Re: I am slow in math... how do I improve my speed?
- From: David Kastrup <dak@xxxxxxx>
- Date: Tue, 26 Jul 2005 03:00:02 +0200
"Jane" <lunaliu3@xxxxxxxxx> writes:
> I am not satisfied at my speed in computing and thinking math.
>
> My current status is above average.
>
> But in order to succeed in some exams and in future career, I want
> to be faster.
>
> For instance, we really need to practice and solve problems in order
> to learn math well. I have seen some students worked out all the
> problems from the textbook and still have energy and time to search
> for other resources/problems from Internet or other books to work
> out. (graduate class levels)... No need to mention that they are
> always star students and very genious in research and career also.
If you are good of thinking in the box, that does not mean that you
will be good at thinking out of the box.
It's a boring standard example, but Einstein was not too hot at math.
It took him an extraordinary amount of time (and external help) to
work out General Relativity. After some discussion with Hilbert, the
latter actually came up with an important derivation pretty fast, but
later retracted it in order not to alienate Einstein.
The point was that even while Einstein was slow with math, he knew
what to spend it on, and his problem defining skills saved him much
more unnecessary work than the state of his problem solving skills
could inflict.
> My slowness rooted in from the Calculus I, II, III. So I plan to
> review from Calculus I, II, III and do as many as possible advanced
> engineering problems at the level of math undergraduate and first
> year graduate level . This needs huge amount of time, but once this
> is accomplished, and once the tools are sharpened, there won't be
> any obstacle in my future research and career. I think I need focus
> myself for about 100 problems daily, but currently my time
> commitment can only allow me do 30 problems daily. That's bad. Again
> this is because slowness in speed. My mind really needs
> sharpened. Sometimes if I go fast, the correct ratio will go down.
I think you are focused too much on numbers.
> My final goal is to review all the undergraduate math and first a
> few years of graduate maths and finally have a unified knowledge of
> all these maths in my mind, since I am currently at the initial
> stage of my graduate school.
"Unified knowledge" does not magically drop out from rote learning.
--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
.
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