 Flags  Jim Croft
Links to information about and images of flags of the world: National Flags, International Maritime Signal Flags, Motor Racing Flags, the Semaphore Flag Signaling System, and others, good for exploring symmetry in flag design.
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 Flash Demos for Understanding Statistics  G. Donald Allen, Texas A&M University
Dynamic demonstrations to help foster an understanding of the graphing and variance for data sets. Create a histogram and show the variance; show the mean, variance, and correlation of selfselected data points; understand variance by creating data sets;
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 Flash Games  ATK Solutions, Inc.
Flash applets and games include rotating 3d cube; mind boggle square, which challenges you to slide a square across a surface by sliding other quadrilaterals into the unoccupied spaces; Futoshiki, which involves positioning counting numbers on a grid
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 Flatland: A romance of many dimensions  Edwin A. Abbott
A geometrical story about a twodimensional square who visits one and threedimensional worlds. Full text of the 2nd and revised edition, illustrated, 1884.
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 Flatland: the Movie  Flat World Productions, LLC
This movie, available in DVD format, is based on Edwin A. Abbott's classic novel, Flatland: A Romance of Many Dimensions. Flatland is a world that exists entirely on a twodimensional plane. All different kinds of shapes live, work, and play in this world.
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 Flexagon  Magnus Enarsson
"A flexagon is a polygon folded from paper with a very remarkable quality: you can turn it inside out to make it reveal hidden surfaces." History, including the original discovery of the trihexaflexagon by Arthur H. Stone, as he folded strips of paper
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 Flexagon Re'flex'ions
Several possibly new trihexaflexagon phenomena are presented, with a wide spectrum of findings including explorations with magic squares, palindromes, and much more.
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 Flexagons  Conrad, Hartline
Introduction: The story of the Flexagon; Building and Operating the Flexagon; The Covering Space Representation of Flexagon Operation.
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 Flight of the Bumblebee  Ivars Peterson (MathLand)
How did proving that a bumblebee can't fly originate? Who started the story? It apparently first surfaced in Germany in the 1930s, and the story was about a prominent Swiss aerodynamicist. One evening, the researcher happened to be talking to a biologist
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 Flip Flop Fly Ball  Craig Robinson
"A love of baseball plus a love of visual representations equals Flip Flop Fly Ball." Robinson's infographics include Diamonds in Manhattan, a map of every baseball or softball diamond on the island of Manhattan; Baserunning, which puts into perspective
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 flippedmath.com  Bean, Spencer; Kelly, Timothy; Brust, Michael; and Sullivan, Corey
These free Algebra, Algebra 2, and Geometry online courses for "flipped" classrooms offer video lessons, practice, application, and mastery check. Teachers for Department of Defense Education Activity (DoDEA) schools, "Algebros" Bean, Kelly, Brust, and
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 Flooble :: Perplexus  Lev Epshteyn
A searchable, categorized collection of all sorts of puzzles, from simple logic questions and word tricks to indepth math problems in probability and geometry. Users can talk to one another and collaborate on solutions, as well as post their own problems
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 Florida EXPLORES!
Brings the NOAA Direct Readout Satellite Ground Station Program into Florida's K12 Classrooms. Precipitation summary, Atlantic hurricane season, satellite imagery, weather observations and model products, Data Center, teacher resource guide, GOES8 status
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 Florida Museum of Natural History (FLMNH)  Gainesville, FL, USA
The largest natural history museum in the southern United States, holding more than 16,000,000 specimens of mammals, birds, reptiles, amphibians, fishes, mollusks, butterflies, vertebrate and invertebrate fossils, recent and fossil plants, and associated
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 FlowingData  Nathan Yau
FlowingData explores how designers, statisticians, and computer scientists use data to understand ourselves better  mainly through data visualization. This blog, by a PhD candidate in statistics with a background in computer science and design, dates
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 FlyBase: A Database of the Drosophila Genome  Berkeley & European Drosophila Genome Projects
A searchable database of maps, genes, transposons, aberrations, stocks; genome projects, references, people, and images (body parts).
