 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Geometer's Sketchpad  Jeremy Bartusch, revised by Tony Peressini and Tom Anderson
An interactive tutorial on how to use the Geometer's SketchPad software, and an introduction to how this application can be used to teach geometry and to produce classroom resources with plane geometry components. Sponsored by the University of Illinois
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 US Third in Math Olympiad (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: a small creature needs to find its way from a random point on an milewide strip of land to the sea on either side, by going distance r in a random direction and then (if it has not yet found the water), turning once t degrees
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 U Substitution  Technical Tutoring
The site describes the substitution method for solving integral problems by means of numerous examples and exercises.
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 U.S. Universities & Community Colleges  University of Texas at Austin
Universities and community colleges with Web sites in the United States, alphabetically or by state. A form is available for you to add an item.
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 The Valuation Theory Home Page  FranzViktor Kuhlmann
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. The home page offers: information about conferences and special events; names and email addresses of mathematicians working
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 Vancouver Math Tutor  Vlad
Tutoring services for the Vancouver, B.C. (Canada) area; articles on tutoring; and algebra and probability materials used in tutoring.
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 Variable Force and Mass: Rocket Liftoff  Boyd Gatlin, Mississippi State University
The liftoff and flight of a rocket is a physical phenomenon. But in order to analyze the process, or to predict future rocket flights, we need to be able to model the process  or at least some simplified version of it  with mathematics. Actually, the
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 VassarStats Statistical Computation  Vassar College
Online Javascript programs on topics such as statistical tests, simulation, correlation and regression: procedures applicable to categorical frequency data; procedures applicable to proportions; procedures applicable to ordinal data; correlation and regression;
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 Vector Arithmetic Java Visualization  Vladimir Sorokin; University of Kentucky
An applet with which to visualize addition, substraction and scalar multiplication of vectors on the XY plane. This demonstration was created as part of the PHY211 Undergraduate Physics Laboratory Educational Page at the Department of Physics and Astronomy
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 Vector Calculus  Carlen, Herod, Harrell; Georgia Tech
Maple and Mathematicabased lecture notes; also class notes covering material throughout the course, including interactive Java applets. Mathematics addressed includes: iterated integrals; Theorem of Pappus; integration of polar coordinates; tangent
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 vector.calculus.net (calculus@internet)  Christopher A. Barker
Core topic and course syllabi and menus for Vector/Multivariable calculus dealing with the calculus of many dimensions, specializing in computer visualization and interaction. Threedimensional space geometry; Vector arithmetic and geometry; Derivatives
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 The Vector Cross Product: A JAVA Interactive Tutorial  McNamara, Middleton, Schiff; Dept. of Physics, Syracuse University
You will see a drawing in which the vector labeled c is calculated according to your specifications for the vectors a and b. You move these by clicking on their tips and dragging them around the plane with the mouse. You can also "spin the plane" by clicking
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 Vector field analyzer II  Matthias Kawski; Arizona State University
An applet for visualization of, and experimentation with, many aspects of vector calculus. These include zooming to see the derivative of a vector field (including divergence and scalar curl), visualizing the action of the (nonlinear and linearized) flow(s)
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 Vector Land: An Introduction to 3D Vector Analysis  Paul Kirby
An online course offering Java applets and 3D graphics to teach 3D vectors and related topics such as 3D graphics programming and Newtonian mechanics. Contents: 3D Vectors; The Dot Product; The Cross Product; the Vector Equation of a Line; The Vector
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 Vectormind.com
A resource library for various subjects ranging from mathematics, to science, to software programming, to Web page development. Each category is updated frequently; existing topics are also improved and updated.
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 Vectors & Trigonometry  Dave Mason
Problems: Converting from Polar to Cartesian Coordinates; Adding Vectors; Hexagon Inscribed in a Circle; The Earth Curving Away From You; Surveying with a Protractor.
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 VedicMaths.Org  Clive Middleton, Kenneth Williams, and Mark Gaskell
Learn about the ancient system of mathematics of the Vedas through interactive tutorials, research and teaching articles, recommended books and websites, a list of sutras translated from the original Sanskrit, a calendar of events, newsletter, and references
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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 VIAS Encyclopedia  Hans Lohninger, Virtual Institute of Applied Science
An online encyclopedia of science topics, with a Mathematics section as well as a German/English dictionary.
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 The Vibonacci Numbers (Computing Science)  Brian Hayes, American Scientist
A new mathematical constant, from a branch of the Fibonacci number family in which, instead of always adding two terms to produce the next term, you either add or subtract, depending on the flip of a coin at each stage in the calculation. Hayes writes,
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 Vibrating Drumhead  H. Edward Donley; Mathematics Department, Indiana University of PA
A set of Mathematica packages that outline solutions of the wave equation in various coordinates. The Wave Equation; Conversion to Polar Coordinates; Separation of Variables; The Differential Equation in r; The Differential Equation in t; Constructing
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 Videodiscovery
A publisher and distributor of innovative multimedia products for educators and families. Laserdiscs and CDROMs for the K12 and college market. Product offerings now include laserdiscs with accompanying software, as well as CDROMs for both the school
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 The Video Math Tutor  Luis Anthony Ast
The Video Math Tutor web site provides students from 7th grade through college with free and premium ($$$) math videos and printable notes created by a tutor with 23 years of tutoring experience. Topics covered include arithmetic and algebra. TI84 graphing
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 Video Mosaic Collaboration
"Watching students grow with math": this interactive collaboration portal integrates the Robert B. Davis Institute for Learning Video Collection (Rutgers University) — a video collection spanning two decades capturing mathematics learning experiences
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 Viewing Fourdimensional Objects in Three Dimensions  Barbara Hausmann; The Geometry Center
"Given that humans only visualize three dimensions, how is it possible to visualize four dimensional, or higher, objects? This question is the underlying idea of a short novel written over a hundred years ago by Edwin A. Abbot called Flatland. Flatland
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 ViewMath.com
Video explanations of single variable calculus. Register free for a demo, or sign up for a subscription by week or year.
