 Portraits of Albert Einstein  Robert Bruen
Numerous blackandwhite photographs of Einstein, provided by Robert Bruen.
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 Positive and negative Euler characteristic (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A symmetry pattern on the sphere always gives rise to a quotient orbifold with positive Euler characteristic. In fact, if the order of symmetry is k, then the Euler characteristic of the quotient orbifold is 2/k, since the Euler characteristic of the
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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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 Potent Problems  Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
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 Power and Pedagogy: Transforming Education through Information Technology  Robbie McClintock
A book from the Institute for Learning Technologies (ILTweb), Teachers College, Columbia University. Chapters include: The Computer as a System; The Educator's Mission; The Span of Pedagogical Possibility; Making a New Educational System; and Education
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 Power Cards: A Mathematical Puzzle  Cynthia Lanius
Choose a number from 131. Tell me which cards below contain the number, and I can tell you the number. How do I do it? (A hint and directions for making more cards are given.)
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 Power Conversion  MedCalc.com
Convert to and from watts, btus, cals, ergs, ftlbs, horsepower, kilowatt.
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 Power Math: Online Math Problem Solving
Algebra, geometry, and arithmetic formulas for grades up to 9th.
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 Power of 2 Publishing  David Sharp, Power of 2
Publishers of a series of books, intended to give structured support to those who benefit from more repetition and practice than is often available in the classroom. Power of 2 also offers workshops on using the books with students.
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 The Power of Innovative Scheduling  Robert Lynn Canady; Educational Leadership Journal
A November 1995 article. "Alternative schedules may not add hours to the school day, but they can vastly improve the quality of the time students spend at school." Issues facing all schools; scheduling tips for elementary, middle and high schools; references.
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 PowerPoint Tools  Don Link
Don Link, a sixth grade math teacher at Indian Creek School (Crownsville, Maryland), shares these PowerPoint files that he has developed and used with his students. Includes: A Geometric Proof of the Pythagorean Theorem; Exponents; Jeopardy Template;
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 powersfulmath  Brooke Powers
Blog by a Kentucky middle school teacher sharing "some of the ways I try and bring math to life for my students." Posts, which date back to February, 2014, have included "Standards Based Grading When You Can't Really Standards Based Grade," "Why I Always
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 Powers of 10  Michael W. Davidson, The Florida State University
This telescoping Java applet illustrates powers of ten. View the Milky Way at 10 million light years from the Earth, move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree  then begin to move from the
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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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 Powers of Ten  Bruce Bryson
A series of images based on the book Powers of Ten, by Philip and Phyllis Morrison and the Office of Charles and Ray Eames. Each picture's subject is ten times wider or narrower than the next. Images range from quarks at 1016 meters to groups of galaxies
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 Powers of Ten  Eames Office
An "adventure in magnitudes" that depicts the relative scale of the universe in factors of ten, originally written and directed by Ray Charles Eames in 1968. Starting at a picnic by a Chicago lake, every ten seconds this nine minutelong documentary short
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 Practical Assessment, Research & Evaluation  PAREonline.net
Practical Assessment, Research and Evaluation (PARE) is an online journal providing education professionals access to refereed articles that can have a positive impact on assessment, research, evaluation, and teaching practice, especially at the local
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 Practical Money Skills for Life  VISA
For educators, parents and students to practice better money management for life. Available online or in a binder format, the free classroom curriculum consists of a teacher's guide, student worksheets and quizzes. Teacher's Guide lessons cover topics
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 Praktick  Praktick Learning private Ltd.
Autoscoring practice problems aligned to the UK's Central Board of Secondary Education (CBSE) Standards, from prekindergarten to grade seven. Questions adjust dynamically based on performance, while a timer counts up response time; incorrect answers
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 Pre 20th Century Computing Devices  Rokeby High School, Rokeby, Tasmania
Contents include: Stone Computers; Abacus; Napier's Bones; The First Calculating Machine; Blaise Pascal's Adding Machine; Gottfried Leibnitz; The First Pocket Calculator; Jacquard's Loom; Luddites; Charles Babbage; The First Programmer; Herman Hollerith.
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 PreAlgebra (Middle School Math)  Homeworkhelp.com, Inc.
Free prealgebra lessons on: types of numbers (numbers and their properties, negative numbers); fractions (reducing, multiplying, dividing, adding and subtracting, mixed numbers, comparing fractions, ratios & proportions, percentages, decimals, scientific
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 PreAlgebra Problem of the Week  Math Forum
Math problems for students learning algebraic reasoning, identifying and applying patterns, ratio and proportion, and geometric ideas such as similarity. The goal is to challenge students with nonroutine problems and encourage them to put their solutions
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 PreCalculus  Math Forum
Links to some of the best Internet resources for precalculus: classroom materials, software, Internet projects, and public forums for discussion.
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 Precision Mathematics, "Home of the Merbs"  Joseph Balcuk, Precision Mathematics
Site for "The Spoils of Civilization", a game students can play through the entire school year. Students are required to compete in class and work together to build a civilization for the main characters, Merbs. Students can also use the online game forum
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 Preparing for Assessment  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: How can I prepare my students for assessments?
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 Preparing Teachers of Mathematics: Asking the Right Questions  Lynn Arthur Steen; St. Olaf College
Lynn Steen writes that the problems of teacher preparation arise from multiple sources and require correspondingly different solutions. About mathematics teachers, prospective mathematics teachers, and curriculum issues.
