For most people, dealing with any math is parroting, which is the problem. Creating proofs of simple things is well within the grasp of bright high school stud

For most people, dealing with any math is parroting, which is the problem. Creating proofs of simple things is well within the grasp of bright high school students, and is a wonderful experience -- I feel sorry for anyone who misses out on it. Really, very little traditional mathematics is required to enjoy proving that there is no solution to the bridges of Konigsberg problem, no way to cover a chess board with dominoes leaving only opposite corners exposed, or no largest prime.