- Area Under Curves: The Integral - Don Cohen (The Mathman)
Area on the geoboard; Plotting points on a computer or programmable calculator to find the area under curves; Finding the area under curves on graph paper. Sample problems with some answers and a program to plot points - from Chapter 13 of Don Cohen's
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- Are Mathematicians Turning Soft? - Keith Devlin (Devlin's Angle)
An article about 'soft mathematics'. "...In order to capture some of the abstract patterns and structures of mind and language, linguists sometimes find it convenient (perhaps necessary) to make use of mathematics, or at least mathematical notation or
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- Are You Better Than Average? - Todd Curtis
Dice game developed to quickly demonstrate some of the basics of probability. You'll need one pair of dice, a throwing tray or other flat surface, and a score sheet.
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- Are You Ready for Calculus - Department of Mathematics and Statistics, University of New Brunswick
A test designed to give students an idea of what UNB expects them to be able to do. Answers are provided.
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- Argus Clearinghouse: Math and Statistics - Argus Associates, Inc.
Guides on topics pertaining to the study of numbers, measurement, and physical or virtual space.
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- Aristotle and the Paradoxes of Logic - Gilbert Voeten
At about the same time that set theory began to influence other branches of mathematics, various contradictions, called paradoxes, were discovered. A paradox, however, is only due to a striking violation of at least one of Aristotle's laws of logic. The
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- ArithmaClick - J. D. Brown
Practice addition and multiplication while keeping score.
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- Arithmagic - Ivars Peterson (MathTrek)
Arthur T. Benjamin eschews the usual trappings of the magician's trade. Calling himself a mathemagician, he astonishes audiences with amazing feats of mental arithmetic. Behind the scenes, he reveals how you, too, can look like a genius without really
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- Arithmagic (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
Prof. Arthur Benjamin amazes audiences by multiplying numbers in his head faster than someone using a calculator. Benjamin says that anyone - young or old - can learn to do the same feats of mental arithmetic. All it takes is a memory for numbers and
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- ArithmAttack - David Baurac, Argonne National Laboratory
How many computer-generated arithmetic problems can you answer in 60 seconds? Choose an operation (add, subtract, multiply, divide, random operator) and high and low numbers (0-12). Enter an answer and check it; after 60 seconds the program will tell
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- Arithmemouse - Tinman Learning, Inc.
Arithmemouse Times Tables is a multiplication game that facilitates teaching children multiplication facts--not just a drill. It is nonviolent, with light puzzles, and without life meters or punishment for failure. A free demo is available. Arithmemouse
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- Arithmesticks - Michael Varma, Magical Concepts
Simple equations made out of sticks--move one stick to make the equation correct. This site has example problems in each of the four basic operations, and sells kits of sticks and equations cards.
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- Arithmetic and Algebra - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
More than 110 games or puzzles having to do with arithmetic or algebra, with extensive discussions and solutions. Most require a browser capable of displaying JavaScript or Java.
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- Arithmetic and Algebra Review Problems - Alan Selby
Arithmetic and algebra review problems to help people check or diagnose arithmetic skills and other calculation or algebra skills. Includes a 20x20 times table.
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- Arithmetic CD - John Banfill
The Arithmetic CD contains over 1700 basic arithmetic lessons for K-8 students. Each lesson has an explanation, some interactive practice, and challenge games. The lessons on the CD consist of interactive html files and require a web browser to operate.
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- Arithmetic for Home Schooling - Bill Hemmer; Hemmer Publishing Company
A traditional program covering math from basic arithmetic through pre-algebra, for grades 3-7, focusing on six subject areas: whole number, fractions, decimals, percents, measurement, and pre-algebra. The order and format of the topics allow flexibility
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- Arithmetic (Funk & Wagnalls Multimedia Encyclopedia) - Lycos Zone: Mathematics
A short article on arithmetic: fundamental definitions and laws; theory of divisors; fractions; and decimals.
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- Arithmetic is Algebra Backwards - John Hays
A series of essays, including: Deriving integers as vectors of Naturals; rationals, vectors of integers; reals as infinite vectors of rationals by adjoining transfinite operation of LIMIT to arithmetic finite operations; complex numbers as vector of reals
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- Arithmetic - Math Forum
Links to some of the best Internet resources for arithmetic: classroom materials, software, Internet projects, and public forums for discussion.
