I didn't actually realize the goal of the game was to do it all in order! The help text just says "Move the knight to every square, right to left, top to bottom."
It may have been updated after you started.
I'm having difficulty understanding your difficulty in understanding. What did you think "right to left, top to bottom" meant?
I got the same problem, I thought it meant 'relative to the current position', until you hit bottom left.