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 Preservice Teachers' Conceptions of Mathematics and How to Teach It  Annie and John Selden; Mathematical Association of America
"The way teachers explain mathematics depends, to a large extent, on the conceptual grasp they acquire in their college classes. In addition, they often teach as they were taught, modeling themselves after their college mathematics teachers as much as
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 The Presidential Awards for Excellence in Mathematics and Science Teaching  National Science Foundation
The Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST) is the nation's highest commendation for K12 math and science teachers. Read program information and facts, application packets, and press releases; look up awardees dating
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 President's Column (MAA)  Ken Ross
MAA President Ken Ross wrote this column for Focus on the need to connect K12 and collegelevel reforms.
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 The President's Educational Technology Initiative
This site promotes President Clinton's initiative, begun in 1996, to bring computers to every student in the United States. The site includes quotations and bibliography on the benefits of information technology, information on the administration's accomplishments
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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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 Prime and Composite Numbers (SMILE)  Charlotte Goldwater, Kenwood Academy
A lesson for grades 59 that presents a systematic method of deciding whether a number is prime. 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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 Prime Curios!  G. L. Honaker, Jr., Chris K. Caldwell
A collection of curiosities, wonders and trivia related to prime numbers. Look up a number (up to 10^21+) and find what connections it has to the primes. The database has over 3400 curios corresponding to more than 1960 different numbers. The number of
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 Prime Factorization Machine  James Brennan
A page that runs a script that will return the prime factorization of a positive integer (limited to numbers less than 1,000,000). Even with this limit, numbers with very large prime factors may take a few minutes to factor if your computer has a slow
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 Prime Hunter Game  Benny Lam, Gameducate.com
Hunt for prime numbers (or the largest prime factor in a composite number) from a board with a random layout of digits. Free download, or shareware version available. For Windows.
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 Prime Listening  Ivars Peterson (MathTrek)
Mathematician Chris K. Caldwell of the University of Tennessee in Martin has developed a scheme for listening to sequences of primes  to hear both simple patterns and perplexing irregularities found among those numbers. "Multimedia allows the use of
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 Prime Number List  James Brennan
A page with a script that generates a list of prime numbers. Once started, it will run until you click 'Stop' or your computer runs out of memory. A second page writes the list to a new Web page suitable for printing.
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 Prime Numbers
Browse primes smaller than 10 billion, or see a list within a given range, or have such a list emailed to you.
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 Prime Numbers  MacTutor Math History Archives
Linked essay describing the work on primes from Pythagoras through Gauss, Legendre, Riemann, and Valee Poussin, with additional sections on still unsolved problems, the latest prime records, and other web sites, as well as 21 references (books/articles).
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 Prime Numbers  Math Forum, Ask Dr. Math FAQ
What is a prime number? What's the 'Sieve of Eratosthenes'? What is the largest known prime?
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 The Prime Pages  Chris Caldwell; Dept. of Mathematics & Computer Science, Univ. of Tennessee at Martin
An index of information on prime numbers. Definition; Articles and information on primes, including how to find and prove primality, and a wealth of historical information. Lists of primes and prime factorizations, including the first x primes and the
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 Prime Presentations  Karyn Hodgens
K12 workshops for professional development. An established educational consulting firm providing nationwide staff development training in the areas of math and science.
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 A Prime Surprise  Ivars Peterson (MathTrek)
Many of the 100 or so people who had helped with the nineprime effort immediately signed up for the new quest and began checking numbers. To everyone's surprise, Manfred Toplic (the same!) set the new record, reporting on March 2 that he had found 10
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 Prime Talent  Ivars Peterson (MathTrek)
Whole numbers have all sorts of curious properties. Consider, for example, the integer 1998. It turns out that 1998 is equal to the sum of its digits plus the cubes of those digits (1 + 9 + 9 + 8 + 13 + 93 + 93 + 83). What's the largest number for which
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 Prime Time  Georgia Louviere
Student activities and teachers' pages designed to teach students to identify the first 25 prime numbers by using the "sieve" method first used by Eratosthenes, to explain why the number one is neither prime nor composite, and to demonstrate why the number
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 Prime Treasure Hunt  Ivars Peterson (MathTrek)
The headline shouted, "Hacker accused of using U.S. West computers on math problem." The Associated Press news report, dated Sept. 15 [1998], went on to describe how computer consultant Aaron Blosser of Lakewood, Colo., had enlisted 2,585 computers at
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 Printable Math Worksheets  Homework for Kids
Practice worksheets, most with randomly generated problems, on the following topics: learning numbers, addition and subtraction, multiplication and division, fractions, decimals, time, measurements, perimeter, area and volume, integers, set theory, equations,
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 Printable Math Worksheets  TestDesigner.com
Free printable math worksheets, with answer keys, on number concepts, measurement, geometry, algebra, and statistics. Customize your own tests by selecting from the growing database of questions  or create your own.
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 Printables: Student Handouts  The Learning Network
PDF format printable handouts. Browse by grade or subject; check out the featured handouts; or search for a topic of your choice. Other resources also available through the Lesson Planning Center links on the site.
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 Print Free Graph Paper  Jeremy Hughes
PDFs of Cartesian, polar, isometric and logarithmic graph paper, optimized for printing. Available in Imperial units (inches) or metric units (centimeters), and in a choice of scales.
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