Cornflake wrote:
ruveyn wrote:
Arithmetic skill is not synonymous with mathematical skill. Math is more about inventing abstract concepts and proving theorems about them than it is "doing sums" i.e. mechanical arithmetic and even algebraic manipulations. The latter can be done by computer programs better than by humans.
Alas, all one grey area to me - it's difficult to grasp
any of it.
I am aware that mathematical skill is different to that required for basic arithmetic - "sums" was just a play on any ability with numbers, from the viewpoint of a "tolerable subhuman".
Arithmetic skill and theoretical ability are definitely very different. Last time I was tested I was <0.5% percentile on arithmetic skill, but the opposite end of the scale for theoretical. It's related to having dyscalculia (sort of numerical dyslexia), makes for an odd balance that hovers somewhere around adequate.
I would say to people who struggle with math, that being significantly better at higher, more abstract math is certainly possible. The further you get, the less the fact that you can barely add makes a difference.
If you are having trouble with multivar calculus or PDE's, I would definitely try to find people lecturing on the topic. Listening to someone who is are very comfortable with the topic describe how they interpret or visualize the process is allot better than any textbook. multivar calc in particular is very visual.