 Physics Forums
Discussions emphasize physics, but "PF" also includes an entire directory on mathematics: General Math; Calculus & Analysis; Differential Equations; Linear & Abstract Algebra; Topology & Geometry; Set Theory, Logic, Probability, and Statistics;
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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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 P.T. Chang
Articles by this math professor from the University of Alaska Anchorage's MatSu College include "The Ostentatious World of Algebra," "InService Training for the Math Teacher of the 21st Century," and "Retesting in a College Remedial Mathematics Course."
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 Purplemath  Your Algebra Resource  Elizabeth Stapel
Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics,
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 Ralph A. Raimi Homepage  Ralph A. Raimi
The University of Rochester Professor Emeritus' notes on math education and nontechnical
writings with a mathematics theme include Whatever became of the New Math?; Have we forgotten the value of memory?, a comment on the New York Regents' Bexamination
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 Recipes for Pi  Anna Weltman
Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics
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 The Recovering Traditionalist  Christina Tondevold
Blog by a "former middle school math teacher who learned, and taught, math the traditional way. That was until I realized that many of my students did not learn math the same way I did. So, I embarked on a journey to increase my understanding of mathematics
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 Reflections in the Plane  Bridget Dunbar
Blog by an instructional resource teacher in a middle school in Maryland. Dunbar describes herself as having "loved math my entire life" and a person who does not "remember having a bad teacher — only teachers who made me love math more. I even
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 Rejecta Mathematica
Open access online journal that publishes only papers that have been rejected from peerreviewed journals in the mathematical sciences, alongside open letters from the authors. Also available from rejecta.github.io/mathematica/.
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 ReLearning To Teach  Justin Aion
Blog by an eighth grade teacher who "decided that I want to be a better educator. These are my exploits and thoughts as I strive to rediscover my passion and purpose." Posts, which date back to August, 2013, have included "Problem Solving, Vocab and Frustration";
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 Rich Maths Tasks to Engage  East Midlands Maths Network
These teachermade rich maths tasks in number, algebra, shape, and data handling emerged from a collaborative project run by Jon Stratford, Lead Practitioner for the Specialist Schools and Academies Trust (SSAT): arrangements, clock face, chocolate dilemma,
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 The Ri Christmas Lectures  The Royal Institution of Great Britain
Register to watch the demonstrationpacked, funfilled videos that have formed a part of the British Christmas tradition for generations: "The natural history of a sunbeam," by George Porter; "Mathematics into pictures," by Christopher Zeeman; "Crystals
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 Rob Barry's Website
Recent stories by The Wall Street Journal investigative reporter who specializes in computerassisted reporting, which he describes as "the practice of wrestling large sets of data into compelling narratives." Barry's articles have ranged from insider
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 Robert Kaplinsky  Glenrock Consulting  Robert Kaplinsky
Lessons consist of "The Challenge(s)," "Question(s) To Ask," "Consider This," and alignments to Common Core State Standards (CCSS): "How Can We Water All Of The Grass?" and "How Much Money Should Dr. Evil Demand?" and "How Did They Make Ms. PacMan?"
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 Rockin' the Standards
Musical recordings by a rock band led by a veteran elementary school teacher who takes the lyrics from common tunes and changes them to help kids remember what they've been taught in school. Each of the fourteen songs on the album "Rockin' the Standards
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 sarahmarie belcastro's home page  SarahMarie Belcastro
From one of the authors of Making Mathematics with Needlework: "I seem to have become a topological graph theorist while I wasn't looking. I am also interested in convex and combinatorial geometry, algebraic geometry, topology, algebra, the geometry of
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 Search for Math on the Internet  The Math Forum
Keyword search of all searchable archives, Newsgroup archives, Dr. Math archives, Problems of the Week, Internet Math Library, or any combination thereof.
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 Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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 Shelley's Mathematics Articles  Shelley Walsh
"Little selfcontained articles [that] write up more than you can normally fit in a lecture, and ... hopefully put together enough explanation so that there's something for a great variety of different ways of thinking." Organized into Geometry; Analytic
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 Shooloo  Shooloo Inc.
