Do not rub the spot but hold your hand over it and try to exhale warm air to circulate over the spot. Once the spot's gone you can go back out again. Take them seriously. The key to comfort on the mountain is dressing for it. Let's face it, if people can explore and live in the Arctic Circle, we can handle the Poconos.
Terry suggests avoiding cotton and wearing polypropylene-insulated long underwear.
Top that with fleece and a lined shell jacket. Insulated ski pants are a must in this kind of weather. Since most of the body heat is lost through the head, you'll need a good hat that covers the ears. A hood is a plus. Mittens are preferable to gloves, but they should be well insulated and waterproof.