Split or switch ssh pseudoconsole

[John Almberg]

I log into my remote server using ssh. As I understand it, this gets  
me into a pseudo terminal. Is there any I can easily switch to  
another pseudo terminal, in the same way you can switch to another  
virtual terminal if you are logged into a local machine?

Even better, is there a way to split a ssh console so you can see  
both and switch between pseudo terminals with a couple of keystrokes?  
(Kinda like vi split screen?)

-- John