The new rule for beginners
The aim of chess is to checkmate the other player. Nothing new there. However, since most beginner games are won due to blunders leading to material loss long before any mate, this material loss is essentially why beginners lose. Knowing this, it becomes rather pointless to continue a game after one player is down a piece (not just a pawn) or more, since the winner is likely to be the one ahead on material - unless of course the one who is ahead blunders even more material away, on his or her way to what should be have an almost certain victory.
Based on this notion, I suggest a new rule for beginners: when one player is down a minor piece or more (3 pawns), and doesn't equalize the material score within the next 3 moves, the game is over, and the other player wins.
With this rule of play, beginners (driven by the will the win) will pay much more attention to the safety of their pieces, knowing that losing a piece might mean losing the game! As a result the number of right out blunders will decrease, and the games will soon become more like real chess.
I truly believe this rule will accelerate the rate of improvement for beginning chess players, and I'm curious to know what my fellow chess players think.