Some time back I heard about an app that would let you trick apps into working full screen on large Android tablets. It's called Spare Parts, and what it does is give you access to some of the concealed settings menu options.
Update: This post is slightly out of date. Most large tablets now ship with this problem already fixed. But I'm leaving this post up just in case someone needs it.
I didn't have a copy of the app at the time, but now I do. You can download it at Freeware Lovers. This version is ad supported but the ads aren't obnoxious. The download and install process is simple and straightforward. I had no trouble with it.
Let me explain how to use it. You see, Android OS has this little quirk called "compatibility mode". Do you know how you sometimes have an app running in a little window and not using all the screen real estate? That is compatibility mode.
Open Spare Parts and look for the setting option for compatibility mode. Uncheck the box. Yes, I want you to turn it off. Reboot your tablet. Your apps should now show up as full screen.
I've tried it with a half dozen apps, and they all seem to work without a hitch. But your results may vary.