The Moon appears to go through phases. In other words, the amount of the Moon that we can see changes over time in a cyclic period that repeats itself approximately once a month. (The actual period of this cycle is approximately 29.5 Earth days.) The cause of these phases is the relative positions of the Sun, Earth, and Moon. As seen in the diagram, if the Sun is located off to the right of the picture, the Earth and Moon are illuminated as shown (the white areas being the lighted areas). Notice that no matter what phase the Moon is in, HALF of it is ALWAYS lit by the Sun. (Which half is always lit? The half that is facing the Sun.) The reason that we do not always see a Moon which is half lit is because of our position relative to the Moon and the Sun. As the Moon moves in its orbit, different portions of it appear (to us!) to be lit up as we look at it from Earth. This is why we see lunar phases.
For example, if the Moon is at position 1 in the diagram, the half of it that is lit by the sun is facing away from us, so we do not see the moon at all. This is called a new Moon. When the Moon is at position 3, we see half of the half of the Moon that is lit up. We call this a quarter Moon. The important point is that the moon doesn't change, nor does the amount of the Moon which is lit by the Sun. The only thing that changes is the position of the Moon relative to us and the Sun. This change in position causes the phases.
To see the current phase of the moon, click here
The diagram above shows what the different phases of the Moon would look like as seen from Earth (note that the numbers below each phase correspond to the different positions of the Moon as seen in the first diagram). It appears that the Moon repeats certain phases: there are two crescent, gibbous, and half phases each month (each cycle). These phases are not exactly identical, however. Look closely at the diagram. You will notice that during phases 1 through 5, the amount of lighted area increases over time from right to left. When this occurs, the Moon is said to be waxing. During phases 5 through 8, the amount of light area decreases (or the darkened area increases) from right to left. When this occurs, the Moon is said to be waning. Therefore you can tell if the Moon is waxing or waning based on whether the right side of the Moon is dark or light. (Of course, this only works in the Northern Hemisphere. In the Southern Hemisphere the effect is just the opposite!) Astronomers use this to distinguish between the repeated phases of the moon by referring to the waxing or waning crescent, gibbous, and half phases.