At 03:04 PM 9/25/2013, Richard Strausz wrote: > >The usual trite crap: This is, in fact, the > exact opposite of how most students experience > math. Too often, math is an inscrutable recipe > book, describing foods youâve never sampled > (and probably wouldnât care to). You must > follow each recipe to the letter, because you > have no clue how the ingredients taste, or what > will happen if you combine them in new ways. > And when you finish cooking, you throw the meal > in the garbage disposal, and begin again... > >Wayne > >I don't teach in Lake Wobegon; not all of my >students are above average. Some of them think >that it is coincidental that the distance >formula and the Pythagorean Theorem both work to find distances on a grid.
And never will. Or even earlier, that slope of a non-horizontal, non-vertical line on that grid has something to do with similar triangles. So what? That's no excuse for not teaching things in logical order for those who do and impeding their progress for the "good" of those student who never will. The "Math-Teach", the name of this listserve, really does have meaning along with "mathematics" itself.