Quote:
Originally Posted by
whatsnextmom 
I suspect he's been exposed to more multiplication and division than you'd imagine and gifted kids can be good at growing those little nuggets of exposure on their own.
I bet your DS got a lesson on skip counting or the first grade teacher made a comment about how if you add three 2's together, you get six. Gifted kids can take little bits of info like that and run. I say this as a way to reassure you that he's always going to continue to grow whether you feel capable of teaching him or not.
Here is a great website for all things gifted. Certainly a good place to start with your exploration.
http://www.hoagiesgifted.org/
Ditto all the above.
My 5 yr old DDs know that 3 sets of 3 is 9 just from baking with me and setting up cookies on a sheet. They know that 12 can be divided into 4 equal parts of 3 each. Why? From sharing things at dinner or sorting small trinkets.Both of them have taken this idea and applied it to other things fairly quickly.
Then they ran with it....usually they phrase I have two sets of 4...how many do I have? To each other, but it is multiplication!
Could they answer 4x4=? Probably not. But with just minor explanation, they could since the concept is there.
Having a background in assessment. Often math assessment (like KeyMath) does pictorial for pre-algebraic skills or early multiplication/division with visuals (say there is a pic of 6 cookies and the question is 'you have 3 friends. The cookies get shared equally, how many does each person get?). Then moves on to a 7x9= x sort of thing.
That said : Most 8 yr olds here are in 3rd grade.Basic principles of all math concepts are introduced in 2nd grade. 3rd grade it is mastery level for multiplication/division facts. So your son would be way ahead for 2nd grade( more than one grade level ahead) and moderately ahead for 3rd (end of year mastery skill)
Does he have the multiply/divide book? Hersheys makes a fun one about a chocolate bar. Also there is a series called 'Sir Cumference and the Math mysteries" that is geared toward 6-9 yr olds that maybe he has read and taken off with the idea or maybe he would like to read them to expand his knowledge.
I agree: Hoagies and the Davison sites are great resources.
Also look at the school curriculum. Some programs (and teachers) allow for more expansion on knowledge and/or taking a skill and running with it vs the traditional skill & drill .
I would see if your school has a Chess team or music program. Many people that are mathmatically minded do well with music and/or logical problem solving activities like chess. Our school starts Chess team in grade 1 for after school.