 Brainwave  Wognum Art
Ten visual puzzles, to test your visual and reasoning skills. Most have to do with symmetry recognition. There is a "top 5% brain" award to those who earn ten "smart bulbs."
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 Brainy Figuring  Ivars Peterson (MathTrek)
In the May 7 Science, Dehaene and collaborators at the Massachusetts Institute of Technology present the first hard evidence that two quite different modes of brain activity underlie our inborn capacity for mathematics. Their study indicates that learning
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 Bray Proves Penrose Conjecture in General Relativity (Math Chat)  Frank Morgan, MAA Online
In 1979 R. Schoen and S.T. Yau proved that the total mass of a universe must be positive. Last year [1998] G. Huisken and T. Ilmanen proved that the total mass is at least as large as the largest constituent mass: M >_ m1. Finally this year [1999] H.
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 Breaking Chocolate Bars  Cut the Knot!, Alexander Bogomolny
The chocolate bar puzzle has three parameters: two side lengths (m and n) and actual selection of lines along which to break the bar and its parts... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem,
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 Breaking the Light Barrier  Michael H. Walker
Galleries of fractal images: Flarium 1, Inkblot 1, etc.
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 Brendan McKay
Software includes nauty, a program for computing automorphism groups of graphs and digraphs, which can also produce a canonical labelling; and plantri, a program for generating planar triangulations. Also, skeptical treatment of claims made of miraculous
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 Bret Victor
From the creator of Kill Math, Victor's "umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuitionguided exploration" in pursuit of a "widelyusable, insightgenerating
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 The Bridges of Königsberg  Isaac Reed
This problem inspired the great Swiss mathematician Leonard Euler to create graph theory, which led to the development of topology.
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 The Bridges Organization: art and mathematics  George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paperfoldings created by mathematicians and
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 Bridge to Higher Mathematics  Sam Vandervelde
Textbook for use with the proofs course taught at St. Lawrence University by Vandervelde, an Associate Professor of Mathematics who writes questions for the USA Math Olympiad. Bridge to Higher Mathematics incorporates "concept checks" and "mathematical
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 A Brief History of Algebra and Computing: An Eclectic Oxonian View  Jonathan P. Bowen; Oxford University Computing Laboratory, UK
Math history: Chapters on: The Origins of Algebra; Early English Algebra; Algebra and Analytical Engines; Boolean Algebra; Algebra and Computing; Recent Developments in the Algebra of Programs. References. Also available at http://www.museums.reading.ac.uk/vmoc/algebra/.
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 A Brief History of Cosmology  MacTutor Math History Archives
A hypertext essay describing the course of cosmology from its beginnings in early Babylonian society through the present, with References.
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 A Brief History of Mathematics  British Broadcasting, United Kingdom
Ten episodes of maths history by Marcus du Sautoy, first broadcast on the BBC in 2010, each themed around a particular mathematician or group of mathematicians.
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 A Brief History of Mathematics  Marcus du Sautoy, BBC Radio 4
Audio biographies of famous mathematicians: Newton and Leibniz, Euler, Fourier, Galois, Gauss, Riemann, Cantor, Poincaré, Hardy and Ramanujan, and Bourbaki. Each clip, originally aired on BBC Radio 4, runs about fifteen minutes long.
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 A Brief History of Mechanical Calculators  James Redin
An essay on the historical evolution of calculating machines, from the abacus to Babbage's differential machine to today's computers. Contents include: the abacus; the Antikythera calculator; Napier's Bones; Leonardo da Vinci's design; Schickard’s machine;
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 Brighten's Fractals Page  Brighten Godfrey
Investigate "Just Another Fractal Generator," a Java applet to make Iterated Function System (IFS) fractals based on triangles, or view a gallery of images created using the program.
