 From Polychords to Polya: Adventures in Musical Combinatorics  Mike Keith
A book that explores the various connections between the basic musical building blocks  chords, scales, and rhythms  and the area of mathematics known as combinatorics, which is concerned with counting and classifying configurations of objects. Questions
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 From Starting Line to Ancient Angle  Ivars Peterson (MathTrek)
The ruins of ancient Corinth include a stadium that featured several courses for foot races. In 1980, archaeologists found and excavated the curved starting line for one such racecourse, dating from about 500 B.C. Curved to allow a staggered start, the
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 FroZenLight  Zoltan Palmer
Interrelating line arts, mathematics, and cryptography, this free Java application simulates experiments in classic optics. Use FroZenLight to see how beaming a light ray onto circular mirrors would produce reflection patterns ranging from the symmetric
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 f(t)  Kate Nowak
A blog by a selfdescribed "fulltime math teacher, curriculum inventor and refiner, adolescent listener, correspondencetoparents writer, practice problem feedback giver, and examplesetter" who has taught high school math since 2005. Posts, which date
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 Fun and Games in Nevada  Ivars Peterson (Mathland)
...in the hotel's casino, the sights and sounds were... the glare of neon lights, the jangle of coins erupting from slot machines, the clink of chips at blackjack tables, and the mutter of avid gamblers testing their luck. It was the middle of April,
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 A Functional Housing Market  Susan Boone
Students use the Internet to search for housing prices in Houston, Texas, (the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house. A linear equation is derived from
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 Function Basics  David Eger; Interactive Mathematics Online (IMO)
Functions are mathematical ideas that take one or more variables and produce a variable. In an abstract mathematical sense, a function is a mapping of some domain onto some range. For each item in the domain, there is a corresponding item in the range
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 Function Institute (Zona Land)  Edward A. Zobel
Twodimensional (x,y) functions: linear (slopeintercept, pointslope, and general forms), polynomial (definition, roots, graphs), and exponential (definition, exponential growth, radioactive decay, money matters  simple, compound, and continuous interest,
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 Function Squashing  David Eger; Interactive Mathematics Online (IMO)
Exploring things you can do with periodic functions like sine and cosine; translation, and vertical and horizontal scaling.
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 FUNdamentally MATH  Chip Publications
A commercial DOS/Windows program covering kindergarten through grade 12 math topics (Basic skills: Addition, subtraction, multiplication, division, negative numbers; Fractions: ordinary and decimal; Middle school geometry; Exponents: powers, roots, number
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 Fundamental Theorem of Algebra  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Some of the history of complex numbers, perfect numbers, irrational numbers, imaginary numbers, and the first proof of the Fundamental Theorem of Algebra (statement and significance), given by Carl Friedrich Gauss (17771855) in his Ph.D. Thesis (1799).
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 The Fundamental Theorem of Algebra  MacTutor Math History Archives
Linked essay covering from Cardan in the 1500's to the Euler and Argand proofs through the 1800's, with 8 references (books/articles).
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 Funderstanding Roller Coaster
Java simulation intended for students who want to design a roller coaster and educators who want to use an interactive activity to simulate the application of physics. Includes information on the following topics: acceleration; centripetal force; energy;
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 Funding Educational Technology: Online Resources (NJ NIE)  New Jersey Networking Infrastructure in Education
The sites listed may not have information directly relating to obtaining funding, but all of the organizations do provide it. Links to sites in the following categories: government, foundation, business, and other, and a section of grants for school telecommunications
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 Funforms: a New Math Learning System  Joel S. Steinberg
An abacus or sliderulelike notation system, essentially binary (though a trinary system also exists). The web site includes a description of how to use it, and suggests that it might be taught to preschoolers as a game, or used to teach math concepts
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 The FUNKtion  Appreciating Math through Art  ThinkQuest 1996
How to do really hard graphic stuff. Tilings, Fractals, Sierpinski Gaskets, animations, pictures, links. Math "crash courses" on Complex Numbers; Magnitude and the Pythagorean Theorum; Functions; and 3D.
