- Oliver Knill
Research, teaching, and media by this preceptor in Harvard's math department. Knill began in dynamical systems, tackling first ergodic and spectral theoretical questions, then probability theory and elementary number theory. This led to his "passion for
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- OpenMath - The OpenMath Society
An extensible standard for representing mathematical objects with their semantics, allowing them to be exchanged between computer programs, stored in databases, or published on the web. Intended for those working with mathematics on computers, for those
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- Orig4mi - Jorge C. Lucero
Origami na ciência, tecnologia e design. Desde outubro, 2008, este profesor da Universidade de Brasília tem escrito neste blog artigos diversos sobre origami, inclusive abrigos dobráveis de bambu, origami com moléculas de DNA,
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- Ostrich Llama Count - Examining Solution Methods - Suzanne Alejandre
Activity, alignments, directions, extensions, and activity sheets that detail five ways to solve the Problem of the Week (PoW) "Ostrich Llama Count." Originally published in the March, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics
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- 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 Mat-Su College include "The Ostentatious World of Algebra," "In-Service 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 non-technical
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' B-examination
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- Rich Maths Tasks to Engage - East Midlands Maths Network
These teacher-made 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 demonstration-packed, fun-filled 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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- 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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- sarah-marie belcastro's home page - Sarah-Marie 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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- 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 self-contained 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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- ShowTheMath.org - Alan Degener
Enter an algebra equation and then solve it, step by step -- manually: use the pull-down 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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- 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 3-5 - Nathalie Sinclair
This collection of activities for grades 3-5 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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- 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 "small-world" networks, which he co-authored 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, pre-algebra, pre-calculus, 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 co-operative 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 third-party 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 problem-solving strategies,
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- Supporting Sense-Making 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 co-director 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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- TEX THE WORLD - Avital Oliver
This add-on 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 HTML-enabled webmail, embedding symbols on the fly
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- themathlab.com
Playful, interactive student-made 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 rule-based reason, needed in all disciplines for writing or a
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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: K-12." Farlow
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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 problem-solving approaches to investigate and understand
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- Word Problems - Jim Loy
Translating word problems into equations, using algebra, then solving the equation(s) and checking your work.
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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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- 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 Single-Variable and Multivariable Calculus courses cover subjects from "Confusion in Beverly Hills" (geometry, trigonometry) to "The X-Files 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 "mini-text" 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 Pre-Calculus 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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The Math Forum is a research and educational enterprise of the Drexel University School of Education.