I have recurring dreams about me pooping in public. In the dream, while I am embarrassed about pooping and worried that other people might see me and ridicule me, people around me go about their business as usual. I frequently get this dream. I must add that by nature, I am not the most outgoing person. So I wonder what this dream means.

That's a common dream.  If you haven't already, the meaning of the key symbols of your dream can be found on this website in the Dream Dictionary.  Here are links to them... Defecating: www.dreamdoctor.com/index.php?option=com...ils&id=598&Itemid=24 and Bathroom: www.dreamdoctor.com/index.php?option=com...ils&id=161&Itemid=24

Both should help you understand how the dream relates to your life and identify exactly what's causing that dream.  Keep in mind, your dreams are expressions of your feelings about your life at that time.  Once you know what's causing them, you can take steps to address the cause so you stop having them.  

Good luck!