You didn't say what chipset your card uses.
You can find out by running
lspci
from a terminal.
I believe your notebook comes with a broadcom wireless
card.There are no native drivers for broadcom,but it is
supported by ndiswrapper.This is a wrapper that uses your
windows driver to run the card.It's included on knoppix.

http://ndiswrapper.sourceforge.net/

Look for your chipset on the wiki link.
Read the installation link.
Copy your windows drivers somewhere knoppix
can access them.
Search this group for ndiswrapper.
Configuring these cards has been discussed here recently.

Basically,from a prompt

sudo su
ndiswrapper -i /path/to/your/bc*.inf
modprobe ndiswrapper
wlcardconfig
netcardconfig

If you have problems,post the output of lspci and any error
messages.

Have Fun