 Fascinating Flat Facts about Phi  Ron Knott
Phi and twodimensional geometry  constructing the golden section: phi, Phi; Phi and the root5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry
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 Fascinating Folds: Origami
A premier supplier for Origami and the Paper Arts with books, papers, and related products. Online ordering of supplies is available. Origami and Paper Products for sale include books, papers, videos, CDs, related products (cards, bookmarks, tshirts),
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 FasterThanLight Math!
Free animated 3D math videos in algebra, geometry, trigonometry, word problems on related rates, and more. FasterThanLight (FTL) Math tailors courses or tutoring sequences based on student needs and math skill levels. It guarantees improvements on SAT
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 Fast Facts (Math On Line)  D. Kell; Mercer County Community College
Link listings for math concepts, from whole numbers and fractions to advanced equations, logic, and probability.
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 A Faulty Dissection  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A deceptive dissection implemented in Java. Two different rearrangements of the same four plane pieces result in rectangles of different area. A very entertaining introduction into the subject of Fibonacci numbers.
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 Ferris Wheel  Jim King, University of Washington
Physical devices can be modeled using dynamic geometry. A vital tool for moving objects around in the model are the isometries, or distancepreserving transformations. This model of a Ferris wheel provides a good example. A stepbystep description of
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 Fibonacci Numbers and the Golden Section  Ron Knott
Information about the Fibonacci series, including a brief biography of Fibonacci, the numerical properties of the series, and the ways it is manifested in nature. Fibonacci numbers are closely related to the golden ratio (also known as the golden mean,
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 Figure This! Math Challenges for Families  National Council of Teachers of Mathematics (NCTM)
Elementarylevel problems with hints, information about when and why answers matter in the real world, suggestions for getting started, and answers with explanations. A Challenge Index lists problems by topic. Examples include: Line Up! (How long do you
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 FillItIn Outline Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of outline solutions to various problems: word and logic problems, problems from arithmetic, number theory and geometry. Solutions are practically complete with a few essential pieces omitted and to be filled in by the student.
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 Finding Ways to Nguyen Students Over  Fawn Nguyen
Nguyen blogs mostly about her teaching middle school math. Posts, which date back to November, 2011, have included "Teaching 101  How I Got Like This," "Puzzles and Brainteasers, Set 11," "Pi Day Activities," "Always Sometimes Never," "Using Excel for
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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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 Five Twelve Thirteen  Dylan Kane
Blog by an eighth grade math teacher in Boston. Posts, which date back to October, 2012, have included "Assessment & Rigor," "Pythagorean Triples Function," "Construct Viable Arguments and Critique the Reasoning of Others," "Guatemalan Sinkhole," "Problem
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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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 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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 Flight Angles Of Inclination (SMILE)  Marie C. Smith, Anthony Overton Elementary School
A lesson designed to teach students to observe the flight of a glider; measure the distance flown from a given point; analyze the effect of a change of angle of inclination on the launch/flight of slinglaunched gliders; collect data on distance flown
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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 Math
Online math community for teachers in kindergarten through 5th grade.
FloridaMath.com lists the expectations for each grade. The heart of the
site is the forum where teachers share their teaching ideas.
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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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 Following Learning  Simon Gregg
Blog by a primary teacher at the International School of Toulouse (France). Posts, which date back to October, 2013, have included "playground prime numbers"; "Numbers that reconcile"; "Intuition and slow thinking"; "Popup cuboids"; "The Prisoners' Dilemma";
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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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 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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 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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 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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 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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 Fractals in Science: Simulations  Center for Polymer Studies, Boston University
Handson activities, laboratory experiments, and interactive visualization programs that encourage students to explore how fundamentally random microscopic events can give rise to fractal macroscopic patterns. An image gallery and fractal related software
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 fractionfanatic  Julie Morgan
Blog by an Australian who has taught high school maths in the Scottish Borders since 2004. Posts, which date back to December, 2015, have included "Learning Intentions and PPPB (Pose Pause Pounce Bounce)," "#MTBoS12days Moment that challenged me," "Quadratics
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 Freakonometrics  Arthur Charpentier
Blog by a Montreal professor of actuarial science "addicted to R." Posts, which date back to March, 2007, have included "Dynamic dependence ordering for Archimedean copulas and distorted copulas," "Pricing catastrophe options in incomplete markets," "Estimation
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 Free Math Resources  Varsity Tutors
Free math questions of the day, flashcards, more than a hundred diagnostic tests, and thousands of practice tests. A private tutoring service, Varsity Tutors also offers practice for standardized tests such as ACT, SAT, GRE, GMAT, LSAT, MCAT, ISEE, and
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 Free Math Tutoring  Doug Simms
Online instructional videos, many accompanied by example and exercise sheets. Use of the site is free.
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 Free Math Worksheets, Word Problems, Math Quiz, Math Puzzles and Free Math Games  MathOcean.com
This blog is dedicated to provide free worksheets, word problems, simple problems, story problems, math quizzes, math puzzles, math games and much more.
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 Free Puzzles  Jimmie Dean
A collection of puzzles and brainteasers, divided into geometry, logic, math, weight, moves, and miscellaneous. Each puzzle includes a hint, and solutions are available through email. Online games and puzzles include a chess knight game and Hangman.
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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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 Fuel the Brain  Dynamics of Design
Educational games, interactives, printables, teacher guides, articles and tutorials, and seasonal resources. The "inevitable" product of an elementary teacher and her graphic/web designer spouse, Fuel the Brain's most popular Flash games include Jelly
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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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 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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 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 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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 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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 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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 Games Conceived  Leroy Quet
Quet's blog, begun in September, 2008, describes his "simple games," which include Triangle Grid Of Coprimality; LineSegments In Circle; Turn It Around  Multiply/Add Grid; Up And Up, Grid Solitaire; Vertex/Intersection Polygon Game; Diagonal/Straight:
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 The Garden of Archimedes
Calendar of tours, publications, and more from Florence's museum of mathematics. See, in particular, the exhibitions of Il Giardino di Archimede, such as "Beyond compasses," on the geometry of curves; "Pythagoras and his theorem," a series of puzzles
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 Gateways to Advanced Mathematical Thinking (GAMT)  Michelle Manes; Education Development Center, Inc. (EDC)
The goal of this project is to research the ways in which high school and college mathematics students come to acquire flexible understandings of essential concepts needed for analytic and algebraic thinking. Integral to this research effort is the development
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 gealgerobophysiculus  Evan Weinberg
Thoughts on teaching, learning, and "the crazy process of having fun doing both with students." Posts, which date back to September, 2011, have included "How China Keeps Me Learning: Part I," "Lens Ray Tracing in Geogebra," "Take Time to Tech – Perspectives
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 GEM: Gateway to Educational Materials  National Library of Education (NLE)
A database for education links, intended to be more useful for teachers than a search engine. It records the resources of its consortium members (information on joining the consortium is available onsite). Users are able to: browse through lists organized
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 General Mathematics, AM (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
Short articles on basic mathematics, including biographical information about mathematicians, from the abacus to Gaspard Monge.
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