 Geometric and Solid Modeling  Computer Science Dept., Univ. of North Carolina at Chapel Hill (UNCCH)
One area of focus for the UNC Research Group on Modeling, PhysicallyBased
Simulation and Applications. The field of solid modeling deals with the design and representation of physical objects. The two major representation schemata used in solid modeling
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 Geometric Arts  Ghee Beom "Quincy" Kim
A site dedicated to geometry and visual perception: patterns, fractals, structures, rotations, spirographs, optical arts, knots, and more. Some constructions include the artist's reflections, instructions, and links to related sites and interactive applets.
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 Geometros
Makers of the CAD system SolidGraph, built on sgCore, a solidstate modeling library that allows programmers to add CAD system functionality to their programs. Read product reviews; get plugins; post to support forums and consult FAQs; see lessons, examples,
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 Geometry Constructions  Barry Sanders
Constructions made using the Geometer's Sketchpad: Malfatti Circles (construct 3 circles internal to any triangle, each circle being externally tangent to the other two, and each touching adjacent sides of the triangle); Hart Circle (construct the circle
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 Geometry in Motion  Daniel Scher
Direct interaction with geometric diagrams, courtesy of JavaSketchpad. The contents include a variety of curvedrawing devices (Intersecting Circles, Falling Ladder, Van Schooten's Parabola, and more); also other activities such as Constant Perimeter
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 Geometry in Motion  George Beck; MathSource
Mathematica notebooks. MapPoint is a geometry program that combines the traditional geometric constructions of classical Euclidean geometry with the more dynamic geometric transformations of modern geometry. Many examples are given showing how to create,
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 Geometry  Paul Bourke
Explorations and renderings of various surfaces and forms, including knots, surfaces, 3D shapes, curves, algorithms, tilings, plexagons, etc. Formulae for Quadrics (Surfaces of degree 2); Superellipse and superellipsoid; SuperToroid (3D); Plexagons; Hexagonal
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 Geometry Turned On: Dynamic Software in Learning, Teaching, and Research  J. King and D. Schattschneider, Editors
This book contains twentysix papers about aspects of dynamic software for geometry. The book does not contain software itself, but this site includes downloadable files for many of the papers in the book. For a discussion of what the book is about, see
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 Global Math Department  Megan HayesGolding, community organizer
Professional development among math teachers sharing what they've learned "... 'cause we don't want our classes to suck the energy from students." Files have included "ZERO_Hit_Me_Game," "TINSpire_Quick_Tip," and "Zero_Game_Instructions." BigMarker community
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 The Goal Angle Problem  Ken Koedinger
Two solutions to the following problem: as you are running down a soccer field with the ball, when is the angle subtended by the goal at its maximum? There is also a sketch illustrating a construction used in one of the solutions (quadrature of the rectangle).
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 GrafEq  Pedagoguery Software
An intuitive, flexible program for producing graphs of implicit relations. Graph equations encountered in the secondary precalculus math curriculum: linear functions, polynomial functions, conics, trigonometric functions, exponential functions, relations
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 Graphics for the Calculus Classroom (Java version)  Douglas N. Arnold; Institute for Mathematics and its Applications
Excerpts with Java animations from a collection of graphical demonstrations developed for first year calculus. Includes: Differentials and differences, computing the volume of water in a tipped glass, Archimedes' calculation of pi, how the ball bounces,
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 Graphing Applets for Calculus  Eric A. Carlen
A collection of calculus applets, two packages of Java classes used for writing such applets, and full documentation of the packages and their use, with source code for all the sample applets. Applet topics include: the basins of attraction for Newton's
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 GraphPouch  Edcodia LLC
This iPad app lets you create graphing worksheets, use familiar PEMDAS operators to construct graphs, graph multiple equations per graph, reorganize them with draganddrop, "smart snap" to align objects, and more. Also available directly from the iTunes
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 Graph Theory Glossary  Chris Caldwell; Dept. of Mathematics & Computer Science, Univ. of Tennessee at Martin
A glossary that supplements Caldwell's Interactive Tutorials in Graph Theory written using the Web Tutor. Terms introduced in the tutorials are introduced; you may need to consult a library to find the definitions of more advanced terms.
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 Great Math Programs  Xah Lee
A listing about 40 excellent recreational math programs for Macintosh that do: polyhedra and Rubic cubes, curves and surfaces, fractals and Lsystems, tilings and symmetry, game of hex and game of life, chess and fiveinarow, peg solitare and polyominos,
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 GSP Files  Nate Burchell
This website includes GSP files that can be freely downloaded for educational use. The author has used these files in his classes to illustrate certain concepts in Precalculus, AP Statistics, and AP Calculus AB/BC.
