I am looking for some advice in how to best help my very, very mathy child.
Background: She's 8. In her April Peabody, she scored as a 50th percentile 9th grader, 4th month, in math. (That's how they score you -- which grade/month your child would be 50th % -- the tester said she only started to miss questions when it was clear she had never even seen it before, like exponents. Technically, she hadn't "seen" algebra before either except for reading the Basher book about it, but was apparently able to reason out how to do the single variable stuff on the test.) As of yet, we haven't come across a concept that she hasn't immediately "picked up." The only troubles we have ever had were, for instance, when we were doing multi-digit addition and subtraction -- not because she didn't "get" it, but she was frustrated with having to line up the numbers, etc. (Her handwriting is weak.)
Currently, we are finishing up Singapore 2, we are also halfway through MathUSee Gamma (mastery of single and multi-digit multiplication -- though we're flying through it as fast as she can get her facts memorized), and do daily work in Math Whizz and Dreambox. She reads Life of Fred for fun (and a whole stack of other math books floating around). She's working through Art of Problem Solving's Beast Academy 3A and all of the Critical Thinking Company Math/Logic books. I got her the Hands On Equations iPad game a few days ago and she immediately chewed through it and now is all, "Hey, mom, look at me solve 4x + 5 = 2x + 13; can you find me more algebra stuff?"
So. I'm not 100% sure how I should be handling this. On the one hand, I don't want to hold her back or have her bored, on the other, I want to make sure she's solid on, and doesn't miss any, fundamentals. Right now it feels like I'm throwing stuff at an insatiable math monster and I'm not sure how best to teach this girl. (Ha! Like *I've* actually taught her any math.)
My current strategy is to plod along with our "regular" daily curricula (Singapore and MUS), to ensure proper drill and mastery of her foundational skills-- though I'm trying to stay sensitive to the fine line between useful practice and mindless busywork. (I do let her "test out" of some sections.) And then, after that is done for the day, she can go crazy with whatever else she wants, like the resources I mentioned above. Then I was also looking at the physical Hands-On Equations set if she really wants to do some early algebra. (Challenge math? EPGY? Math contests?) I got her a Khan Academy account and occasionally look in to see that's toodling around with absolute value and symmetry and ray lines or whatever else she stumbled upon.
Any thoughts or recommendations?