Please forgive my ignorance, but what do those two terms mean?
What exactly is being claimed?
This is in regards to when you claim a flag / stone in Battle Line / Schotten Totten.
Schotten Totten has a standard rule that you claim at the beginning of your turn while Battle Line has a standard that you play first and then claim (claim first is provided as a "recommended" variant after you are familiar with the game).
Most people prefer the claim first option, as it gives the opponent one turn to react and adds even more tension to an already great game.
My wife and I used to play quite a bit at flexgames. It's a nice little site.