I don't like the idea of talking or thinking myself through the shot in words. For me, any cognitive thoughts, which are mainly thoughts in words, block my ability to be aware of my body physically. Instead, I like to be aware of the different parts of my body that need to be checked during the shot sequence without thinking about it in words.
This is different from a mantra, which Joel recommends. A mantra is one word or a couple of words repeated over and over. The purpose of a mantra is to increase concentration on the most important part of the shot, by blocking out all other distracting thoughts. So in that sense, even though a mantra is words, it is the opposite of cognitive thoughts, since it is intended to block them out. Even though a mantra is words, the words lose meaning as such due to the constant repetition and solely serve to focus your concentration.
I found this difficult to do, at first, since I want my awareness to expand enough to notice any shot problems in time to stop the shot. Finally, after conversations with Joel, I understood that I have to do both, although not at the same time. During draw, I expand my awareness to the maximum extent possible. After I am at full draw, and am satisfied that I am set up properly, then I focus my concentration on holding and releasing the shot.
I'm going to be backpacking during the next week, and will be out of communication for a while, but if anyone has any questions about what I just said, I'll be happy to discuss it further when I return.