That's the thing lizzie, you don't have to make it a game. It IS a game, it isn't real! And so many math teachers confuse their kids by treating it as reality.

How many poor little sods have agonized for years 'cos they are trying to assign a value or a meaning to zero. Zero is nothing. That means "There is no such thing as zero". You have math teachers all over the world telling kids that it is a number, when they should be telling them "Let's pretend that something is there when it isn't"