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 Brightest Moon for Thousands of Millennia? (Math Chat)  Frank Morgan, MAA Online
Answer to the challenge: Was there any validity to the claim that the full moon of December 22, 1999 was the brightest that we shall see for millions of years? (Factors that coincided.) New challenge: Eric Brahinsky saw in an article on "New molecule
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 Brilliant
Weekly Olympiadstyle challenges that offer "rigorous, competitive, whimsical, and edifying" problem sets in math and physics. Register to explore the Brilliant Techniques Trainer's practice exercises; answer correctly to earn points redeemable for lanyards,
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 A Brilliant Madness: The story of Nobel Prize winning mathematician John Nash  PBS
"The story of a mathematical genius whose career was cut short by a descent into madness." Read a synopsis of the documentary, the film's transcript, primary sources such as John Nash's dissertation, his Nobel autobiography, and more. Based on the documentary,
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 Bring The Internet Into Your Classroom  NASA Quest Project
Links to an Internet Video Series designed to help teachers, administrators and community members introduce the Internet into K12 classrooms; grant information; which schools are online; and the universe of other NASA and Education Online Resources.
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 The British Society for the History of Mathematics (BSHM)
The British Society for the History of Mathematics promotes research into the history of mathematics and its use at all levels of mathematics education through meetings, a newsletter, and by other means. The BSHM takes in all periods and civilisations,
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 British Weights and Measures Association  Mr. Vivian Linacre, Edinburgh, UK
Views and aims; press releases; the association's publications and some articles from them; a list of patrons and officers; subscription details; an invitation to help; and contact information. "The British Weights and Measures Association opposes wanton
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 BrokenAirplane.com  Phil Wagner
Blog of "tips and ideas that you can use in your classroom immediately, and suggestions to help you, no matter your teaching or technology experience." Posts, which date back to June, 2010, have included "Math Project  Slope Art," "SAM Animation Is the
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 A Broken Calculator  Cut the Knot!, Alexander Bogomolny
Thoughts on the controversial question of using calculators in the classroom, and the author's belief that even a broken calculator may have its uses: the elementary mathematics curriculum may emphasize any or all of the paperandpencil, mental, or technologybased
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 Brownian Motion  Charlie Geyer
An applet that draws onedimensional Brownian motion, with source code and a link to statistical Java applets by others.
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 b's law  Brian Lawler
Blog begun March, 2011, by a professor of math education at California State University San Marcos. Posts, which "try to disrupt," have included "continued reaction to tracking," "The Problem of the Skateboarder Problem in IMP," "A Deconstruction of Learning
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 BUBL Link: Libraries of Networked Knowledge
A searchable national information service for the UK higher education community. Directory of UK organisations and institutions; Archive of LIS, journals, Internet development; abstracts, full text, hundreds of titles of journals; news: jobs, events,
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 Buffon's Needle  Michael J. Hurben
A Java applet that simulates a Monte Carlo method for the estimation of the value of pi, 3.14159265... The user controls the speed of simulating the dropping of up to 100,000 needles or pins on equally spaced parallel lines, while a bar graph displays
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 Buffon's Needle (MSTE)  George Reese; University of Illinois at UrbanaChampaign (UIUC)
Buffon's Needle, first stated in 1777, is one of the oldest problems in the field of geometrical probability. It involves dropping a needle on a lined sheet of paper and determining the probability of the needle crossing one of the lines on the page.
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 Buffon's Needle  Paul Kunkel
An investigation of the problem: Consider a plane, ruled with equidistant parallel lines, where the distance between the lines is D. A needle of length L is tossed onto the plane. What is the probability that the needle intersects one or more lines?
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 Buffon's Needling Ants  Ivars Peterson (MathTrek)
The idea of estimating pi by randomly casting a needle onto an infinite plane ruled with parallel lines was first proposed by the naturalist and mathematician Georges Louis Leclerc Comte de Buffon (17071788). In recent years, computer
simulations have
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 bugman123.com  Paul Nylander
Tessellations, gear spheres, hyperbolic geometry, fractals, hypercomplex fractals, minimal surfaces, and more original mathematical artwork. See also Nylander's simulations of physics phenomena such as the magnetic field of a solenoid, 2D waveparticles,
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 Build a Recreation Center Using Geometry  Gwen Neuberger, Community High School, West Chicago, IL
"Our geometry class is being asked to design a recreation center for the children of West Chicago. Money is no object. The class will be divided into groups of approximately four students." The site includes a lesson plan and scenario, as well as pages
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 Building an Icosahedron as a Class Project  Frederick J. Wicklin
A Teacher's Guide. This document describes how to build an icosahedron as a class project. The size is up to you. Stepbystep instructions are provided, as well as figures, diagrams, and templates.
