 Axiom (Encarta Encyclopedia 2000)  Robert M. Baird; Microsoft Encarta Online
Axiom, in logic and mathematics, a basic principle that is assumed to be true without proof. The use of axioms in mathematics stems from the ancient Greeks, most probably during the 5th century BC, and represents the beginnings of pure mathematics as
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 The Aztec Calendar: Math, Geometry, and Design  Charles William Johnson
A site that explores the relation between the mathematics of ancient reckoning systems, expressed in historically significant numbers (cited in the historical record), and designs within the geometry of ancient artwork. The complexity of design within
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 The Aztec Calendar  René Voorburg
Historical information and illustrations of the two more or less independent systems comprising the Aztec calendar, one having 365 days and based on the agricultural or solar year, the other with 260 days. A Calculator allows you to enter a date in the
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 Babylonian and Egyptian Mathematics  MacTutor Math History Archives
Linked essay describing the character and accomplishments of these two early mathematical systems, with references and other related web sites.
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 Babylonian numerals  MacTutor Math History Archives
Linked essay exploring the development of the Babylonians' number system, with ideas inherited from the Sumerians and the Akkadians. From them came base 60, or the sexagesimal system, but neither the Sumerian nor the Akkadian system was a positional system
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 Backpack Project  Germantown Academy
Spurred by an orthopedic surgeon's report recommending how much weight a person should carry, teams of fifth and twelfth graders examined student backpack weights in relation to body weights in all three divisions of their school, weighing over 800 students
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 Bagatrix Mathematical Software  Bagatrix Solutions, Ltd.
Commercial software that features stepbystep solutions to userentered problems, with prompting. Titles include: Solved! Studio (comprises Basic Math, PreAlgebra, and Algebra titles), Algebra Solved!, PreAlgebra Solved!, Basic Math Solved!, Graphing
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 Baker's Choice  Key Curriculum Press
An Interactive Mathematics Program (IMP) unit for replacing about three weeks of student practice with graphs and equations in a traditional algebra, advanced algebra, or even geometry or precalculus class. Purchase teacher's guide and student materials.
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 The Bakhshali manuscript  MacTutor Math History Archives
Linked essay on the discovery and history of an early mathematical manuscript. The Bakhshali Manuscript is a mathematical work written on birch bark, found in the summer of 1881 near the village Bakhshali in Mardan tahsil, 50 miles from the city of Peshawar
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 Balanced Assessment in Mathematics  The Concord Consortium
From 1993 to 2003, the Balanced Assessment in Mathematics Program existed at the Harvard Graduate School of Education. The project group developed a large collection of innovative mathematics assessment tasks for grades K to 12, and trained teachers to
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 Barcode Encoding  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Barcodes are used with various encodings all over the world to simplify product identification, especially in retail. The site explains the most popular encodings, like UPC (Universal Product Code), ISBN (Intenational Standard Book Number), and EAN13
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 Barry G. Adams
Barry Adams is a professor of mathematics and computer science at Laurentian University in Ontario, Canada. His website includes many Java applets, including elementary numerical methods (i.e. Newton's Method), various examples of chaotic attractors,
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 Barry Garelick, Author at Education News  EducationNews
Articles by Garelick, who teaches middle and high school math in California, have included "The Myth About Traditional Math Education," "Fran, Henderson & Pingry, and Me: A Tale of Problems vs Exercises," "Mathematics Education: Being Outwitted by Stupidity,"
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 Base 10, Base 2, and Base 16  Walter Davis
Examples of different bases. There are several ways to represent a value using symbols. Roman numerals are an example. Position valued representation (PVR) is another example, the one with which we are the most familiar. With PVR, a limited number of
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 Baseball Heat Maps  Jeff and Darrell Zimmerman
Heat maps, Loess curves, Pitch F/X and Retrosheet downloads: actual vs expected home runs; home run and fly ball distance leaders; total batted ball distance; ground ball and line drive pull percentages; batter swinging or looking strike zone; batter
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 BaseballSavant.com  Daren Willman
Daily feeds of Major League Baseball (MLB) player matchups and advanced statistics on those players. See, in particular, Willman's Instant Replay Database, which analyzes umpire reviews and manager challenges of fair or foul in outfield, fan interference,
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 Base Considerations  Keith Devlin (Devlin's Angle)
A discussion of base systems, including negative bases, used in computers. "We are so used to computers nowadays that it seems obvious that computer arithmetic should be performed in a binary fashion. After all, this is the most natural form for a computer,
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 Base Conversion Routine  David Cronin
This is a Javascript base conversion program for bases 2 through 36. The author writes: "Feel free to make use of it. It's limited only by the precision of enviroment runtime."
