 Andrew Odlyzko
Home page of the Head of the Mathematics and Cryptography Research Department at AT&T Labs. The site contains a comprehensive list of his papers, most of which may be downloaded in LaTex, PDF, or PostScript form if they are not available as plain
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 Center for Technology and Teacher Education  Curry School of Education, University of Virginia
An interdisciplinary group that develops materials to prepare teachers to use technology to enhance and extend students' learning of mathematics. This site offers activities using graphing calculators, The Geometer's Sketchpad, Microsoft Excel, the ExploreMath.com
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 A Collection of Applets  Sione Palu
Java applets for classroom use. Those created so far include: Polynomial Roots; Frequency Distribution; Completing the Square; Polynomial Fitting; Statistical Analysis; Number Works; and Polynomial Differentiation. Read about Palu's background and educational
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 Cubic and Quartic Equations  Math Forum, Ask Dr. Math FAQ
General solutions to cubic and quartic polynomial equations.
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 d'Arbeloff Interactive Math Project  Massachusetts Institute of Technology
Java applets, with help documentation, for exploration: Amplitude and Phase, Beats, Complex Exponential, Complex Roots, Convolution (accumulation or flip and drag), Damped Vibration, Damping Ratio, Euler's Method, Forced Damped Vibration, Fourier Coefficients,
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 Descartes' Rule of Signs  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion by Scott Brodie of the basis of the attribution to Descartes of the proposition now known as Descartes' Rule of Signs: The number of positive roots of a polynomial with real coefficients is equal to the number of "changes of sign" in the
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 Experiment and Explore Mathematics  A. Dendane
Java applets to explore topics in mathematics: graphing linear equations, graphing systems of linear equations, polar equations, rational functions, exploring translations and scaling of graphs, and matrix multiplication.
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 ExploreMath.com  Third Millennium Press
Shockwave activities illustrating realtime correlations between equations and graphs to help students visualize and experiment with concepts from elementary algebra through precalculus: experiment with the graphs of functions, systems, and complex numbers.
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 Field Extensions  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to field extensions. Mathematicians once spent time on a subject call the "Theory of equations," which was full of algorithms and the theory of polynomials and their roots. Nowadays this is the subject
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 Field Theory and Polynomials  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to field theory and polynomials. Field theory looks at sets, such as the real number line, on which all the usual arithmetic properties hold, including, now, those of division. The study of multiple
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 "F.O.I.L.: Keepin' Algebra Fresh" TShirt  Shamplade.com
Need some help with the distributive property? This is a great Tshirt that demonstrates FOIL in a "hip" way. Purchase with PayPal.
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 Gamelan  The Official Java Directory  EarthWeb, Inc.
Gamelan's primary mission is to serve as a central registry and directory of Java resources. Much like Yahoo!, Gamelan collects links to resources stored on other sites across the Web. However, unlike Yahoo!, Gamelan's mission is specific  Gamelan collects
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 Graphing Cubic Polynomials  Jim Carlson, University of Utah
A Java graph with changeable coefficients. Draw the graph, zoom in or out, click on any point to get approximate coordinates. Arc length and rise/run calculated.
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 How to Factor A Quadratic Trinomial  Paul Patten
Practice in factoring quadratic equations, with problems and solutions.
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 IMSA Math Activities  Illinois Mathematics and Science Academy (IMSA)
A collection of short activity sheets on algebra, precalculus, and calculus subjects ranging from a definition of logs and derivatives of exponential functions, to reciprocals of power functions (x^n) and reciprocals of parabolas, to Newton's Method
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 Interactive Algebra  Robert Bunge
Java applets that allow you to practice your equations, factoring, and graphing skills, with multiple levels in each category. The applet generates random problems, which you work on paper, and you can check your answers when you're ready. Hints are also
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 Investigations in Mathematics  Eric S. Rowland
Openended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon
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 John Taylor's Home Page  John Taylor; University of Brighton
Taylor's other activities include Maple generated animations: vary gradients or intercepts in equations for a straight line, change coefficients of quadratic curves or cubic curves, draw tangents to conics, model a nondifferentiable surface, and construct
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 Jon McCammond
A mathematician at Texas A&M University. Research interests include geometric group theory and lowdimensional topology, as well as combinatorics, graph theory, and computational geometry. Preprints can be downloaded in PostScript format. Current
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 Krawtchouk Polynomials  Vadim Zelenkov; International Sakharov Environmental University
An exposition of properties and applications of classical orthogonal polynomials introduced by M. Krawtchouk in 1929, with historical and biographical information to give the Western reader an idea of the fate of this Ukrainian scientist during the Great
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 Learning about Algebra tiles: Activities for teachers  David A. Reid
Algebra tiles provide a useful way to introduce operations on polynomials to students of all ages. Reid's paper can be used both as a selfguided tour of teaching with algebra tiles, and as a set of activities for use with students. Examples of instructions
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 Lodovico Ferrari
A sixteenthcentury mathematician and professor of mathematics at the University of Bologna, recognized for discovering the solution of the quartic (fourth degree) polynomial equation. Biographical information, timeline, and Ferrari's solution.
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 LSL Math Traits  Gary T. Leavens
A guide to an archive of mathematical traits written in the Larch Shared Language (LSL), constituting a small LSL handbook. The traits do not duplicate the traits in Guttag and Horning's book, but add to them. Real numbers; Polynomial Functions and Polynomials;
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 Matemática Sem Palavras  Jorge Picado et al.