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 Viewpoints  Dr. Annalisa Crannell, Franklin & Marshall College; and Marc Frantz, Indiana University  Bloomington
VIEWPOINTS is a series of workshops for college and high school instructors on the connections between mathematics and art, and the power of those connections to add interest and excitement to the presentation of either subject. Lessons available in PDF
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 Vignettes on automorphic forms, representations, Lfunctions, and number theory  Paul Garrett
Shoft downloadable "vignettes" in postscript format, and some with overviews in html. Also some vignettes on functional analysis.
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 Vi Hart  Vi Hart
Blog, videos of math "doodling," instructions for slicing food mathematically, and more from the selfdescribed recreational mathemusician who considers math a hobby, with "special interests in symmetry, polyhedra, and surreal complexity. This usually
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 A Viral Dilemma  Ivars Peterson (MathTrek)
An article that discusses how, in effect, a virus is caught up in a version of the prisoners' dilemma, a widely studied game in which acting for individual advantage clashes with acting for the collective benefit. Game theorists devised the prisoners'
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 Viral shell game  Ivars Peterson  Science News Online
The success of a virus in infecting its host depends largely on how well its outer coat functions. Made up of protein building blocks, this tightly closed shell usually has a geometric structure... Mathematical research suggests that sets of simple rules,
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 Virtual Algebra Center  City College, CUNY
The home of the World Wide Algebra project. This international megaproject has several principal parts, including Algebraic Cryptography, The World of Groups, and The World of Polynomials. These include lists of open problems, conferences and seminars,
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 Virtual Computer Library (VCL)  Christine M. Henke, ACITS, University of Texas at Austin
Links to information sources regarding computers and computing. Academic Computing Centers; Book Reviews; Computer Technology; Conferences; Documentation; FAQs; Internet Information; Journals/Magazines; News/Press Releases; Nonprofit/Government Organizations;
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 Virtual Laboratories in Probability and Statistics  Kyle Siegrist; Dept. of Mathematical Sciences, Univ. of AlabamaHuntsville
Interactive, Webbased modules for students and teachers of probability and statistics. Experiments are written in Java. Contents include: special models (Buffon's experiments, card experiments, Bernoulli trials, the ball and urn experiment, the matching
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 The Virtual Mathematics Center  Martindale's Graduate & Undergraduate Center
Preprints and online journals from a wide variety of math and science organizations; Online math dictionaries and encylopedias; mathematics courses, tutorials and databases; courses by subject; related mathematics information and databases.
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 Virtual Math Museum  Richard Palais
A virtual "mathematical museum" being developed and improved by an international group of mathematicians called the 3DXM Consortium (the same group responsible for the development of the 3DXplorMath mathematical visualization program). Topics include
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 Virtual Math Tutor
A new problem just about every day since October, 2010, with discussion and hints to follow.
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 Virtual Polyhedra  George W. Hart
A growing collection of over 1000 virtual reality polyhedra to explore, complementing Hart's Pavilion of Polyhedreality. Includes instructions for building paper models of polyhedra including modular origami, with ideas for classroom use. Each of the
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 A Virtual SpaceTime Travel Machine  JeanFrançois Colonna, École Polytechnique
Still Pictures and MPEG Animations (Images Fixes et Animations MPEG): Art and Science, Artistic Creation, Astrophysics, Celestial Mechanics, Deterministic Chaos, Deterministic Fractal Geometry, Fluid Mechanics, From the Infinitely Small to the Infinitely
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 Virtual Training Suite: Mathematics  TutorPro
A stepbystep tutorial covering information skills for the mathematics Internet environment. Learn how to use the Internet to help with coursework, literature searching, teaching, or research.
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 Virtual Trips to Black Holes and Neutron Stars  Robert Nemiroff
A published paper understandable to undergraduates: "Visual Distortions Near a Black Hole and Neutron Star," Nemiroff, R. J. 1993, American Journal of Physics, 61, 619. Gravitational Principles and Mathematics; General Description of Visual Distortion
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 Visia Math  Joël Gauvain
Software in French for graphical representations. Un didacticiel de mathématiques pour lycée ou collège. Vous pouvez en télécharger une version shareware ainsi que des fiches de travail pour les élèves.
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 Visible Euclidean Algorithm: finding greatest common divisors  Paul Garrett
Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
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 Visions Of Chaos  Jason
A Windows application that generates fractals, cellular automata, attractors and other chaos simulations. Supports 2D images, 3D images and AVI movie creation. With galleries of fractals and Mandelbulbs; cellular automata and Lsystems music; and chaos
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 Visiting Artlandia  Ivars Peterson (MathTrek)
Have you ever admired any of the bold, colorful designs splashed across a variety of fabrics used for scarves, neckties, shirts, and other apparel? There's a chance that you may come across the work of a physicist. Igor Bakshee got into fabric design
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 A visit to James Clerk Maxwell's House  MacTutor Math History Archives
Linked essay outlining the life and work of Edinburghborn mathematician James Clerk Maxwell, with an outline of his childhood, pictures of his home, some mathematical poetry, and references (books/articles).
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 vismath  vismath GmbH
A shop of math manipulatives organized into "Build & Construct" (such as Fat Brain Toys, Itsphun, Papercraft, Pattern Blocks, PlusPlus, and Zometool); "See & Observe" (films, Mathematician's Dice, Playart magnetic sets, postcards, and wooden polyhedra);
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