BicycleTree said:
Well, you know, personally I think that the basics of math are important to get down 100%. I think a big problem with some students is that they "decide" they can't do math, which means they won't try. My sister was like that, she'd quit before even making a good attempt at a problem. If you stick with it until you master the material it's good.
Oh, I don't think we disagree there. Concept-wise, yes, you really need to master the basics to move on, but she's talking about redoing a homework assignment until all the answers are perfect. You know, like when you make a dumb mistake and multiply 3X3 and get 6

, well, she would make the kid do the whole assignment again if they did that.
But that's what I really think most of math phobia is, that the kids have decided they can't do it before they ever get into the classroom. I can see being persistent and not letting them get away with just not doing it, because of course that's what a lot of kids with math anxiety do, they just don't do the assignments. But I don't think sitting them down with a sheet of problems that makes their mind go blank and gets them sweating and making them sit there until it's done is going to help; I think it would just make them get more anxious. Anyway, she's not a rational person anyway. She usually presents an argument that is internally inconsistent (she almost always makes at least two points in her arguments that are necessarily mutually exclusive; like we should have the government give all kids school vouchers
and privatize all schools to get the government out of the education business). Meh, I don't really want to discuss her here, it was just where I went for a while and got distracted too long by her lack of logic.
On the other hand, sometimes you don't learn something fully until you use it in other ways. So there is an argument for moving on, with the new material as motivation for mastering the old material. But if there is actual frustration and anxiety on the current material then that's not likely to happen; the student should stick with it until the anxiety goes away. If the student is capable of learning the material, that will happen eventually.
I tend to think most math anxiety is just a learned behavior from parents or other students or teachers even. But, as I did some googling on it, it sounds like math teachers are finally catching on that they need to do something different in the classroom to address this problem, something that will give these kids some confidence. And, imagine this, they're suggesting they stop teaching kids by rote memorization and start explaining the concepts! I can't believe that's a novel idea!