180 Days of Ideas for Discussion in Math Class.
(as of 9July2014, we're in overtime!)
There comes a point where diagrams like this do not illuminate the problem. Multiplication of fractions means "of".What is one quarter of one quarter ? easy, with a sensible diagram.It is my opinion that fractions should be seen as numbers from day one, eg "what is half of six ?", which can be compared meaningfully with "what is 3 times six ?".Send me an email to email@example.com and I will send you my paper on what is wrong with basic math (mostly about arithmetic etc).