 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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 Bessel, Friedrich Wilhelm (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
A short biography of Friedrich Wilhelm Bessel (17841846), the German astronomer and mathematician, best known for making the first accurate measurement of the distance to a star.
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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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 The Best Two Points in a Square (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: Where do you think you should you place two points in a unit square to minimize the average distance in the square to the nearest of the two points? Computer calculations by Al Zimmermann yield configurations of 211 points
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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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 Better Math Teaching Nework
Designed to better understand studentcentered instruction in high school mathematics, this project involves the creation of a Networked Improvement Community (NIC), where researchers and educators work sidebyside to examine instruction through a continuous
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 Between Arithmetic and Algebra  Cut the Knot!, Alexander Bogomolny
What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression
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 Between Arithmetic and Algebra  Cut the Knot!, Alexander Bogomolny
What is the difference between the arithmetic 3 + 5 = 5 + 3 and the algebraic a + b = b + c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives
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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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 Beyond the IndividualSocial Antimony in Discussions of Piaget and Vygotsky  Cole, Wertsch
A discussion of the ongoing debate about the relation between the ideas of Vygotsky and Piaget, emphasizing a cardinal difference between them: their views concerning the importance of culture, in particular, the role of mediation of action through artifacts,
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 Biased Rectangles?  Carol Hattan et al., Park City Mathematics Institute
This classroom activity, a PCMI Resource for
Teachers, is an adaptation of a lesson from the NCTM Navigating through Data
Analysis in Grades 912, chapter 1, to be used with Fathom© rather than a
graphing calculator. The original "100 rectangles"
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 The Bible Code That Wasn't  Keith Devlin (Devlin's Angle)
Just over a year ago, journalist Michael Dronin's book The Bible Code hit the bookstores  and soon after that the television screens and review pages of national newspapers  and quickly became an international bestseller. Both author and publisher made
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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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 A Bibliography of Mathematics Education  Paul Ernest, University of Exeter, U.K.
A 1994 electronic bibliography prepared for students at the University of Exeter, U.K. Contents: Society, Diversity And Mathematics Education; The Learning Of Mathematical Topics; The Psychology Of Learning Mathematics; Teaching Approaches And Resources
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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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 The Big_Number Page  Jerome Delcourt
Libraries written in the Ada programming language for computing large numbers (mainly large integers) greater than the predefined numerical types.
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 Big Integers in JavaScript  Leemon Baird
A JavaScript library for arbitraryprecision integers. This page performs RSA in any base: binary, decimal, hexadecimal, base 64, and base 95 (whole keyboard), in which the message can be ordinary text. The library allows addition, subtraction, multiplication,
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 The Big List of Puzzle and Riddle Pages  MindBreakers Associates Inc.
An annotated list of links to sites with collections of math and word puzzles; also the best puzzles (the files), ranked for coolness and difficulty, with solutions and discussion: Gold for free; Just draw a line...; Turn on a lightbulb; the Wizard and
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 The Big Mac index  The Economist Newspaper Limited
The Economist's lighthearted guide to currency alignment based on the theory of purchasingpower parity (PPP). Never intended as a precise gauge of currency misalignment, "Burgernomics" has made exchangerate theory "more digestible" since 1986. Mouse
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 BigPictures Index  MacTutor Math History Archives
An alphabetical list of pictures of mathematicians accompanying the archives.
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 Big Picture: What Does 'Numeracy' Mean?  Iddo Gal
Numeracy is a term increasingly used in publications aimed at adult educators, yet its meaning and purpose may be unclear. This article briefly examines the importance of numeracy and the implications for those working with the GED Tests.
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 BigPrimes.net  BigPrimes.net
An archive of primes, plus information on each prime, and on prime numbers in general, number systems, types of numbers, and universal constants. The number cruncher will tell you facts about numbers you submit.
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 The Big Six Skills: Information Skills Instruction  Eisenberg, Berkowitz
Information and technology literacy programs. Big6 is a systematic approach to information problemsolving, useful whenever an individual has an informationoriented problem. Six skills are listed, with examples for potential uses, a store, a bibliography,
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 Bilingual Mathematics Dictionary / Diccionario Bilingüe de Matemáticas  Norman Koch and Denise Meeks
An alphabetical list of terms in English with their corresponding Spanish translations, from abacus (el ábaco) to zone (la zona). The purpose of this glossary of math terms is to make readily available in one convenient document a list of terms
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 Bill Cutler Puzzles  Bill Cutler Puzzles, Inc.
Wooden puzzles for sale: six piece burr puzzles, rectilinear burr puzzles, nonrectilinear burr puzzles, boxfilling puzzles, and miscellaneous puzzles. The computer program BCPBOX solves boxpacking problems such as pentominoes; GENDA determines how
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 Billiards in the Round  Ivars Peterson (MathLand)
On a level, rectangular table, a practiced billiard player can return the balls to their original positions, repeat a shot, and obtain an identical result. The geometry of the table, however, can greatly influence the types of motion possible in a game.
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 The Billion Prices Project  Roberto Rigobon and Alberto Cavallo, Sloan School of Management, Massachusetts Institute of Technology
The Billion Prices Project monitors the daily price fluctuations of millions of items sold by hundreds of online retailers in more than 70 countries. The Billion Prices Project (BPP) then uses those data to conduct economic research into pricing and sales
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 The Binary System  Norfleet, Singleton; Wayne State University, Detroit MI
A short history of the binary system; binary to decimal and decimal to binary conversion; binary addition and multiplication; logic gates, and a glossary.
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 BinaryTranslator.com
Translate text to binary and vice versa, and similarly convert between binary and decimal.
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 Binomial Coefficients  Bill Hammel
A collection of identities and formulas involving binomial coefficients: defined by factorials, appearing in Pascal's Triangle, derived with choose notation and summation formulas, approximated by Stirling's Formula, and more.
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 Binomial Coefficients  Jay's Corner
A binomial is an algebraic expression with two terms, like x + y. When we multiply out the powers of a binomial we can call the result a binomial expansion. Multiplying out an expression is just a matter of using the distributive laws of arithmetic, a(b+c)
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 The Binomial Expansion and Infinite Series  Don Cohen (The Mathman)
Pascal's triangle of numbers, although named after Pascal, was known much before his time. If there is one piece of mathematics that exhibits many patterns, this is it. There are triangular numbers and tetrahedral numbers, and even the Fibonacci numbers
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 Biografias y Vidas  Biografias y Vidas, S. C. P.
Biographies in Spanish, including those of mathematicians. Using the advanced search (Buscador Avanzado), search for matematicas in the description.
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 A biographical sketch of Ada Byron, Lady Lovelace  Dr. Betty Toole
A brief biography and book reference of Ada Byron, Lady Lovelace, one of the most picturesque characters in computer history, who suggested to Babbage a plan that is now regarded as the first "computer program." Also Ada Lovelace's Notes on her translation
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 Biographical Studies  Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
Biographies of: Emmy Noether (18821935) mathematician; David Dale Owen (18071860) geologist; Joseph Granville Norwood (18071895) geologist; Margaret Chappellsmith (18061883) lecturer and writer; John Chappellsmith (18061895) artist and writer; Eduardo
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 Biographies Index  MacTutor Math History Archives
An index of pages on famous mathematicians throughout history, arranged alphabetically or chronologically and searchable by keyword. There is also an index of female mathematicians, and a full alphabetical index.
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