Living in Montana, I use several styles. In the open (pairie) terrain, I like to use spot-and-stalk. This is especially productive in antelope hunting, but works for mule deer and even white-tail once in a while. I use still hunting (which is really NOT still, but moving slowly) and also stand hunting a lot when in heavy cover, depending on the hunting conditions. If the ground is noisy with crunchy snow or leaves, I might just stay put, but if there's quiet footing, I'll be moving which I'll also do if it's windy. The deer can't hear as well and are less likely to move when it's windy, so you have to go to them.
The ten pointer that's in my avatar was killed last year in thick cover with very quiet footing (about 4 inches of snow). For that one I used a combination of still and stand hunting. The buck responded to a series of doe bleats and buck grunt calls about 10 minutes after I decided to stop moving and try some calling. It was less than 50 yards out and still coming straight at me when I shot him.