The Best Graphing Calculator on the Market?
aaronbeekay asks: "I'm a sophomore in high school taking an honors chem course. I'm being forced to buy something handheld for a calculator (I've been using Qalculate! and GraphMonkey on my Thinkpad until now). I see people all around me with TIs and think 'there could be something so much better'. The low-res, monochrome display just isn't appealing to me for $100-150, and I'd like for it to last through college. Is there something I can use close to the same price range with better screen, more usable, and more powerful? Which high-tech calculators do you guys use?"
It's 12 years old, it's a little slow and they don't make them anymore, but the HP 48 series is a magnificent calculator.
RPN is very nice for long equations. Once you get used to it, you'll be more accurate and efficient. You'll never want to go back to algebraic entry. It has a lot of features, and still stands up pretty well to modern offerings. Unless they've made calculus problems a lot harder, you won't need anything more functionality wise.
The built in equation library is very nice. There is a plethora of available programs to download. The IR sensor is just cool and the keys have the best tactile feel of any calculators ever, and the batteries last about 20 months. Oh, and you could probably dip it in motor oil, and it would still work. The screen while having good contrast, is very fragile however. That's one bad thing.
Expect to pay $250 on ebay for a 48GX unless you get lucky. (The 128K expandable model. Original MSRP was $159 I think) You can probably get a 48G (32KB non expandable model) in your price range though.
RPN is argueably faster, as you don't need to enter in parenthesis. But you end up having to press the enter key a lot, so the advantage quickly evaporates.
A friend of mine at MIT had an HP-48, and I had a TI-81, we used to do a lot of engineering problem sets together and would often race on entering calculations. Averaged over time the competition was a draw. Although the HP-48 definitely wins from a "cool" factor perspective (where cool=geek).
Speaking of the TI-81, I bought mine in 1991 for $82, and I'm still using it every day.
My friend's father's HP48 was in a briefcase which was left behind during evacuation of the world trade center, somewhere around the 70th floor. 6 months after 9/11, FBI called him up (the evacuated father who made it out) and said "we need you to come down and identify a few items" briefcase made it through with lots of things trashed inside, mostly crushed... but the HP was still working just fine.
strong statement as to their durability.
to email me: take my
I'm also a Ph.D. student in math (defending my dissertation next month), and I've found the exact opposite to be true. There's no better way to develop a deeper understanding of something than to play with it. As regards calculus and functions, this means plotting functions, composing them, zooming in on them, adding them, differentiating them, multiplying them, etc. This is especially relevant with polar and parametric equations, which can take some time to get the hang of.
The newer calculators even let you play with systems of differential equations and trace out solutions, flow lines, etc. What a great way to learn to visualize otherwise abstract concepts! If students would just sit and play with equations and see what the solutions would look like, they would have a much better grasp of what to expect when they encounter something new. Otherwise, it can tend to be a matter of memorizing a cook book of solution techniques.
Of course, there are times when the calculator can be a hinderance. In particular, the built-in symbolic differentiation and integration can become a crutch. (On the other hand, it's a great way to check your answers.) However, most of the associated problems can easily be dealt with by properly writing your curriculum. (e.g., giving calculator-free exams to test differentiation knowledge, splitting them into two-part exams (without calculator, then with calculator), giving weekly 5-minute self-quizzes, etc.)
At the end of the day, a graphing calculator is just another tool that can be used to help or hinder education. How it goes depends on a combination of student motivation and the leadership and guidance they receive from their professors and teaching assistants. (i.e., you) -- Paul
OpenSource.MathCancer.org: open source comp bio