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.
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.
Prof. Williams P. Wardlaw [firstname.lastname@example.org] 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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