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 GSP Lessons  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Sketches, using The Geometer's Sketchpad, illustrating a dozen problems in plane geometry, many with hints and solutions provided.
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 Heron's Calculation of Triangle Area (MSTE)  James P. Dildine; University of Illinois at UrbanaChampaign (UIUC)
The area of a triangle can be calculated using a formula attributed to Heron of Alexandria. This calculation requires that the lengths of all three sides be known. This activity includes an Excel file to calculate the area of a triangle, and Java and
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 High School Notebooks  George Beck; MathSource
High school Mathematica notebooks in two different styles, for teachers to use either directly or as examples of what they might want to imitate or avoid. One style has little explanation and is meant to encourage the student to experiment with the functions
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 Hyperbolic Geometry Using Cabri  Tim Lister
A site that provides documentation for drawing in the hyperbolic plane (noneuclidean geometry) using Cabri. As examples, it explains several concepts of hyperbolic geometry providing visualizations in the form of figures, animated gifs, and downloadable
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 IMAGINARY  Mathematisches Forschungsinstitut Oberwolfach
A platform for open and interactive mathematics. Explore events, exhibitions, programs, galleries, handson, and films  and share your own activities, projects, and discussions. Started as a maths and arts exhibition for the German Year of Mathematics
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 INFORMS OR/MS Resource Collection
 Michael Trick, Carnegie Bosch Inst., Grad. School of Indust. Administration, Carnegie Mellon Univ.
An organized listing of sites concerned with the field of operations research, the technique of using modern scientific models to predict and compare the outcomes of complex systems, considering factors such as change and risk, with links to: FAQs; Societies;
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 The Institute for Figuring  Margaret and Christine Wertheim, CoDirectors
"If mathematics is a language of pattern, its structures may be seen as the verses of a formal, yet fantastical poetics. Across the globe people have delighted in the harmonies of this language and the patterns discovered therein. These are the songs
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 Interactive Geometry Classroom Resources  CIGS, Math Forum
Links to downloads and classroom resources for dynamic geometry programs: the Geometer's Sketchpad; Cabri Geometry; Cinderellas Café (Java geometry software  German); Dr Geo (multilingual software for IBM PC); Euklid (Windows shareware in German
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 Interactive Mathematics  Murray Bourne, Ngee Ann Polytechnic, Singapore
Flash Tutorials for PreCalculus (Algebra, Trigonometry, Logarithms, Complex Number Systems, Graphs); Calculus (Differentiation  The Derivative, its Applications, Deriving Transcendental Functions; Integration, its Applications and Methods), and Advanced
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 Introduction à l'algèbre  Gilles G. Jobin, Projet Diderot
An interactive course, with extensive use of the Geometer's Sketchpad. Sommaire: Introduction générale; Conseils techniques; Test diagnostique (En chantier); Définitions et vocabulaire; Représentation sur la droite numérique;
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 Introduction to Probability  Grinstead, Snell; American Mathematical Society
A text for a first course in probability that emphasizes the use of computing to simulate experiments and make computations. Read it on the Web or download it. A set of programs (Mathematica, Maple, TrueBASIC versions can be downloaded) goes with the
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 Introduction to Vectors  Prof. Eugene Klotz, The Math Forum
Supplementary material to help students with their first encounter with vectors, and an experiment in the pedagogical possibilities of some modern technology: the World Wide Web has hypermedia capabilities which allow nonlinear use of documents of all
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 Iterated Function Systems  David Arnold; Mathematics Dept., College of the Redwoods, CA
What will the final image look like after you have plotted the infinite collection of points X1, X2, X3, ... generated by the chaos game? What if you plotted the infinite set of points generated by Barnsley's rules? This page provides a program that you
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 James P. Dildine  James P. Dildine
Interactive math lessons for exploring parabolas, triangle areas, Pythagorean triples, triangle angle sums (powered by a Cabri Java applet), cancer and mathematics (image analysis, and determining the area and perimeter of nonregular figures), systems
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 JavaGSP!  Annie Fetter, the Math Forum
A short tutorial: everything you need to know to make your first JavaSketchpad page. A quick reference, then some other features, details, and considerations you might want to familiarize yourself with if you choose to incorporate Java GSP into some of
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 Java Set Theory Machine  Jay Tomlin
Musical set theory encompasses the notion of defining sets of pitches and organizing music around those sets and their various manipulations. The site offers a Java applet that allows you to manipulate pitch class sets: play them, rotate and invert them,
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 JavaSketchpad Center  Key Curriculum Press
JavaSketchpad is software that lets you interact with or publish on the Internet sketches from The Geometer's Sketchpad, a Dynamic Geometry exploration environment for Macintosh and PC computers. JavaSketchpad can be used to share geometry work with people
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 JavaSketchpad DR3 Gallery  Key Curriculum Press
JavaSketchpad is software that lets you publish sketches from The Geometer's Sketchpad on the Internet. If you have a Javacompatible Web browser, visit this demo gallery for some examples of JavaSketchpad in use: Centroid; Stereo Icosahedron; Hypercube;
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 Jim Wilson's Home Page  Dept. of Mathematics Education, Univ. of Georgia
Jim Wilson's page lists courses taught (e.g. Computers and Algorithms in Mathematics Education, Problem Solving in Mathematics), and papers on topics in geometry: Ratio of areas of two squares; Capturing Area and A Solution; Curve Building; Orthotravels;
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 Ken Brakke's home page
Home page of the Susquehanna University mathematics professor who coauthored The Physics of Microdroplets and developed Surface Evolver, a free interactive program for modeling liquid surfaces shaped by various forces and constraints. Brakke also offers
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 Knot  Flaming Pear Software
The Knot program lets you create large 3D color animations and stills of abstract knots. You design the knot's form, color, motion, backgrounds and lighting, or design and render entire animations automatically. Makes standard QuickTime and TIFF files.
