Calculators Are Great
I like calculators. I am sure that would NOT have gotten through my college education without having a calculator handy. Most graphing calculators today can also solve problems for you and there are plenty of computer math systems that will solve very complex differential and partial differential equations for you.
That said, there is a disadvantage to using a calculator to doing all of your work. I had a math professor at Brigham Young University-Idaho who had a phrase, "Garbage in, garbage out," when referring to just putting something into a calculator just to get the answer. You don't know if you put it in right, or if the answer that you are getting out the other end is actually correct. Despite popular belief, calculators and computers can make mistakes.
What Do We Do?
There is a way around this, learn how to solve the problem by hand first. You can use the calculator if you need a definite number for the answer, but when you are getting and equation down to it's simplest form, learn how to do it by hand, and then you can use the calculators and computers all you want. In fact, after you know how to solve the problem first, you will be able to identify when the answer you are getting out of the program is right or just off.
Conclusion
Use the calculator, but understand what you are doing first, so you and the calculator understand each other.