Pogies are a type of paddling mitt that attaches to the paddle shaft - they velcro over the paddle shaft with an opening to slide your hand in. You then grip the paddle shaft normally, but with the pogie encasing your hand (see photos below).
This has the benefit that your fingers together are collectively warmer than in a glove alone and you can slide your hand out of the pogie for any task that requires manual dexterity. For protection from wind chill they are the best!
The downside is that they are more open and tend to scoop up water. Also they are obviously not being worn when off water - if you are portaging or spending time on the beach you will need to consider additional warming hand wear. The solution may just be gloves and pogies!