The Pythagorean Theorem
Cut-the-knot.org has a page containing what they say are 98 proof of the Pythagorean Theorem. This is a theorem of which people should know a few proofs; it should not be given without any justification, proof, or reasoning; to do so is illogical and irrational, and trains students to do what they are told without understanding — not a good philosophy of education, if what we want our children to become rational, independent adults.