I teach high school math. I sell a product to a market that doesn't want it, but is forced by law to buy it.
We're no longer intimidated by math, because we're slowly redefining what math is.
Students need to decide, 'All right, well, does the height matter? Does the side of it matter? Does the color of the valve matter? What matters here?' - such an underrepresented question in math curriculum.
Don't run with swords in your mouth!
The physical five oranges goes up the ladder to the picture of the five oranges which goes up to the representation of the five oranges as a numeral. This points in the direction of a definition of abstraction: when we abstract we voluntarily ignore details of a context, so that we can accomplish a goal.
Cold steel was not meant to be an after-dinner dessert!
