1) Junior- and senior-level education majors will try to register for it. Seriously. They're looking for an English course, any English course, to count toward the required language arts concentration, and either they do not know that "basic" is a euphemism for "remedial," or they're looking for the path of least resistance and don't care. (This is a problem, since the course doesn't actually count toward the concentration or toward the credit hours they need for graduation. You have to keep checking the class rolls and e-mail them when they pop up.)
2) The number of students enrolled can be anywhere from 4 (in the spring) to 40 (in the fall). I suspect that spring-semester and fall-semester classes require completely different strategies.
3) There are people -- native speakers of English -- who do not understand about parts of speech. As in, they'll write about "the advertise" or, conversely, "to advertisement a product." I don't know how to help this student. I don't know whether this phenomenon is a sign of a learning disability, but at any rate, it is far, far outside of the limited training in comp that I got as a grad student. (The official party line in my grad program was that native speakers almost never make grammatical errors, which is the sort of claim that makes me wonder whether any of the composition theorists have ever actually taught a class.)
4) My Basic students seem to be taking the class far more seriously than regular freshman comp students, and putting in more effort; they're needier, and they require more help, but they also do what they can to help themselves, including -- amazingly -- asking questions! (I suspect that insecurity and self-doubt are powerful motivators, provided they exist in just the right proportions and don't overwhelm the student's capacity for rational thought. Hell, that's what drove most of us through grad school, isn't it?)
5) A single bright, engaged student can set the tone for the entire class, particularly if it's an older, returning student who is a former addict and now wants to be a substance abuse counselor. I am in awe.