I prefer to teach the chords in the order of the circle.
This is how they occur in tunes, and by teaching them in this way it makes it easier for the student to remember the circular order.
I preface this by saying "Any kind of an E chord has a very strong tendency to resolve to some kind of an A chord, and any kind of A chord has a very strong tendency to resolve to some kind of D chord, etc."
So the first chord I teach them on Day-One is E major open position.
In the first lesson I also teach them the six notes B C D E F G
on the first two strings and let them jam out on those notes while I play a phrygian Flamenco progression
( ||: E | Fmaj7 :|| ) - this gets them started improvising right away. But since this lesson is about chords and not melodies, scales or improvisation, I'll stick to chords for the rest of this.
copyright 2008 Jeff Brent