Note: All references to simanim in Shulchan Aruch are in Orach Chaim. What is happening when you are davening? The Shulchan Aruch (98:1) says that you should just concentrate on the plain meaning of the words that are coming out of your mouth. Consider yourself to be standing in the Divine Presence and remove all extraneous thoughts from your mind so that your prayer should be pure. Keep in mind how carefully you would arrange your words if you were standing before a powerful earthly leader. (98:3) Express your prayers as someone who is destitute and has an audience with someone who has the ability to give you everything you need; this is not a bother, but an incredible opportunity. I have a little experience with this. I once worked as the radiation physicist in a hospital that had very antiquated treatment planning facilities. I was granted a 15 minute appointment with the president/CEO/head honcho of the hospital to explain the need and give my recommendation for how to rebuild the ...
This is a paraphrase of the pasuk in t'hillim 84:7 -- "mei'chayil el chayil" -- which means "from strength to strength". In this case, it is my thoughts and ideas to those who are strong enough to be interested :)