ok, you have a router, many (could even say "most consumer model") routers have DHCP as default, this sets the network up all by itself.
So the question is, have you tried to type a web adress in the first window that appears when starting knoppix?
that is a web browser and perhaps you are overcomplicating things.
have you typed
Code:
ifconfig
in a console window (icon of a computerscreen), that is equivalen to ipconfig /all in a win comandprompt, oh, ifconfig is NOT misspelled.

if you have, hmm, what do you do in windows? what does
Code:
ipconfig /all
say in windows?
if it is something like 10.0.0.XXX or 192.168.X.XXX we are a good part of the way (please put whole adress here, it is not acessible from internet).
some small things
have you tried to do netcardconfig in linux?