 The Verbal Math Lesson  Michael Levin, Charan Langton
Books for teaching math topics verbally through word problemsno worksheets, no writing. The approach is intended to be fun for children and to develop mental short cuts.
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 Vernier Software  Vernier Software
Products and services for classroom data collection. CalculatorBased Laboratory System (CBL) products, such as motion detectors, accelerometers, colorimeters, radiation monitors, and other sensors and curricular materials, allow students to collect and
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 The Vertex Coloring Algorithm  Ashay Dharwadker
A polynomialtime algorithm for coloring the vertices of a graph with a new constructive proof of Brooks' theorem.
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 The Vertex Cover Algorithm  Ashay Dharwadker
A polynomialtime algorithm for finding minimal vertex covers in a graph.
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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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 Victor Shoup's Home Page
Download research papers on cryptographic protocols and on algorithms for solving problems in the area of number theory and algebra. The Courant Institute researcher freely offers a standard for publickey encryption, a simple LaTeX class for preparing
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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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 Videos for the Curious Mind  TMW Media Group
A catalog of educational videos, with teacher guides, to supplement classroom, home, or independent study. Tapes include Algebra Tutor, Geography, Understanding Science, the Tell Me Why Children's Video Encyclopedia series based on the books by Arkady
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 A View from the Back of the Envelope  Mitchell N. Charity
Pages about approximation. Counting by powers of ten includes the "what order of magnitude is ...?" game, illustrated instructions for counting to ten billion on your fingers, and lots of dots  a million dots on one page, and a dot for every second
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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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 Views from Flatland (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
What do you think the world would look like if you and everything in it were squished flatter than a pancake? Like shadows, you and your friends would freely flit about the surface. But if you couldn't rise above or below the surface, objects with any
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 Views of the Solar System  Calvin J. Hamilton
A multimedia exploration of the Sun, planets, moons, comets, asteroids, meteorites, and more. Study the latest scientific information or the history of space exploration, rocketry, early astronauts, space missions, and spacecraft through an archive of
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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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 Villainy, Inc.: Thwarting World Supremacy through Mathematics  Maryland Public Television
To thwart the evil Dr. Wick, ID, middle grade students take on the role of an advisor to his company, Villainy, Inc.  while secretly using their math skills to make sure Wick never succeeds. As undercover double agents for the AntiVillainy Unit (the
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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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 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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 The Virtual High School
The Virtual High School project is a collaborative of high schools from around the country. In exchange for contributing a small amount of teaching time, a school in the collaborative can offer its students webbased courses ranging from advanced academic
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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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 The Virtual Math Lab  Kim Peppard and Jennifer Puckett, West Texas A&M University (WTAMU)
Online tutorials for beginning, intermediate, and college students of basic and linear algebra, or for those preparing for the math part of the Texas Academic Skills Program (TASP) test. Every tutorial has definitions, formulas, illustrations, and stepbystep
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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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 The Virtual Math Teacher  Russell Byer; AD Oliver Middle School, Brockport, NY
A reference site for middle school mathematics teachers, parents, and
students. The site provides monthly puzzles (and past puzzles, without solutions), suggestions for projects (real world math, math and economics, math and science, math and business,
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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 Nerd  Virtual Nerd, LLC
This online tutorial service for secondary math and science students supplements its video instruction with the interactive Dynamic Whiteboard™, which takes notes for you during lessons, and lets you find definitions of terms midstream and write
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 Virtual Optima  Tony Hürlimann, Chris Hürlimann
A company offering consultancy, software (a linear programming language for mathematical optimization and modeling), and sport league schedules. It also offers a book of optimization problems, with sample problems available online.
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 Virtual Paper Cut & Fold  Mike Sokolov
A Java applet and a Flash tool for folding paper online. Make snowflake patterns; learn how to create a fivepointed star with a single cut. With a gallery of folded paper creations.
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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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 Virtual Skies  NASA Ames Education Division
Tutorials, interactive illustrations, career explorations, decisionmaking scenarios, and selftests in each of the following areas: weather, aviation research, airport design, air traffic management, navigation, communication, and aeronautics. A "Teacher's
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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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 Virtual Tutor  Calculus
An Internet service that delivers a tutor containing over 700 calculus problems and their solutions. Topics covered match those presented in most first year calculus textbooks. Each solution contains solution hints and hyperlinks to the relevant theory
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 Virtual University (VU)  Stephan Nicolas
Math lessons: Introduction to Topology; Arithmetic; Introduction to Probability; Mathematical Approach to Probability; Random Variables, Expected Value, Variance.
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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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 Vision Props of Signed Numbers (SMILE)  Mable McMiller, South Shore High School
A lesson designed to teach students about the number line and signed numbers by working with acid and alkaline solutions. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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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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 ViSta: the Visual Statistics System  Forrest W. Young
ViSta features visual tools for revealing structure in data; for showing the results of statistical analyses; for guiding the analyst through an analysis; and for structuring the analyst's data analysis process. ViSta is designed for a wide range of users,
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 Visual Calculus (Mathematics Archives)  Larry Husch; University of Tennessee, Knoxville (UTK)
A collection of notes that give some ideas how technology, in particular computers, can be used in the teaching of calculus. Detailed instructions on implementing these ideas with various public domain, shareware and commercial software packages are provided.
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 A Visual Dictionary of Special Plane Curves  Xah Lee
Materials that demonstrate interesting properties of plane curves visually. Many concepts or properties of plane curves, such as cusp, tangent, evolute,
involute, or envelope, are more readily explained by an illustration or animation. The mathematics
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 Visual Fractions  Richard E. Rand
A site with 19 Java programs that provide instruction and practice in identifying, renaming, adding, subtracting, multiplying, and dividing fractions. Number lines are drawn to demonstrate each example. Programs include: Identify Fractions; Identify Mixed
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