ThereBeDragons wrote:The problem with interviews it that you can easily hide a lack of knowledge in your interview or take it where you want it to go. Ignoring the question and offering some sort of cheap partisan shot or repeating talking points instead of answering the question probably isn't going to fly. It won't be possible to write off mistakes as slips of the tongue or incorrect phrasing; mistakes, maybe, but the standard will be higher. It would also likely be more comprehensive.
This is an ironic response. In fact, it portrays exactly what you contend essay formats would not. Here you claim that writing would be clearer as opposed to repeating talking points and avoiding the question, but here you are repeating talking points and avoiding the question. I do not believe that I should address this any more. Someone fudging an essay is just the same as someone fudging an interview only that an interview can reach a wider audience in the modern era with technologies such as video recorders and professional transcribers. Your duty here is to explain why responding to a question in writing is somehow better than responding vocally. Writing is less accessible, more elitist, and the price can vary. If you were making the case that writing would be cheaper as not everyone can book with ABC or CBS then I could have sympathy to your proposal, but so far you have not taken that line of argument and therefore I can not claim that you are right on those grounds. Furthermore, will you give three examples of essay questions? I realized that I wrote essays in the past, but I probably never had an essay prompt that would speak to the validity of my presidential candidacy; they were more, how do you feel about this quote and book comparisons.
ThereBeDragons wrote:It's not technically necessary, but most of them already know multivariate calculus, linear algebra, differential equations, and at least one of them is taking a graduate-level math class in his first semester of undergraduate. You are actually right in that I'm going to have to revise that probability upwards, because I realize that there are actually not a small number of people who are that advanced, but seeming to insinuate that they're somehow secretly (or even conceivably) below-average at math is grossly incorrect. At the top levels, it's not about memorizing theorems so much as having the analytical skills to turn them into a proof, and the kids who study enough math to be able to do that both genuinely like math and are very good at it.
ThereBeDragons, I am actually writing from personal experience with the mathematics circles. I was never a mathlete, but given that I observed some for a summer's month, I can say that they typically are on an accelerated track of the mathematics offered in high school (Calculus B.C. and probably freshman college mathematics is achieved by the top performers) and have a course particuarly geared for the math exam that reviews past exams and strategies for mathematical puzzles. Given that I have completed the math courses for Astrophysics, I wrote that I am more knowledgeable in mathematics than these kids. I should correct myself and say that I am more knowledgeable in Astrophysical mathematics than these kids but that was just a sloppy mistake. I do not doubt that some of these kids have read ahead in mathematics, but I do doubt that, that is the average. Also, I doubt that they read that far. I really was just trying to portray an example of how one can study for a test and yet not really know a subject. When my class was taking the weekly (?) exams for qualifying American schools to the math olympics (or whatever it was) we were in Pre-Cal and mostly needed to know geometrical terms in order to do well on the exam; the kids in Brooklyn Tech and Stuyvesant were likely in the same course.**
**I realize that I do not actually know what grade the Math Olympics cater to. If I remember correctly, it is tiered. I may be referring to a math team, though.
It is not important.