At Shooloo, students "discover the joy of writing their own math stories" by publishing original word problems, constructing viable arguments, critiquing the reasoning of others, and modeling real life with mathematics. Shooloo then presents the resulting
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 Show Me Your Math  Borden, Lisa Lunney; and Wagner, David
Student projects and resources to support culturally responsive teaching from a program that invites Aboriginal Students in Atlantic Canada to explore the mathematics evident in their own community and indigenous practices. Nova Scotia youth who participate
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 ShowTheMath.org  Alan Degener
Enter an algebra equation and then solve it, step by step  manually: use the pulldown menu to describe steps as combining like terms, distributing, expanding, factoring, adding to both sides, subtracting from both sides, dividing both sides, multiplying
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 Signing Apps  Vcom3D
Illustrated, interactive 3D sign language dictionaries and pictionaries. Vcom3D developed the Signing Math Dictionary (SMD), Signing Math Pictionary (SMP), and other apps for Deaf or HardofHearing students who use American Sign Language (ASL) or Signed
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 Simple City  Richard Elwes
Website of the author of, among other books, Mathematics 1001, How to Build a Brain (Mathematics without the Boring Bits), and Chaotic Fishponds and Mirror Universes. Prior to lecturing at the University of Leeds, Elwes earned his PGCE (QTS) in secondary
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 singingbanana.com  James Grime
YouTube videos, "lazy microblog," and social networking hub of Enigma Project Officer James Grime, who "hopes to explain to kids and general audiences why he love his maths so much, to challenge some of the public's misconceptions, and to explain why
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 Sketchpad Activities for Young Learners: Grades 35  Nathalie Sinclair
This collection of activities for grades 35 offers examples of the ways in which Sketchpad can be used across the range of mathematical subject areas in the elementary curriculum.
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 Software's Origin  Ivars Peterson (MathTrek)
Librarian Fred R. Shapiro of the Yale Law School in New Haven, Conn., searched for the word software among scholarly journals electronically archived in the JSTOR database and found that the term software used to describe computer programs dates back
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 Sometimes We Learn Some Math Too  Jacqueline Sheppet
Blog by a high school teacher in British Columbia. Posts, which date back to September, 2014, have included "Purple is the new math," "Forming a formative mindset," "A formula to understand," and "Do the ends justify the means?"
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 Spreading Memes  Cut the Knot!, Alexander Bogomolny
First of a series of interactive columns for MAA Online that use Java applets to simulate a puzzle or mathematical problem, one not stated directly since the applets are intended to be such that the right answer to an as yet unstated problem should be
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 Steven Strogatz
Research, teaching, publications and more by Strogatz, Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. Best known in the academia for his 1998 Nature paper on "smallworld" networks, which he coauthored with his former student
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 Studio 4 Learning Math  Studio 4 Networks Inc.
Free online videos that explain topics in algebra, basic math, calculus, differential equations, geometry, prealgebra, precalculus, statistics, and trigonometry. Join Studio 4 Learning's Tutor Corps to share videos of your own.
