Windows 2003Using the /console connected you to 'session 0' i.e. the console session. If running Terminal Services you could have ended up with multiple sessions under the same username.
If using RDC client (Mstsc.exe) 6.1, /admin is used rather than /console
Windows 2008Use the /admin switch only if you have Terminal Services installed to ensure you get the administration session.
Below, connecting to my windows 2003 backup machine using the /admin switch -
Support : Changes to Remote Administration in Windows 2008