>Kent, I DID read what you wrote. I'm simply asking you to reconsider your >position. My point was perhaps made too indirectly, so let me be blunt: >knowing that students have very definite interests (sports, sex, music, >etc.), I would urge people posing mathematics problems to take those >interests into consideration.
Sorry to throw in an irrelevant anecdote, but since you brought up sex...
While teaching an applied math course at Texas Tech I put a question approximately like the following on an exam:
Assume that (don't remember the number I used) % of the population is HIV positive, and you engage in high-risk behavior (shaking hands, hugging, sitting next to in class, etc) with 12 randomly selected people. What is the probability that you will be exposed to HIV at least once?
Probably should have done a follow-up survey to determine how many people failed to detect the toungue-in-cheekness of the high risk behavior examples.
I used problems like this frequently on exams, sometimes humorous (in my opinion, anyway) ("Bob goes nightclubbing to try to pick up women. If he has a 1 in 20 chance of picking up a woman at any given bar, and he goes to 8 bars, what is the probability of picking up at least one woman?" Didn't put this on an exam, but used it as a classroom example, with plenty of humor to diffuse the obvious political incorrectness) and sometimes with serious overtones (as that above).
I felt that it made class discussions more fun, had some effect on increasing attentiveness, and it certainly made my job more enjoyable and challenging (challenging, for example, because every exam, I felt, needed to live up to the standard that the previous one set for inventiveness/humor.) I didn't measure any of these effects, however, although I had the occasional "Wow! I never realized that math could be so interesting" on student evaluations.
With respect to "real world," I would take examples of mis-used or twisted statistical inferences from the student newspapers or poorly done "scientific" studies that had actually happened, just to show them how much math, if you really understand it, comes in to play in every day life.
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