First, let's look at the individual definitions of the stretches. Static stretching, by definition from NASM, is the "process of passively taking a muscle to the point of tension and holding the stretch for a minimum of 30 seconds". This allows for better lengthening of the muscle and relaxation. Dynamic stretching, again by NASM definition, is the "active extension of a muscle, using force production and momentum, to move the joint through the full available range of motion. Static stretching usually addresses one muscle where as, dynamic can address multiple at the same time.
To give a good example: static stretching would be the traditional gastrocnemius or calf stretch.
It is apparent that more research in this area needs to be performed. The best course of action would be to meet with a personal trainer at least once to ensure that the static stretches and dynamic stretches you are performing are appropriate for your level and exercise routine. This assessment can help ensure that you are not lengthening improper muscles, which can lead to further injury and/or inhibiting your best performance during exercise.
What are your favorite stretches to do before a workout?