 Accurate Census Taking and Orderly Ants (Math Chat)  Frank Morgan; Christian Science Monitor
A column of ants marches in single file, until one ant falls away and they then march two by two, until another ant falls away and they then march three by three, and so on until finally they are marching 10 by 10. How many ants were there to start with?
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 All About Division (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering division facts and
division of whole numbers, decimals, and fractions.
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 Class Champ multiplication & division
Software intended to help children learn the times table by heart using Pop Times Table songs; show how multiplication works by displaying the question graphically; and quicken the child's ability to recall answers and allow the child to practice questions.
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 Conceptual Math Media, Inc.
Math educational products for both the classroom and family. Master multiplication facts and divisibility rules with PrimePak playing cards; create equations crosswordstyle with the Equate board game, also available via email. Order products online
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 Curious and Useful Math  Clay Ford
Tricks and rules for quickly calculating certain types of math problems, many from the 1888 book The Carpenter's and Joiner's Pocket Companion. Multiplication Tricks; Division Tricks; Squaring Tricks; Can it Divide...?; Age Math; Bible Numbers; Box Tricks;
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 Divide!  Andrew Starr
A web page used to demonstrate that if you divide any two integers, eventually the decimals will repeat.
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 Dividing 12foot Boards  NASA Lewis Learning Technologies Project
Lewis needs 1,500 boards to build a small rocket. Each board must be 3 feet long. If boards are sold in 12 foot lengths, how many boards must Lewis buy and cut into 3 foot pieces to get the 1,500 he needs? A detailed answer is provided. From NASA's 9th
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 Dividing by 0  Math Forum, Ask Dr. Math FAQ
Why can't you divide by 0? Why is 0/0 "indeterminate" and 1/0 "undefined"? Why is dividing by zero "illegal"?
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 Dividing Decimals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about dividing decimals, including how to divide decimals with a remainder.
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 Dividing Fractions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about dividing fractions, including an explanation of the "invertandmultiply" rule.
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 Dividing Fractions  Math Forum, Ask Dr. Math FAQ
How do you divide fractions? Say, 2/3 divided by 3/4.
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 Divisibility Criteria  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A definition of some divisibility criteria, and their derivation from modulo arithmetic, with links to related pages.
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 Divisibility Rules to 50 and Beyond  Stephen D.T. Froggatt; Math Forum, Ask Dr. Math FAQ
A quick way of testing primality of larger numbers: the idea of deleting the last digit and adding or subtracting a multiple of the digit from the remaining number can be generalized to test for divisibility by prime numbers up to 50 and beyond.
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 Divisibility War  Diane Reed
A game designed for secondary level students studying basic mathematics to use the divisibility tests to determine whether a number is divisible by 2, 3, 4, 5, 6, 9, and 10.
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 Division For Third Graders (SMILE)  Savannah Walker, Mason School
A lesson for grade 3 that uses measurement to demonstrate division. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Division with Roman Numerals  Jim Loy
Roman numeral division can be very easy or fairly difficult, depending on the two numbers. An example of division by pieces, and a general method using repeated subtraction.
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 Division Worksheets  Guru Angad Educational Team
Overviews and freely downloadable PDF worksheets on math facts, math families, basic division, and long division, with stepbystep solutions.
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 Don't Hate No Math  Elio Motella
Advice for students, parents, and teachers. The document called "Lecture" includes sections such as "The causes of your troubles," "It's called metacognition," and "Mental models and propositional representations"; see in particular Part D, titled "An
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 Double Division  Jeff Wilson
Double Division is a method for doing manual division that reinforces the principles of division and gives students success with a less frustrating alternative. The online calculator shows and explains each step. Feedback from teachers who've used the
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 Equate: The Equation Thinking Game  Conceptual Math Media, Inc.
Have fun creating equations crosswordstyle. An arithmetic version of Scrabble, Equate is a math board game for family and classroom. Earn higher scores by using division or fraction tiles, or by playing tiles on premium board positions that double or
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 The Euclidean Algorithm  David Sumner
Find the greatest common divisor (GCD) online using the Euclidean Algorithm. Enter two numbers, and the JavaScript calculates GCD, least common multiple (LCM), and linear combination; and displays the steps of the algorithm.
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 The Fair Division Calculator  Francis Su
An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable).
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 Fair Shares (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
The birthday party is over, and one chunk of thickly frosted, richly decorated cake is uneaten. Your mother insists that you and your sister slice the cake into two equal pieces, so that she doesn't have to listen to you fight over which is bigger. What
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 The Feeling of Power  Isaac Asimov
Science fiction that explores a time when only computers know how to multiply. "...seven times three is twentyone." "And how do you know that?" asked the congressman. "I just remember it. It's always twentyone on the computer. I've checked it any number
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 Financial Literacy Math Quizzes  HowToSaveMoney.me
Quizzes for practicing addition and subtraction of dollar and coin amounts, presented with pictures of US currency or as numerical expressions. "Grade My Quiz" or generate new problems with the click of a button. The site also offers finance calculators,
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 Formulas for fairness  Ivars Peterson  Science News Online
Applying the math of cake cutting to conflict resolution: researchers turn to the mathematics of cake cutting and point allocation to develop improved methods for people to use to settle disputes.
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 Fully Interactive Prime Number Simulation
A primality simulation created from three simple rules: each number N creates a circle with a radius of N; the circumference of each circle is divided by N, creating an arc of length of circumference/N; and each arc makes a complete rotation in N iterations.
