 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  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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 The Bad Maths Pool  Danny Nicholson
A UK teacher trainer's Flickr photo group "for all those images of crazy special offers and examples of things that just don't add up." Pictures, which date back to August, 2010, primarily consist of retail advertisements gone wrong with bulk discounting,
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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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 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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 Bar Chart Applet  Robert Scott Mitchell
Enter values for the ten bars; control their orientation, and the scale of the chart at runtime.
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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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 Baseball TIVY
Commercial site for an educational math strategy board game for students in roughly grades 38. Competitive involvement with two or more players individually or on teams; local, regional and national tournaments. "A proven winner for increasing test scores."
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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 Ten Block Activities  Margo Lynn Mankus
Manipulate a Base 10 Block Applet developed by Jacobo Bulaevsky to explore whole decimal numbers with blocks. There are printable examples of pattern blocks, graph paper, rods, and color tiles, and activities designed to make connections between the use
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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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 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 Math  SPEED Software, Inc.
Download PC shareware demos of arithmetic drill programs. With Math Flash Cards, customize your own deck of flash cards to practice adding, subtracting, multiplying, and dividing. With Fraction Flash Card, design your own deck of flash cards to practice
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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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 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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 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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 BEAM: Be A Mathematician
A mathematics curriculum development project for nursery, primary, special and lower secondary teachers. It publishes resource materials for teachers' use in the classroom, offers training courses for teachers, and provides consultancy in the area of
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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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 Beestar.org  Beestar Educations, Inc.
Providers of curriculumbased online programs for students, such as Beestar Progressive Exercise (BPE), a "systematic knowledge application and skillpractice program." See, in particular, the weekly math program; and dozens of freely downloadable sample
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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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 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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 BeiupMathsBacBrevet  Davy Rigaux
Maths, exercises, lessons, forum, chat... all in French.
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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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 The Benezet Centre  Richard Hake & Sanjoy Mahajan
In 1929, Louis Benezet tried an experiment, "abandoning all formal instruction in arithmetic below the seventh grade and concentrating on teaching the children to read, to reason, and to recite." The experiment was successful; this site includes Benezet's
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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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 Best Evidence Encyclopedia  Center for DataDriven Reform in Education
What mathematics programs have been proven to help students to succeed? The Best Evidence Encyclopedia (BEE) provides summaries of scientific reviews produced by many authors and organizations, as well as links to the full texts of each review. See ratings
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 Best Graphing Calculators  Dan Agostinelli
Reviews of TI's current graphing calculator models. The guide "TI Graphing Calculators in Exams" provides a tabular overview of the calculators allowed at the SAT, ACT, Advanced Placement (AP), PSAT/NMSQT, International Baccalaureate (IB), and Praxis
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 Best of the Web  Math
A directory listing of math sites on the web.
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 BestWebQuests.com/  Tom March
Tom March has designed and assessed WebQuests since 1995. He presents these top ten choices on the subject of mathematics: For the Love of the Game; Franchise; A Creative Encounter of the Numerical Kind; The Dilemma of the Dangerous Meat Loaf; The King
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 BetterExplained  Kalid Azad
Discover and share the "intuitive insights that make complicated ideas simple. Our 'ahha!' moments are different, and that's ok. There's no single way to explain an idea...." Preferring the construction of maps over the memorization of directions, the
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 A Better Mathematics Curriculum  Tom Davis; Math Forum, Ask Dr. Math FAQ
What should we be teaching students today? Dr. Tom provides his take on what would make a better math curriculum.
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 Between the Folds  Corporation for Public Broadcasting
Exploring the science, art, creativity, and ingenuity of origami, Between the Folds chronicles the stories of ten leading paperfolders and their works of art. The game "Match the Folds" presents three finished works of origami alongside the fold pattern
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 Beyond Extra Large (and Ultra Small)  Ivars Peterson (MathTrek)
Metric prefixes come in handy for expressing both large and small quantities. So we have megawatt power systems and gigabyte hard drives at the high end, and we have nanoscale electronics and femtosecond lasers at the low end. Advances in scientific research
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 Beyond TERC  Linda Moran
Share constructive ideas with other parents and seek advice from Linda Moran, a licensed math teacher and author of the Beyond TERC lens and the Beyond TERC blog.
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 Beyond the Block: Tessellating Patterns  Linda Hampton Schiffer
An article about using tessellations in quilt design.
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 Beyond the Ellipse  Ivars Peterson (MathLand)
There's a simple trick one can use to draw an ellipse. Tie the ends of a length of string to two pins (or thumbtacks) stuck in a sheet of paper on a drawing board. Then, keeping the string taut with the point of a pencil, allow the pencil to trace a path
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 Bibliography Index  MacTutor Math History Archives
About 700 books/articles on the History of Mathematics, some general works and some more specialised, intended to supplement the list of references attached to each biography or History topic in the MacTutor Math History archives. The items in the bibliography
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 Bicycle Tracks (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Students are to discuss passage from a Sherlock Holmes story, The Adventure of the Priory School (by Arthur Conan Doyle): 'This track, as you perceive, was made by a rider who was going from the direction of the school.'...
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