What is considered to be early math for a 3-yr-old??

From what I have read, I've learned that early math is a sign of high intelligence. DD3 (actually turns 3 in Jan) has been showing signs of what DH and I consider to be early math, but sometimes I feel like we might be over-analyzing DD (yes, sometimes we're still in GT denial, but then again we're so new to this thing).

Here is some of what she does:

1. Has commented on the number of cars in that will be left in the garage if daddy goes to work. For instance, we have two cars and DH will tell DD he's going to work. DD will say, "Daddy's going to work. There's one car left." She started doing this around 2 1/2 years.

2. Adds and subtracts simple math like 1+2, 1+3, 4-1, 3-1, etc. Sometimes she does it in her head, other times we use visual aids like the pieces of a play-doh pizza or raisins.

3. Understands the concept of zero.

4. Completes simple tangrams on her own. (I'm not sure if that's considered math, but it's geometry so I'm assuming it qualifies.)

So I guess we're wondering if this is just your run-of-the-mill GT math for a 3-yr-old?

I read all these posts out there on this forum about these amazing kids everyone has. It seems like all these kids are so incredibly smart that they came out of the womb reciting the encyclopedia and solving theories of quantum mechanics. smile This makes my GT denial set in -- Is my DD really GT or just "kinda bright"? Because compared to some of the kids you guys out there have, I can't imagine having a child that smart! smile But then again, maybe I do!

Any thoughts you have about what's considered to be early math for a 3-yr-old would be nice.

Thanks