 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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 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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 VisuAlgo  Halim, Steven and Felix
"Visualizing data structures and algorithms through animation." Explore, watch electures, and solve problems on sorting, bitmask, linked lists, hash tables, binary heaps, binary search trees, graph structures, UnionFind DS, segment trees, Fenwick trees,
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 Visual Insight  American Mathematical Society
A "place to share striking images that help explain advanced topics in mathematics," as edited by John Baez. Twice monthly posts, which date back to August, 2013, have included "Atomic Singular Inner Function," "Catacaustic of a Cardioid {6,3,3}," "Honeycomb
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 Visual Intelligence: How We Create What We See  Donald D. Hoffman
Visual intelligence, cognitive scientist Donald Hoffman writes, is the power that people use to "construct an experience of objects out of colors, lines, and motions." The site includes: places to buy the book; the text of the preface; and animations
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 Visualization Laboratory of Geometric Objects  Mathematics Dept., Universidad Autónoma de México
An electronic journal and works from professors, researchers and students from the Mathematics department of the School of Science of the Universidad Autonoma de Mexico, with a gallery of geometric objects (fractals), and links to other Web pages. Versions
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 Visualizing complex analytic functions using domain coloring  Hans Lundmark; Linköping University, Sweden
An article that illustrates graphically some properties of complex analytic functions (also known as holomorphic functions), explaining how complexvalued functions can be visualized using domain coloring.
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 Visualizing Math
Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation
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 Visualizing the Behavior of Functions  Cuoco
Cabri Geometry II figures and a macro accompanying the article "Visualizing the Behavior of Functions" by Albert A. Cuoco in the Technology Tips column of Mathematics Teacher magazine.
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 Visual Mathematics (VisMath): Art and Science Electronic Journal of ISISSymmetry  Nagy, Jablan
The electronic journal of ISISSymmetry (International Society for Interdisciplinary Studies of Symmetry), published by the Mathematical Institute, Belgrade, Yugoslavia. Papers, conferences, the Nexus Network Journal of Architecture and Mathematics Online,
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 Visual Math for Java  Dr. Weiguang Huang
The Java applet Visual Math is an online symbolic math and computer algebra system powered by SymbMath. SymbMath (an abbreviation for Symbolic Mathematics) is a symbolic, numeric and graphic computing environment that performs exact numeric, symbolic
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 Visual Math: Functions  Centre for Educational Technology (CET)
Activities, tools, and tasks for learning about linear and quadratic functions.
Contents: Linear Functions  Functions Defined on Intervals  Equivalent Expressions of Functions  Addition and Subtraction of Linear Functions  Transformations of Graphs
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 Visual Math Institute  Ralph Abraham, Director
Created in 1975 to administer grants from the State of California and the NSF. The "Visual Math Project" was created at UCSC for the development of computergraphic based materials for teaching university math: precalculus, calculus, linear algebra, and
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 VisualMath  Software And Engineering Co.
A graphic language for solving all types of problems, providing over 80 components, all of which are capable of using matrix input. Many dialogs are used to define properties. A special 3D plotter and table viewer show the results of the solution. VisualMath
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 Visual Modelling Group  University of Brighton
This research group focuses on giving formal semantics to existing notations, developing new visual notations, and reasoning with them. The Visual Modelling Group has developed a constraint diagram notation that visually expresses mathematical constraints
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 Visual Thought
A crossplatform diagramming & flowcharting tool running on Windows 95/NT and UNIX. Visual Thought moves ideas onto the screen quickly by making it easy for the user to draganddrop shapes and make rubberbanding connections between objects. It is
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 Vizual Statistix  Seth Kadish
Blog of statistics graphed by a Geoscience PhD who describes data visualization as his passion. Posts, which date back to January, 2012, have included "A Summation of Square Usage over 432 Chess Games"; a tiled plot showing the number of unique configurations
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 Volume of a Torus  Paul Kunkel
An investigation into and explanation of the volume of a torus.
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 Voronoi Art  Scott Sona Snibbe
Using a retroreflective floor to display the Voronoi diagram of people walking on it, exploring notions of personal space and individualgroup relations. See also Scott's other projects.
