Calling all green thumbs!

My grandmother is an amazing gardener.  Even living in El Paso, Texas that woman can take a seed, put it in the ground, water it and get a beautiful plant.  Do you know what I get when I put a seed in some dirt and water it?  A muddy seed. Sometimes I think it might be a rock. Way back in February I bought ginger root for a cooking adventure.  The recipe called for, I think, a tablespoon of grated ginger root but that gnarled sucker could have probably given me about 4 cups.  So, I plunked it into a pot recently vacated by what might have once been aloe vera. Imagine my surprise when I ended up with this:

That sucker is now almost two feet tall. So now what do I do with it? Can it stay in the pot?  Do I put it in something bigger? Amy? Emily?  Anybody who can get horticultural results other than a muddy rock want to weigh in here?