 Panthera's Puzzle Contest  Dr. Amy Galitzer; Puzzle University
A weekly contest of math, logic, and word puzzles sponsored by the American Mathematical Society and the University of Maryland Mathematics Department. You can submit your own puzzle for the next contest by signing up to participate, or simply read the
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 Paper Cup Mathematics  Jerry Neidenbach, Sue Harvey, and Marilyn McArthur; Park City Mathematics Institute
In this classroom activity, a PCMI Resource for Teachers, students investigate whether paper cups roll out the pattern of an annulus and how you can tell, how the dimensions of the cup relate to the dimensions of the annulus, and whether you can predict
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 paperfolding.com  Eric Andersen
Learn to fold origami from diagrams; read about the history of paperfolding, including the origin of the term "origami." The origami & math essay contains sections such as Origami, Geometry, and the Kawasaki Theorem; and Origami and Topology.
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 PaperFoldingFractals  Joel Castellanos, Rice University
A classroom teaching or personal learning software tool for Windows that can be an introductory lesson to fractals. Simple, stepbystep processes of paper folding can give rise to infinite verities of fractals. The user learns what fractals are and how
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 Paper Folding to Make Cubes (SMILE)  Koshy Kanicherilnalil, Chicago Public Schools
A lesson designed to develop students' ability to visualize threedimensional objects from twodimensional patterns by examining patterns of figures composed of six squares; predicting which of the twenty presented could be folded to make a cube; and
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 Paperforms: Polyhedrons for the Masses  John T. Vonachen
Geometric paper sculptures offered for sale.
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 Paperkit
Generate the exact type grid paper using this printable graph paper template. Specify format, units, spacing, margin, and stroke width and color.
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 Paper Models of Polyhedra  Gijs Korthals Altes
Dozens of paper models of polyhedra: Platonic and Archimedean solids, compounds, caleidocyli, and more. Print the images, cut, and glue them together, or download the models in zipped CorelDraw or GIF format.
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 Paper Mosaics  Alex Bateman
Origami tessellations consist of a simple crease pattern unit that gets repeated across a sheet of paper. Download Tess, a computer program that aids in the design of such tilings; and browse a gallery of works created with the application.
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 Paper Pool (SMILE)  Barbara Williams, Cook Elementary School
A lesson designed to teach students to recognize rectangles whose sides have the same ratio; use the concept of common factor to find rectangles with the smallest
area having a given ratio of sides; practice organizing data and looking for patterns;
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 Papers by Dr. Bert K. Waits  Dr. Bert K. Waits
In PDF format, essays include "The Role of HandHeld Computer Symbolic Algebra in Mathematics Education in the TwentyFirst Century: A Call for Action!"; "The Role of Graphing Calculators in Mathematics Reform"; "The Evolution of Instructional Use of
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 Papers on the History of Mathematics  Gregory Cherlin, Rutgers University
A random selection of term papers submitted in undergraduate, onesemester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton
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 Parabolic Path to a Best BestFit Line  Jeff Reinhardt and Joe Simons
To find the best bestfit line for a set of data, students will determine the line that minimizes the sum of the squared deviations from the observed data to that line. This activity uses dynamic statistical software (Fathom™ 2) to engage students in
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 Parcelles d'infiniPromenade au jardin d'Escher  Alain Nicolas
Book in French, largely composed of pictures, on methods of figurative tiling. Site includes links to related sites in French and English.
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 Parent Roadmaps to the Common Core Standards  Mathematics  The Council of the Great City Schools
Guides for parents of children learning the mathematics of the Common Core State Standards (CCSS), and how to support that learning. Running six to eight pages in length, each freely downloadable roadmap includes examples; sections such as "Partnering
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 Parent Toolkit  NBC Education Nation
Academic "growth charts," tips, benchmarks, advice, and other guidance for parents, organized by grade. Parent Toolkit also provides tabletfriendly parentteacher conference guides, checklists, and templates for taking notes.
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 Park School Math  Park School of Baltimore
The math teachers at The Park School (Baltimore, MD) agree that "learning how to think is at least as important a part of a good mathematics education as is the core content.... However, we are all in constant friendly mutual disagreement about how best
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 The Partnership for 21st Century Skills
The Partnership for 21st Century Skills is a national organization that advocates for the integration of skills such as critical thinking, problem solving and communication into the teaching of core academic subjects such as mathematics, reading, science
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 Party Games  Ivars Peterson (MathTrek)
You're one of six people at a dinner party. You would undoubtedly find that the dinner party includes either a group of at least three people who all know one another or a group of at least three people who don't know one another. The reason for this
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 PASCALC.com  Pascal C.
A Webbased calculator with output printed linebyline on the screen. You can pass series of calculations on to your peers by sending a link. Note: the link is not encrypted, and you might consider something like tinyurl.com to shorten the link.
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 Pascal's Fractals  Ivars Peterson (MathLand)
It's possible to convert Pascal's triangle into eyecatching geometric forms. For example, one can replace the odd coefficients with 1 and even coefficients with 0. Continuing the pattern for many rows reveals an everenlarging host of triangles, of varying
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 Pascal's Triangle and its Patterns
All kinds of information about Pascal's triangle: sums of the rows; prime numbers; hockey stick pattern; magic 11's; Fibonacci sequence; triangular numbers; square numbers; polygonal numbers; points on a circle; connection to Sierpinski's triangle.
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 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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