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I have a fair amount of experience teaching children and adults how to play chess.

I've almost never seen a beginner mess up the basics of how the pieces move(what this piece set displays). Probably 95% of confusion about rules in new players is about the things you mention. Especially en passant and castling rules.

The rule on castling through check is especially confusing, and I've seen even master strength players believe that you can't castle long if b1 or b8 is attacked. Another common mistake is forgetting the rook or king has previously moved.

En passant is also very confusing for beginners because there's no indication of it being possible in the current board state. It depends on the previous ply.

Repetition is also a major footgun in tournament play. It's often referred to as repetition of moves, but it's actually repetition of the position(which is typically reached via repetition of moves, but doesn't have to). And there's a very specific procedure in tournament chess for claiming a repetition. You have to write down your move, stop the clock and call the arbiter without making the move. If you make the move and hit the clock, now your opponent has every right to make another move, creating a new position. The repetition no longer counts when that happens(so you can't claim e.g oh the position repeated a 3rd time 15 moves ago, gimme a draw).

I actually lost a game this way when I had a repetition in a losing position.



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