 Explore Patterns in Pascal's Triangle  Jeremy Baer
In 1653, a French mathematician named Blaise Pascal described a triangular arrangement of numbers corresponding to the probabilities involved in flipping coins, or the number of ways to choose n objects from a group of m indistinguishable objects. It
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 Exploring Emergence  Resnick, Silverman; Epistemology and Learning Group, Massachusetts Institute of Technology (MIT)
An active essay that uses Java applets to explore the idea of emergence, examining how objects and patterns can arise from simple interactions in ways that are surprising and counterintuitive. Examples with simple squares that turn on and off and give
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 Exploring Geometric Solids and Their Properties (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Investigating and then reasoning about the relationships within and between threedimensional shapes is important for students in grades 35 as they continue to develop understanding about geometry
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 Exploring Histograms (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. A histogram is a standard way of representing a collection of data. The interactive tool contained in this iMath investigation allows students to create their own sets of data and examine how various
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 Exploring Parabolas (JavaSketchpad) (MSTE)  James P. Dildine; University of Illinois at UrbanaChampaign (UIUC)
Directions and descriptions for creating and simulating the creation of a parabola. The creation takes place within a Java Window in the browser and allows the user to interact with the sketch of a parabola he or she creates. The page includes tips and
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 The Eyeballing Game  Matthias Wandel
Test your ability to "eye up" geometric figures with this timed Flash challenge. First consult the help documentation to correctly calibrate your monitor resolution and aspect ratio; then click and drag the blue ray or point to accurately construct the
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 Eye Opener Series  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of Java applets that illustrate and thus help to solve or prove various math problems: Euclid's Proof of the Pythagorean Theorem; Construction problem; Disappearing Lines puzzle; Sam Loyd's fifteen; Sliders puzzle; Lucky 7 puzzle; Happy 8
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 FactMonster: 2006 Winter Olympics  FactMonster.com; the Learning Network
The Fact Monster site, created as part of Information Please from Pearson Education, offers a variety of interesting links for the Winter Olympics in Torino, Italy, taking place February 10  26. The site includes olympic history, sports previews, a timeline,
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 FactMonster: Math  FactMonster.com; the Learning Network
Almanac of information on numbers, measurement, tables and formulas, and money; with special features and online games and quizzes.
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 Factoids  Susan Stepney
An "uneven collection of facts, quotations, and other miscellaneous scraps, that don't naturally fit anywhere else," listed alphabetically from abstract data type to zeldagon and zeugma, including figures of speech, inheritance (in classes), laws, prime
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 The Factor Game (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through
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 Factorization using the Elliptic Curve Method  Dario Alejandro Alpern
A Java applet that factors numbers up to 1000 digits long, outputting their number of divisors, sum of divisors, Euler's totient, Moebius number, and sum of squares. Also accepts numerical expressions.
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 Fagnano's Problem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An interactive discussion of H. A. Schwarz's and L. Fejér's solutions to Fagnano's problem: inscribe in a given acuteangle triangle the triangle of a minimum perimeter.
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 Fahrenheit to Celsius  Jim Loy
Ways to convert: two equations, two unknowns.
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 The Fair Division Calculator  Francis Su
An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable).
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 Famdays
A famday is a day on which the combined ages of family members add up to a whole number of years  in a sense, a family birthday, a reason for a celebration that contributes to strengthening family ties. Students can compute famdays for their families
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 Famous Curves Applet Index  MacTutor Math History Archive
From Astroid, Cardiod, Catenary, and Cayley's Sextic to the Trisectrix of Maclaurin, Tschirnhaus' Cubic, Watt's Curve, the Witch of Agnesi  and many more  click on the name of a curve to experiment with some of its associated curves.
(Your browser
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 Famous Curves Index  MacTutor Math History Archive
Links to pages illustrating more than 60 mathematical curves, with information on their history and associated curves. Anyone with the Mathematical MacTutor system or a Javaenabled browser can investigate these curves and their associated curves interactively.
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 FanGraphs
Major and minor league baseball statistics and analysis, including graphs, splits, game logs, play logs, spray charts, plate discipline, PITCHf/x, strike zone heat maps, and more for every ballplayer and team.
