Network Connections keep popping up.

I got caught by this one -- my network connections kept popping up mysteriously all of a sudden. I had added a new computer to my network and thought I had reset some network connections. As it turned out, adding the computer caused the "Never dial a connection" radio button the the "Tools-Internet Options-Connections" tab to be reset. Changing the buton back from "dial whenever a network connection is not present" to "never dial a connection" solved this problem.