 Pascal's Triangle from Top to Bottom  Matthew Hubbard and Tom Roby
A comprehensive resource for the study of Pascal's Triangle. The section "Applications" addresses questions such as "What types of questions are answered by the binomial coefficients?" and "What number greater than 1 shows up most often in Pascal's Triangle?"
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 Pascal's Triangle Interface  Andrew Granville
A form that lets you visualize the entries of Pascal's triangle with respect to a modulus between 2 and 16. Select values for the number of rows, modulus, and the size of the image, and submit.
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 Pascal's Triangle  Ken Williams
Pascal's triangle, written out through row 19, by Ken Williams of the Math Forum.
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 Pascal's Triangle  Math Forum, Ask Dr. Math FAQ
What is Pascal's Triangle? How do you construct it? What is it good for?
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 Pascal's Triangle  Math Forum/USI
A Web unit designed to support workshops given by the Math Forum for the Urban Systemic Initiative (Philadelphia and San Diego). Read about the history of Pascal's triangle and learn to construct it; view illustrations of number patterns to be discovered;
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 Pascal's Triangle: Number Patterns  Math Forum
Some history and an interactive exploration of number patterns and an exploratory Internet Web unit for elementary, middle school, and high school, with lessons, number pattern studies, and links to relevant sites on the Web.
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 Pascal's Triangle using Clock Arithmetic  Jay's Corner
Exploring Pascal's triangle when the modulus is a prime; when the modulus is a power of a prime; and when the modulus has at least two different prime divisors. From mod 2 to mod 12, illustrated. (See also Part II.)
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 Pascal Triangle Applet  Sergey Butkevich
An applet that graphically presents Pascal's triangle modulo an integer number p; i.e. it computes the binomial coefficients. It can draw triangles with up to 650 rows with a p value between 2 and 30,000 (though it's not very clear above 15,000). The
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 Passalgebra.com
Pass algebra with this online study guide. Practice with hundreds of problems, with answers worked out step by step. Examples of study guide and exercises provided. $27 for 1 year; stepbystep instruction for $2.50/problem.
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 Pass Calculus  Le Site PassCalculus.com
Calculus question solution service. Solutions offered via email, phone, or fax; quotes are free; payment by credit card. Sample solutions and FAQ online.
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 A Passion for Pi  Ivars Peterson (MathLand)
Some of you may be familiar with the sentence: How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics! The number of letters in each word represents successive digits of pi: 3.14159265358979. How Simon Plouffe memorized
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 Passy's World of Mathematics
Lesson outlines by this Australianborn math teacher include Venn diagram word problems, combining like terms, translate word equations, and isometric drawing and 3d cubes; PowerPoint presentations include traversable networks, sharing using ratios, real
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 Pasta by Design  George L. Legendre
Photos of architect Legendre's 2011 book by the same title. Pasta by Design provides an illustrated taxonomy of over 90 forms of pasta, along with the mathematical formulae, descriptions of special attributes, and advice on specific cooking uses for each
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 Past Lectures  Gresham College
Dozens of video lectures by Robin Wilson, Gresham Professor of Geometry and former Visiting Professor in the History of Mathematics: "The Great Mathematicians," "Early Mathematics Day," "Lewis Carroll in Numberland," "Topics in the History of Financial
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 Pathfinder Services, Inc.
An Indianabased nonprofit which, among other projects, creates mathematics teaching aids, including Recycled Math Manipulatives, Fraction Islands, Pattern Blocks Plus, and Polyhedra Plus. Full descriptions and ordering information are provided. They
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 Path Puzzles  Erich's Puzzle Palace; Erich Friedman
Sixteen paththroughagrid puzzles; can you fill in the correct path? Answers provided.
