Dressage lesson, then lunge line!

John rode Duke for two days, then I had a dressage lesson tonight.  Even though Duke felt great when I got on him (his back always feels lifted, and he floats when he moves, and he's steadier in the rein and doesn't need as much leg after John rides him), I was all discombobulated and couldn't coordinate my aids for shit.  So we worked on me looking at John to keep my circle the same size, and pushing him in (front legs cross over) or out (don't let shoulder bulge out).  We worked on half halt (both legs steady on, outside rein), bending to the inside, bending to the outside, and then, both legs to move him forward.  If he ignored me, which he spent some time doing, John told me to really make him pay attention.
John also tightened my nose band by a hole and put a loop in my flash and then tightened it.
Duke was going great, it was just me who was floppy, with my legs all over the place and my hands all over the place, and even my shoulders all over the place.
So then, when I thought we were done, John put me on the lunge line, with Duke in side reins.  This felt absolutely crazy.  I rode with my arms over my head, out to the side, on my hips, or left hand on my back (we were going left).  I had to look at John, look to the front, look to the outside with my arms out to the side, then do it with my hands in "reins".  I had to give a little with my inside hand.  We went up to the trot, kept him going, cantered, and then had to do down transitions with my legs only.  Yikes.
Then he had me stretch up, pull my ribs away from my hips, then look up (not down).  This made me much taller and lifted my chest.  He had me use my hip to push Duke out - not lean the direction I wanted to go, but slide my hip diagonal across the saddle, which Duke liked a lot and responded to instantly.
For the down transition, I had a eureka that I'm not using enough leg, and on the lunge line, I could feel how much I collapsed to the inside over my hip.  It was amazing to feel the difference.  Also, bizarrely, my legs went from behind me and tucked up to in front of me, like a ski boat.
John said that at shows, we might try lunging him for 20 minutes, riding for 10, then going into dressage.  Just so he feels that he's supposed to be round and remembers it.