Today is the Full Beaver Moon, so named because this was the moon that the Native Americans in the northern part of the country used to tell them when it was time to place the last beaver traps before the swamps froze for the winter. Another traditional Native American name for this moon is the Full Frost Moon, obviously named for the thin coating of frost seen on most mornings at this time of year. More specifically from a tribal perspective, the Choctaw referred to this moon as the Sassafras Moon, the Cherokee called it the Trading Moon and the Dakota Sioux called this (and this is by far the most descriptive name) the Moon When Horns are Broken Off. The English Medieval and Celtic names for this moon are the Snow Moon and Dark Moon, respectively. The Chinese referred to it as the White Moon. And lastly the neo-pagans call this the Tree Moon.
Personally, I think it should be called the Moon With More Names Than Any Other Moon of the Year.