The main rule for all driving is to assume everyone else is actively trying to kill you.

It's something I was told when getting a motorcycle at 17, and it's served me pretty well.

Specifically on snow I think we subcontract too much from brain to ABS, traction control, lovely powerful heater and what not. We don't get Scandinavian amounts of snow in the UK, so whenever we do have snow you'll see dozens of ridiculous accidents because people don't take account of stopping distances or speed, or ABS being a hinderance in snow etc.