I guess I just mean more of an understanding of the why behind the concepts and not just the how-not relying simply on algorithms (although, maybe TT goes beyond just algorithms, so we're probably good?).
I want my daughter to have some out-of-the-box thinking, some mental stretching with math concepts so that she can think on her own outside of a set formula. I hope that makes sense. I just fear that TT is too comfy for her, it's quick and easy and doesn't seem to make her jog her brain much. Although, I am sure this is partly due to placement-I need to get her up to TT 5. I've just been apprehensive about moving forward with TT, but maybe I'm making a mountain out of a mole hill ; ) I'm now thinking placement might be the issue for her. And maybe just adding some sort of quick, critical thinking book to exercise her brain a bit will be good.
Like you, I have no desire for an Asian type math program, I know it isn't a fit for either of us. My daughter also does well with things broken down in baby steps.
You've been a great help. Thank you.