Loc: Melbourne, Australia
I posted this in the classical section first, but I might as well post it here too.
I hear them as just root position chords (lowest tone is always the root note of each chord. I think you are not tuning into the bass notes properly, that's why you are having trouble. I've put bass note in bold, and highest sounding tone (melody) after the chord. Play it with just the melody and bass tone first and you will hear the most important features of the changes. The middle notes are there to fill things out.
1. Dm7 (D,F,A,C) Melody Note:D 2. F (F,A,C) Melody: A 3. Am (A,C,E) Melody: C 4. G (G,B,E) Melody: B