Think in Big Beats
Another use for this is with faster moving music with a lot of notes. Often times we get so involved in getting out all the notes that the music becomes frantic and no longer sounds comfortable. A good example of this is the third movement of the Casterede Sonatine. I have seen many students approach this piece in the feeling of four in an attempt to make sure they get all the counting correct. Unfortunately, thinking in this manner creates and very unsettling feeling to the movement. I prefer to think of this music in two, and if it still sounds too uncomfortable, I try to conceptualize it in one. Thinking through the music in these larger beat patterns is easier on the brain (after you've done your slow practice, of course) and sounds much more enjoyable to the listener.
This way of thinking can be applied effectively to almost all pieces of music, and I would highly recommend trying it. On the opposite end of the spectrum, I'm confident that everybody has already put in the time an effort to practice in the small beat patterns, play the subdivisions to double check rhythmical accuracy, played slowly with a metronome, etc. :-)