Complicated information for a complicated question
English sign and ASL sign is different-- English signs have more signs, ASL has fewer. Hope that helps.
For example, one might say, " I finished my homework", while in ASL it's signed as "homework finished".
True but I want to take this further.
1. American Sign Language = different grammatical structure and many different signs from (see 2.). I have an ASL book and there are "qualifiers" for some of the words (as in the word begins with the English letter for that word). BUT I've seen other ASL books where this is not the case.
2. Signing Exact English (SEE), which is tediously English accurate to signing articles (a, the, etc.) and adding beginnings and endings (ing, ed, etc.) as they exist in English and uses qualifiers.
-- SEE tends to use qualifiers for the words. So, future in SEE begins with
an "f" and in ASL it is just an open hand. Both movements are the
same. I'm sure there are many other examples that I've forgotten.
I began using the combo through semi-novices in the 1980s. One guy
was no novice. He worked at IBM and had gone through polio. He
wrote a book on Computer Signs.
3. Pigeon (and correct my spelling if I got that wrong) sign. This is what I've evolved to using. It is a combination of ASL (signs, not structure) and SEE ... sometimes I use a qualifier and sometimes I don't. It shortcuts the tedium of actual English structure.
My two classes in sign language in the last couple of years used both pigeon and ASL structure. We chose what we wanted to learn. We had a focus and were taught both.
Last thing to confuse the issue. When I married, a deaf teacher from the Freemont School for the Deaf in CA, taught me, "The Wedding Song," which I signed at my wedding in memory of a woman who got me into signing and it had nothing to do with my inability to hear well. The song was a lovely combo of ASL and pigeon. I didn't understand that then but it became obvious many years later.
Sorry, I grew up hearing. I am no expert. I am simply telling you what I've learned.
It is definitely confusing.