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Jon Miller
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quote: Originally posted by cinch
Yes, what is up with that? I thought it was common practice that calculators were disallowed in university maths...
I was mistaken, I guess. |
in real math calulators make no difference
Jon Miller
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Urban Ranger
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Apolyton Duke of Off-Topic
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quote: Originally posted by Shi Huangdi
What is RPN? |
Reversed Polish Notation. Which is the way you needed to enter numbers and operators on HP calculators. Here's an example. From algebric notation
x = (a + b) * c
RPN:
a b + c * x =
It is based on the use of a stack, which, if you imagine, is similar to a stack of dishes at a buffet table. In other words, LIFO (last in first out).
Last edited by Urban Ranger on 20-05-2003 at 07:34
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problems with database and crosspost
Last edited by on 20-05-2003 at 09:01
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As many said, nothing short of a cmputer with some math-software is of ANY use past a calc course (that is at university level) and then even of very limited use.
At university level, math is about concepts, not much about calculations.
I would say my position on calculators at lower level is somewhat like Asher. Both approaches can be taken, but you have to make the test appropriate. You can easy computation and disallow calculators and allow answers in non-decimal (I prefer to say "exact") form to test understanding of concept. Or you can ask questions that require some heavier arithmetic and allow scientific calculators for maybe problems that look more realistic.
Now the third step is graphical calculators...
This is somewhat different.
Its very hard to check what gets on there.
A Ti-80 can numerically differentiate and I know a Ti 83 can be programmed to analitically differentiate, so basically renders obsolete almost all understanding of maybe the equivalent of a calc 1 course.
Now with even better calculators you could also analitically integrate sums infinite series of calc 2 level.
With no understanding.
It depends on the philosophy.
Of course someone could argue, that the person will have the tools later so should be able to use them right.
This is somewhat true though I find this akin to arguing that you will have a calculator later in life so should never need the addition table up to 10...
Some of you may think this is exagerating, but in some fields, maybe engineering or physics, (not math) differienting or integrating is almost like doing addition.
Even though something does it for you,. its important to know the most possible of whats happening below the surface.
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"Well apparently Einstein never memorized his phone number on the basis he could always look it up... so "
Im not saying this is not true, just that its almost certainly an urban legend or an exageration.
Maybe his phone number, but he knew his age, or his adress or somebody else's thats for sure.
Needing to remember where to look up all this useless trivia takes almost more memory work than to remember it.
Im not saying your particular example isnt true, just that if we checked , im almost certain that he remembered lots of "useless" trivia.
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The same with add table up to 10.
Anyone can look it up, but its used so often that its much quicker to learn it, and even better to "understand" it, understanding for example that addition is commutative, associative...
Everybody knows that (maybe not the words but the concept) and use it all the time in real life, although I have it written in some of my analysis books, it would be stupid of me not to know it to look it up...
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