 The Problem of Points  Isaac Reed
An ageold gambling problem led to the development of probability by French mathematicians Pascal and Fermat in the 17th century.
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 The Problem of the Knight: A Fast and Simple Algorithm  Arnd Roth
Download a Mathematica notebook that discusses different algorithms for solving the Knight's Tour problem, finding a path for the chess knight that visits every square once. For an Introduction, Implementation, and Examples, visit Roth's MaxPlanckInstitut
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 Problem of the Week Articles  the Math Forum @ Drexel
These three published articles give context to using the Math Forum's Problems of the Week with students: Writing to Develop Understanding: The Math Forum @ Drexel's PoWs; Problems of the Week Engage Students with Special Needs; and The Impact of the
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 ProblemoftheWeek  David Poole; Department of Mathematics, Trent University, Canada
Most of these problems can be done using only high school mathematics and logical reasoning. Eight problems with solutions and one without, from the fall of 1997, at Trent University, Canada. An email contact is listed, for those outside the university
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 Problem of the Week  Dr. Annalisa Crannell; Franklin & Marshall College
Puzzles to solve in number theory, geometry, probability, cryptography, and the like. See problems from 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, and 1997.
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 Problem of the Week  Duc Huynh
A new math problem each week, with an archive of past problems.
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 Problem of the week  Stephen Sproule
An index of sites offering Problems of the Week, organized by level: elementary, middle grades, high school, and advanced. Sproule appraises PoW sites according to whether or not they include solutions and archive past puzzles.
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 Problem Pictures  Richard Phillips
A CDROM of 184 attractive, unusual, or puzzling color photographs accompanied by activities for mathematics teaching. Images may defy explanation, motivate investigation, or inspire the viewer to answer a question. Other pictures may be the starting
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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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 Problems  Bojan Mohar
Conjectures in graph theory ranging from paths to colorings to matchings to crossings. With references, links to other collections of open problems, and chapters of the book that Mohar authored with Carsten Thomassen, Graphs on Surfaces.
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 The Problem Site  Douglas Twitchell
Math puzzles, brainteasers, strategy games, web quizzes, and informational pages. Flashpowered math games include Adders, Zap (slide tiles to move digits and add up to a specified sum), Side By Side (number rearrangement), One To Ten (given four numbers,
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 Problems of the Week  Math Forum @ Drexel
Our goal with the Problems of the Week is to engage students in nonroutine, constructedresponse mathematics investigations that integrate writing with problem solving in the math classroom. In addition to the Current PoWs and the Problems of the Week
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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
(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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 Problem Solving with Heron's Formula  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
A paper on the development and demonstration of Heron's formula for the area of a triangle given the lengths of its three sides. Problems and explorations are included for using Heron's formula.
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 Problems with a Point  Education Development Center, Inc. (EDC)
A collection of problems designed to help students in grades 612 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, homeschoolers, and others.
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 The Problem with Algebraic Models of Marriage Structure  James M. Cargal; The Math Forum
Algebraic models of marriage systems have been in use for nearly fifty years. These models continue to be a matter of controversy. Most anthropologists have found algebraic models abstract and unnecessary. Mathematical scientists have tended to consider
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 Procon Technology  Maths Tips and Tricks  Peter King
Math tricks, divisibility rules, and mental math tricks, many from a book by Kjartan Poskitt called Numbers  the key to the universe, one of the books in the Murderous Maths series published by Scholastic.
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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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 Professional Development Center (PDC)  Key Curriculum Press
Professional development opportunities from summer institutes to weekend workshops for teachers across the United States, with scheduled 1day, 3day, and 7day courses, as well as opportunities for custom offerings specific to district needs. In particular,
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 Professional Development in a Technological Age: New Definitions, Old Challenges, New Resources  Cathy Miles Grant
This paper looks broadly at the field of professional development and the underlying principles that guide current approaches. The paper suggests specific issues that come with the process of supporting teachers in technology use, and concludes with a
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 Professional Development Program: Learning Math Together  the Math Forum @ Drexel
Four types of professional development options: (1) Customized professional development offers opportunities for close collaboration and support over time. (2) Online professional development courses: sixweek courses based around the Problem of the Week
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 Professional Development Programs for Grade K12 Teachers of Mathematics  The State University of New Jersey  Rutgers
Read about and apply for summer institutes such as Institutes for New Teachers of Mathematics and Science, Helping All Students Succeed in Grades 712 Mathematics, the Leadership Program in Discrete Mathematics, and the DIMACS Connect Institute; conferences
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 Professional Development  Texas Instruments, Inc. (TI)
Learn about the T3 Teacher Leader Cadre Program, onsite systemic professional development; T3 Outreach Program, short term, onsite professional development; T3 international and regional conferences; free online courses for professional development;
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 Professional Homework Help
Solutions to your mathematics and statistics homework problems. Request a free quote.
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 Profession Jokes  Mathematicians  David Shay
Jokes about proofs, mathematicians, and mathematics.
