 FIRST STEP Online  Charles Onstad, Director
The Federal laboratories' Involvement in Research in Science and Technology for Science Teacher Enhancement (FIRST STEP) combined the expertise of research scientists and science teachers to bring actual research into middle school classrooms. Lessons
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 First Year Suggestions  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: Can you give me some helpful suggestions for getting through my first year of teaching?
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 Fit Brains Brain Games  Vivity Labs, Inc.
Fit Brains offers games to improve your brain health. Free registration required.
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 The Five Percent Solution  Keith Devlin (Devlin's Angle)
"Mathematical disciplines such as statistics, optimization theory, probability theory, queuing theory, control theory, game theory, and operations research are all used routinely in making difficult choices in public policy, health, business, manufacturing,
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 FiveThirtyEight  Nate Silver, Editor in Chief
Quantitative features, interactives, and "datalabs" on politics, economics, sports, and other topics by Silver, Carl Bialik, and others. Science posts have included "How Statisticians Could Help Find That Missing Plane," "Toilet Seat Covers: To Use or
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 Five Triangles mathematics blog
This blog, which dates back to April, 2012, posts problems for middle and junior high school students. Topics have ranged from ratios and fractions to area and paths to quadratic equations and linear equations.
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 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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 Flashcards (A+ Math)
Java and nonJava homeworkhelper flashcards for practicing: Java (with answers and with or without sound): addition, subtraction, multiplication, division, square roots, and rounding; nonJava: addition, subtraction, multiplication, division, order of
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 Flashcards for Kids  Education 4 Kids, Inc.
This customizable online application creates flashcards for drilling in addition, subtraction, multiplication, division, and addition and subtraction together, in simple or complex forms (only two numbers, or up to ten numbers), with choice of numbers
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 Flashcards & Worksheets  Math Forum, Ask Dr. Math Common Question
A short selection of sites that provide flashcards and worksheets for practicing basic operations and more.
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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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 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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 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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 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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 Focus on Student Practice  Suzanne Alejandre
Article about how students worked on the Problem of the Week (PoW) "Wooden Legs" in a way that developed the Common Core State Standards (CCSS) Mathematical Practice of "making sense of problems and persevering in solving them." This article, originally
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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 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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 FoldPlay
Upload your photographs, print them out in FoldPlay's templates, then fold them into hex kaleidocycles, oct kaleidocycles, invertible cubes, and foldbooks. Also, instructions for folding nerdcatchers, sphericon pies, polygon puzzles, and other origami.
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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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 Football World Cup Simulation  Alan Parr, NRICH Maths
A dice game for students, simulating World Cup football (U.S.: soccer) play results, with varying degrees of complexity.
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 Forming, Measuring and Labeling Angles (SMILE)  Essie Lee May, May Community Academy
A geometry lesson designed to teach students to form, measure, and label angles. From the Geometry and Measurement 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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 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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 for the love of learning  Joe Bower
"Assessment is not a spreadsheet — it's a conversation." Describing his early teaching practice as "focused on power and control," Bower has followed three principles since 2004: "students should experience their successes and failures not as reward
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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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 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 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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 Four Corners, Four Faces (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
To Arthur Silverman, a sculptor in New Orleans, tetrahedrons, or triangular pyramids, are very special. He's been creating sculptures based on the tetrahedron for more than 20 years. You might see examples on display in plazas and office buildings in
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 The Four Learning Styles in the DVC Survey  Suzanne Miller, Diablo Valley College
Descriptions of and strategies for four learning styles: visual/verbal, visual/nonverbal, tactile/kinesthetic, and auditory/verbal style. With tips for studying mathematics and a link to the Learning Styles Survey online.
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 The Four Seasons  KRT  Kentucky Connect
Pages on Understanding Equinox and Solstice, and The Changing Seasons.
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 The Four Types of Symmetry in the Plane  Susan Addington
Rotation, translation, reflection, and glide reflection, with illustrations and problems for consideration. Written by Dr. Susan Addington for the California Math Show; presented on the Web by Suzanne Alejandre as part of her Tessellation Tutorials.
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 Fractal Alhambra  Philip Northover
Galleries of fractal art, in an array of sizes and colors. Fractal prints for sale, and MP3s of fractal music.
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 Fractal Art: Fractals produced with FRACTINT  Balraj Mehmi
A fractal art gallery containing fractals produced with the shareware program FRACTINT (downloadable from the site), with links to other sites with fractal pictures and to information on fractals and their origin.
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 Fractal Art Gallery  Fractal Image Wallpaper  Victoria B Brago
Extensive collection of fractal images which can be downloaded as desktop
wallpaper, technical explanation of fractal geometry, animated fractal
zooms.
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 A Fractal Art Gallery  Ken Keller
Exploring the boundary between creation and discovery  galleries of fractal images.
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 Fractal Arts  Doug Harrington
View the gallery of fractal images and "Fractal of the Week"; investigate the tutorials for TieraZon, a freeware fractal graphics program by Stephen Ferguson; download fractal screensavers (shareware); consider ordering prints of fractal images.
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 Fractal Dimension Calculator (FDC) User Manual  Paul Bourke
FDC takes a black and white image in the form of a Macintosh PICT file or clipboard contents and uses the boxcounting algorithm to estimate the fractal dimension of the object represented in the image. The "object" is assumed to be the black part of
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 Fractal Dimension  Robert L. Devaney; Dept. of Mathematics, Boston University
A section from the paper "Chaos in the Classroom," describing the concept of fractal dimension, using the Sierpinski triangle as an example.
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 frActAles  Philippe de Courcy
450 fractal images, sorted into categories. Site is available in English and French.
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