During Trait and Skill rolls in addition to just declaring the action a player is going to take prior to rolling, players should also state the specific purpose for the roll. For example, if a sneaky character were to want to pick a lock, instead of just saying “I want to pick the lock”, they would say “I want to pick the lock before the cops walk by”. This creates a situation where the player is rolling for the larger context.
This does two things. First of all the player gets to succeed in a more specific way. This also gives the GM a broader range of story choices in representing a failed roll. To borrow from the earlier example, if the sneaky character succeeds in his lockpicking roll he’s guaranteed to not have his success stolen from him. He gets the lock open and they get to safety. However, if he fails the GM can play with the failure a little more. It might be that he doesn’t get the lock open before the cops show up. Or it might be that he gets the lock open, but what they find on the other side of that door is worse than getting caught by the cops.