Before you downvote this question, I actually want an answer to this. Is the calculator going to give me my derivative? No. Is it going to give me my integral? No. It can sure give me the answer to my integral, but will it give me the calculations? and steps? No.
In linear algebra, will the calculator give me the matrix reduced form? No. Will it give me the answer to a set of equations? Maybe, but without work obviously.
Teachers mark the "work", and award part marks for each correct piece of work you show. That work cannot be done by a calculator.
Something that frustrates me is that I am in post-secondary, and that my level of math right now is not basic. So, like many, I tend to forget the basics of math, like adding fractions, reducing fractions to lowest form fast, subtracting big numbers. Sure, I can do all those, but I would be more likely to make a mistake doing these and loose marks then if I were to just use a calculator.
Teachers want to make sure we "understand" the concept, but I ask, does "understanding the concept" really have to do with our ability to "add, multiply"? Are they testing whether we can do basic arithmetic that we have so long been used to performing with a calculator?
When your working with integration and derivatives, you will get ugly fractions, and adding them, finding denominators, is really a waste of time and effort for me, when the calculator can just do that for me. In the real world I will have a calculator, so why not here? As I said before, what are they testing? Are they testing how I can do basic math, or how I can compute the limit, evaluate the integral, calculate the deriviative?