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 funmaths  Fundamental Software
Download mathrelated games for Windows (the Rocky's Bouncer algebra game is free; others are shareware.) Teachers can trade worksheets online: everyone may see the measurement worksheets, but the other categories require that you submit your own worksheet
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 Funny Arithmetic  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java game: using arithmetic, logical, and bitwise shift operators and parenthesis, build an arithmetic expression with as many Base digits as specified in the Number of occurrences. Your expression should evaluate to the specified Goal. For example,
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 Fun, Puzzles, Travel  Paul Bourke
Brain twisters, arranged by approximate level, and designed for the most part to require no particularly advanced mathematical skills. Illusions include impossible triangle, MullerLyer, bad box, and Colours.
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 Fun with Cellular Automata  Mathilde Rufenacht
Java applets such as "pattern calculators" for exploring onedimensional cellular automata, Conway's game of life, and the skins and furs of animals. Also, use the site to run your own screen savers.
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 Fun with Fractals  Keith Gabryelski
Click in the fractal image to select the area of the fractal you would like to examine; select a location and style for the fractal image by modifing the values in the form.
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 Fun With Mathematics!  Harry J. Smith
Mathematical recreations, curiosities, and software, from computing pi, tesseracts, and data encryption to golygons and quaternions  and much more.
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 Fun with maths!  Stuff Media, U.K.
Puzzles for which you need shockwave installed on your computer. (You can download it from this site.) Number Square (add numbers and see them grow, smash them with a fist, make patterns); Think of a number between one and nine, multiply it by 5... will
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 Fun With Num3ers
A blog of mathematical puzzles, mostly in number theory. Posts, which date back to January, 2012, have included "Using digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 only once (Part Two)," "Pythagorean triple – Digits Reversed," "Concatenation puzzle: when (A 
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 Fun with Probability! The Probable Pen in the Cereal Box  Michael Cornell; College of Education, Univ. of Illinois at UrbanaChampaign
A cooperative classroom project for grades K9. Over a threeweek period (24 April  10 May 1996), project participants jointly calculated the expected value of a simple probability problem via experimentation. This joint effort among interested schools
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 Further Mathematics Support  Mathematics in Education and Industry
The Further Mathematics Support Programme (FMSP) promotes advanced math across the United Kingdom (UK) through professional development for teachers and tuition to students in Britain. Further Maths is an AS/A level qualification which both broadens and
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 Futility Closet  Greg Ross
"An idler's miscellany of compendious amusements." Math posts, which date back to January, 2005, have included puzzles, curios, and trivia from the lives of famous mathematicians  all "selfcontained and written as concisely as possible"  such as
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 Future of Leap Seconds  Steve Allen
Allen, an astronomer, discusses leap years, leap seconds  and how to avoid their use when redefining Coordinated Universal Time (UTC): three pictures that show the situation; elapsed time (JavaScript that shows POSIX's inability to provide an interface
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 Future of Math  Jamie Tubbs
This site supports the use of blogs, digital cameras, digital portfolios, discussion forums, spreadsheets, and other digital media to enhance student understanding of mathematics. Find suggestions on how to teach with journals, problemsolving, learning
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 The Futures Channel
Curriculum resources in math and science to help educators connect learning to the real world for their students. The Futures Channel also provides professional development resources with content from master teachers Kay Toliver and Jaime Escalante. Some
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 Future School
Developer of educational software, online tutoring, and home schooling courses. Video tutorials. Sample lessons and ordering information available.
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 fxsolver  Equanalysis UG
Free equation solver with a formula database for quick calculations on tables and data input "without messing around with programming languages or spreadsheet software." Browse the hundreds of math formulas, then click the gray "Add to Solver" button
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 g3d 3Dimensional Graphing Applet  Eugene Agichtein
Currently available functions: sin, cos, tan, acos, asin, atan arguments in radians; Hyperbolic Functions  sinc, ctan, actan; sqrt, sqr, exp, log, ln. Operators: +, , /, *, ^ . Graphs are highlighted in red to show contours, and can be rotated by dragging
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 GalaxyGoo
An interdisciplinary, volunteer thinktank dedicated to exploring expressions of science and math with online technologies, for public benefit. Read interviews of scientists; explore math such as the sine curve with Flash, participate in forums and blogs,
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 The Galileoscope™  International Year of Astronomy
Highquality, lowcost, easytoassemble telescope kits developed for the International Year of Astronomy (2009) in celebration of "... the celestial wonders that Galileo Galilei first glimpsed 400 years ago and that still delight stargazers today. These
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 Gallery of Data Visualization  Michael Friendly, York University
Examples of the best and worst of statistical graphics, from what is arguably the best statistical graphic ever drawn, to the current recordholder for the worst.
