Hmm, this is certainly quite thought-provoking. I think the "doing it" part of it is going to be unique to each individual's learning style but I'll share my most recent experience on this:
Just last weekend I helped a lady learn the Natural Turn in a Waltz and the Reverse Turn in a Foxtrot. She saw me in the studio doing my Natural Turns consistently and she wanted me to take a moment to see what she was missing in her movement. I was quite flattered by her request, so I took a look and saw that her energy was very different from what I was doing. I didn't want to try and "fix" her, 'cause that would require me to actually know something about the lady's Waltz Natural Turn.
Instead, I thought I'd let her discover what a Natural Turn should be like. I wasn’t afraid to help her because she had been dancing for 2-years already and I knew that she knew how to do it. I only had to figure out how to put her right brain in the driver’s seat (and consequently, lock up her left brain in the trunk, bound and gagged).
The first thing I had to do was to disarm her, get through her reptilian brain's defenses.
Some of the other folks here will be better able to explain what the reptilian brain is and what it does (paging DSV!) but basically its function is to protect you. So it acts as a “judge” and in its quest to protect you it rejects new information that contradicts with information that it has previously accepted. So in my particular case, the lady I was dealing with had about 2-years of Natural Turn information that she had paid $90/hour for. I couldn’t start a dialogue with her ‘cause that would be akin to a full frontal assault on her “judge”. In the few minutes I had to help her there was no way I would win that battle. So I had to fight dirty.
My coach frequently uses a right-brained technique that works very effectively on me. His technique involves making me do something without letting me realize I’m doing it. That way, after I’ve done it, I have no excuse to say that it's “hard”, “impossible”, “I don’t understand”, etc. After every lesson I always feel like I’ve been sucker-punched with the information I needed.
With that in mind, I got her to leave behind all her previous "baggage" and information that she had gathered over the years by telling her to forget that she's in a dance studio and to think of what we were about to do as a fun little game: NOT a DANCE. I kept telling her to forget that we were dancing, let alone doing a Waltz Natural Turn. I went through some motions with her and it took her about 5-minutes to truly let go. The minute she let go of the concepts that she had of a Waltz Natural Turn, she was able to imitate exactly what I was doing without me having to mention any aspect of the technique involved. It took her a while to realize that what I was doing was a disguised Natural Turn. When she was comfortable with the movement without any warning I took out the "disguises" and made her do a full scale Natural Turn. I went through about 3 more Natural Turns before it clicked in her mind what she was doing. She was quite amazed at what she had done, or rather, what she had ALWAYS been able to do.
So in effect, by making her just "do" it, I starved her information-hungry left-brain and only fed her right brain with the images necessary to co-ordinate the action. Within 10 minutes, she was able to do the Waltz Natural Turn just the way she had always pictured it. She got so excited that she wanted to know if the same approach would work for the Foxtrot Reverse Turn. Well, with her right brain in the driver’s seat, it took her all of about 1-minute of dancing to be able to do it better than she had ever been able to.
I think I was as surprised as she was as I myself made the switch to right-brained dancing only a few months ago. So there’s not too much I know about this subject except my own experiences.