Here's a link to a map that I've used.
http://lifesg.files.wordpress.com/20...subway-map.gif
Each station has an alpha-numeric ID. Here's how I use it. If you're going from Shinjuku to Asakusa, take the Shinjuku line to Higashi Nihonbashi (ID S09) then take the Asakusa line to Asakusa (ID A18).
I've found it much easier to study the map and write down the ID numbers than to remember the station names.
When you're in Higashi Nihonbashi, there will probably be a "pinkish" colored line painted on the wall. If there is, that colored line will very likely lead your from the Shinjuku line to the platform for the Asakusa line.