I am making some modifications of snake and ladders so that this purely luck-based game can have a strategy and used to learn mathematics as well. So far I only have this idea:
Once a player roll the die he can choose to move his own piece forward equals the number shown on the die or move an opponent's piece backward also equals the number shown on the die. This way we at least have a choice aspect whether we want to move forward as fast as possible, avoids snakes ahead, or even drag your opponent to snakes.
Can any of you suggest other ideas so that we can have various snakes and ladders game which is not pure luck-based?