What is the difference between a full moon and a new moon?

The new moon is the beginning of the moons cycle and the full moon is were the moon is fully in view and in the middle of the moons cycle the brightness is were the moon is reflecting the sun's light. Also the full moon is the 15th of the luner month (or cycle) and we're the moon is at it's brightest while the new moon is the first of the luner cycle and barely visible