There are different ways people learn.
The two main groups for physical skills are Verbal and Visual learners.
A pure visual learner watches someone else doing something. They try to imagine how it feels. They try to put themselves in that persons body. They visualize it as a whole and visualize themselves doing it. Then they just go and try to do it as they have it in their minds eye.
By thinking about doing something and imagining yourself doing it you stimulate the actual nervous pathways from the brain to the muscles. Your body actually practices it as you visualize it. Then you just go an try to do it as you have it pictured in your mind.
Sure there are adjustments, coaching points that need to be emphasized, errors that need to be corrected, but good visual learners self diagnose well and often pick up new skills very quickly and very well.
The pure verbal learner likes to have every minute movement and step explained to them in great detail. Foot there, hand just there, arm in such and such position, lean this way, etc, etc. I am not a verbal learner and I am very challenged when I am trying to teach such a learner (one of my best windsurfing mates is the most extreme verbal learner I have ever met!). I struggle to see how VL's keep all that info in their heads and tick each move off as they do it, but somehow many of them do manage.
Since I am most definitely in the former category, my advice about learning to Gybe (and everything else for that matter) is to watch the best you have access to. Try to imaging yourself doing what they do, try to imagine how that would feel. Then go out and try to do it without over analyzing it to death. Be aware that this approach take great
commitment! You must trust you body to do it. You must not be intimidated or fearful of a crash or failure. You just GO FOR IT!
You
will fail! That is part of learning. But the more committed you are the faster you will learn. As far as Gybing goes, about the worst that can happen is that you get
wet!
Imagine leaning forward and into the turn.
Imagine getting as much speed as possible to carry you through the turn. Speed is your friend.
Watch how the good carve gyber bears away for a few meters to accelerate before they start carving the board.
Imagine yourself doing all the things Glitch lists above:
"1. Don't rake the mast towards the back of the board.
2. Bend ze Knees.
3. Don't make the turn 180 degrees.
4. Commit to the turn.
and push the rig away from you leaning you rig into the turn.
Now watch as many videos of someone doing a sweet carve gybe as you can find. Put yourself in their body and mentally practice.
Next time you get the right conditions (planing), go for it! Water start and try again, and again, etc
Here is a good video

to start you off: