I know what he's doing because I already know
And speaking of what he's doing ...
Andrew, there's actually good precedent for your preference to go the opposite direction to what most people show. Look at the way lumberjacks do their blades. (Or knights with their swords, but let's use a more common example.)
They hold the blade still and stroke the stone over it, from the handle out toward the tip. You could argue that's simply a more convenient or natural motion when holding the blade still and moving the stone. But if there's a way to get the blade sharper, these guys would do it.
http://www.wonderhow...en-an-axe-194871/
That's a home user, but I've seen the competitive guys do the same thing.