While it is only that last drop back that determines whether White draws or not, I recommend that all the drop backs are handled that way. Consider the following position:
It does not matter whether White plays 1.Kd3, 1.Ke3, or 1.Kf3. It only matters that he plays Ke1 at the appointed time. However, I always feel much better when I see one of my players move 1.Ke3 because it gives me confidence that he understands STRAIGHT BACK DRAWS.
Their is an entire body of endgame theory regarding the principle of "opposition" which applies to most endings where only kings and pawns are left and the player who understands it will be able to figure out this position at the board. However, even if a player does not remember the opposition or is too low on time to figure it out, STRAIGHT BACK DRAWS will enable him to save the half point. It will also tell him whether he want to trade off rooks in a position where he has a rook and king against his opponent's pawn, rook and king.
So remember, STRAIGHT BACK DRAWS or "SBD," which I am confident can be turned into a scatological mnemonic device by any high school age male.
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