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 Pathways to School Improvement  North Central Regional Educational Laboratory (NCREL)
A Web site that addresses school improvement issues about students, educators, content, methods, and the environment. Practical, actionoriented summaries of best practice and research, descriptions of schools that have successfully addressed issues,
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 Pathways to Science  Institute for Broadening Participation
Programs such as undergraduate summer research opportunities, graduate fellowships, postdoctoral positions, as well as resources and materials pertaining to recruitment, retention, mentoring, and funding of underrepresented groups on pathways to science,
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 PAT Online: Reports from the Practical Algebra Tutor Project  PACT Center, Carnegie Mellon University
An intelligent tutoring system, a sort of modified spreadsheet system, based on a theory of cognition developed by John Anderson and the NCTM standards. Try it out online, or: read articles about education, technology, and computer science; explore background
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 Pat's Math & Problem Solving Links  Pat McQuatty
Site recommendations from the math consultant for the Western Quebec School Board. See, in particular, Special Days (Hundredth Day of school, Math with the number 2000  twenty suggested math activities for the year 2000). Also mathrelated links for
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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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 Pattern  Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art crosscurricular class at Dartmouth College.
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 Patterns and Magic Squares  Recmath
This page looks at a particular subset of Magic Squares, those of order four which are 'continuous' (also known as pandiagonal, Nasik and Jaina). It explores the patterns possible when the numbers in these kinds of squares are
represented by a set of
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 Patterns in Mathematics (Teachers' Lab)  Annenberg Media
This lab, based on the professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel, explores patterns as they occur in logic, numbers, and words, focusing on how to develop "function sense" without simply
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 Patterns  Suzanne Alejandre
Links to Web sites with patterns. Students look through the pages and answer these questions: How do natural patterns influence us? How do patterns help us to solve problems? Can you put elements of a pattern into an order that can be measured? that
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 Pat Thompson's Home Page  Patrick W. Thompson
Research on students' development of algebra and calculus ideas in grades 316, on the nature of multiplicative reasoning and its role in learning sophisticated mathematical ideas, and on teaching and learning statistical and probabilistic reasoning.
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 Paul Erdos: An Infinity of Problems  Ivars Peterson (MathLand)
Paul Erdos died of a heart attack on Sept. 20 [1996] at the age of 83. Considered by many as one of the great mathematicians of this century and certainly one of the most prolific ever, he will be missed. For more than 50 years, Erdos wandered the globe
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 Paul's Online Math Notes and Tutorials  Paul Dawkins, Lamar University
Online notes and tutorials on algebra, calculus, and differential equations. Also, PDFs, some reduced to fit onto one printed page, offering a review of algebra and trigonometry, a primer of complex numbers, listing common math errors, suggesting how
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 Paul's Page of Pi  Paul A. Gusmorino 3rd
Most of the content of this site is focused on methods of calculating pi: Archimedes' method; Wallis' formula; Gregory, Leibniz, and Machin; Newton's fluxions; and Paul's 8192 digits. Also Pi Poems, Music of Pi, and Pi Links.
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 Paul Trow's Math Page  Paul Trow
Trow's interactive web pages and perl software let you graph the LotkaVoltera equations and see interconnected predator and prey populations plotted over time; model the trajectory of a cannonball for different muzzle velocities and angles of elevation,
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 paulus gerdes's Storefront  Paulus Gerdes
Purchase print editions or download Gerdes' titles, some also available in Portuguese, Dutch, and French: Drawings from Angola: Living Mathematics, Enjoy Puzzling with biLLies, Puzzle Fun with BiLLies, The Bisos Game: Puzzles and Diversions, Introducing
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 PAX Puzzle  PAX Puzzle
Wooden puzzles, rope puzzles, puzzles boxes, and board games for sale. Recommendations and gift sets available.
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 Payoff Calculator  www.payoffcalculator.info
Financial calculators for finding out how long payments will take to pay off a loan, mortgage, or car loan. These payoff calculators also estimate how much you can save by adding extra contributions to your payments.
