11 April 2014

mistrusting diagrams

students probably need to know that diagrams aren't always trustworthy...

they can be asked to establish what is wrong with these diagrams that lead either to a missing area or an extra area after a dissection and a rearrangement

youtube clip

four variations on a theme:








what is wrong with these?
plus a chocolate generating device:


sometimes called the 'Tarski-Banach' paradox


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