I came to the US on H4. I started a Master's Degree. I am now working on EAD and continuing in my Master's Degree. It was no problem and on H4, I didn't have to provide alot of documents about finances like you would with a student visa. I also received in state tuition after living in NC for one year. We own a house and I showed them that our Green Card application was in process. Resident status is different for school than INS. The only problem was medical, as I could not get pediatrician records and have had to get extra shots (covereed by insurance). Interestingly, I have needed more shots to attend school than to become a permanent resident. go figure.