The difference between still hunting and stalking is that when stalking, you follow signs leading to a particular type of game or group of animals, or close the distance to game already spotted.
Stalking is a slow, patient movement of the hunter into shooting position by following signs such as a track in the snow or by following the animal itself after it has been sighted. Just like still-hunting, stalking is best accomplished in an area where you can move quietly. It is helpful to have trees, shrubs, or grass to hide behind as you sneak up on the animal. Perhaps most important is wind direction. Always try to move into the wind, so the wind carries your sound and scent away from the animal.