Sure, you learn some mathematical tools that can help you solve some very practical problems, but it stops about there. I was not taught anything close to creative mathematical thinking. I was never taught the fundamentals of things: the axioms and the theorems on which the tools we "learn" are based on. I can guarantee you no one in my graduating class could read a proof of even modest complexity, let alone write one.

Granted, I did go to a school with a good reputation, but one of a very practical/applied program. Still, I'm pretty convinced that math and engineering are very, very different fields, even if all engineering programs include a handful of math classes.