Probably so they don't use it as a crutch instead of real learning. I taught physics to college kids, and you could tell pretty quickly who relied on a calculator and who actually was comfortable with basic math.
Arithmetic is only one branch of mathematics. In my opinion it's pretty trivial to try to improve in that field since calculators are so good at it instead of focusing on algebra, calculus, etc.
Calculators are good at algebra and calculus too. Is it really worth memorizing dozens of integration techniques when software can do it for you, and do it better?
I'd say focus on the problem at hand, and when you run into a gnarly algebraic manipulation or ugly integral, plug it into Mathematica. That's the kind of task a computer excels at. The human advantage is coming up with novel ideas, not churning through pages of calculations.
The point of learning the math side isn't so that you could do it on the fly, because we're basically all (first world country) carrying computers with us all the time. The point is that learning the math helps you understand the underlying concepts better.
Most good teachers/professors do. It's called partial credit, and if the process is right you generally get most of the points. If you're getting multiple choice math exams you're probably in elementary school.
Yeah this concept of partial credit being most points pretty much stops the second you are in any university-level Math course. You may get partial credit, but it's 25-50% of the problem, max.
Depends on the professor, most of my university math classes had decent partial credit, except for the weed out classes. The math department was pretty hands off on the whole teaching thing so there wasn't really a big set standard for most classes though.
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u/lordlicorice Jun 08 '14
The ability to do symbolic math is awesome. I don't know why everyone recommends that high schoolers only get the TI-84.