I've often thought that people should teach maths via chessboard puzzles and the like. Start with solvable ones, ask "Can you spot the pattern?" when generalising those to other similar ones, then move on to impossibility proofs.
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I've often thought that people should teach maths via chessboard puzzles and the like. Start with solvable ones, ask "Can you spot the pattern?" when generalising those to other similar ones, then move on to impossibility proofs.