Diagramas visuais (Java) que conduzem à descoberta de áreas, multiplicação, equações completas de segundo grau, somas com um numero finito de parcelas, somas com um numero infinito de parcelas, desigualdades,
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 MathComplete  Beata Obrzut
Learn about probability distributions, quadratic equations, linear expressions, slope of a line, radical expressions, and sequences and series through tutorials, worked MathML examples, and "automatic solvers" that use Design Science's MathPlayer software.
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 MathDrills  Elias and Daniel E. Saab
Math drills with randomly generated problems, with details and hints and scores kept. Types of drills include problems on distance, speed, and time; job completion; roots of polynomials; percentage word problems; arithmetic attack; fraction attack; bases;
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 Math Tools Algebra II  Math Forum
A community library of software tools for algebra II students and their teachers. Algebra II is one section in the Math Forum's Math Tools digital library of software for computers, calculators, PDAs, and other handheld devices, with related lesson plans,
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 Math WWW VL: Software  Dept. of Mathematics, Florida State University
Links to software sites for collegelevel mathematics.
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 Maximum Volume & Area with the Geometer's Sketchpad  David Purdy, Wisconsin Heights High School, Mazomanie, WI
Common in calculus and advanced algebra texts, these wellknown optimization problems now appear in high school geometry texts as interesting explorations that integrate measurement, model building, polynomial functions and use of the graphing calculator.
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 Mozaik Kiadó  András Ringler
Computer animations for teaching mathematics include geometrical solutions of quadratic equations. Also available in Hungarian.
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 Multiplying and Factoring Polynomials Using Algebra Tiles (SMILE)  Regina Marshall, Curie Metro High School
A lesson designed to eliminate the frustration and anxiety involved in multiplying and factoring polynomials through the use of Algebra Tiles. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science
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 Newton's Method  David Sumner
A page that accepts an equation in terms of the variable x, a starting guess for the value of x, and then calculates a value after nine iterations using Newton's Method of Approximation.
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 Nils Ahbel  Deerfield Academy, Deerfield, MA
Access Ahbel's Blackboard courses as a guest to preview his teaching resources and download Excel files in algebra, functions, statistics, and trigonometry.
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 Online Gröbner Basis Calculations  Michael McGettrick, National University of Ireland
Enter generating polynomials for the ideal I to calculate its Gröbner basis, minimal Gröbner basis, or reduced Gröbner basis, which can be used for finding the solution to simultaneous polynomial equations and for determining the existence
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 Pascal's Triangle from Top to Bottom  Matthew Hubbard and Tom Roby
A comprehensive resource for the study of Pascal's Triangle. The section "Applications" addresses questions such as "What types of questions are answered by the binomial coefficients?" and "What number greater than 1 shows up most often in Pascal's Triangle?"
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 Pascal's Triangle  Math Forum, Ask Dr. Math FAQ
What is Pascal's Triangle? How do you construct it? What is it good for?
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 Paul Nevai
Paul Nevai researches orthogonal polynomials and approximation theory. Many of his articles are available here in .dvi format or as html documents.
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 Pell's equation
 MacTutor Math History Archives
Linked essay on the indeterminate quadratic equation. With references and other related web sites.
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 Polynomials  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Animations show how the Cartesian equation changes if the graph of a polynomial is translated or subjected
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 Polynomials, Rational Functions  Dave Rusin; The Mathematical Atlas
A page reserved for the analytic study of polynomial functions studied in calculus classes. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this
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 Precalculus  Preparing Students for Calculus  Warren Esty, Montana State University
A text designed to prepare students for calculus, with chapters on functions, powers, polynomials, logs, exponentials, and trigonometry. Models a new approach to learning through nontraditional homework (explanatory rather than computational); an emphasis
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 Professor Freedman's Math Help  Ellen Freedman
A mixture of sound, animation, humor and personal advice dealing with math anxiety for the adult student and community college learner. The site includes tutorial lessons, math assignments, study skills tips, information on learning styles, an online
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 Project MATHEMATICS!  Apostol, Blinn, Corrigan, California Institute of Technology
Videotapeandworkbook modules that explore basic topics in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. The
tapes use live action, music, special effects, and imaginative computer animation, and are distributed
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 Quelques feuilles de Maple  Maple expliqué en français  Canonne
An introduction to Maple in French. Algèbre Linéaire; Equations Différentielles; Equations et Inéquations; Fonctions; Géométrie; Graphiques; Polynômes et Fractions rationnelles; Programmation; Statistiques.
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 Spirals of Primes  Bryan Clair, University of Chicago
This page will generate a spiral of numbers, with the primes marked as stars, and the composites as dots. The center of the spiral is marked with an 'X'. Specify the number at the center of the spiral below, and the width (and therefore also the height)
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 Topics in Integral and Differential Calculus  Teresinha Kawasaki
Interactive, illustrated introductions to polynomial functions, trigonometric functions, exponential and logarithmic functions, the derivative, differentiation formulas and the chain rule, differentiating trigonometric functions, maxmin problems, integration,
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 University of South Carolina High School Math Contests  David Sumner
Problems from the University of South Carolina (USC) High School Math Contests, since 1994. Walk step by step through illustrated solutions to each problem using the "next step" button. The delivery of questions is designed for competitive timing. Also,
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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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 (x+y)?  Jim Loy
Some people might guess that (x+y)^2=x^2+y^2. But we know that: (x+y)^2 = x^2+2xy+y^2. How do we know that? An application of the distributive law with an illustration and a magic trick...
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