My wife learned a technique from a French grade-school teacher that is very similar:
First, make the standard two loops from the two sides of the laces. Normally, you would tuck and wrap one loop through the hole you have made by crossing the loops and pull both loops tight to complete the knot. Instead, take the SAME loop you put through the hole and wrap it around AGAIN before pulling it tight to complete the knot. You will wind up with a knot that looks similar to the illustration above. The best part is when you want to untie the shoe, you simply pull both ends (grabbing the plastic ends of the laces) and pull them apart toward the right and left of the shoe. It won't come untied until you pull it apart this way.
I don't know how much time I've saved using this with my kids, although this morning my 9-year old daughter was about to walk away with the most-pathetic looking knot I've seen and she was totally fine with it.
Edit: after rereading your post, I think it's the same knot!