 When The Counting Gets Tough, The Tough Count On Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion by William A. McWorter, Jr. of the application of the recursion formula for the Fibonacci sequence to counting and vector problems.
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 Which One Is Older? (Math Chat)  Frank Morgan, MAA Online
Creative solutions to the challenge: how can two people determine which is older without revealing their ages? Math videos available from the Mathematical Sciences Research Institute via the MAA. "Mathematics in Arcadia," "Fermat's Last Theorem," as seen
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 Whips and Dinosaur Tails  Ivars Peterson (MathTrek)
The loud crack of a deftly flicked bullwhip is a small sonic boom, generated when the whip’s thin, highly flexible tip exceeds the speed of sound. Sauropod dinosaurs of the family Diplodocidae have enormous tails that gradually narrow to thin, delicate
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 White Narcissus  Ivars Peterson (MathTrek)
The elegant, swooping forms carved out of wood by sculptor Robert Longhurst often resemble gracefully curved soap films that span twisted loops of wire dipped into soapy water. Alhough these abstract sculptures bear an uncanny resemblance to mathematical
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 WhizGraph  a program for data analysis and graphic presentation on your Mac  Hans Timm
WhizGraph is a data analysis and graphic presentation shareware program for the Macintosh. It combines professional graphing and versatile layout options with clear data management and comfortable macro calculation. The website provides more specifications,
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 Wholemovement  Bradford HansenSmith
Bradford HansenSmith presents the art and geometry of folding circles. As he explains, "Everything we know about geometry, mathematics, and all spatial arrangement and organization of matter is demonstrated by cutting into the wholeness of the sphere.
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 Who Likes Homework
Tutors and homework helpers in math, chemistry, physics and more.
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 Who's Counting  John Allen Paulos
Columns by Prof. John Allen Paulos, the author of Innumeracy, Mathematician Reads a Newspaper, and other popular books. Humorous and enjoyable articles by a keen observer of the world around him whose mind has been sharpened by mathematical practice.
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 Who's Really Ahead?  Ivars Peterson (MathTrek)
The winding down of the current baseball season seems an appropriate time to take a look at a curious inconsistency that sometimes appears in team standings... Once in a while the team with the higher winning percentage may be at least onehalf a game
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 Who's Really No. 1?  Ivars Peterson (MathTrek)
It happens every fall. Fierce arguments erupt over which U.S. college football team is the best in the nation. As the season progresses, this frenzy of head scratching and navel gazing mounts until the climactic bowl games at the end of the year (more
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 Who Wants to be a Millionaire? (Math Chat)  Frank Morgan, MAA Online
Answering the challenge: On ABC TV's "Who Wants to be a Millionaire," to maximize your expected winnings how sure should you be of your answer to the $500,000 question to answer? Somewhere from about 22.5% to about 46.5%, probably closer to the latter.
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 Who was Marin Mersenne?  Luther Welsh
It was not until the mid 20th century that Mersenne became known primarily for his Prime Number Conjecture. Historically, he was much better known for his correspondence with leading scientists of the day. Interested in optics, he also been called the
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 Why 2001 Won't Be 2001  Keith Devlin (Devlin's Angle)
"It's a good story... But how realistic is the behavior of HAL? We don't yet have computers capable of genuinely independent thought, nor do we have computers we can converse with using ordinary language. True, there have been admirable advances in systems
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 Why Does BacktoSchool Imply Back to Math?  Keith Devlin (Devlin's Angle)
...in a world where everyone can afford a pocket calculator and a great many people seem to be successful in life with little or no mathematical ability or knowledge of science, why do we place so much emphasis on math and science?
Whatever the answer,
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 Why Do Math?  The Society for Industrial and Applied Mathematics (SIAM)
A showcase for exciting mathematical and computational science topics at an introductory collegiate level. Short popular science articles that illustrate the innovative uses of math in yachting, cochlear implants, neuroscience, space travel, tomography,
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 Why Isn't There a Nobel Prize in Mathematics?  Peter Ross
Ross writes that Garding and Hormander state, "The true answer to the question (of the title) is that, for natural reasons, the thought of a prize in mathematics never entered Nobel's mind." Nobel's final will of 1895 bequeathed $9,000,000 for a foundation
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 Why major in Mathematics?  Department of Mathematics, University of Georgia
Seven reasons to pursue, or applications of, the major in mathematics: because you like it, because professional schools realize it develops analytical skills and the ability to work in a problem solving environment, because employers highly value those
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 Why Not Geometry?  Cut the Knot!, Alexander Bogomolny
An exploration of the validity of teaching algebra at the middleschool level, testing, mathematics ewducation reform, the goal of education, and a suggestion that geometry might be a more important starting point.