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 Fantastic Fractals  ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself  how much have you learned
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 Fantasy Stock Market Game  Young Money Magazine
Students invest $10,000 in "fantasy" cash and compete against other students to build an investing portfolio. Game is free with free web site signup, contests run for 30 days and for each period an investor starter kit is awarded to the top player, plus
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 Farmer and Wife to Catch Rooster and Hen: Sam Loyd's Puzzle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An entertaining Java implementation of a puzzle by Sam Loyd. A farmer and his wife try to catch a hen and a rooster. A good exercise in taxicab geometry.
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 Fast Arithmetic Tips  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Specific tips for three broad categories of rapid math: offensive (for the purpose of getting a result fast), defensive (for the purpose of discounting a result fast), or entertaining (for stunning your friends with math magic!). The entertaining category
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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 Marching Methods and Level Set Methods  J. A. Sethian, University of CaliforniaBerkeley
Fast Marching Methods and Level Set Methods are numerical techniques that can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including
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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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 fbWebTutor: Online Nachhilfe in Mathematik  fbWebTutor
Download video tutorials on mathematics, information and book reviewsall in German.
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 Fermat's room  Javier Martín
Solve puzzles playing this Java math adventure game, also available in Spanish. Based on a film by the same name.
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 FFT Spectrum Analyser Demo applet  Iain Robin
A Java applet that demonstrates the use of the Fast Fourier Transform (FFT) to determine the frequency spectrum of a discrete signal (time series).
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 Fido Dido Puzzle  Digital Creative Communications
"Want to let me read your mind?" A Flash game in which Fido Dido asks you for clues as he figures out the random number you have chosen.
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 Figure Five Frenzy  ridiculopathy.com
Create an arithmetic expression equal to the target number using the four basic operations, grouping parentheses, and the five number cards dealt to you. Play in arcade (against a timer), multiplayer, or solitaire modes. Requires the Flash plugin.
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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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 Filmer V2.0  A program for creating fractal animation  Julian Haight
Filmer is a frontend program for Fractint (for DOS/Windows) that generates fractal animations. Fractint is a program for calculating still fractal images (you need Fractint installed to use Filmer). Filmer uses Fractint parameter (.par) files to specify
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 Financial Calculators  Fair Isaac Corporation
Calculators to help you make decisions about borrowing money, debt pay off and savings; organized into mortgages, autos, loans, debit and credit cards, savings, personal finances, investments, and retirement planning. For example, use the loan savings
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 Finanzierungsrechner
Online calculation tools to perform financial calculations such as IRR, NPV, and annual interest rates.
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 Find the Prime Factors of a Number  Washington University Mathematics Dept., St. Louis, MO
A prime number is any number with no divisors other than itself and 1, such as 2 and 11. Any number can be written as a product of prime numbers in a unique way (except for the order). Enter a number (with a maximum of 9 digits), and the form will return
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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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 Fixedpoint arithmetic: multiplication  Paul Molitor; Universitat Hälle
A collection of Java applets, each showing a different method of fixedpoint multiplication: Binary representation, the Schoolmethod, Booth's algorithm, and Parallel multiplication, written for a course in Computer Science ('Computer Arithmetic'). After
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 Flash Activities  Quincy Brown
Quincy Brown, a Post Baccalaureate PhD candidate in Computer Science at Drexel University, shares these Flash Activities that she developed with Annie Fetter, Math Forum staffer, and tested in a second grade classroom in Philadelphia. The five levels
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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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 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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 Flash Pegs  CleverMedia
Jump a peg over its adjacent neighbors to eliminate them until only one remains in this online version of the classic logic puzzle. Choose from nine starting configurations. Requires the Flash plugin.
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 FloatingPoint Number Tutorial  Joseph L. Zachary
A tutorial designed to help you understand the significance of mantissa size and exponent range and the meaning of underflow, overflow, and roundoff error. Includes a Java applet in a separate window for use alongside the tutorial. From a Computer Science
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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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 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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 Forest Path  Maths  Vern Beaumont
Timed JavaScript practice activities in the four operations plus a number sequencing activity.
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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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