Dreaming that you have a limb amputated represents the inability to perform some of the activities that you usually perform with it. Behind this situation, there is a fear you should try to overcome.
In most kids, lack of sleep can surely result to ADHD (Attention Deficit Hyperactivity Disorder), which is the opposite with the adults. Children between 7 and 10 who gets less than 8-hours of sleep every night will likely to become inattentive, impulsive and hyperactive. Their sleeping patterns can easily affect their brain.
Some people can recognize dreams while sleeping; this type of dream is called lucid dreaming. Most of the people would have experienced this type of dream atleast once in their life. You can actually control these dreams. One of the popular dreams that most of us experience is as flying in the sky; you can try lucid dream by imagining your house beside the flying aid.