I bet most of you have seen the silly thing that was going around Facebook. It was a poll which asked: 6 ÷ 2(1+2) = ? It didn't seem worth even commenting on, because it dealt with such a silly issue. But it adds to math's bad reputation, and I loved Vi Hart's response, which is at the end of this video. (She saw a different problem floating around, 48÷ 2(9+3), which addresses exactly the same issue.)
The first part of her video is fun too. I bet she's lying about not knowing what 6x7 is, but that's ok by me. Maybe she can help the hopelessly honest among us (like me) learn to lie a little bit more. It seems pretty important to develop a culture of questioning instead of answering among math teachers and students, and that might just help.