I like lots of opinions. If I go with TT for my dd, I won't use the upper grades, from Pre-alg on. I plan on using video-text for them (my son and her).
I actually really like what I've been using their entire hsling life, which is Developmental Mathematics. It's very incremental and slow going with tons of practice (I don't have my son do all of it, just half a page). It makes you think a certain way, not just jump into the new concept, but it goes through a 4 step process, encourages deductive reasoning and independant learning. It doesn't have large amount of explanation. She's hitting a problem now, at level 5; learning the place value for numbers, thinking of numbers in these catagories for the purpose of future math. It works; my son is doing great. Lately, she's been getting many wrong and can't grasp these simple concepts, when to use adding or subtracting in word problems-she seems to pick numberes out from the sky instead of using the numbers provided on the page! I lose my temper and get very impatient with her. Many times she knows the anser in her head, she tells me, but for her to write out the Process of how she got there is what she has trouble with. I know it's part of her "issues" of sequencing and the processing disorder that she's had since probably her birth (we adopted her at age 3). She gets confused if she has to show or explain the "why" of things; that applies to many areas of her world.
I was hoping that TT, being simpler which it is (which is why my son won't need it), it would help her; also being mastery-based (which is what I want), it'd also be teaching her every step of the way, in auditory form (which is one of her strengths). I don't expect her going into higher level science (like physics), but I do want her to switch to videotext so she can handle the Apologia science.
I just want to make sure if I need to have extra helps for her for repetition. She already listens to music repetition cd's (she's very musical) and likes the wrap ups. It's just an order thing; her brain isn't ordely at all. Sometimes it's like you never went over something if it requires very systematic and has multiple steps. So I also want to know how the system handles wrong problems and needing review.
She doesn't like details, except when it comes to using her clay-she does incredibly detailed work with clay!