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3 March 1997 Vol. 2, No. 9 THE MATH FORUM INTERNET NEWS AP Statistics Courses | Proof by Induction | Snark Mailing List ADVANCED PLACEMENT STATISTICS COURSES Two courses designed to prepare students for the AP exam in Statistics: WOODWARD ACADEMY: AP STATISTICS ON THE WEB - Paul Myers http://www.mindspring.com/~waus2/apstat/ Comprehensive statistics resources include information on textbooks, reference materials, software, TI calculator programs, and the College Board. The site also features discussions on apstat-l and a selection of online tests. BB&N: AP STATISTICS - A MEASURE OF EXCELLENCE http://www.bbns.org/us/math/ap_stats/ Buckingham Browne & Nichols School's course emphasizes projects that require hands-on gathering and analysis of real world data. The site provides homework assignments and makes use of the popular "Workshop Statistics" text. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- FROM THE MATHEDU ARCHIVE: PROOF BY INDUCTION http://mathforum.org/epigone/mathedu/blinblehhand Prof. Williams P. Wardlaw [wpw@nadn.navy.mil] writes: I like to introduce induction with a story about painting a chain. Given my institution, I prefer an anchor chain: A First Lieutenant (responsible for painting) orders a Seaman to paint the anchor chain. Later he asks the Seaman what color he painted the chain. The Seaman cannot remember, but is sure that whatever color he painted a given link, he used the same color for the next link. The First Lieutenant goes on deck and sees that the first link, just showing at the top of the hawse pipe, is chartreuse. What color is (every link of) the chain? The story is followed by a formal discussion of induction and several examples, such as a couple of summation formulas and a couple of inequalities... \-|-/ Lou Talman adds: Sonneborn's Horse Lemma states that all horses are the same color. Its power lies in its immediate applicability to proofs by contradiction, which assume the form "Suppose it were not so. Well, that would be a horse of another color, wouldn't it." \-|-/ This searchable thread from the MATHEDU archive cites useful articles and discusses examples of mathematical proof by induction at both the high school and the college level. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- SNARK A SPANISH-ONLY MATH PUZZLE MAILING LIST LA LISTA SNARK engloba a la matemática recreativa, los problemas de lógica recreativa, juegos de tablero y problemas sobre ellos, rompecabezas geométricos (polióminos, policubos, tangrams, problemas de partir figuras, etc.), cuadrados mágicos, juegos con el lenguaje (palindromos, anagramas, textos monovocálicos, etc.), paradojas, y todo aquello que sorprenda, maraville y deje perpleja a la inteligencia. SNARK is an open, self-moderated mailing list devoted to puzzles, recreational mathematics, logic, word games, paradoxes, board and strategic games, geometry problems, mechanical puzzles, and other brain-teasers. CONTRIBUTIONS ARE ONLY IN SPANISH. To subscribe to Snark, send an e-mail to majordomo@ccc.uba.ar In the BODY of the e-mail message write: SUBSCRIBE SNARK A searchable archive of the Snark list is now hosted by the Math Forum at: http://mathforum.org/epigone/snark -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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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