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 studio:ludens  Wouter Walmink and Alexander Rulkens
Free online tools that "let you play with your own creativity," designed by two Dutch industrial and interaction designers in Eindhoven. Create your own patterns with Repper; your own tessellating coasters with Epa:kato; your own fractals and other complex
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 Success for All
Curriculum driven by cooperative learning that focuses on individual pupil accountability, common goals, and recognition of team success, all with the aim of getting learners "to engage in discussing and explaining their ideas, challenging and teaching
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 Suffolkmaths.co.uk  Mark Greenaway
Greenaway hosts a select collection of thirdparty resources in the public domain, many drawn from the UK's Department for Education (DfEs): teaching materials for Great Britain's different grade levels; problem solving documents on problemsolving strategies,
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 Summer of Math  Christopher Danielson
A subscription service to "infuse creative math into your family's play all summer long." Each curated box contains math tools and toys crafted out of American hardwood with a laser cutter by Danielson, a curriculum designer and former teacher who works
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 Supporting ELLs in Mathematics  Stanford University
Materials that illustrate how Common Corealigned math tasks can support math instruction and language development for English Language Learners (ELLs) in elementary, middle, and high school. Learn about the development of this material from Stanford
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 Supporting SenseMaking and Perseverance  Suzanne Alejandre
Article about how the Math Forum's noticing and wondering not only values each learner, it "also works to engage all learners in finding their mathematical voice." Originally published in the March, 2013, issue of the CMC ComMuniCator, journal of the
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 Susan C. Levine  The University of Chicago
Biography, courses, and more about Levine, the codirector of the Center for Early Childhood Research. Her freely downloadable articles include "Early puzzle play: A predictor of preschoolers' mental rotation skill"; "The role of parents and teachers
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 TagMath  Cody Taggart
Blog by a Wisconsinite now teaching at the United Nations International School in Hanoi (Vietnam). Weekly updates, 48hour challenges, and other posts addressed to Taggart's students date back to February, 2012; and have included "Dublox," "Reviewing
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 Teaching Like It's 2999!  Jennie Cho Magiera
After her "world was completely changed thanks to a grant approval for 32 iPads," this 5th grade math teacher in the Chicago Public Schools has used the technology to improve assessment practices and increase differentiation. Posts in her blog, which
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 Teaching Students to Read Technical Material: The Use of Reading Outlines  Janet Andersen, Hope College; The Math Forum
An article presented at the Joint 1996 Mathematics Meetings in Orlando, Florida. Many of the recent changes in mathematics curriculum and pedagogy focus on increasing student proficiency in discussing mathematics, writing about mathematics, and using
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 Teaching to the Beat of a Different Drummer  Brian Stockus
Blog by a lead curriculum specialist for elementary mathematics in Texas who taught elementary school and led content developers in the design of digital math lessons. Posts, which date back to August, 2012, have included "To question, how to question,
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 Technische Universität München School of Education
Research, publications, teaching portfolios, and more about the Technische Universität München (TUM) School of Education, which trains teachers for vocational schools and upper secondary schools (Gymnasien) in Germany. See, in particular, the
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 T_{E}X THE WORLD  Avital Oliver
This addon to the FireFox browser takes TeX typesetting on any website and renders it as an image. TEX THE WORLD runs every 3 seconds on interactive websites, so it marks up chat sessions as well as HTMLenabled webmail, embedding symbols on the fly
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 themathlab.com
Playful, interactive studentmade problems, games, drills, lesson ideas, tools, "magic," and more. Lessons include practice problems which, when solved correctly, generate passwords that grant access to "treasure rooms." Lesson ideas include Algebachee
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 Thinking Mathematics!  James Tanton
Tanton writes wordless volumes of creative and surprising math puzzles, accessible approaches to calculus suitable for standardized test preparation, and curriculum "tidbits." Download his free guides to fractions and "to everything quadratic," and watch
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 This is MegaMathematics! (MegaMath)  Nancy Casey; Los Alamos National Laboratory
The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas, many of them accessible to young children; others (infinity is a good example) whose profound mathematical importance is not
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 Three Skills For Algebra  Alan Selby
This book describes three skills key to the algebraic way of writing and thinking, offering a first image of mathematics beyond arithmetic. It also describes the first elements of logic or rulebased reason, needed in all disciplines for writing or a
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 Transformulas  Jedidiah Butler
Blog about transformational geometry, subtitled "picture = 100 formulas." Posts, which feature Butler's original GeoGebra applets and teaching notes, date back to March, 2014: "One Formula ... to Rule them All," "Circles Part 2: Angle Relationships,"
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 Typing Math  Math Forum, Ask Dr. Math FAQ
How should I type exponents? What about square roots? Why not use tabs? May I send attachments?
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