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 Why Study Math? How to Study Math  Math Forum, Ask Dr. Math FAQ
Why do we need to learn math? When are we ever going to use it in real life? Math study tips.
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 Width, Diameter, and Geometric Inequalities (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on width, diameter, and geometric inequalities.
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 Wikipedia Mathematics
The free encyclopedia's entries on mathematics. A wiki is a collection of interlinked web pages, any of which can be visited and edited by anyone at any time. Many pages also available in a range of foreign languages.
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 Wild About Math!  Sol Lederman
Math posts, which date back to October, 2007, have included "10 ways to get wild about Math," "How to square large numbers quickly (part 1)," "26 tips for using learning styles to help your kids with Math," "The algebra of crossmultiplication," "Flexagon
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 Wiles' proof of Fermat's Last Theorem  Paul Hewitt; University of Toledo
An overview, following Glenn Stevens' article in Modular Forms and Fermat's Last Theorem (SpringerVerlag, 1997). Notes from a series of three 1998 lectures.
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 Wiles, Ribet, ShimuraTaniyamaWeil and Fermat's Last Theorem  Dept. of Mathematics and Statistics, The University at Albany
An archive of FLT material from conferences, lecture, meetings, newsgroups, and Web sites. Much of the material that seeded this archive was copied from the former gopher archive pertaining to "Fermat's Last Theorem"at emath.ams.org.
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 William Lowell Putnam Mathematical Competition  The Mathematical Association of America (MAA)
The examination tests originality as well as technical competence. Questions cut across the bounds of various disciplines, and selfcontained questions that do not fit into any of the usual categories may be included. Announcement of winners, description
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 Will it rot my students' brains if they use Mathematica?  Theodore W. Gray and Jerry Glynn
Excerpts from the introduction to The Beginner's Guide to Mathematica V4. Jerry: "I have young students who reach for their calculators to get the answer to 5×6. My response, when I see that, is to explain that such behavior is socially unacceptable,
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 Will the real continuous function please stand up?  Keith Devlin (Devlin's Angle)
A description and a more rigorous CauchyWeierstrass definition that "forms the bedrock of modern real analysis and any standard 'rigorous' treatment of calculus," with a discussion of how the formal definition involves a major shift in conceptual model
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 Wilson's Inversive Geometry with CabriJava  Wilson Stothers, University of Glasgow
An introduction to inversive geometry, with explanations and illustrations using
CabriJava. Many of the results and ideas are Greek, largely due to Apollonius of Perga. The approach is from the Klein viewpoint, using a group of transformations of a
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 Wilson's Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description and proof of Wilson's Theorem, another consequence (Fermat's Little Theorem being one) of Euclid's Proposition VII.30, with related links.
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 Wilson Stothers' Geometry Pages  Wilson Stothers, University of Glasgow
A guide to the various geometry topics on Stothers' pages, including Euclidean, affine, projective, inversive, and hyperbolic geometries, and the Klein View of geometry. These pages began as an experiment in teaching projective conics using Cabri to provide
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 WIMAT  Learning Linear Algebra with the PC  Janiszczak, Knörr
A free DOS and Windows learning and training program, with routines that demonstrate important algorithms or procedures in linear algebra and linear programming such as Gaussian algorithm, procedures for solving linear equations and inverting matrices,
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 WIMS (WWW Interactive Mathematics Server)  Université de Nice  Sophia Antipolis
Interactive mathematical applications, also available in French, with documentation. The server's exercises and programs are designed to find a polynomial with given values; find the Taylor expansion of a function; find a polynomial from its curve; given
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 WINDandSEA  The Oceanic and Atmospheric Sciences Internet Locator  The NOAA Central Library
An atmospheric and oceanic sciences Internet Resource Locator with over 800 selected links to science and policy sites organized by topic and alphabetically within topic. Current interest topics (Year of the Ocean; El Nino)a teacher's corner with teachingrelated
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 WinFiles.com Windows Shareware Collection  CNET, Inc.
