Have you ever heard someone make the comment that someone is a good listener? What can that mean, but that the other person puts listening (i.e. actually paying attention to what the other person is saying) ahead of what they are going to say next. They put the other person first.
The same is true with prayer. In giving our whole attention to listening for God to speak, we put Him first -- not our own agenda of what we would like God to do for "us."
Prayer is about changing us and changing our hearts, not changing other people or circumstances.