Hi Lynn,
Welcome to the board. Getting appropriate challenges for gifted kids can be a challenge, as you're learning.
My suggestion is to try to work with the school to find more challenging work for your kids. Afterschooling works to a point, but it can be draining when it starts to become formalized. I went through this with my older kids (8 and 6) for a while. It's hard for them to go to school all day and then work more at home, even if it's only a couple days per week. I found that 2 hrs/week/kid was our limit, and that I couldn't manage meaningful instruction in more than one subject in that time.
And then there's the fact that even if a child can work at his own pace at home, he'll still be underchallenged in school. Kids spend a lot of time in school, and they need appropriate work there.
So (and without good knowledge of your situation), here are a few suggestions.
1. Could your son do 4K in the morning and 5K (or grade 1) in the afternoon? He may be a little tired at first, but will probably get used to it quickly. Use the phrase "trial basis" if the school gets worried.
2. You could ask them to test your child(ren). Teachers are most likely to believe the results of their own tests --- they provide empirical evidence of skills.
3. Put everything in writing. Spoken words are subject to misinterpretation.
4. Give that nothing has happened yet, it's possible that nothing will change if you don't bring up the subject.
One thing I've noticed is that teachers can be very concerned about "gaps in learning," and they want to ensure that all gaps are filled before moving forward. I think this is a factor making them hesitant to accelerate kids (others: please comment!).
My belief is that gifted kids don't necessarily suffer from the gaps in the same way that other kids would. For these kids, filling some gaps is less important than filling others (sometimes the existence of a gap can actually provide a good challenge).
Simply stated, some kids can just
skip stuff because they pick up the knowledge by osmosis. Ex. my eldest skipped 3rd grade spelling because he can remember how to spell most words by virtue of having read them. I know he can do this, because I'm the same way and I see the quality in him. At the same time, he had to go through 3rd grade math --- he just did it faster and earlier than most others.
Having said all this, I'd still be afterschooling if my kids hadn't changed schools this year (I still do a little, but it's not formalized). It's better than letting them coast along!
Have you looked at the Hoagies' web site yet? It has a good essay on
least-worst options in education. Okay, this reply is really long. Hope it helps a bit.
Val