 Number Facts  Math Forum, Ask Dr. Math Common Question
A list of sites with facts, curiosities, trivia, and other information about individual numbers.
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 Number Sentences  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about number sentences and other puzzles involving order of operations, such as Four 4's and making 24.
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 Odds vs. Probability  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about odds and probability, such as gambling odds, probabilities in games of chance, and the difference between the terms "odds" and "probability."
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 Online Catalog: Math  EvanMoor Educational Publishers
Publishers of math activity and skillbuilding books: practice for basic math concepts and extensions into realworld situations. Activity cards, daily problem solving, word problems and more.
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 Online Ideas Maths Resources  James Bancroft
Problems in Microsoft Word, HTML, and JPG, organized into general resources; addition and subtraction; multiplication and division; numbers and the number system; fractions, decimals, percentages, ratio, and proportion; real life problems; measure and
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 Online Lessons Using Streaming Video  Your Other Teacher.com
Tutoring via streaming video and online tutors (using whiteboards). Free samples available. The math section includes arithmetic, prealgebra, factoring for algebra students, algebra 1 and 2, word problems, CAHSEE (California High School Exit Exam), introduction
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 Online Math Applications  Leung, Jiang, Jiang, Chiu, Klopfer, Chiu; ThinkQuest Junior
Activities, examples, problems, and online quizzes about math applied to real world situations in investing (a stock market simulation game), music (classical MIDI files), history (biographies and anecdotes), science (astronomy, computers, 'math in the
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 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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 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 Problems  Michael Pershan
Blog by a New York City math teacher trying "to better understand the connections between problem solving, learning, and teaching." Posts, which date back to May, 2015, have included "Getting Stuck on a Geometry Problem," "Minimalistic Hints Are Still
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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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 rawsonmath  Pamela Rawson
Blog by a math teacher at STEMfocused public charter high school. Rawson, who worked for 25 years in traditional public high schools in and around southern Maine, describes herself as "still learning." Posts, which date back to August, 2012, have included
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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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 Reason and Wonder  Michael Fenton
Blog by a Fresno (California) junior high and high school mathematics teacher. Posts, which date back to March, 2013, have included "Estimation 180 Rocks"; "Quadratics Matching Activity, Take 2"; "Solved the Student Engagement Problem Yet? Me Neither";
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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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