You can see the new feature on the right side of any user's Twitter profile. You can also see Connections features in the Followers and Following tabs in a user's profile.
Last year, Twitter showed off a You Both Follow section -- right around the time it also started playing with You Should Follow recommendations in the same column on the site -- but both features were destined for further tweaking.
Connections gives users a slightly broader set of information than just mutual followed users.
An e-mail from a Twitter rep said, "We launched this to make it easy for you to see the connections that you have in common with other users. Basically, we're focused on the mainstream market around the world. We want to make the Twitter experience easy and enjoyable."
Connections is just one way that Twitter is attempting to make its product better for new users and non-technophiles. "By exposing accounts that you and another user have in common, " said our source, "you will now know how those accounts are connected to other accounts you already follow. As a result, you'll be able to make more informed decisions about which accounts to follow."
What do you think of the Connections sections so far? Let us know in the comments.