Prevention is self-explanitory, in that the idea is to prevent undesirable things from happening. Reslience on the other hand is the ability to "bounce back" from an event as the reading "Elements of Resilence" puts it. Though prevention is ideal there are cases when preventing certain events are impossible, so it is vital to enforce this idea of resilience. Those who are resilient will exhibit three properties of resilience. They will be able to withstand shock without loosing basic functions, adapt to changing circumstances, and transform to a different way of life when the current one is no longer feasable (video: What is Resilence).
An example of this would be in a child that I work with at the preschool, this little boy has random and uncontrolable tantrums. The only way to for the entire class (as well as athe staff) to minimize the effects as much as possible is to hold him and talk to him, even if he isn't quite yet ready to listen. It is important in this case to enforce one of the Environmental Protective Factor, caring and support. We always remind him as we are speaking with him that we are there for him, and that we care about the choices that he makes, and that it hurts us to see him make poor choices in hurting his friends and teachers.
Another more example would be with the children that my parents have adopted, all of which have come from very difficult pasts ranging from abuse to coming out of the mafia. In each case however my parents have instilled resilience in them. They look, act, and function like very normal people and you would never be able to tell that they came from troubled homes. They were able to do this through resilience which happened through the six environmental protective factors which all are based off of care and support.