Students are generally woefully undereducated and unaware about applications of mathematics. This is particularly important, as many of them (especially in Social Sciences and the Humanities ?) will be -interpreting- numbers, not just (or even primarily) -manipulating- them. Imparting -understanding- is tricky, and ideally requires cooperation (at the primary and secondary levels at least!) between math teachers and others -- which basically doesn't happen. I'd like history classes to include quantitative reasoning as part of their curriculum. ---------------------------------- In a general math class (aka, calculus ;-), one can remedy this somewhat by doing occasional studies and lectures on specific examples. Note that reasoning about numbers in the world is generally statistics. There are other -applications- of math to the world, but there the connection (e.g., dynamics, option pricing) between the math and the world is usually tight and obvious. I've attached a few, for starters.