As far as clips go, my favorite is the "Scarecrow gets a brain" segment from the Wizard of Oz. http://www.youtube.com/watch?v=DUCZXn9RZ9s
The scarecrow gets a brain, then totally MANGLES the Pythagorean Theorem!!
The kids always get a great laugh out if it, then ask whether it was intentional or not. I'm assuming it was-- it's a pretty basic formula, and I'm assuming that even back then they had people checking facts. But is the intent to show that the wizard wasn't a wizard after all? Or does "isosceles" merely sound more difficult than "right"--was it a creative choice as opposed to a calculated one??