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 Flying Between Two Trains  Math Forum, Ask Dr. Math FAQ
Two trains 150 miles apart travel toward each other along the same track, the first train at 60 mph, the second at 90 mph. A fly buzzes back and forth between the two trains until they collide. If the fly's speed is 120mph, how far will it travel?
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 Flying Colours Maths  Colin Beveridge
Maths tutoring services by the author of Basic Maths for Dummies, Numeracy Tests for Dummies, and The Little Algebra Book: technical writing, "bespoke Excel solutions," project feedback, and "translating maths into less complex English." Blog posts, which
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 fMath: Mathematics on Web  Ionel Alexandru
fMath is a free Flash and Javascript library for displaying mathematics on the web: display equations in your site, edit the equations online, display graphs in your site.
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 Focus in High School Mathematics: Reasoning and Sense Making  National Council of Teachers of Mathematics (NCTM)
A conceptual framework to guide the development of future publications and tools related to 9–12 mathematics curriculum and instruction, this series highlights reasoning opportunities in five specific content areas of the high school mathematics curriculum:
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 Focus on Calculus  John Wiley & Sons, Harvard University
A newsletter for the Calculus Consortium based at Harvard University, from John Wiley & Sons College, publisher. Sample articles, conference announcements, new and forthcoming textbooks.
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 Focus on Mathematics  Department of Mathematics and Statistics, Boston University
Focus on Mathematics (FoM) seeks to "improve student achievement by providing mathematics teachers with the content knowledge and skills valuable in their profession." FoM programs have included math expos and math fairs of student research projects;
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 "F.O.I.L.: Keepin' Algebra Fresh" TShirt  Shamplade.com
Need some help with the distributive property? This is a great Tshirt that demonstrates FOIL in a "hip" way. Purchase with PayPal.
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 Fold Everything  National Geographic Society
See how paperfolding inspires the design of aircraft, stent grafts, and the packaging and transportation of telescope lenses in this overview of the history and future of origami. With downloadable instructions for folding a peacock, as well as an online
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 Folding and Unfolding  Eric Demaine
A series of pages detailing research and findings in origami, including: fold and cut, folding silhouettes and wrapping polyhedra, map folding, unfolding polyhedra, folding polygons into polytopes, linkages, protein folding, hinged dissections, hyperbolic
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 Folding Maps  Ivars Peterson (MathTrek)
Erik D. Demaine of the computer science department at the University of Waterloo
in Ontario and his coworkers have developed an efficient method for recognizing when a creased sheet is foldable into a flat package (results are reported in an unpublished
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 Folding Paper in Half 12 Times  The Historical Society of Pomona Valley
In 2001, a high school junior from California successfully folded a single sheet of paper in half 12 times, dispelling the longheld conventional wisdom of 7 folds as the maximum. See the limiting equation for single and alternate direction folding that
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 FOLDOC: Free Online Dictionary of Computing  Denis Howe
A searchable dictionary of acronyms, jargon, programming languages, tools, architectures, operating systems, networking, theory, mathematics, telecoms, institutions, companies, projects, products, history, in fact anything to do with computing  and broad
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 Following Benford's Law, or Looking Out for No.1  Malcolm W. Browne; The New York Times Company
An article from the New York Times on the Web: Dr. Theodore P. Hill asks his mathematics students at the Georgia Institute of Technology to go home and either flip a coin 200 times and record the results, or merely pretend to flip a coin and fake 200
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 Food Counts (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
You tear open a package of M&M's chocolate candies. Fiftyseven little candies spill out. You notice that certain colors are more common than others. You might count 7 brown, 17 red, 18 yellow, 6 green, 5 orange, and 4 blue candies in this bag. Does
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 Forecasting Principles  J. Scott Armstrong and Fred Collopy
A guide designed to summarize useful knowledge about forecasting as principles (guidelines, prescription, rules, conditions, action statements, or advice) about what to do in given situations. The principles apply to management, operations research, and
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 Forget 'Back to Basics.' It's Time for 'Forward to (the New) Basics.'  Keith Devlin (Devlin's Angle)
What is the best way to prepare our children for life in the twentyfirst century? The first thing to realize is that the nation needs only 3 or 4 percent of the population to be highly skilled in mathematics. Of the remainder, hardly any will ever need
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 Formula Database  students at the University of WisconsinMadison
FormulaDatabase is a free webbased math and physics equation search engine. It is an open collaborative project like a wiki, which will allow anyone to add and edit its content.
