


10 August 1998 Vol. 3, No. 32
THE MATH FORUM INTERNET NEWS
WebMath | Shapari | TI and Order of Operations - math-teach
WEBMATH - Tom Bensky
http://www.webmath.com/
Instant solutions to math problems: you may type your problem
directly into this Web site and get a step-by-step solution.
WebMath can solve many introductory-level algebra problems;
topics from trigonometry, advanced algebra, and calculus are
in the works.
Some WebMath solutions use Java for computer graphics and
animation. Current choices include:
- Everyday math
figuring a tip, sale price, converting temperatures
- Numbers
add, factor, GCF...
- Fractions
reducing
- Graphing
points, lines, circles
- Simplifying expressions
powers, products, like terms...
- Polynomials
add/subtract, multiply, divide, exponents...
- Factoring polynomials
using GCF, difference of two squares, trinomials
- Quadratic equations
solve by factoring, the quadratic formula...
- Word problems
percents
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SHAPARI - Spelunk Computing
http://www.SpelunkComputing.com/
Windows 95/98/NT software that emphasizes abstract thinking,
creativity, and open-ended exploration for ages 4 and up.
Shapari aims to combine the qualities of yesterday's classic
toys with today's technology. Designed to allow children to
produce intriguing abstract and fractal patterns from simple
shapes and operations, the program offers 5 levels of
difficulty. Children can challenge their visualization
abilities by matching colorful computer-generated patterns
and playing with iterations to explore the self-similarity
of fractals.
A trial version is available for downloading, and the summer
1998 price is U.S. $15.
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TI AND ORDER OF OPERATIONS - a math-teach discussion
A conversation that begins with a comparison of mnemonics
for order of operations [PEMDAS, GEMA] (16 July 1998):
http://mathforum.org/epigone/math-teach/snunzhemerm/
and continues with a discussion of inconsistencies and
ambiguities in the ways that calculators handle fractions,
exponents, etc....
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- TI and order of operations: (23 July 1998):
http://mathforum.org/epigone/math-teach/weeswilzhul
"On the TI-82, for example, 2/3x means 2/(3x) rather
than the more usual (2/3)x. This inconsistancy was
corrected on the TI-83." - Maxine Bridger
"Changing the order of operations is not a correction,
it is a choice. Correction would imply an error.
Inconsistency is indicated only if there were some
internal contradiction." - Ron Ferguson
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- Re: TI an order of operations (24 July 1998):
http://mathforum.org/epigone/math-teach/thilvarkhax
"It wasn't until the advent of computers that people
dealt carefully with the problem of what 1/2x really
should mean." - Lou Talman
"... there is a good reason for the lack of a universally
understood convention here: Nobody needs it. Only in a
schoolbook would one ever see something like
3-2+5-6*7/4*3-5+14/5*3..." - Ralph A. Raimi
"List members might wish to take a look at a 'structural'
representation we have included in V2.04 of GrafEq...
downloadable from http://www.peda.com/grafeq/down.html "
- Gary Tupper
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- Re: TI order of operations (27 July 1998):
http://mathforum.org/epigone/math-teach/quoogoxsni
"I noticed that my TI-92 says that 4^3^2 is 262,144,
but Microsoft Excel says that it is 4096..."
- Guy F. Brandenburg
"I was taught that the rule has always been 'start
at the top & work down'..." - David C. Purdy
"... difficulties with typography have instructional
implications. (If you don't believe that typography
can be difficult, ask yourself why Knuth devoted so
much time to it.)..." - Ron Ferguson
For information about the math-teach discussion group, see:
http://mathforum.org/discussions/about/math-teach.html
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