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 Geometric Factoring  Suzanne Alejandre
A Math Forum Web Unit. Understanding factoring through geometry: students work cooperatively to display a numeral as the area of a rectangle, and make as many rectangular arrangements as possible for each numeral given.
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 Investigating LCM and GCF Using Rods  Margo Lynn Mankus
The objective of the lesson plan Investigating LCM and GCF Using Rods is to look at the Least Common Multiple (LCM) and Greatest Common Factor (GCF) from "handson" patternbuilding to using set theory. With teachers as the intended audience, the activity
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 Kids SyvumBook Series  Syvum Technologies, Inc.
Interactive educational software for English, Knowledge, and Math, targeted for kids ages 612. Each Kids SyvumBook offers multimedia strips and main activity frames. Four levels of Math SyvumBooks help improve arithmetic, algebra, and basic number skills
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 Learning to Factor  Math Forum, Ask Dr. Math FAQ
Examples of factoring from the Dr. Math archives: trinomials; greatest common factor (GCF); least common multiple (LCM); least common denominator (LCD); dividing polynomials by monomials; quadratics; and more.
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 Long Division  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about long division, with stepbystep explanations.
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 Magical Methods  Magical Methods Enterprises
A source for Vedic mathematics, as developed by Pradeep Kumar. Find examples of arithmetic shortcuts for calculating squares, cube roots, multiplication, and division. Play games such as a calculation speed builder; purchase products to prepare for the
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 Math Fun and Educational Gifts and Specials  24Hours7Days
Purchase Clever Catch Balls, Fraction Bars, Decimal Squares, Math Chase, and other board games and manipulatives for practicing addition, algebra, decimals, division, fractions, money, multiplication, patterns, subtraction, and time.
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 MathMastery  MathMastery.com
Play CyberChallenge Shockwave addition, subtraction, multiplication, and division games. Test Your Skills with placement exams (online or printable) on adding, subtracting, multiplying, dividing, fractions, and decimals. My Math Class offers Shockwave
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 Math Problem Solving  Rakiya Rahman
Techniques for doing algebra, multiplication, and long division, with examples and worksheets.
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 Math Travels  Real World Math
An integrated simulation of U.S. travel for grades 412. Students develop reading, writing, math, social studies, and art skills by planning vacations across states, applying concepts of measurement, multiplication, division, decimals, and time. The site
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 Memory Joggers
An aide to learning multiplication and division facts, using multiple learning modalities including seeing, hearing, speaking, drawing, and moving. Site includes description of the product, a sample lesson, description of the teachers' package, and ordering
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 Modern Math  Taoufik Nadji, Malek Physix Inc.
Mr. Taoufik Nadji's precalculus students at Interlochen Arts Academy introduce modern mathematical topics: fair division (methods: dividerchooser, lone divider, lone chooser, last diminsher, markers, sealed bids); graph theory (applications, terms,
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 A New Look At Long Division  Jim Loy
A different way of looking at the process: a stepbystep explanation of long division done using estimation, multiplication, and subtraction.
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 Next Generation Preschool Math  WGBH Educational Foundation
"Can engagement with activities in a mediarich curriculum supplement improve lowincome children's early learning of number and equipartitioning?" By developing and evaluating iPad apps for preschoolers, tools for tracking their progress, and guides
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 NUMDRUM  John T. Harrison
The "Numdrum" helps children understand addition, subtraction, and other fundamental arithmetic concepts. An alternative to the number line and the 10 x 10 number square, this "decimal helical number line" lists integers around a tube, ten to a turn,
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 Powers of 5 and Traveling to the North Pole (Math Chat)  Frank Morgan; Christian Science Monitor
What is the remainder when you divide 5^999,000 by 7?
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 ProblemoftheWeek  David Poole; Department of Mathematics, Trent University, Canada
Most of these problems can be done using only high school mathematics and logical reasoning. Eight problems with solutions and one without, from the fall of 1997, at Trent University, Canada. An email contact is listed, for those outside the university
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 Ralph A. Raimi Homepage  Ralph A. Raimi
The University of Rochester Professor Emeritus' notes on math education and nontechnical
writings with a mathematics theme include Whatever became of the New Math?; Have we forgotten the value of memory?, a comment on the New York Regents' Bexamination
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 Remainder/Divisibility Puzzles  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about remainder and divisibility puzzles, such as "Write 1,000,000,000 as the product of two numbers, neither of which contains any zeros" and "Arrange the digits 0 to 9 such that the number formed by the first digit
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 Rhymin' Times Tables
A multimedia software game to purchase for the PC (Windows 95 or later) that uses cartoon characters, musical tunes, and rhymes to teach the times tables, multiplication, and division. A free download is available.
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 Sovel PreAlgebra Class  Barry Sovel
In mathematics, we can use the term 'rule', but in reality, there are no rules, only proofs; therefore, we must be able to demonstrate and prove each mathematical statement and expression before we can apply the tag 'rule' to it. Five such demonstrations
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 Spliddit  Procaccia, Ariel; Goldman, Jonathan
Provably fair solutions to the everyday dilemmas of splitting rent, dividing goods, and sharing credit. Spliddit's algorithms account for individual rationality, efficiency, maximin share, proportionality, the highest feasibility level of fairness, impartiality,
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 syzygymatrix: solutions for small problems in the classroom  Jeff LeMieux
Generate cryptograms, division worksheets, fraction worksheets, and proportion problems. Select the length of dividend, denominators specified by the Washington State Standards for Grade 7, number of problems, and more. The worksheet maker prints solutions.
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