GP, I've shown them and they have mastered that very technique, but the warning you give on move 11 often doesn't stick. More common though are stalemates with more pieces.
Some recent stalemates, white to move.
White decides he's going to promote the pawn. h6 1/2-1/2
White fiddles with the king, going back and forth and around... Kd4, Ke4, Ke5, finally Ke6, 1/2-1/2
I have seen this one at least three times.
Again, white decides to promote. f8=Q 1/2-1/2
I encourage them to promote to rooks, but they love their queens!
And yes, the other issue is when a player wins a rook in the opening, then doesn't know how to exchange down without dropping an extra piece or two. I've got them working on tactics, but it's sometimes painful to watch them simply miss-count and exchange away more than they get.