A beardie sheds its skin regularly. In order for this to happen, he requires the correct conditions. In captivity these conditions are aided by a basking lamp and warm environment. Together with exfoliation would be the sun lamp. As I mentioned, dragons love to bask in the sun. To create this environment, we give them a basking lamp under which they sit for hours. (Don’t forget natural sun is very important for him - being a desert creature, he needs large amounts of Vitamin D). The skin comes off in large patches. Don't help them to pull it off--you can damage the new skin underneath. Letting them soak in shallow warm (98 deg) water or misting them helps shedding.

Going into shed is not a real fun thing for beardies. Most get rather cranky during this time, with some becoming hissy or snappy, objecting to being held or touched. The best thing to do is to respect their ill-feeling as much as possible. Some beardies will greatly reduce their food intake during a shed, others stop eating altogether until after they have shed. Offer a nice warm bath to help keep the skin moist and offer fluids for beardies that are off food.

A problem shed is a shed that isn't happening like a normal, healthy shed should. Adult beardies normally shed in pieces, a problem shed would be where it is taking too long, or where skin is retained in problem areas, such as around toes, spikes, and tails. A problem shed is a sign of an even greater, underlying problem. When a problem shed occurs, or one that is too slow to start or finish, you need to figure out why it is happening and correct the problem.
First, analyze the environment, diet, etc. Are their any signs of pain and discomfort?
Correct the problem (adjust heat, lighting, photoperiods, diet, etc.).
If the beardie has started shedding, but not properly completed a shed, you can help it along. Soak them in a tub of warm water (95-99 degrees F) for 10-15 minutes, then begin gently rubbing their skin. Make sure the skin is removed from their toes, spikes, and tails.
If there is still retained shed in these problem areas, wrap the wet beardie in a warm damp towel, then wrap that in a dry towel. Sit down with it for 5 minutes or so, then expose a small area of the crest, or a foot, and begin to gently work at the retained skin.
If there are several layers or one very resistant layer, rub some mineral oil into the area while the beardie is still wet from the bath. This will help lock the moisture from the bath into that area. Do this for a couple of days (bath followed by the mineral oil worked into the skin); this should get enough water wicked up between the layers of skin to make them very easy to remove.

You might wonder as to where all the shedded skin has gone. Some beardies will occasionally eat some of their shed. This is not a problem as long as the beardie is maintained in a clean environment.