Try kiteboarding 101, 201, dont know what vid your watching but sounds wierd

As mentioned above, drive the kite up as you edge the board up wind hard, as the kite reaches between 12 and 1 just spring upwards with your legs and follow the natural pull/direction of the kite.

Like Sunseeker said, all one fluid motion

Hi Babelfish.
Getting good pop is not just about the release, but the set up is equally important.
For the first few times start out on a kite that is not overpowered, but is just comfortable, towards the bottom of its wind range, but you dont want to have to work it.
Sail at the fastest point of sailing, just off the wind with the kite at 45 deg, (no higher or you cant edge so hard and it will feel dangly). Have both hands in the center of the bar next to the chicken loop.
Now beer off slightly more, to relieve the line tension and unhook. This also drops the kite further back into the window and gives you something to pull against. As soon as you've unhooked carve hard into wind and pull hard against the kite. As you do this the kite will also accelerate towards the edge of the window generating even more pull, push hard with both legs to spring off the water, letting you legs swing out behind you as you leave the water.
Look down at the water to spot your landing, and get your legs back under you to land going downwind towards the kite. The kite lines should be slack as you land, and you can hook back in again.
So what is important here is to get the kite to drift further into the window as you beer down wind to unhook and then pull hard against it to accelerate it back towards the edge again.
If it feels like you are dangling you are steering the kite up, try to pull more with your front hand to stop the kite moving. It should feel like you are weightless for a fraction of a second.
Once you have done this you are well on your way to unkooked unhooked kitesurfing.

a bit more on getting pop from the board is it should be a short sharp edge and release with the board. Check out some wake boarding footage to get a better idea

As Juicerider says - 'beer' lubricates most learning activities!!!

Pop comes from carving hard upwind and setting an adge against the kite so you are trying to stop it and its trying to ripp you off the water ( ok so a bit extreme in the learning stages!!).

Another way to think about it is cruising along behind a wake boat ( nice steady pull) - if you carve hard against the boat the load on the tow line will increase and "pop" you off the water - just before you 'pop I reckon your kness will be a bit bent in anticipation and just when your kness are about to explode you''ll extend your legs and get the most magnificent pop ever!! - Kites the same really only you are controlling that at the same time - have fun and good luck!!

Oh I thought of another, is explained well in the link below and is probably as important just after you release.

Keep you shoulders pointed in your direction of travel. This is also true when sending the kite. Don't follow your kite.

This has probably been the most essential fine point I have come across.