My horse only wants to face me or trot….

I saw Stacy at the Equine Affaire expo in Columbus yesterday and had a question about the groundwork done. Part of the groundwork showed how to get your horse to face you square on. I have been working with a horse that is continually stopping and facing me during lunge work. He is good about staying out of my space and following/backing up, but when I ask him to do a downward transition on the lunge line, he stops altogether, swings around and faces me directly. When I gently ask him to move on, he takes off at a trot again, and if I ask him to slow down, he simply stops and faces me once again. Sometimes he even does this without me asking for a downward transition. We have spent several lessons working on this, but I feel we have gotten nowhere. What can I do differently?

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