Originally Posted by dictionary.com
1. pertaining to or using a rule or procedure that can be applied repeatedly.
Basically, if you do something recursively (like delete files), it will do it in the top directory, and all subdirectories; it repeats the procedure. So, rm -r /home/AndeAnderson would delete all your home directory's folders (as well as the AndeAnderson folder itself). If you're sure there's nothing in that directory you want, you can select recursively.