What is the difference between a full moon and a new moon in terms of their appearance and position in the lunar cycle?

Well, darling, a full moon is when the Earth is between the sun and the moon, so we see the fully illuminated side of the moon glowing in the night sky like a big disco ball ready to party. On the other hand, a new moon is when the moon is between the Earth and the sun, so it's shy and hiding in the shadows, like Cinderella before the ball. It's all a cosmic dance of light and shadows up there in the sky, sugar.