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- Arithmetic Properties of Binomial Coefficients (Organic Mathematics Proceedings) - Andrew Granville
Many great mathematicians of the nineteenth century considered problems involving binomial coefficients modulo a prime power (for instance Babbage, Cauchy, Cayley, Gauss, Hensel, Hermite, Kummer, Legendre, Lucas and Stickelberger). They discovered a variety
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- Arithmetics WARM UPS - Cornick, Jonathan; Guy, G. Michael; Russell, Andrew S. H.; and Holt, Robert J.
This free, open, online supplement to the Arithmetics WARM UPS Textbook provides practice with place value, arithmetic, order of operations, word problems, and more. Rendered in MathJax, each "lab" in this "no calculator zone" instantly scores multiple
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- Arithmetic Village - Kimberly Moore
Arithmetic Village introduces number placement, addition, subtraction, multiplication, and division through storybook characters Polly Plus, Linus Minus, Tina Times, and King David Divide. arithmeticvillage.com, which accompanies the author's rhyming
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- Arithmetic with Roman Numerals - Jim Loy
"It is fairly obvious that Roman numerals are more difficult to use than our arabic numerals. They are fine for recording a date or indicating a chapter number. But, they make arithmetic somewhat difficult....Egypian numerals are essentially Roman numerals,
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- Arithmetiles: Speed Math Skills
Online game to warm up your brain with fairly easy math challenges. Downloadable versions available for purchase.
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- Aritm - Mikael Bonnier
A Java applet for simple mental calculation, drilling on basic arithmetic (addition, subtraction, multiplication, or division, with 1- or 2-digit terms), in digits, words, or Roman numerals. It will tell you when your answer is wrong, and how many problems
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- Arizona Center for Mathematical Sciences (ACMS) - University of Arizona, Tucson
An interdisciplinary research group that enjoys close ties with the Departments of Physics and Optical Sciences. The main goal of ACMS research is to understand nonlinear processes in natural phenomena. Research topics include nonlinear optics, fluids,
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- Arizona Mathematical Software
A collection of approximately 60 educational programs that are designed for use by instructors and students in classroom, laboratory, and home environments. Software falls into four categories: Are You Ready?; Slide Shows; Teacher Aids; Toolkits. It runs
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- ARMA Grapher - Aaron Bono
An applet designed to give those new to the field of Time Series a feel for the
"look" of some basic time series models, to help students and instructors generate random data for simple ARMA models and get a feel for what the data might look like. It
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- Arnd Roth - Arnd Roth, Institute for Theoretical Physics, Heidelberg, Germany
Arnd Roth studies computational physics and neuroscience. This page provides documentation and code for related Mathematica notebooks, and a notebook for the Knight's Tour chess problem, available online. Also links to abstracts or text of many of Roth's
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- Around the Dartboard - Ivars Peterson (MathLand)
The numbers on a standard dartboard have the following order, going clockwise starting at the top: 20, 1, 18, 4, 13, 6, 10, 15, 2, 17, 3, 19, 7, 16, 8, 11, 14, 9, 15, and 5. Why this particular order? A possible criterion for designing a dartboard is
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- ARPACK - Danny C. Sorensen
Anonymous ftp archive for ARPACK, a software package for solving large-scale symmetric, nonsymmetric standard, or generalized eigenvalue problems. Industrial-scale problems with as many as 250K degrees of freedom have been solved with this package. Future
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- Art and Mathematics - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about art and mathematics, such as "Do you know ways that art can be linked to mathematics?"
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- artchives / artists / MATH - SunSITE
The SunSITE Mathematical Art Gallery from the SITO Artchives - images by math artists (under copyright). Fractals and many other kinds of images; with biographies of the artists.
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- Artelys Kalis - Artelys SA
Artelys Kalis is an extensible constraint programming framework enabling the user to define its own constraints and search heuristics. It also includes several global constraints. It is available as a C++ library and its port to Xpress-Mosel environment
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- Articles on Mathematics - Subramaniyan Neelagandan
Articles in four formats: DVI, PDF, PS, and TEX Code. The Distribution of Prime Numbers & Integer Factorization; The Simplification of Fermat's Last Theorem; Exploration of Collatz's Conjecture.
