Don’t confuse “pings” and trackbacks, they are separate and different animals.
A pingback is created (if turned on) if you place a link to an outside source that supports pingbacks. WP and Expressioneengine are two blogging programs that support it. Again if turned on this is automatic. The downside is it may slow your posting drmaticly. Best bet is to leave it off and only allow it on entries you desire it not on every post.
Trackbacks are used to place a link on someone else’s blog. It is a way to let that other blogger know you have a related article on your blog.
A note on blogging courtesy. When you trackback someone also place a link in your post to the permalink of their entry in the text of your post.
On another note: In looking at your site you have removed the trackback URL from each entry. Unless you display the URL or a link to it you will never receive any trackbacks.