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 PBS TeacherLine  PBS
A professional development resource delivering courses online for PreK12 teachers. Find course dates, graduate credit opportunities, and other information. Download the course tour for a preview of the experience of taking a course. See also the Virtual
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 PBS Teachers: Math  PBS Teachers
The Public Broadcasting System's Math Service, combining computing and telecommunications technologies to offer interactive data services and interactive video and voice services for education based on the NCTM Standards. The site features: resources,
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 PC Calc
Calculator program for Windows 2000/XP. Offers calculations, graphing, matrices, steps in solving equations, and more. Features listed and a free 30day demo is available on the site.
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 PCMI@MathForum  Suzanne Alejandre, Jim King
An overview and, in some cases, details of the working groups, schedules, and projects from each summer session: Research Program, Graduate Summer School, Undergraduate Program, Mathematics Education Research Program, Undergraduate Faculty Program, High
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 PCS Edventures  PCS Edventures!.com, Inc.
Education company with a product line ranging from handson learning labs in technologyrich subjects like engineering, science, math, robotics, IT, and electronics to administrative tools designed to help schools manage the enormous amounts of data required
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 Pédagogie Mathématiques  Académie de Rennes
De nombreux documents pédagogiques (du collège au BTS), des jeux ainsi que d'excellents exemples d'utilisation des T.I.C.E. (technologies de l'information et de communication pour l'enseignement) des maths.
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 PDK Poster Project  Pamela Davis Kivelson
"Using Visual Means to Challenge Stereotypes." Posters for scientific literacy, humanizing the image of research science and scientists, and increasing the number of women and girls who choose to pursue and maintain careers in the physical sciences and
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 Peanut Software for Windows  Rick Parris
Abstracts and links for downloading free mathematics software: Wingeom (highprecision geometric constructions); Winplot (generalpurpose plotting utility); Winstats (scatter plots, curve fitting, histograms, statistical data, and standard theoretical
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 PearlQuiz  Web Pearls Inc.
A math quizauthoring system in three parts: an application platform that manages databases and computational engines; a server of HTML and JSP pages; and an author application for writing, editing, and publishing quizzes. Question types include true/false,
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 Pearson Learning  Dale Seymour Publications
A leading publisher of educational materials, emphasizing math, science, and the arts. The site contains: an online catalog; math curricula include: CMP (the Connected Mathematics Project) and Investigations (Investigations in Number, Data, and Space,
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 Pearson Math Stats  Pearson Learning
Pearson Learning brings you free activities for students to use with WolframAlpha. The questions teach input and command syntax or reinforce answer interpretation or the concepts of intermediate algebra.
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 Peaucellier's Linkage  Evelyn Sander, for Math 5337, The Geometry Center
Peaucellier's Linkage is a simple toy that could be constructed using straight rods attached together. The lab gives instructions for constructing and studying the linkage in Sketchpad. It then uses Sketchpad to explore the geometric properties of inversion,
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 Pedagogy Articles  Schiller
Translations of papers by G.W. Leibniz on the catenary (or funicular curve) and by Gauss on the Fundamental Theorem of Algebra.
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 Peek: Ndimensional polytope visualization by crosssection and projection  Gordon Kindlmann
A program to explore higher dimensional objects interactively through the use of crosssections and projections. The goal is for the user to gain some intuition about higherdimensional geometry. Projective views and 3dimensional crosssections of hypercubes.
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 Peeze  Patrick Snels
Tessellations and Escherlike perspectives, and tessellations of names, with Peeze, a tessellation program (Windows, PC) to download.
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 Peg Cagle's Math Education News & Views You Can Use  Peg Cagle
Blog by a secondary math teacher in the Los Angeles public schools where she "shares news, views, and whatever I choose, all with an eye to issues impacting K12 math education instruction, curricula, research and especially policy." Posts, which date
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 Pell's equation
 MacTutor Math History Archives
Linked essay on the indeterminate quadratic equation. With references and other related web sites.
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