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Newsletter: Math Forum Internet News No. 2.33 (Aug. 18)
Posted:
Aug 16, 1997 11:10 AM


18 August 1997 Vol.2, No.33
THE MATH FORUM INTERNET NEWS
Casio Calculator Resources  Mozart & Math  Classic Fallacies
Charlie's Graphics Calculator Site CASIO EDUCATION SUPPORT
http://cleo.murdoch.edu.au/~cwatson/casio.htm
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:
http://pegasus.cc.ucf.edu/~ucfcasio/casio.htm
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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 later and a sound card, visit Kyle Dawkins' MOZART'S MUSICAL DICE:
http://lecaine.music.mcgill.ca/~dawkins/html/waltz.html
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 17 and 915, 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 to music, see MOZART'S MUSIKALISCHES WURFELSPIEL by John Chuang:
http://204.96.11.210/jchuang/Music/Mozart/mozart.cgi
... 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:
http://www.levering.k12.pa.us/WWW/probability/music/
... or to ignore the mathematics and just listen to Mozart playing in the background while you are working, visit Homegate's CLASSICAL MIDI ARCHIVES:
http://www.prs.net/mozart.html
Thanks to MFIN subscriber Rex Boggs for this suggestion!
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CLASSIC FALLACIES
http://www.math.toronto.edu/mathnet/falseProofs/fallacies.html
"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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The Math Forum ** 18 August 1997
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