We have! My son started kindy last monday. They call it Kindergarten Academy. Its a new optional program they are doing this year. Its to give the kids who need it a head start to the year. (my son went to a waldorf/montessori inspired private school last year, so I thought he'd be pretty behind for PS 1, so he's in kindy)
Its only mornings, then in 2 weeks, he'll go full days when the rest of the kindys and elem. school start.
We just finished our first week of doing homework ever. Some of it was a bit difficult for him in terms of sitting still and focusing, and other stuff he said was "baby stuff". He brings home a new book each day that I read to him for homework, too. So far, he seems to like public school though, so I'm glad.
This week I think we find out who his teacher will be for the full school year.