LEGO Mindstorms NXT projects
I think your "obvious" answer is right.  Given that you have a background in computer science and math, I'm certain you will be pleasantly surprised how fast you can go beyond connecting dots and come up with unique and innovative designs.  I admit being in the same position, but with an EV3.  It sat for almost six months before I really started working with it.  Based on my experience, I encourage you to commit to doing a few small projects to understand the potential.  Start small for some immediate gratification.  Log some experience, and you will start seeing ways to hack this little device.  This is a necessary step to doing something cool and innovative.  You gotta commit to building!