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 Building a Virtual Museum Community  Jamie McKenzie
Virtual museums provide an excellent opportunity for museums to partner with schools. The Bellingham (WA) public schools recognized the potential of a partnership with the Whatcom County Museum of History and Art in Fall of 1995. This article describes
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 Building Big  WGBH Educational Foundation
Explore great feats of engineering and the ingenuity of the engineers, architects, and builders who designed and built them. Learn about bridges, domes, skyscrapers, dams, and tunnels; use Flash interactive engineering labs to experiment with forces,
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 Building Homes of Our Own  National Association of Home Builders (NAHB)
An interactive teaching tool for the middle and high school classrooms. The simulation presents a macro view of the entire home building process, from site selection to final sale. Students collect information, solve problems and make choices as they
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 Bureau of Economic Analysis (BEA)  U.S. Department of Commerce
The nation's economic accountant, preparing estimates that illuminate key national, international, and regional aspects of the U.S. economy. Regional, national, and international data, articles, and products.
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 Bureau of Justice Statistics  U.S. Department of Justice
The BJS collects, analyzes, publishes, and disseminates information on crime, criminal offenders, victims of crime, and the operation of justice systems at all levels of government. Key statistics by topic; list of publications, with abstracts, many of
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 Bureau of Labor Statistics  JoAnn L. Yu
The BLS collects information on the U.S. labor force, the economy, etc. Includes "The Economy at a Glance," press releases with relevant statistics, timeseries of various data, regional data, various publications, and information about jobs in the bureau.
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 Burning 1Hour Fuses in 45 Minutes (Math Chat)  Frank Morgan, MAA Online
You have two onehour fuses: lighting one end of a fuse will cause it to burn down to the other end in exactly one hour's time. You know nothing else about the fuses; in particular you don't know how long any segment of a fuse will burn, only that an
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 Burnt Toast Publishing  Bran McMillin
Burnt Toast Publishing offers the math puzzles for free use.
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 The Burr Puzzles Site  IBM
A Burr Puzzle consists of at least three rods intersecting each other at right angles. The most wellknown type is the six piece burr where three sets of two rods intersect each other. This site lets you explore six piece burrs by selecting from a list
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 Buses on Quantum Schedules  Ivars Peterson (MathTrek)
Anyone who has waited for a bus in the city has probably casually observed that, after an inordinately long wait, two or three buses often come along at the same time. Mathematical models that simulate traffic flow confirm that bus bunching is a real
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 BusinessHigher Education Forum  BusinessHigher Education Forum
BHEF is an organization of Fortune 500 CEOs, prominent college and university presidents, and foundation leaders working to advance innovative solutions to education challenges in order to enhance U.S. competitiveness. BHEF addresses education issues
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 ButlerCooley Excellence in Teaching Awards  Turnaround Management Association (TMA)
This program, made possible through the John William Butler Foundation, honors elementary and secondary grade teachers who have demonstrated exceptional dedication and skill in shaping the lives of students and the communities in which they live. It awards
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 Butterfly Station  Manfred Ullman
Applets for exploring spirographs, pendula, the Mandelbrot set, and Lorenz attractors.
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 The Butterfly Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Ten proofs (and a few variations) of the beautiful Butterfly theorem, with illustrations and remarks. Links to some generalizations: A Better Butterfly theorem, 2NWinged Butterfly theorem, several pages on the Two Butterflies theorem. Several of these
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 The Butterfly Website Picture Galleries  Mikula Web Solutions, Inc.
Symmetry in nature: butterfly and moth images from a variety of sources. In most cases, a small picture is included for speed of transmission, and a larger picture is available by clicking on the small picture.
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 Byte Works, Inc.
Developers of the apps iPhone Calculator, a scientific/logic/conversion calculator; and techBASIC, which takes advantage of the iPod's, iPhone's, and iPad's builtin accelerometers, gyroscopes, or magnetometers to collect information, process it with
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