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 Voronoi Diagrams of Points, Segments and Arcs in 2D  Martin Held
VRONI is a software package for computing Voronoi diagrams of points and line segments in the Euclidean plane. Based on the Voronoi diagram, VRONI can also compute offset patterns or perform buffering. Since VRONI computes a Voronoi diagram of points
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 The Voronoi Web Site  Christopher Gold; Université Laval
A site established to encourage communication between workers (academic or commercial, users or developers), using Voronoi or Delaunay methods of spatial analysis, in the hope that the exchange of ideas in this field among a wide variety of users will
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 Vortex Leapfrogging Interactive Pages  Amanda Johns, The University of Surrey, England
Interactive experiments in fluid dynamics, in particular, the motion of vortices: "A vortex is a spinning energy wheel. When you take the plug out of a bathtub, you will see that the water creates a vortex as it runs down the drain. In common usage, by
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 vrml.calculus.net (calculus@internet)  Curtis, Davis, Wayand
The visual study of threedimensional calculus using the power of VRML  Virtual Reality Modeling Language. The next generation of calculus course materials. Text in progress: Virtual Reality & 3D Calculus  addressing the question how virtual reality
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 VRML Gallery of Electromagnetism  Rob Salgado
A collection of VRML worlds that visualize the vector fields of electromagnetism. Subcategories: addition; wedge product; raising and lowering of indices; unit vectors; charged point (Coulomb); two charged points; charged dipole; charged sphere; charged
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 VulcanSoft
Win95/NT4 software. Includes a measurement converter with 15 categories and over 270 different measurement units, a financial calculator with 14 different financial calculations and table output, and a city distance calculator with over 1900 cities, which
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 Vygotsky  Cristina Guerra
A brief description of Vygotsky's theories about thought, language, and intellectual development.
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 Vygotsky's Distinction Between Lower and Higher Mental Functions and Recent Studies on Infant Cognitive Development  Eugene Subbotsky; Psychology Department, University of Lancaster, UK
One of the major theoretical advances of Vygotsky's approach to cognitive development was his thesis that human mental functions are social in origin. In making this claim, Vygotsky was confronted with the difficulty of reconciling it with the fact that
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 Vygotsky  Trish Nicholl
This paper includes sections entitled Higher and lower mental functions; Intramental vs intermental abilities; The zone of proximal development (ZPD); Psychological tools; and Semiotic potential and the decontextualisation of mediational means. With references.
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 Walking Randomly  Michael Croucher
Croucher's blog, which dates back to August of 2007, has included posts such as "Logo Programming on the pocket PC," "Christmas gifts for math geeks (like me!)," "Martial Mathematics," "R Compared to MATLAB (or 'learning a thing or two from your students'),"
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 WallaceBolyaiGerwien Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
According to the WallaceBolyaiGerwien theorem, all simple polygons of equal area are equidecomposable by dissection. The site offers a proof of the theorem and several dynamic illustrations of equidecomposition in special cases.
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 Wallpaper Groups (Plane Symmetry Groups)  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Mathematicians classify plane patterns such as wallpaper patterns by means of symmetry groups  groups of transformations of the plane that leave the pattern invariant. A transformation slides, rotates, and reflects the plane into another position. Such
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 Wallpaper Groups: The Discontinuous Groups of Rotation and Translation in the Plane  Xah Lee
An undergraduate tutorial on wallpaper groups, with illustrations of the 17 wallpapers groups and a wallpaper gallery. Technically, the derivation of all discontinuous groups of rotation and translation in the plane. Contents include: Some Theorems on
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 Walpha Wiki  Derek Bruff and others
As collaborative site to record how secondary and undergraduate math educators use WolframAlpha, or Walpha as it's called here, in the classroom. In particular, the authors are interested in how students might use Walpha themselves, as well as how teachers
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 Wanted: A New Mix  Keith Devlin (Devlin's Angle)
An essay on the insularity of mathematicians. "...mathematics as a whole should be prepared to embrace as a useful and bona fide part of the enterprise, collaborative investigations involving mathematicians together with experts in other disciplines."
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 Waring Experiments  Ivars Peterson (MathLand)
You might suspect that, at some point, four squares would no longer be enough to express a given whole number. This reasonable supposition was overturned in seventeenth century, when Pierre de Fermat proved that every positive whole number can be expressed
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 WatchKnowLearn  Community Foundation of Northwest Mississippi
Thousands of free online math educational videos, categorized into topics such as mathematics for young learners, number operations, math in the real world, precalculus, math study skills and test prep, and history of math.
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 Waterman Polyhedra and Maps  Steve Waterman
World maps based on close packing of spheres that resemble B.J.S. Cahill's octahedral butterfly world map, but with only five degree graticule. With links to the mathematics behind the cartography, polyhedra applications, and other original findings.
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 Water Puzzle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
There are three glasses  3, 5, and 8 oz. The first two are empty, the last contains 8 oz of water. By pouring water from one glass to another make at least one of them contain exactly 4 oz of water. Investigation into this puzzle by experimentation,
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