I would certianly let him memorize addition, subtraction, and times tables. If a gradeskip is a possiblity, then those skill are going to impress the teachers more than 5 hours of discussion about the concept of Infinity.
I would also check out
www.hoagiesgifted.org/online_courses.pptThere may be local chess clubs, perhaps if not then try and start one at your local library. Book clubs are good too.
One advantage of Texas public schools is they have a very clear path to gradeskips, so you might want to explore that, if the private school doesn't bend enough.
Have you gone through the motions of having a PsychoEducational Evaluation? (IQ and achievement testing) as this may (or may not) help you and the schools decide about gradeskips. That seems like a logical next step.
Love and More Love,
Grinity