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 Base Converter  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A fairly highlevel introduction to binary and other base systems, with a Java converter and links to related pages including: arithmetic operations in various bases, algorithmic conversion procedure, linguistic fun with base 36, Napier bones, abacus,
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 Basic Concepts in Nonlinear Dynamics and Chaos  Keith Clayton
An introduction to chaos, dynamic systems, and fractals, with a glossary of important terms.
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 Basic Geometry of Voting  Donald G. Saari
A book that offers a large number of new results about voting theory, its emphasis purposely placed on three candidate settings so that the book can be read by almost everyone. (With four or more candidates, the results need more advanced mathematical
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 Basic Ideas in Greek Mathematics  Michael Fowler; University of Virginia
Lecture notes from a course entitled "Galileo and Einstein." Nailing down the square root of 2. Zeno's paradoxes: Achilles and the tortoise. Proving an arrow can never move  analyzing motion, the beginning of calculus. How Archimedes calculated Pi to
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 Basic Math Concepts and Fundamentals  R. H. Logan
A series of readings and practice problem activities designed to alleviate "math anxiety," for those planning to take a science course but uncertain about the math preparation. Includes lessons and practice problems. The topics covered are especially
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 Basic Mathematics  Jetser Carasco
Short, instructive articles that explain fractions, ratio and proportion, number theory, basic geometry, graphs, decimals, percents, and some algebra. This site, created by a math major who has taught high school math since 2008, also offers free math
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 The Basic Math Quick Reference Handbook  Pete Mitas
This handbook, written by an experienced math teacher, lets you quickly look up definitions, facts, and problem solving steps. It includes over 700 detailed examples and tips to help someone improve
their mathematical problem solving skills. The web
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 Basic Skills Resources  National Institute for Literacy
The Basic Skills Resource Collection focuses on reading, writing, mathematics and numeracy resources that can improve instruction in basic skills. Each resource listing features an abstract and a review by an expert in the field. Resources in this Collection
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 Basic Terms  Mark Motyka, Math League Multimedia
Definitions and illustrations of basic geometric terms: lines, points, intersection, line setments, rays, endpoints, and parallel lines.
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 Basic TI82 Tutorial  University of Illinois at UrbanaChampaign
An online interactive tutorial that starts from scratch with turning on the TI82 calculator and takes you through the basic steps needed to do arithmetic and function evaluation and to enter, graph, and tabulate functions. You use a TI82 as you view
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 Basic TI92 Tutorial  University of Illinois at UrbanaChampaign
An online interactive tutorial updated for the new TI92 layouts and commands. It begins with turning on the TI92 calculator and proceeds through the basic steps needed to do arithmetic and finally to entering, graphing and and tabulating functions.
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 BasketMath Interactive  Robert Cummings, Science Academy Software
Science Academy Software's BasketMath online interactive application drill and practice site offers autoscoring questions in arithmetic, rounding and writing numbers, order of operations, factoring, adding or multiplying signed numbers, calculating perimeter
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 Battleship Puzzles  Erich's Puzzle Palace; Erich Friedman
There are five 3 x 1 ships hidden in each puzzle grid, each ship with a different number from 1 to 5. The numbers at the sides of the grid give the sum of the numbers on all the ships in that row or column. Ten puzzles, with answers provided.
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 A B Cron Portal  Auston B. Cron
GeoGebra applets by a teacher who has taught high school and early college students since 1970, and uses his dynamic geometry animations and interactive sketches in his classes to teach angle sums; perimeters and areas of rectangles and squares; reference
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 Beacon Learning Center  Beacon Learning Center
Beacon Learning Center is an online educational resource and professional development center funded through a grant from the U. S. Department of Education, 20002005. The resources posted in the Beacon database are products of professional development
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 BEATCALC Archive  Math Forum
An archive of B. Clay's BEATCALC weekly mailing list. Amaze your friends by memorizing a few simple rules and doing mental math tricks faster than they can do them on a calculator. Squaring, multiplying, dividing, adding, and subtracting numbers; finding
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 The Beauty of Chaos  Uwe Krüger
A database of over 500 pictures of the Mandelbrot set. Also links to a CDROM and other fractal image sites.
