By the way, Mario 3 doesn't really change the "jumping" rules, but rather the "walking off the edge of a platform" rules. In levels without slopes, you can inch your way over the edge of a platform and Mario won't fall as long as even the slightest bit of his foot is on the edge. In levels with slopes, however, Mario will be allowed to fall as soon as his midpoint passes the edge of the platform. Without this change, he'd "hover" over the edge of every slope you'd try to have him walk down.
I am really humorously confused about why this comment got so many upvotes. Am I missing something?
Chris Pruett writes on the Robot Invader blog:
I suppose this explains why I am better at arcade bowling games than I am at actual bowling. More seriously, while I had some vague awareness of this, I am slightly surprised at the breadth (Mario 3!?) and depth to which this "control re-interpretation" takes place.