You know it's winter when I start doing research. It must be cabin fever after being homebound for the weekend.
This is about neck warmers. I've worn scarves, but I hate the wrapping and the bulk. Several years ago, one of my adult students gave me a slightly-oversized headband that she had knitted with a beautiful, soft yard. She told me it was a neck warmer - like a Dickie, but without the bib part.
I wear it all the time in the winter at the rink. It's not bulky at all and it keeps me warm. My turtlenecks are good, but this fills the air space between the turtleneck and the jacket/vest collar. When I get warm, I can just pull it over my head and tuck it in my pocket.
I've tried this with fleece headbands in a pinch - works good, but the knitted one is better.
This is what the one she made me looks like:
There are a different type on this page, but they're waaay beyond my knitting skill set:http://adworks.pk/fashion/latest-knit-neck-warmer-winter-collection.php
(Someone blogged how to make these here: http://www.instructables.com/id/How-to-Make-a-Neck-Warmer-with-Buttons
For those of you who knit, there are some free patterns here:http://www.knittinghelp.com/free-patterns/categories/cowls-neck-warmer
Side note: when I have a student who can't remember to look up, not at the ice, wrapping a scarf around their necks helps as a reminder.