By placing bandages adhesive side down on the soles of your shoes, the rough surface on the band-aid will help grip the floor, so your feet stay on it!
Simple and often very effective! New shoes – especially dress shoes with leather, pleather or other smooth outsoles – tend to be great at slipping on many a slick surface.
This will create a rough surface to add traction as you walk. The grit will help you travel on foot through anything winter can throw at you with ease.