Instead of trying to force introverts to be more like extroverts, encourage them to share their skills/talents in a positive way. This is where you will see us shine and you might even forget that we are introverts.
Throwing us into a party with 100 strangers and expecting us to thrive, is not gonna do it. Asking us to teach a large group of strangers something valuable or lead a project that we know a lot about will energize us like nothing else. This is how we connect with people and how we make our mark in society.
A lot of introverts are quiet leaders and have a way of making a huge impact in ways that extroverts just don't understand. Don't get me wrong, I love the extroverts in my life, but I don't want to be like them :)