Overheard in the Math Office while another Professor was helping a student with Statistics:
Always use a calculator when doing decimal arithmetic because you'll eventually make a mistake if you do it all by hand.
My thought: You could just as easily make an input mistake on your calculator.
A quick Google Scholar search turned up a book of interest by W. Stephen Wilson and Daniel Q. Naiman entitled "K-12 Calculator Usage and College Grades." The abstract reads:
We find that students in the big mathematics service courses at the Johns Hopkins University who were encouraged to use calculators in K-12 have somewhat lower grades than those who weren't.
Other partially relevant studies have come up, with many of them stating how calculators can greatly enhance student understanding. I can't help but think about how an over reliance on calculators might affect student performance.
Does anybody know of any relevant research out there that might help to answer this question:
How does a reliance on calculators for basic arithmetic tasks affect student performance in a mathematics course with deeper mathematical ideas (e.g., Statistics)?