My favourite proof of Pythagoras’ Theorem is this one, for the simple fact that the maths required to understand it is as basic as possible, and the constructions requires only two cuts. With this worksheet students can see that, no matter the dimensions, the theorem stays true.
In how many ways can 4 men and 4 women be arranged around a table if all the men are in pairs separated by two pairs of women?
Reflection for students in assessment tasks is vital – too often they are only focused on their mark and not what they have learnt. There are many strategies out there, but this is the one that I have developed: TRUCKS
Presentation on Computational Thinking for TM GEGSyd at the Google Offices on Wednesday 29th April 2015.
Presentation at the University of Sydney Mathematics Curriculum Alumni Conference on Thursday 23rd April 2014.