The Collatz Chameleon
Marc Chamberland

Dynamic insights to the famous 3x+1 problem---today's most easily-stated unsolved mathematical problem. Despite its powerless looks, this problem has enticed many bounty hunters to pursue it with little to show at the end of the day.

A Conversation with Lewis Carroll
Ezra Brown

A moment of reflection with the author of Through the Looking Glass.

Lewis Carroll's Condensation Method of Evaluating Determinants
Adrian Rice and Eve Torrence

A delightful way of determining determinants due to the Reverend Charles Lutwidge Dodgson. Although more of a recreational mathematician than a serious researchers, Dodgson did make a number of small contributions, most of which are largely unknown to today's mathematicians.

One Introduction to Mathematical Research
Bruce Reznick

You've proved a theorem...so now what? Mathematical research consists of question-asking, problem solving, knowledge-finding, and checking, checking, checking.

Stupid Divisibility Tricks: 101 Ways to Stupefy Your Friends
Marc Renault

A compendium of divisibility tests for 2 to 102.

Number Theory Crossword Puzzle
Thomas P. Dence and Jenise A. Smalley

Do you know what the "E." in John E. Littlewood stands for? Or who founded the Great Internet Mersenne Prime Search? If so, you are ready to tackle this crossword puzzle.

About Knitting…
sarah marie belcastro and Carolyn Yackel

Hidden within almost any knitting project is not only the arithmetic of counting rows and stitches, but also structural problems that are best understood using abstract mathematics. You don't need to know how to knit to appreciate some mathematics of knitting.

Book Reviews
Chris Scheper and Jacob McMillen

Students review Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by Robert B. Banks and Ramsey Theory on the Integers by Bruce M. Landman and Aaron Robertson.

REU Profile: Industrial-Strength Mathematics at WPI
Arthur Heinricher

Worcester Polytechic Institute runs an eight-week research program about industrial mathematics. The problems are real. They come from companies and the companies are serious about solving the problem.

Contract Law 101.111…
William Kazez

A true story about a renter caught in an infinite cycle of rent and pay increases. Geometric series to the rescue!

My Train of Thought
Stephen R. Cavior

Variations of the theme of "two trains leave their respective stations traveling in opposite directions on parallel tracks..."

Problem Section
Andy Liu

Polyhex Compatibility
Andris Cibulis and George Sicherman

Do you enjoy puzzles? Number Theory? Try your hand at these visually appealing questions of finding least common multiples for given polyhexes (figures made of cells shaped like regular hexagons joined edge to edge).