 Open Middle  Johnson, Nanette; and Kaplinsky, Robert
"Open middle" problems, hints, and answers, all aligned to the Common Core State Standards (CCSS). Introduced by Dan Meyer, these kinds of math challenges have a "closed beginning," meaning that they all start with the same initial problem; a "closed
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 Open Up Resources
Makers of a problembased math curriculum authored in collaboration with Illustrative Mathematics. Begun as as the stateled K12 OER Collaborative, the nonprofit Open Up Resources develops openlylicensed content available to districts via nocost licenses.
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 Optical Data School Media
A publisher of math and science programs, including Windows on Math, an activitybased laserdisc and videotape curriculum built around the NCTM standards. Most products are for levels K8. Find Correlations for Optical Data products to a wide range of
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 Optical Illusions (SandlotScience.com)  SandlotScience
Interactive explorations of optical effects, illusions, distortions, animations, artwork, stories, PDF projects, games, and more. Impossible objects include columns, an endless staircase and animated stairs, Java triangle models, an interlaced tribar,
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 Order of Operations  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about order of operations, such as "What is PEMDAS?" and the place of factorials in arithmetic operations.
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 Order of Operations  Math Forum, Ask Dr. Math FAQ
What is the correct order of operations? Why use it? What is PEMDAS?
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 Origami Snowflake Game  Rick Nordal
Origami designs to fold from a "snowflake" base — a square of 32 identical 45°45°90° triangles. Topics from Nordal's sixteen chapters include "Base fold geometric snowflakes," "Lightning folds," "How to fold 3 geometric snowflake shapes,"
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 OrigamiUSA
Resources for origami enthusiasts and for those just learning the art of paper folding: Events (calendar, convention, and exhibit information); Resources (model index, links, email discussion list, folding groups directory, and lending library); Shopping
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 Orlando Sessions on Constructivism  The Math Forum
The 1996 AMS/MAA Joint Mathematics Meetings in Orlando, Florida featured presentations on constructivism. The goal: to disseminate innovative, successfully classtested pedagogical theoretical view of how mathematics is learned.
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 Our Town (The Weather Unit: Math Application)  Collaborative Lesson Archive
A lesson that uses and/or introduces new tools in geography, math, and science to make observations and draw conclusions on the local temperature variations in your area. Colorado State Standard addressd: Students use algebraic methods to explore, model,
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 Outposts, the Geometry Forum Newsletter Online  Sarah Seastone; The Math Forum
The newsletter of The Geometry Forum, published in 199495: Swarthmore College's electronic home for geometers of all kinds.
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 Overthinking My Teaching  Christopher Danielson
Blog by a community college math teacher "interested in hard questions about teaching." Posts, which date back to July, 2009, have included "Wump hats," "An unnoticed rule for number language," "The end of word problems," "Cubeyness," "Cardinal and ordinal
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 Oxford University Press
The world's largest university press, publishing 3,000 new books a year, including scholarly works in all academic disciplines, bibles, music, school and college textbooks, children's books, materials for teaching English as a second language, business
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 P2S Games  P2S Information Systems Pvt. Ltd
Online games that challenge you to click your way to filling containers of liquids (Fill It Up), completing equations with operations (Equation), adding adjacent tiles to maximize their overall sum (Maximize), selecting operations between the 4s to make
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 Packing Videotapes  NASA Lewis Learning Technologies Project
Roger had to pack videotapes 10 to a box. If he had 178 tapes of one kind and 121 of another kind, how many boxes would he need in order to pack them all and not mix the different types? A detailed answer is provided. From NASA's 9th Grade Math Proficiency
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 Page of Conversion (Convert It)  Ramsviks, Adler
Enter a number and press the tab key to convert among bases, tempreatures, and measures and weight.
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 Panamath  Panamath.org
Have you ever tried to guess how many jelly beans are in a jar without counting? The Panamath test measures your number sense  your intuitive recognition of numbers and their relationships  and approximate number system (ANS) aptitude. Practice estimating
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 Panitz cooperative learning and WAC web page and much more  Ted Panitz, Cape Cod Community College
Workshops, articles, and other resources on cooperative learning and pedagogy.
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 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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 The Paper Challeran  Ryosuke Ito & TOSS
Starting with a score of 1, trace a route through the Paper Challeran. Add to, multiply, or subtract from this score, as indicated at every edge along the way. Compete by registering scores online. Numbers around each block change every month. Find rules,
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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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 Paperforms: Polyhedrons for the Masses  John T. Vonachen
Geometric paper sculptures offered for sale.
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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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 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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 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: 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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 Paso Partners: Integrating Mathematics, Science, and Language  Southwest Educational Development Laboratory (SEDL)
A twovolume curriculum and resources guide for K3 educators, designed to help teachers increase achievement of Hispanic children whose first language is not English. Preceding each complete unit in English is a Spanish version of background information
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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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 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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 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 Kenschaft's Home Page  Patricia Clark Kenschaft, Department of Mathematical Sciences, Montclair State University
From the host of the weekly callin talk radio show, Math Medley (19982004): links to her books, such as Mathematics for Human Suvival, Winning Women into Mathematics, and Math Power: How to Help Your Child Love Math Even If You Don't, the first book
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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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 Patternbee Multiplayer Spatial Reasoning  Jordan Pollack
In this version of tangrams, pairs of learners create the puzzles for each other to solve, which can be at different levels of difficulty. Requires free registration to play, as this is an educational psychology research project.
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 Pattern Pals  Kevin Roddy
If you like building designs with Pattern Blocks, you might enjoy being a Pattern Pal. Pattern Pals is a pen pal service with a twist: select a Pattern Pal Activity (Grab Your Crayons!; Adventures in Line; Symmetry; PaintbyNumber Pattern Blocks; Logo
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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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 Pauly's Playhouse.com  Paul Limmer
Games, tutorials, and cartoons starring animated cartoon figures. Math concepts include counting, adding, subtracting, multiplying, dividing, identifying shapes, and matching shapes. All require Shockwave.
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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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 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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 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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 Pédagogie  Olivier Batteux
MathsRix et Labymath sont des logiciels présenté sous forme de labyrinthe où il faut choisir des portes qui correspondent à des choix opératoires en vue des résoudre des problèmes concrets. Découvre
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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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