Tag Archives: counting

Completing the (four sided) square

completing the square

Advertisements

Leave a comment

Filed under algebra, language in math, teaching

Properties of operations, associative law

Why, oh why, are we burdening the youth of today with the associative law of addition?

It is OBVIOUS !!!!!

Adding three numbers corresponds in a one-many way to putting three bundles of things in a bag, mixing them up (optional) and counting them. It would be a sad day if the count depended on the mixing.

This is an example of how far you have to go in abstract algebra to find a non-associative operation (and a fairly useless one at that)

Image

No further comment from me !

Leave a comment

Filed under arithmetic