Sorry, I'm not familiar with the Davis Programme. We homeschool because my son is reading at grade level but is ahead in everything else and we are using All About Spelling, an Orton-Gillingham influenced program. We are also using Headsprout Early Reading for reading & phonics and will consider continuing with Headsprout Reading Comprehension. Both programs would be suitable for afterschooling. I think the best I've seen for home is Barton but it didn't work out for us.

We use Rightstart math but I'm considering switching to EPGY. I'm not sure if he's having trouble with math facts or not since we just started in August, but he does still count (as do I).