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 Formula Determination (SMILE)  Clark Odom, Collins High School
A lesson designed to teach students to determine the number of degrees in any convex polygon. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 A Formula for C(n,k)  Jay's Corner
We would like to obtain a formula to calculate C(n,k) without writing down Pascal's triangle (although, to be honest, it is generally faster to write down Pascal's triangle than it is to use this formula, especially if you need a number of these binomial
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 Formulas for fairness  Ivars Peterson  Science News Online
Applying the math of cake cutting to conflict resolution: researchers turn to the mathematics of cake cutting and point allocation to develop improved methods for people to use to settle disputes.
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 Formula Sheet  Timothy Setterfield
Formula Sheet gets images of formulae or copies them to LaTeX or Microsoft Word, and lets you upload, organize, share, render, and store them all in one place.
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 Formulas  Math Forum; Ask Dr. Math FAQ
Formulas for: Defining Geometric Figures (plane and solid figures, and a note on dimensions); Geometric Formulas (two and threedimensional figures: perimeter, area, volume, etc.); Analytic Geometry Formulas (one, two, and three dimensions: points, directions,
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 for the learning of mathematics  FLM Publishing Association
for the learning of mathematics aims to stimulate reflection on mathematics education at all levels, and promote study of its practices and its theories: to generate productive discussion; to encourage enquiry and research; to promote criticism and evaluation
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 Forum Geometricorum  Paul Yiu, Editor; Department of Mathematical Sciences, Florida Atlantic University
A journal on classical Euclidean geometry and related areas. The goal is to bring to a wide, international readership the beauty, elegance, and
usefulness of elementary geometry, in research and in teaching. The journal focuses on concrete but challenging
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 Forum of Geometric Constructor  Yasuyuki Iijima, Aichi University of Education, Japan
A dynamic geometry environment for DOS and Windows used in Japan  see the Tsukuba Journal of Educational Study in Mathematics.
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 Foundation for Advancements in Science and Education
Since its inception, the mission of this independent nonprofit public charity has "evolved continuously, encompassing challenging new issues and exploring innovative applications of information technology." In particular, FASE sells The Eddie Files,
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 Foundations of Greek Geometry  Michael Tirabassi; Tufts University
A linked historical essay outlining the contributions of Thales, Pythagoras, and Plato to the study of geometry.
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 Four 4's Puzzle  Ruth Carver, Math Forum
For students in grades 312 with a general knowledge of mathematics. Using four 4's and any operations, try to write equations that have the numbers from 0 to 100 as the answer. The answer for each number and the name of the first person to get it are
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 FourColor Map Theorem  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about the fourcolor map theorem, such as explanations, proofs, and extensions to higher dimensions and to the mobius strip.
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 Four Colors Suffice: How the Map Problem Was Solved  Robin Wilson; Princeton University Press
"On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in historyone that would confound thousands of puzzlers for more than a century. This is the
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 Four Color Theorem Intro  Jim Loy
This is a brief introduction to the Four Color Theorem, and the general problem of coloring graphs.
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 The Four Color Theorem  Robertson, Sanders, Seymour, Thomas; Georgia Tech
A brief summary of a new proof of the Four Color Theorem, with a fourcoloring algorithm found by Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas, illustrated using a map of the United States. Contents: History; Why a new proof?; Outline
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 The Four Colour Theorem  MacTutor Math History Archives
Linked essay describing work on the theorem from its posing in 1852 through its solution in 1976, with two other web sites and 9 references (books/articles).
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 Four Construction Problems  Cut the Knot!, Alexander Bogomolny
Construct a triangle, given the three points in the plane that are the outer vertices of equilateral triangles constructed outward on the sides of the desired triangle. Construct a triangle, given the three points in the plane that are the centers of
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