Question

Some say: "You must 'hand-solve' the problems."
Others say: "Use technology to solve the problems."

What should I exactly do for solving Math questions?

Answer 1

How about learning to solve a problem by hand, and then starting to use technology?

Answer 2

just do what you like because you have liberty !
tech is not a bad thing to use :)

Answer 3

I think that the way I mentioned will be a fair win for all, no?

Answer 4

that's pretty cool :P

Answer 5

I sometimes feel the guilt when I use Mathematica... but why deny technology when it exists?

Answer 6

Using MATLAB or Mathematica is beneficial since they increase your programming and thinking skills. Why perform what you know again and again?

Answer 7

yes we develop these algorithms and software for you people to use then you should do that..

Answer 8

There's a certain point where doing things by hand just needlessly takes time. For example, would you add 122+2341+32+948+320845+9823-3489+892+23497 by hand? You could, but it would take a lot of time, you've already learned how to do it, and you have the resources to do it faster.

Answer 9

you must use hand techniques as far as possible...software is made for a lengthy and longer calculation....

Answer 10

technology will make you dependent on it....it's good to use that in certain cases but try no to be dependent on it

Answer 11

On the other hand, would you use mathematica to do 3+5+2? This is so simple (to most people) that they can look at it, and within a second give the correct solution. Using mathematica would needlessly add time in this case.

Answer 12

OK, now what if I learn how to find the derivative of a polynomial, and then I use technology to make it even more faster? Is it good to first learn, and then rely on technology for problems such as \({d \over dx} x^2 + 2x + 9\)?

Answer 13

I can perform it right now, but it becomes really irritating when you perform simple problems.

Answer 14

\(2x + 2 \) is the answer by the way.

Answer 15

Problems like that fall into the "fastest in my head" for me right now. If you find you can do it this way, with few errors, I would say go by hand. If you are still having lots of errors, do it by hand. If you can do it without errors, but it still takes a chunk of time, I would suggest starting to use technology.

Answer 16

Most people hate to do the following integral by hand
\[
\int \sec^3(x) dx
\]
I will say do it by a machine.

Answer 17

@eliassaab sir don't you think dependency on machine....somewhere fixes the range of our skills......i agree that the problem you've given above should be done by machine to save time...

Answer 18

No. I think rote computation that is data processing should be done by a machine.
The job of the human is to translate a problem and feed it to a machine to do the heavy computation.
You can go from California to NY on a horse or on a plane. I will take the plane.

Answer 19

that's my concern....translation of problem...do you agree with that?

Answer 20

If you do not know how to translate a problem to give to a machine, assuming you know the code, then you most likely cannot solve it by hand either.

Answer 21

hmm...okay...well it's obvious if one knows the translation....then only he can make codes of it...or write algorithm ...thank you sir