 Probability (SMILE)  Sandy Reed, Robert Fulton School
A lesson for grades 58 designed to help students learn, discover, explore and make a table of the number of times a specific event can occur, considering the results of two types of events: repeated sampling with replacement (events are independent)
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 Problem at the Art Gallery  Ivars Peterson (MathLand)
The Crystal Art Gallery was being readied for its grand opening, and I had to figure out how many guards were needed to make sure that every wall of paintings was under scrutiny. I was also ordered to keep costs as low as possible. The trouble was that
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 ProblemAttic  EducAide Software
Thousands of questions from New York State Regents exams, the National Assessment of Educational Progress (NAEP), the Trends in International Mathematics and Science Study (TIMSS), academic competitions, and other test banks. Sign up for a free account
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 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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 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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 Problem of the Week  Richard Mann
A new word problem, math challenge, or other puzzle posted each week since November, 2008, by a Saint Ann's School teacher, with student acknowledgements to follow.
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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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 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  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 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 Using Percentages (SMILE)  Thelma A. Rex, Rosa L. Parks Middle School
A lesson designed to teach students to recognize three basic percentage problems: using M&Ms to find what percent one number is of another; find a percentage of a number; and find a number when the percent is known. From the Practical and Applied Math
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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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 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 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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 Professor B  Professor B Enterprises, Inc.
Arithmetic CDs, algebra books, and other products and services that aim to structure math ".. so it becomes as connected and flowing as a story."
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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 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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 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 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 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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 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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 Project Interactivate  Shodor Education Foundation, Inc.
Interactive middle school lessons on number and operations, geometry and measurement, functions and algebra, and probability and statistics. They feature: online activities (illustrative Java applets including: Venn diagrams; clock arithmetic; Pythagorean
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 Project Lead The Way
Project Lead The Way (PLTW) promotes preengineering courses for middle and high school students by partnering public schools, higher education institutions and the private sector. Goals of this national, notforprofit educational program include increasing
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 Project Search: Math  Buck Institute for Education
Dozens of studies and summaries of research on project based learning (PBL) in math. The Buck Institute for Education (BIE) is creates and disseminates products, practices and knowledge for effective PBL.
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 Project SEED
A nonprofit math consulting organization whose goal is to increase the number of minority and educationally disadvantaged youth majoring and pursuing careers in mathematics and related fields. It uses a nonlecture Socratic group style of instruction,
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 Projects for ProjectBased Learning (PBL)  WestEd Regional Technology Education Consortium (RTEC)
Designed to provide webbased support for teachers, parents, and children who are interested in projectbased learning (PBL), design, and invention. Exemplary Projects has lesson plans, ideas, information, and links to PBL resources, and can be used by
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 Project SkyMath: Making Mathematical Connections  University Corporation for Atmospheric Research
Using the science and language of patterns to explore the weather. A middle school mathematics module using realtime weather data and current environmental issues to promote the learning of significant mathematics, consistent with the NCTM Standards.
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 Promoting Engagement and Supporting Leadership Development:
Online Teacher Professional Development at the Math Forum  Wesley Shumar, Jason Silverman, & Troy P. Regis, Drexel University
PDFformat article. Abstract: Teacher professional development (TPD) in its current state is typically episodic, fragmented, and often not rewarding over the long haul. There is need for a more substantial and extensive core set of TPD experiences that
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 Prongo.com
Free online games, such as Batter's Up Baseball and Lemonade Larry, for practicing arithmetic, investing in the stock market with real time stock prices, using logic to guess a number and decipher secret codes, and more. Themes of other games include
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 A Proof of the Pythagorean Theorem by Liu Hui (third century A.D.)  Donald B. Wagner
Web version of an article which appeared in Historia mathematica, 1985, 12, pp. 713. Includes Chinese characters, which were not in the published version. Some statements here are no longer up to date, but the article has not been significantly modified.
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 A Proof of the Pythagorean Theorem  Isaac Reed
One of the most famous theorems in mathematics, the Pythagorean theorem has many proofs. Presented here is one that relies on Euclidean algebraic geometry and is thus beautifully simple.
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 Proof of the Pythagorean Theorem (Math Exploration Quilt)  Rik Littlefield; Hanford School
Proof by the scaling law.
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 Proof of the Pythagorean Theorem  Rik Blok
Pythagorean theorem: in a right triangle the square of the hypotenuse is equal to the sum of the squares of the sides containing the right angle. Two proofs: one by a construction, and one by the method of similar triangles.
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 Proofs in Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion of the value of proofs in the classroom, followed by a collection of proofs classified as either simple or charming. Simple proofs: Number of vowels in a Lewis Carroll game; Pigeonhole Principle; Number of X's and O's; Coloring points in
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