We had our first snow coat this week. (It’s unusual to go so late in the fall without snow). Last night as I was putting my daughters to bed, my oldest asked why it was so bright outside. My short answer was that snow reflects street lights and moonlight. This is a small part of the reason why the moon looks bright in winter.
Explains why the full moon is better in winter, and how the combination of the position of the moon with that of the earth and the snow on the earth makes the moon brighter in winter than in summer. Take a look at the embedded video below.