Hadn't thought much about the "show your work" dilemma (still brings up annoyed thoughts of getting my sight division ability broken by long division.)

Think if DS brings it up I'll make references to computer programming. We sometimes play a robot game, where I'm a dumb robot and he has to get me somewhere to do something (turn right... I keep turning and turning.... STOP!) Maybe "what if your teacher was a robot and needed to solve this problem..."