Math Forum Internet News

Volume 2, Number 9

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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.


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       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.


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                         SNARK

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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


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