A searchable virtual shareware library. Newest shareware, and shareware classified and sorted by platform on "categories" pages  for details, see the Readme file. Includes calculators, mathematical graphing tools, unit converters, educational games and
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 WinKE: A Proof Assistant for Teaching Logic  Ulrich Endriss
An interactive proof assistant based on the KE calculus, a refutation system that combines features from Smullyan's analytic tableaux and Gentzen's natural deduction. The software has been designed to serve as a tutoring system to support the teaching
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 WINKS & KWIKSTAT Statistics Software  TexaSoft
Statistical data analysis software for Windows (WINKS) and DOS (KWIKSTAT). Programs in zipped format to download; free evaluation copy of any program you are interested in seeing. Courses on Statistical Data Analysis and QS9000 Statistical Techniques
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 A Winning Division  Ivars Peterson (MathTrek)
A farmer plans to divide a triangular piece of land evenly between his son and daughter. Because he wants to be scrupulously fair, he would like the two pieces to have not only equal areas but also equal perimeters. Where should he draw the line? This
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 The Winning Voting System (Math Chat)  Frank Morgan, MAA Online
Results submitted to the challenge: What do you think is the best voting system among three or more candidates? Joseph DeVincentis suggests a version of approval voting in which each voter has three choices: approval (+1), no opinion (0), or disapproval
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 Wireless Philosophy
Free videos on the practice of philosophy — teaching viewers how to develop critical thinking skills and do philosophy, rather than simply learn what philosophers have thought. See, in particular, Wi Phi's categories of videos on the philosophy
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 WIRIS  Ramon Eixarch and Daniel Marquès, Maths for More S.L.
WIRIS math tools include a formula editor, online CAS (Computer Algebra System) and advanced math assesment tools. WIRIS tools are easily integrated into Moodle and other LMS. You can experiment with all WIRIS tools running in a Moodle environment.
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 Wisconsin Center for Education Research (WCER)  School of Education, Univ. of WisconsinMadison
One of the oldest and largest education research centers in the world, providing an environment where some of the country's leading scholars conduct basic and applied education research. The WCER roster includes nearly two dozen research centers and projects
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 Wisconsin Emerging Scholars Program (WES)  The Math Forum
A program for calculus students designed to boost the performance and persistence of freshman in the UWMadison's 3course calculus sequencea "gateway" course required of students planning to major in science, math, or engineering. The WES program places
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 WisFaq
A Dutch language askanexpert math service. "De digitale vraagbaak voor het wiskundeonderwijs." WisFaq is een samenstelling van WISKUNDE en FAQ. FAQ is een afkorting voor 'Frequently Asked Questions' en dat is nu precies wat WisFaq wil zijn: een plek
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 Wittgenstein Thought  Bill Finzer, Key Curriculum Press
Two sketches illustrating a problem posed by Wittgenstein: A stick passes through a sleeve (in which it can smoothly slide). The sleeve is nailed to the wall. As one endpoint of the stick describes a circle, what does the other endpoint describe? One
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 The Wizard of Odds  Michael Shackleford
As a rule of thumb, the harder a game is to understand the better your odds of winning if you do understand it. By understanding the more complicated games such as blackjack, baccarat, and craps you can have an expected return of at about 99 cents per
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 The Wolf Foundation  Yaron E. Gruder, Director General
The Wolf Foundation awards prizes to outstanding living scientists and artists, including mathematicians. Read general information and more about the nomination procedure. Named in honor of Ricardo Wolf, the Foundation also awards about 200 scholarships
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 WolframAlpha  Wolfram Alpha LLC
A computational knowledge engine that "computes whatever can be computed about anything." Query Alpha about "essentially any kind of systematic factual knowledge," with particular strengths in "areas where computation or mathematics have traditionally
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 The Wolfram Demonstrations Project  Wolfram Research, Inc.
A web collection of freely available demonstrations in math, science, and many other areas. Interact with the demonstrations directly in your browser. Each Demonstration contains a set of related links to sites such as MathWorld, The Wolfram Functions
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 Wolfram Research, Inc.
Wolfram is the maker of Mathematica, a software system for numeric and symbolic computation, data visualization, and programming; an interactive calculation tool and programming language to solve technical problems. Mathematica's electronic documents,
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 Wolfram Research in Precollege Education  Wolfram Research
"In the Classroom" highlights how some schools and organizations use Mathematica extensively in their curricula. The section on "Collaborative Initiatives" illustrates how businesses have teamed up with Wolfram Research to sponsor handson workshops,
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