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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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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 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 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 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! -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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! -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problem of the Week http://mathforum.org/geopow/ Internet Resources http://mathforum.org/~steve/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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