<p>I teach this stuff. I say, without hesitation, get a graphing calculator. I use a TI-83+ because I’ve owned it (a few of them, actually, because my kids have needed them, too) since before there were TI-84s. The 84 is a little nicer, and if I were buying a new one today, I would pay more to get an 84, but, personally, I wouldn’t pay any more for more RAM. I have no idea what use I’d make of more RAM. But if money is tight, get a second-hand TI-83; it’s what I use to teach precalc and calculus.</p>
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<p>I have some sympathy for the thinking that I believe underlies these statements, but I don’t agree with the conclusions.</p>
<p>It is true that there are lots of students who try to get through calculus–especially integral calculus–relying on the ability of their calculators to take derivatives and to compute definite integrals, and these students are shooting themselves in their feet. If you can’t find the derivative of a function (at least, a reasonably simple and straightforward function) at a point, or find the area under a curve (at least, certain curves) with paper and pencil, then you can’t do calculus.</p>
<p>But any calculus class that’s taught well nowadays will assume that students have the technical tools that allow them to examine a function quickly and easily in three ways: analytically, which still requires paper and pencil, and graphically and numerically. The graphing and table features of a TI-80-something make it possible to do a graphical or numerical examination quickly and easily. Without that tool, you’ll spend hours doing what should take minutes.</p>
<p>Of course, the graphing calculator has limitations. Good teachers should help good students understand those limitations. Of course, lazy students can utilize the calculator to subvert a good teacher’s pedagogical intentions. When that happens, the blame should rest with the lazy students and not with the tool.</p>
<p>I would never teach Algebra I with a graphing calculator (well, I’ve done it, but I’d never do it by choice), but I’d never teach precalculus or calculus without one. And if you’re in my class where it’s assumed you have a graphing calculator, you’ll probably be significantly disadvantaged if you don’t have one. It makes me sad to read multiple students’ opinions that it’s not worth the money to have one. You can get one for less than $100 (if you buy used or shop aggressively during back-to-school season), and if these students are not getting 100 dollars’ worth of value out of their calculators, I wonder how good their teaching was.</p>