- 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 CD-ROMs for the K-12 and college market. Product offerings now include laserdiscs with accompanying software, as well as CD-ROMs 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: K-12." 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. TI-84 graphing
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- Viewing Four-dimensional 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, L-functions, 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 self-described 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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- 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 Alabama-Huntsville
Interactive, Web-based 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 3D-XplorMath 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 Space-Time Travel Machine - Jean-François 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 step-by-step 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 L-systems 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 Edinburgh-born 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 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 complex-valued functions can be visualized using domain coloring.
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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 ISIS-Symmetry - Nagy, Jablan
The electronic journal of ISIS-Symmetry (International Society for Interdisciplinary Studies of Symmetry), published by the Mathematical Institute, Belgrade, Yugoslavia. Papers, conferences, the Nexus Network Journal of Architecture and Mathematics On-line,
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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 computer-graphic 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 cross-platform 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 drag-and-drop shapes and make rubberbanding connections between objects. It is
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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 retro-reflective floor to display the Voronoi diagram of people walking on it, exploring notions of personal space and individual-group 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 three-dimensional 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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The Math Forum is a research and educational enterprise of the Drexel University School of Education.