Winter gloves

am struggling to work out the solution to this problem

spent all day outdoors teaching and my fingers were frozen

is there an outer goretex (or similar) shell that you can add to your normal gloves for cold/wet days. layering tends to be the best solution for clothing issues so was wondering if anyone can suggest something.

I got a pair of these, http://www.rohan.co.uk/Product/Detail/MensAccessories_02953?ocode=02953595
only really needed them this week. Outside for 5 hours today, not particularly active, I would normally get quite cold. Not with these though, and OK for riding there and back too.