 Sending Mathematical Communications Electronically  Dave Rusin
Mathematical ideas sent via email tend to get rapid responses, and allow for precise earmarking of passages needing comment. There is however the problem of communicating the wide array of symbols and diagrams in a medium which should be assumed to use
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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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 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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 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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 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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 Uncle Kenny's Mathematics Pronunciation Guide  Kent Kromarek
Billed as a "megametamathematical guide for proper American English
pronunciation of terms and names, for the diacritally challenged," this guide
includes many mathematicians and mathematical terms encountered in high school
and the first two years
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 Unsilence Students' Voices  Suzanne Alejandre
Article discussing how to provide an opportunity for all students to contribute to math classroom discussions. Originally published in the September, 2012, issue of the CMC ComMuniCator, journal of the California Mathematics Council, this article intersperses
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 Using Children's Literature in Mathematics  Elaine Young
A list of children's books (with authors) that can be used in math lessons.
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 West Contra Costa Unified School District Mathematics Center  Kennedy High School
Common Core mathematics resources, presentations, instructional videos, lessons, mathematics applets, parent guides, and other materials developed by the Richmond (California) school district.
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 The Western Reserve Reading Project  The Ohio State University
With over four hundred pairs of twins participating in annual data collection sessions over the past ten years, the Western Reserve Reading Project (WRRP) explores how the environment affects children's ability to learn "by evaluating how genes and environmental
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 What is Math?  Field Cady
Blog of "miniessays about the history and nature of math, and how it fits into the spectrum of human activity," by an applied mathematician and algorithm developer who specializes in statistics and "big data" analytics and statistical modeling. Posts,
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 Whole Language Approach in Solving Word Problems (SMILE)  Barbara Thomas, Langston Hughes School
A lesson that uses the story of the Three Little Pigs to teach students to formulate addition and subtraction problems of whole numbers; relate everyday language to mathematics meaningfully; use problemsolving approaches to investigate and understand
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 Worksheet Works  WorksheetWorks.com
This site generates high quality PDFs of worksheets with the flick of a few checkboxes. Just specify level of difficulty, range of numbers, font size, or other parameters.
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 Would You Rather?  John Stevens
Choose between the two apparently equivalent choices — and justify your selection with reasoning: "Would you rather ... run the circumference of the circle OR perimeter of the rectangle? be given 100 grams of new nickels OR 220 grams of new dimes?
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 Writing a Math Phase Two Paper  Steven L. Kleiman, with Glenn P. Tesler; MIT
A discussion of the kind of writing appropriate in a paper submitted to the math department to complete Phase Two of MIT's writing requirement: a review of the general purpose of the requirement and the specific way of completing it for the math department;
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 Writing Assignments in Calculus  Tommy Ratliff; Dept. of Mathematics & Statistics, Wheaton College, Norton, MA
Imaginative paper proposals for SingleVariable and Multivariable Calculus courses cover subjects from "Confusion in Beverly Hills" (geometry, trigonometry) to "The XFiles Makes Me So Angry" (optimization of a function of two variables)  and many more.
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 Writing for a Math Class  B. Sidney Smith, Wendy Hageman Smith; Math Academy Online/Platonic Realms
A "minitext" concerning written communication in mathematics classes, for both students and teachers. Teachers' section discusses possible formats and assessment, and gives sample lessons; students' section gives practical tips on approaching a written
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 Writing in Mathematics  Dr. Annalisa Crannell; Franklin & Marshall College
Dr. Crannell's Guide to Writing in Mathematics, the checklist she uses, and writing assignments from her PreCalculus and Calculus I, II, and III classes. Contents include: Why Should You Have To Write Papers In A Math Class?; How is Mathematical Writing
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 Writing Proofs  Leslie Lamport
PostScript, DVI, and LaTeX versions of each (but no HTML) are available. How to Write a Proof: A method of writing proofs is proposed that makes it much harder to prove things that are not true. The method, based on hierarchical structuring, is simple
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 Writings from the MegaMath Project (MegaMath)  Casey, Fellows, Koblitz; Los Alamos National Laboratory
Documents containing classroom materials and discussions of mathematics pedagogy. The Los Alamos workbook; Lessons for math teachers; An hour in the classroom; Literacy lessons and mathematics learning; Computer science in elementary school; Combinatorially
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 Writing to Develop Understanding: The Math Forum @ Drexel's PoWs  Suzanne Alejandre
What can we ask students about their problem solving that will help them the most? This article, originally published in the December, 2006, issue of the CMC ComMuniCator, journal of the California Mathematics Council, addresses that question by examining
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 XNumber World  James Redin
With the Extended Numerical Keyboards with Structured DataEntry Capability method, enter a number in the same way as you think on the number; for example, input one million and fiftyseven with the four keystrokes 1, million, 5, and 7, in that order.
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 ZeroKnowledge Proofs  John Scammell
"Random thoughts about teaching math" from a high school math consultant who taught math for 18 years prior. Scammell's blog posts, which date back to May, 2010, have included "Lecture Method vs. Peer Instruction," "Mozart’s Dice Game," "Let the Kids
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