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Convergence articles

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From the Editors

Request from the editors.

Silver Cups

A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.

Review of Mathematics Emerging: A Sourcebook 1540-1900

Our reviewer praises the selection of excerpts, the use of facsimiles rather than transcriptions, and the commentary and English translation in this collection.

Completing the Square

Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.

Boethius's Arithmatic
The Arithmetic of Boethius (480-524) dates from the early sixth century. This page is from a mansucript (Plimpton MS 165) that dates from approximately 1294, written on vellum.
Great Ideas of Mathematics
A set of four posters dealing with the Pythagorean Theorem, infinity, prime numbers, and the history of pi.
Still More Numbers

Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

A History of Mathematics Education
A reprint of the 32nd yearbook of the NCTM, dealing with developments in mathematics education in the U.S. and Canada. In particular, it gives a history of the various reform movements up to the publication date of 1980.
A Round Town

There is a round town 8000 feet in circumference.

The History of Mathematics: A Brief Course

A new edition of a brief history text, arranged topically rather than chronologically.

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