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 Les Mathématiques  Gilles G. Jobin, Projet Diderot
Web resources, activities, lessons and tutorials for secondarylevel mathematics. Illustrated geometry theorems, with extensive use of the software package the Geometer's Sketchpad. Puzzles and games; algebra problems and adult education. Activités:
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 Les quatres opérations sur les nombres entiers  Gilles G. Jobin, Projet Diderot
An interactive course, with extensive use of the Geometer's Sketchpad. Sommaire: Introduction générale; Conseils techniques; Une définition des nombres entiers; L'addition; La soustraction; La multiplication; La division; La priorité
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 LessonSketch  The Regents of the University of Michigan
A suite of animated sketches of geometry and algebra instruction, and forum for ongoing conversations about mathematics instruction, for practicebased professional development of secondary mathematics teachers. LessonSketch "supports the creation, examination,
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 Linear Regression (MSTE)  Amar Patel; University of Illinois at UrbanaChampaign (UIUC)
A lesson that allows students to explore notions of the relations between two variables using a variety of problems and activities to aid learning and classroom discussion. Requires Excel 5.0 and Netscape (or equivalent). Includes a look at how the lesson
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 Lin McMullin
Resources for AP Calculus teachers, information and articles on computer algebra systems (CAS), and other materials. Conference presentations include "Teaching Limits So That Students Will Understand Limits." See, in particular, the guide to the AP Calculus
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 Lower School LEGO Projects  The Blake School, Minneapolis/Hopkins/Wayzata, MN
LEGO Logo projects are integrated into the science and computer curriculum of the Blake School. Students in the second grade study levers, third graders study pulleys, fourth graders study gears, and fifth graders combine their previous studies into a
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 MakeaFlake  Barkley Interactive
Make your own snowflakes online: use the Flashpowered scissors to cut along the edges of a folded piece of virtual paper. Preview the unfolded results along the way; when ready, save your design to the gallery, where you may view and download plans for
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 Makin' Magic Programs, Fractals, Freeware, and Graphics  Dave Makin
Fractal freeware and galleries of examples. The fractal program MMFrac2.4 includes solid 3D hypercomplex and quaternion fractals and realtime 3D landscapes. An older version of the page can be found at http://skyscraper.fortunecity.com/terabyte/966/.
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 Mandelbrot Set and Julia Sets  Matthew Caryl
Both the Mandelbrot Set and Julia Sets are pictorial representations of a simple recurrence formula  z(n) = z(n  1) ^ 2  c  where values of z and c are complex numbers of the form a + ib and i is the square root of 1. Here both sets can be seen.
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 Mandelstep  Karl J. Runge
The idea behind "mandelstep" is that by letting you select starting positions and looking at a handful of iteration "trajectories" or "orbits," you can begin to understand more about the different regions of the Mandelbrot set  not just whether a point
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 Maple Application Center  Waterloo Maple, Inc.
Software you can order to explore, share, and publish math on the Internet. Interactive media for exploring and exchanging mathematical ideas, with content on a variety of subjects at the high school, university, and graduate level. (There are high school
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 Maple au collège de Maisonneuve  Pierre Lantagne
Site personnel dédié à l'utilisation du logiciel Maple dans
l'apprentissage des mathématiques de niveau collégial: calcul différentiel
et intégral I, II et III, algèbre linéaire, etc. Nombreux documents Maple
d'introduction au logiciel et d'apprentissage
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