>> She was studying to become a college professor. She came into my office following her class and we were discussing the usefulness of some of the higher level, more abstract math classes. I have never forgotten her final statement:
"The only thing I will ever use this stuff for is to teach it to people who will never use it.">>
This really tells how much this person knows "what mathematics is all about". Seems we have quite many math educators who hate or dislike or at least are incapable of appreciating math ( and I am really wondering why they choose to be math educators if they do hate math!), so they are now trying to change the math into something that they can love and handle without efforts.
I still remember a popular joke when I was a little boy. There was a boy who liked to study and work very hard. He claimed that he always studied the whole book many times, but he still always failed the test. It turned out that whenever he found something he could not understand almost the first thought, he tear that page off. It ended up that most books he had studied had less than half of the pages left.