 OpenEnded Math Problems  Gwenn Holtz and Mary Lee Malen, Levering School and the Franklin Institute
An eightmonth slate of openended problems for middle school students to solve in preparation for standardized testing. The authors have composed and selected problems that lend themselves to multiple solution paths, and then organized them into three
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 Order of Operations  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about order of operations, such as "What is PEMDAS?" and the place of factorials in arithmetic operations.
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 Ostrich Llama Count  Examining Solution Methods  Suzanne Alejandre
Activity, alignments, directions, extensions, and activity sheets that detail five ways to solve the Problem of the Week (PoW) "Ostrich Llama Count." Originally published in the March, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics
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 Pattern Based Reason  Alan Selby
This book surveys rule and pattern based thought in daily life, society, science and technology. The first chapters show how reliable implication rules can be employed one at a time or one after another to arrive at conclusions. The middle chapters describe
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 PBS Mathline: Math at the Movies
Math concepts, challenges, and more, from the movies. For kids: solve puzzles from the movies; explore movie math concepts; and learn about a movie career involving math. Teachers, there are teaching and assessment tips here as well, not directly connected
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 Percentage Increase/Decrease  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about percentage increase and decrease, such as "Why doesn't a decrease of 15%, followed by an increase of 15%, get you back to where you started?" and "If I increase an initial amount by P percent, by what percentage
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 Perplexus  flooble
A large archive of mathematically inclined puzzles and problems displayed by category. Includes logic, number theory, geometry, probability and other problems. All are rated by difficulty and quality and discussed in depth by visitors. Most with solutions.
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 Peter Ash's Thoughts on Math and Education  Peter Ash
Musings on doing and teaching mathematics, book reviews, and math problems both elementary and advanced from the creator of Cambridge Math Learning. Blog posts, which date back to August of 2007, include "Very Proper Fractions"; "Physical Models for NonEuclidean
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 Piecewise Functions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about piecewise functions, such as how to graph them and how to determine the values of parameters that make a particular piecewise function continuous and differentiable.
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 Place Value  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about place value, such as how to write a decimal from words such as hundreds and hundredths.
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 PlaceValue: ProblemSolving and Written Assessment Using DigitCorrespondence Tasks  Ross, Sunflower
This study examined the effects of researcherdeveloped lessons on students' understanding of two and threedigit numeration. Digitcorrespondence tasks, often used for individual interview assessment of place value understanding, were adapted to be
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 Poetry and Mathematics  Math Forum, Ask Dr. Math Common Question
A selection of sites with mathematical poetry, including limericks.
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 Poker Probabilities  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about poker probabilities, such as "In a standard deck of cards, how many different ways are there to get a straight, a flush, a straight flush, one pair, or two pairs?"
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 Polygon Diagonals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about polygon diagonals, such as "How many diagonals can be drawn for a polygon with n sides?"
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 Positive/Negative Integer Rules  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about positive and negative integer rules, such as "When do two negative numbers equal a positive?"
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 Primality Testing  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about primality testing, from "How does the Sieve of Eratosthenes work?" to "Is there an algorithm to determine whether a very large number is prime?"
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 Problem Solving in Mathematics  Jim Wilson; Univ. of Georgia
Problems in algebra, geometry, conversion, cryptarithm, "mean," trigonometry, and a mixture of all, many with comments and solutions, from a course given in the Dept. of Mathematics Education at the University of Georgia. The site also provides links
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 Problem Solving Island  Samuel A. Rebelsky
Challenging openended word problems on the topics of games, such as Blockade, Finger Multiplication, and The Word Pyramid; puzzles such as Error Correction, Error Detection, The Fake Coin, Friday the 13th, and Leap Birthdays; and problems based on figures,
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 Problem Solving  It Has to Begin with Noticing and Wondering  Hogan, Marie; and Alejandre, Suzanne
Middle school teacher Marie Hogan observed as the Forum's Director of Professional Development modeled a full cycle of the Problems of the Week (PoWs) in Hogan's West Covina (CA) classroom. This coauthored article about their experience around the PoW
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 Problem Solving  Jenine Newman
See how one fifth grade class explains different ways to solve word problems. Their strategies include making a table or chart; drawing a picture; acting it out; looking for a pattern; and working backwards. With examples and handdrawn illustrations.
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 Problem Solving (SMILE)  Marilyn McCree, District 12
A lesson that uses a grocery store in the classroom to teach students to solve word problems using addition, subtraction, multiplication or division. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the
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 Problem Solving
(SMILE)  Patricia Rogers, Edward Hartigan School
A lesson designed to demonstrate some common ways problems can be solved; to list some basic steps in problem solving; and to suggest some useful strategies for solving word problems. From the Practical and Applied Math section of a collection of almost
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 ProblemSolving: Steps and Strategies (SMILE)  Sarah G. Barrett, Mars Hill School
A lesson designed to teach and reinforce strategies for problemsolving. Sample problems are included. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 Problem Solving Strategies  Finlay McQuade, Boğaziçi University (Turkey)
Strategies for solving problems, each illustrated with sample math challenges and worked solutions: draw a diagram; make a list; guess and check; divide and conquer; look for a pattern; start at the end. Also available in Turkish.