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- Articulation in Mathematics Education - EXTEND - Perspectives in Mathematics Education
Links to articles on creating smoother transitions between education and work, between school and college and within sectors of higher education, and about preparing teachers to facilitate these transitions and students to respond to new environments.
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- Artificial Intelligence Resources - NRC - National Research Council (NRC) of Canada
Internet resources useful to AI researchers: Archives for newsgroups and mailing lists; bibliographies; books; companies; conferences; employment opportunities; FAQs; journals; location index (various AI research groups, organized geographically); list
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- Artistic Exploration of Hilbert Space Filling Curve - Don Relyea
Artist Don Relyea uses a Hilbert space filling curve to create generative
modern art. Page includes interactive demonstrations with source code
examples and and background information on Hilbert curves with links to
further documentation.
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- An Artist's Timely Riddles - Ivars Peterson - Science News Online
The late 19th and early 20th centuries were a time of great popular interest in visualizing a fourth spatial dimension - a concept that appeared to offer painters and sculptors, in particular, an avenue of escape from conventional representation. Moreover,
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- Artlandia Kaleidoscope - Artlandia, Inc.
A fully interactive program based on and available free with the purchase of the software program Artlandia (requires Mathematica 3.0 or higher; available for all platforms that run Mathematica). It
is as easy to use as an ordinary kaleidoscope - create
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- Artlandia - Software for Programmable Creative Graphic Design - Artlandia, Inc.
A Mathematica-based application for artistic interpretation of data and creating mathematical and algorithmic art. The software provides a selection of tools for constructing geometrical objects from numerical arrays, distributing geometric shapes over
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- Artlandia SymmetryWorks - Artlandia, Inc.
A plug-in for Adobe Illustrator that automates creation of surface designs and ornaments based on seventeen wallpaper groups.
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- Art Matrix Fractals - H. Smith, J. Staller
Some basic information about fractals; a fractal gallery; and a two-hour video for sale on the subject of fractals and chaotic dynamical systems. What is a fractal?; Product line; Wholesale policy; Introduction to Fractals; etc.
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- The Art of Asking Thought Provoking Questions in the Mathematics Classroom - Carmen Bellido, Uroyoan Walker, Keith Wayland
A position paper in PDF format: a "How To" guide for developing higher-level conceptual questions that provoke students to think. Several techniques for modifying traditional questions are illustrated with examples ranging from elementary to high school
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- The Art of Calculating Real 2D Vectors - Hero van Jindelt
Freeware: Print the text for pupils. Numerical 2D-calculator. We don't need
words like imaginary, complex number, or Argand Diagram any more--save them
for a history lesson. Ordinary vector-calculation with a "new" (centuries-old) multiplication,
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- The Art of Fractals - Joseph Trotsky; Artis Fractal Gallery
An online fractal exhibition with images grouped into the themes Paintings, Legends and Fairy Tales, Places, Flowers, Foliage, Trees and Forest, Fauna, Landscapes, Classic, Geometric, Marine, Mystic, and Zodiac.
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- The Art of Problem Solving - Richard Rusczyk
An online school and community, with a message board and widely used textbooks, e.g., The Art of Problem Solving by Sandor Lehoczky and Richard Rusczyk. See, in particular, the AoPS's Math Jams, guided improvisational problem solving sessions. Also, learn
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- The Art of Renaissance Science: Galileo and Perspective - Joseph W. Dauben, McMurry University
A hypermedia essay devoted to the genius of Galileo and the relation between his role in the Scientific Revolution and the equally remarkable achievements of Renaissance artists reflected, in part, in the discovery and application of mathematical perpective.
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- The Art of the Experiment: Educational Software - Symynet; Jeff Rasmussen, Ph.D.
E-learning software that teaches statistical analysis in the context of experimental design. Program information, free demo, pricing and discount information, and ordering information are all available on the site.
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- Art of the Grid - Ivars Peterson (MathTrek)
The idea of transferring information from one grid to another has a long history inboth mathematics and art. When the blank grid differs from the original grid, a drawing can suffer intriguing distortions. In art, the result is sometimes called an anamorphic
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