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 Bee Alert  University of Montana
Bees and portable computers can now be used to assess environmental hazards through the development of electronic hives, toxicological models, extensive databases, and patternrecognizing software that help assess risks posed by metals, radiation, carcinogenic
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 Beeneet Kothari Wins First $1000 National High School Calculus Student Award (Math Chat)  Frank Morgan, MAA Online
Beeneet Kothari of Half Hollow Hills High School West, Long Island, has been awarded the first $1000 National High School Calculus Student Award by ecalculus.org, based at the University of California at Davis and Williams College. In ninth grade he wrote
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 Before Pythagoras: The Culture of Old Babylonian Mathematics  New York University Institute for the Study of the Ancient World
This archaeological exhibit explored the world of Old Babylonian mathematics through cuneiform tablets, and illustrates how the ancient civilization performed arithmetic on numbers based entirely on two symbols. Online highlights include images of a multiplication
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 ... Before This Decade Is Out ...  Keith Devlin (Devlin's Angle)
With four thousand professionally active mathematicians gathered together, the January Joint Meeting provides an opportunity to check the pulse of the US mathematical community and to look for any significant new trends... "Make the preparation of K12
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 The Beginnings of Set Theory  MacTutor Math History Archives
Linked essay describing the rise of set theory from Cantor (with discussion of earlier contributions) through the first half of the 20th century, with another web site and 25 references (books/articles).
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 Behind the Numbers  Jonathan Sills; ESPN SportsZone
A monthly column that explores the gray area between math and sports and what happens when exact calculations meet the human, unpredictable factors that make sports so entertaining. A combinatoric and probabilistic analysis of changes in World Cup soccer
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 Being a Professional Mathematician  Mann, Tony; and Good, Chris
Resources about becoming a mathematician include recorded interviews with them, historians, and representatives of the professional bodies and learned societies that support them; outline worksheets for undergraduates; suggested essay topics, project
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 Bending a Soccer BallMathematically  Michael Trott
With the World Cup under way, Michael Trott was asked by American Scientist magazine to help with some graphics to illustrate their feature article, "The Topology and Combinatorics of Soccer Balls," by Dieter Kotschick. Michael explains, "Using various
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 The Benefits of MixedAge Grouping (ERIC Digest)  Lilian G. Katz
"Goodlad and Anderson, who introduced the modern notion of the nongraded elementary school in 1959, raised our awareness of the fact that age is a crude indicator of what learning experiences children are ready for... The terms 'ungraded' and 'nongraded'
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 Benford's Law and Zipf's Law  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
With the eerie but uniform distribution of digits of randomly selected numbers, if the numbers under investigation are not entirely random but somehow socially or naturally related, the distribution of the first digit is not uniform. One may expect 1
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 Benoit Fractal Analysis System  TriSoft International, Inc.
Windows fractal analysis software that enables you to measure the fractal dimension and/or Hurst exponent of data sets using a choice of method(s) for analysis of selfsimilar patterns and selfaffine traces. A white noise filter (Fourier or Wavelet)
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 ÜberFan  UberFan, LLC
"The fan's electronic baseball card," UberFan.com gives each fan ownership of Major League Baseball statistics by collecting them from the games he or she watches. Satisfy your curiosity for how many home runs you've seen your favorite batter hit, for
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 Bernhard Kutzler's Collection: Technology in Mathematics Education  Bernhard Kutzler
Read or download the author's articles: "Algebraic Calculators as Pedagogical Tools for Teaching Mathematics"; "Indispensable Manual Calculation Skills in a CAS Environment"; "TwoTier Exams as a Way to Let Technology in"; and "Interconnectivity  Derive
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 Berrie's Statistics Page  Berrie Zielman
Statistical concepts illustrated using small QuickTime movies. Topics include: Interactive graph of the central limit theorem; normal approximation of the binomial distribution; Poisson distribution; Mean and Variance in the Normal Distribution; Graph
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 Bertrand: Symbolic Logic ProblemSolving Software  Larry Herzberg
Using a decomposition/instantiation algorithm inspired by the 'consistency tree' method found in Leblanc and Wisdom's textbook Deductive Logic, Bertrand solves sets of firstorder symbolic logic statements (subjectequality supported) for satisfiability
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