Neato:
First of all I would step away from the internet and from this board for 48 hours
It has helped me gain the perspective as to what the "really" important things are. I am not preaching here, this comes from experience.
I agree with others saying that Calculus Trap applies more to middle/high school kids but our story put Ghost in calculus trap in 5th grade!
From what I gather, your DD is 8 years old and in 4th grade, never grade skipped, correct?
Our story, and I think I have posted it here but am unable to find it now, began in 5th grade when Ghost changed schools from private to charter and was immediately placed in Algebra 1. We were extatic, but stupid. We have never done any extra work in math with him up to this point, unless you are counting math problems I was doing with him in my native language which were purely to keep him fluent. But even what I was working on with him was "on a grade level", just the language was different.
So he was in 5th grade and doing Algebra and really struggling with it. Not struggling in a sense of understanding concepts, but he was a guy who has hardly done any work on fractions and negative numbers. He has jumped straight from regular 4th grade math curriculum to this class full of 8th graders. And he was the best of them all, had highest grade (A+), did all his homework - but at what cost. Sometimes he went to bed at 11 P.M.
I wanted to talk to the teacher that the homework was too much but my DH was adamantly against it - you learn math by doing difficult problems, he would say.
Things got easier by winter, Ghost got a hang of it all and started cruising. We have only realized that he needed additional challenges and additional instructions by the time he was in 6th grade. We have realized that school was was only breezing the subject and for a guy who really has a potential in math he needed to work much, much, much more deeper.
In 6th grade he waqs doing Geometry but also had to do regular 6th grade stuff. He absolutely hated it, it was so repetitive, so not intelligent, pure busy work. We told him he had to stick with it (learning for the future I guess, not all work is fun and you DO have to be responsible) and he resorted to doing 6th grade math homework, the busy work, in the hallway right before the class. Every single day. I repeat again - he hated it - but I don't think it did any damage. If anything, he has learned that not all that we do in life is fun and interesting.
By the time he was in 6th grade we started a math club at school as a vehicle for him to participate in math competitons.
He also started AoPS classes at that time and we started working on math at home - mostly competition math.
What I would do if I were you now? I would have my kid do Aleks and Singapore math at school, if possible, with my guidance. I have achieved that when my DD was in 4 th grade. I think that it is of paramount importance that kids use the school time to the fullest. I do not believe that it is fair to them to unschool them. I would involve my kid in math competitions. You are saying that your DD is not ready. Some of them are very, very friendly. Look at Math Kangaroo questions . I know, you have to pay for them now, but they are still quite cheap.
What is that pull out for math that you are doing? Please write more about it.
Do not rush with curriculum. Ghost is in pre-calc now - it is great, only two students plus the teacher, every day, can you imagine? But he is looking at writing his SAT II this year, and he doesn't even know what SAT II is! And there is going to be accomodation issues in HS, I am sure of that.
I do not know what book your child is using, but most of the math books in US (awful, awful texts really)have a section with challenge problems at the end of each lesson. Those are really challenging problems, requiring much more knowledge/thinking to solve. Look through her book for those.
Keep bugging the faculty. Look at the things I have manage to achieve - under Success Story.
Have your DD play math games. Make her become really comfortable with numbers. Krypto is great. Buy fraction ones if she has already mastered the one with double digits.