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 Professora Karolina Barone Ribeiro da Silva  Karolina Barone Ribeiro da Silva
Aulas de geometria incluem geometria esférica e geografia, geometria não euclidiana e a física, uma guia com atividades simples sobre geometria euclidiana plana, e "de Euclides a Poincaré." Veja tambem as coleções
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 Professor Freedman's Math Help  Ellen Freedman
A mixture of sound, animation, humor and personal advice dealing with math anxiety for the adult student and community college learner. The site includes tutorial lessons, math assignments, study skills tips, information on learning styles, an online
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 Professor Geek  Jardel de Paula Pereira
Blog educacional com atividades, vestibulares, simulados, jogos, dicas para estudantes, e mais. Antigamente conhecido como Aprendaki.tk.
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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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 Professor Warwick Sawyer  Mark Alder
Articles by the author of Mathematician's Delight: "Things and Unthings  An approach to negative numbers," "The Contribution of Music to Mathematical Discovery," "Some Thoughts on Education and Mathematics," "Saturday Morning Mathematics in Cambridge,"
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 Professor Weissman's Software  Martin Weissman
Stepbystep algebra and precalculus tutorial software for Windows 95/98/NT. For all ages, middle school through college, useful for homeschoolers and as a math refresher. Downloads and upgrades are available online.
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 Prof. McFarland's Help Center for Mathematics Students  Thomas McFarland, Department of Mathematical and Computer Sciences, University of Wisconsin System
McFarland's handouts for courses such as Finite Mathematics, Basic Algebra, Calculus, and The Logic of Chess. Interactive (JavaScript) selftests or explorations cover integer and fractional exponents; factoring; reducing, adding, multiplying, and dividing
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 ProFootballFocus.com  Neil Hornsby
Which tight end (TE) is the best blocker for run and for pass? Which cornerback (CB) is the best run defender? Which tackle (T) was the worst pass protector in 2010? ProFootballFocus.com offers indepth and unique information on professional football
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 Program Information Guide Service (NCBE)  The National Clearinghouse for English Language Acquisition and Language (NCELA)
Short monographs that provide schoolbased personnel with information on innovative practices for working with linguistically and culturally diverse students: bilingual and ESL, language minority, immigrants, etc. The National Clearinghouse for English
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 A Progression of Primes  Ivars Peterson (MathTrek)
Searches for patterns among prime numbers  whole numbers exactly divisible only by themselves and one  have long served as stiff tests of the ingenuity and perseverance of mathematicians. In recent years, the use of computers has brought a steady stream
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 The Progress Report  Dan Lemay
A web log where the author shares successes, concerns, and commentary about teaching math to high school students.
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 Project 2061: Science Literacy for a Changing Future  American Association for the Advancement of Science (AAAS)
A longterm initiative to reform K12 education nationwide so that all highschool graduates will be literate in science. The project is creating a coordinated set of reform tools and services—books, CDROMS, online resources, and workshops. This site
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 Project ARISE (Applications Reform In Secondary Education)  Hogan Senior High School
ARISE is a curriculum development project funded by a National Science Foundation (NSF) grant to the Consortium for Mathematics and its Applications (COMAP). It is developing a 9th through 11thgrade secondary mathematics core curriculum in which applications
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 Project Atmosphere Australia Online  Sel Kerans; Australian Bureau of Meteorology
Online meteorological activities open to international schools. The site provides access to Australian weather observations, forecasts, and archived weather statistics, with information designed to educate the general public about weather and related
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 ProjectBased Instruction in Mathematics for the Liberal Arts  M. B. Ulmer; University of South Carolina at Spartanburg
Information and activities/projects for a complete projectbased postalgebra course for liberal arts majors, also suitable for use with high school courses following algebra. Activities are in PDF format.
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 ProjectBased Learning (Learning and Mathematics)  Blumenfeld, Soloway, Marx, Krajcik, Guzdial, & Palincsar; Math Forum
In this 1996 article, "Motivating projectbased learning: Sustaining the doing, supporting the learning," Blumenfeld and her colleagues at the University of Michigan describe projectbased learning and the benefits of using longterm projects as part
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 Project CALC: Calculus as a Laboratory Course  Lawrence C. Moore and David A. Smith, Duke University
An NSFfunded curriculum development project that has produced materials for a threesemester reform calculus course emphasizing realworld problems, handson activities, discovery learning, writing and revision of writing, teamwork, intelligent use of
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 Project Euler  Colin Hughes
Browse hundreds of challenging problems that require mathematical insights as well as computer and programming skills to solve. Popular puzzles include "Add all the natural numbers below one thousand that are multiples of 3 or 5," "By considering the
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 project Eureka
project Eureka is a collaboratively edited site for problem solvers/creators—regardless of problem or field. Add problems with quantifiable results; or group problems in a test.
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 Projectile Dynamics in Sport  Colin White
Treatise of a range of sports equipment. Authored by a Principal Lecturer at the University of Portsmouth, Projectile Dynamics in Sport begins with a mathematical treatment of the general principles of flight, examining balls, discusses, javelins, shot
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 Project IMPULS  Tokyo Gakugei University
Project IMPULS (Project for International Mathteacher Professionalization Using Lesson Study) offers opportunities and ideas for mathematics teachers using lesson study. The library includes lesson study about positive and negative numbers; division;
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