QUOTE(bgeh @ Mar 23 2011, 08:41 AM)
There's the Fields Medal, and what pretty much everyone agrees right now is the best theoretical physicist alive today has one, but not a Nobel Prize (but I digress, because Nobel Prizes do not imply usefulness):
http://en.wikipedia.org/wiki/Edward_Wittenzeeyang: Chase your dreams. You'd be much happier you did, even without a certain career pathway at the end of your degree. I'm not 100% certain whether I'm going on to do a PhD, but I know I've got a lot of job choices in the 'real world'.
Send me a PM if you've got other questions.
No one nor I, am implying that Mathematics by itself is totally useless. but to address the fact that Mathematic as a tool, is best utilized when working with another discipline. Nor am I gonna emphasis or do any research regarding what type of award mathmaticians can win, I am highlighting a social fact that there are fields where there's a high concentration of Mathematical element in it, but most of us did not realise its application, and how it relates to Math.
I believe the very big difference between a Math degree and a science,economics, finance, accounting degree is the distinction between theoretical and practical approach.
Speaking from experience,
I have seen how math students comment about the lack of Math in Accounting related subjects, which I highlighted to them "theories of Set, Sample Space,progressions" is basically what that works behind
the logic to do Consolidations, elimination and the nature of Dual Balance.
In terms of teaching as well,
within the actuarial framework, the approach of lecturers from Mathematical backgrounds, those with industrial-exposure and those who are statisticians, although all provide teachings regarding the same actuarial
mathematics, but their approach can greatly differ. Some may do more "proving" in class, some tells you to stick to the formula and learn elements of the formula how it relates to practicality, some always
adapt a root principal and build things up from there. Of course in particular, they are not ranked in anyway, but to understand there's pros and con's in each method.
Having privately consulted by few juniors re: AS itself, I am kinda worried the understanding of Math to youngsters nowadays (particular those that just completed SPM,STPM), it had became too arithmetic based.
Many times, one often self-induce that I am good in counting, good with numbers, fast with numbers, hence I am good in Math. My primary concern is students should diversify their understanding towards mathematics. And realise how Math is equally applied practically in a variety of studies. I am in no way trying to disprove the theoretical approach of Mathematics, I am just trying to remind future students do keep an open mind in choosing courses, there's a variety of courses that need people with good mathematical skills, at the same time, one have to be sure what he/she wants to achieve with a Math degree and whether this pathway can provide you your expectation, according to individual interest.
Nothing oversensitive, just for them to keep an open-mind.