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 Gallery of Fluid Mechanics  M. S. Cramer
An image/movie gallery illustrating a wide variety of phenomena, including aurora, vortices, supersonic flow, supersonic cars, water drops, water waves, and shock waves. Accompanying each image or movie is a brief physical explanation. Students and teachers
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 Gallery of Fractal Images  Paul Bourke
An experiment in a creating a virtual gallery based upon a minimal WWW environment that doesn't require Java, VRML, or server features such as a rendering engine or CGI programs. Upon entering the gallery, move forward by clicking near the upper center
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 Gallery of Interactive OnLine Geometry  The Geometry Center
Twelve interactive online geometry programs: WebPisces (compute implicitly defined curves in the plane); Build a Rainbow (a lab that examines a mathematical model of light passing through a water droplet); QuasiTiler (generate Penrose tilings or design
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 Gallery of Mathematical Images  Dept. of Mathematical Sciences, Loughborough University, UK
The Mandelbrot Set (frames from an animation); Quaternionic Fractals (an extension of the complex numbers  Mandelbrot and Julia sets); Hyperspace (4dimensional structures projected into 3dimensional space); Molecular Dynamics (images from simulations,
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 The Galois Story  Ivars Peterson (MathTrek)
The life and death, myth and reality, of Evariste Galois, with a short bibliography.
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 Gamco Education Materials: Educational Software for K12
Programs for Macintosh and Windows, with downloadable demo versions. Math programs include: Skillbuilders (perimeter, area, volume, whole numbers, fractions); Paws and Pyramids (perimeter/area/volume game); Word Problem Square Off Series; Touchdown Math
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 Gamelan  The Official Java Directory  EarthWeb, Inc.
Gamelan's primary mission is to serve as a central registry and directory of Java resources. Much like Yahoo!, Gamelan collects links to resources stored on other sites across the Web. However, unlike Yahoo!, Gamelan's mission is specific  Gamelan collects
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 The Game of Chaos  Juergen Giesen
This applet performs the following game at varying speeds: Choose a random starting point (o) within the triangle ABC. Roll a die. Connect the point with point A, when you roll 1 or 2; with point B, when you roll 3 or 4; with point C, when you roll 5
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 The Game of Go  JeanClaude Chetrit
A page for Go players interested in mathematics or abstract reasoning. How many static positions exist and how many are legal? This is purely an exercise in counting (combinatorics). See also Chetrit's conjectures about playing Go on a 2 by 2 board and
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 The Game of Life: (Serendip: Complex Systems)  Bryn Mawr College
Order without a planner: play a Java game about a world consisting of locations that may or may not be occupied by life. At each step, life persists in any location where it is also present in two or three of the eight neighboring locations, and otherwise
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 The Game of Nim Explained  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of the famous game, with a theoretical explanation and extension to other similar games: see also similar Java games: Nimble, Northcott's game, Plainim, the Scoring game, and Turning Turtles.
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 A Game of Numbers  Joseph Michels
This puzzle game for Windows, Mac, or Linux requires math and logic skills to solve increasingly difficult challenges  from basic math operations to divisibility, algebra, functions, and more. The builtin editor also lets players create their own levels,
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 gamepuzzles: for the joy of thinking  Kadon Enterprises, Inc.
Board games and the like: Combinatorial puzzles, tessellations, math manipulatives for all grades. Handson sets and some online exemplars of polyominoes, polyforms, color tilings. Source for classics like Archimedes' Square (Stomachion), Penrose tiles,
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 Games2Learn
Vendor of educational games, software, and activities for both parents and teachers. The site may be searched by category (Math, Spatial Learning, Science and Tech, etc.), grade level, game type, or personality profile (Planner, Peacekeeper, Producer,
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