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 Productive Struggle
Group blog, with most contributions by secondary math and science teachers, that aims to "push teachers to learn in the same way that we push our students to learn" and "work together to make our struggles productive." Posts, which date back to March,
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 The Professor in a Syllabus: Elementary Algebra  Vision Alpha Products
Selfinstructional elementary algebra and arithmetic. Learn at your own pace from dozens of brief, animated, independent, selfteaching modules. Watch videos of TPIAS in action for distance learning, and its demo, before subscribing. Also available at
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 Purplemath  Your Algebra Resource  Elizabeth Stapel
Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics,
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 Puzzlemaker  Discovery Education
A puzzle generation tool for teachers, students and parents. Create and print customized puzzles, including math squares and number blocks, online, or buy a CD with editing tools and other extras.
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 Pythagorean Theorem Proofs  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about proofs of the Pythagorean Theorem, such as "Do you know the exact number of proofs of the Pythagorean Theorem in existence?" and "Why doesn't the Pythagorean theorem work for triangles other than right triangles?"
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 Quadratic Equations  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about quadratic equations, such as "When would you solve a quadratic equation in real life?" and "Why FOIL?"
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 Quadrilateral Classification  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about how to classify quadrilaterals, such as "Are squares rectangles? Are rectangles squares?
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 Quiz Me  D. Kell and Mercer County Community College
Interactive quizzes constructed using software provided by Addison Wesley Longman Publishers. Autoscoring, multiple choice selftests on whole numbers (place value, operations, applications, rounding, roots and order of operations); fractions (equivalencies,
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 Ratio  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about ratios, such as the difference between "rate" and "ratio" and "fraction"; "On a map, the scale states that 3 inches represent 125 miles...."; and "How can I write a ratio in three different ways?"
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 Reading a Protractor or a Ruler  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about reading a protractor or a ruler, such as "What do the little lines on a ruler stand for?"
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 Recommended Mathematics Literature  International Mathematics Olympiad (IMO)
A page of readings recommended by the International Mathematics Olympiad in association with Amazon.com Books. Major sections include: Problem Solving; Collections of Mathematical (Competition) Problems; Anthologies and Surveys; Number Theory; Analysis;
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 Reducing/Simplifying Fractions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about reducing and simplifying fractions, such as "How do you know when a fraction is in its simplest form?" and "What is the easiest method of reducing fractions to lowest terms?" and "Should fractions always be reduced
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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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 Resource Room (Math Central)  University of Regina, Regina, Saskatchewan, Canada
French version: Centre de ressources. A service of Math Central that allows mathematics educators to share resources having to do with math teaching. Submissions are stored in a database that can be browsed by educational level and curriculum strand,
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 Rich Maths Tasks to Engage  East Midlands Maths Network
These teachermade rich maths tasks in number, algebra, shape, and data handling emerged from a collaborative project run by Jon Stratford, Lead Practitioner for the Specialist Schools and Academies Trust (SSAT): arrangements, clock face, chocolate dilemma,
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 Rich Starting Points for ALevel Core Mathematics  Jonny Griffiths
Download PDF task files of 40 openended investigative activities for the A Level Pure Mathematics classroom: basic algebra, coordinate geometry, polynomials, curve sketching, uncertainty and inequalities, indices and surds, sequences and series, differentiation,
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 Rolling Dice  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about rolling dice, cube and octahedral, fair and biased, once and many times.
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 Roman Numerals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about Roman numerals, such as how they represented decimals and fractions; with memory aids for remembering what letter represents what value.
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 Rounding Numbers  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about rounding whole numbers. decimals, and fractions.
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 Scholastic Online Activities  Math  Scholastic, Inc.
Lessons and activities for grades PreK3 or 48, with sources listed: Kids USA Survey; Max's Math Adventures of interactive whiteboardready rhyming math activities, audio support, and printables; Math Maven's Mysteries; I Spy Oops Hoops; Math Hunt; and
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 Scientific Notation  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about scientific notation, using it to write very large or very small numbers, and adding, multiplying, and dividing with the notation.
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 Semple Math  Stevenson Learning Skills
Do you count on your fingers to add and subtract? Using a sequence of images, songs, rhymes, stories, associational clues, and other mnemonics to teach and build learning, Semple Math is a mathematics program for beginning, highrisk and/or remedial students
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 Sheppard Software
Software for SAT, GRE, math, and more, including: Algebra  One On One (covers 21 functions), License Plate Math (puzzles for ages 9 and up), Brain Builder  Math Edition (over 500 million puzzles), Math Function Mania (a multimedia game for grades 712
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 Significant Figures/Digits  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about scientific figures and scientific digits, such as "When are zeros significant and when are they not significant?"
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 Sine of the Times: Dividing the Universe by Zero  Colin Graham
A collection of thoughts on math by an "eternal student" with an "eclectic educational background." Posts, which date back to June, 2010, have included "Creative ways of integrating more water in the body," "My first online manipulative  virtual origami,"
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 Sketchpad Activities for Young Learners: Grades 35  Nathalie Sinclair
This collection of activities for grades 35 offers examples of the ways in which Sketchpad can be used across the range of mathematical subject areas in the elementary curriculum.
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