Slips on ice are a product of shearing forces and lack of traction. Shear shifts a full 180 degrees during a single foot strike while running in a straight line. This is why sometimes you feet go first and other times you fall flat on your face. Even greater shear is put on the foot when you suddenly turn in either direction. So it is always important to have a heightened sense of traction awareness when making a turn.
One can improve traction in winter conditions with this little trick.