In fact, the December Full Moon has been referred to as the Oak Moon, the Frost Moon, the Cold Moon, and the Moon Before Yule. No matter what the name, the Full Moon in December is directly opposite the Sun; therefore it is out for a long time. Since the Moon appears to follow nearly the same path as the Sun in the sky, the amount of time the Moon spends above the horizon varies as it orbits the Earth. The Moon is Full when it is opposite the Sun in the sky, so a Full Moon rises roughly at sunset and sets at sunrise. Therefore, we only see Full Moons at night.
Six months from now, on the Summer Solstice, the longest day of the year when the Sun spends the most time above the horizon, the Full Moon spends the least amount of time above the horizon. On the other hand, on the Winter Solstice, the shortest day of the year when the Sun spends the least time above the horizon, the Full Moon spends the most amount of time above the horizon. The time spent above the horizon each night for the Full Moon varies throughout the year about as much as the length of the day.
Paul