I most always move in slow motion. Move when they are head down feeding. I also try to move with the breeze or when they are walking. I always figured they would have more trouble hearing me when they are making their own noise.
Basically, I change my whole rhythm and try to slow way down. I've been busted enough times jerking my head around, I've learned to overcome the urge. I missed a trophy buck doing that once, got excited, and turned my head quickly.
There is definitely some correlation between actively looking for game and passively (lazily) looking. They can sense your tension I think. I'd spent a couple of weeks sitting a spot with good Deer sign, never saw a thing until I fell asleep and woke up with 14 Deer thirty yards in front of me.
Basically IMO if you try to see everything in all directions you will see little or nothing.