Math Forum Internet News

Volume 2, Number 33

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18 August 1997                                  Vol. 2, No. 33


Casio Calculator Resources | Mozart & Math | Classic Fallacies

              Charlie's Graphics Calculator Site

High school level Casio calculator resources, including
downloadable programs, student worksheets and activities,
calculator comparisions, links to other Casio sites,
and a listing of print resources for educators, as well
as information about Sharp, HP, and TI calculators.

Author Charlie Watson, a Western Australian math teacher,
is an active member of Casio's TEAMS (Technology Enhanced
Applications of Mathematics and Science) project:


                   MOZART AND MATHEMATICS

Would you like to hear a minuet composed by Mozart, one
that has probably never been performed before and
almost certainly will never be performed again?

If you have Netscape 3.0 or better and a sound card, visit

Mozart composed 11^14 * 2^2 minuets by forming a blank
template of sixteen bars of music, and then offering
eleven choices for each of bars 1-7 and 9-15, and two
choices each for bars 8 and 16. The bars were to be
selected by rolling dice: two dice for most of the bars,
and one die for bars 8 and 16. (Since the sum of the
dice was used, not all compositions had an equal chance
of being selected.)

For more information about this application of probability
John Chuang:

... read how music teacher Lorraine Fielding used this 
site to create a musical project, MUSIC AND PROBABILITY,
for her students at the Levering School in Philadelphia:

... or to ignore the mathematics and just listen to Mozart
playing in the background while you are working, visit


Thanks to MFIN subscriber Rex Boggs for this suggestion!


                       CLASSIC FALLACIES

"Startling discoveries" from the Univ. of Toronto Mathematics
Network, including "conclusive proof that 1 is equal to 2,
that every person in Canada is the same age, that a ladder
will fall infinitely fast if you pull on it, and many other
results that threaten the very fabric of common sense."

Each of the 'proofs' is presented in steps: when you think
you know where a fallacy lies, select that step and you will
be told whether or not you are right, with an explanation
of why the step is or is not valid.

See how many tries it takes you to identify the fallacy!


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