I spent a good deal of time practicing alone at one point (and I should probably be doing it again these days). I was doing Standard, and would have my teacher give me "homework" to practice. Sometimes it would be exercises, sometimes it would be to just practice a certain figure or few. I also made sure I could dance my routines by myself, full out, to music, for whole songs without stopping. Doing this taught me a LOT about my own balance, alignment, and knowledge of the material I was working on.
I felt goofy at first doing it, but after a while I got so used to it that I would sometimes even dance by myself at parties!
Be careful when going backward
