 One, Two.. Infinity  Marian Small
PDFs of presentations from the professional development consultant and author of Making Math Meaningful to Canadian Students K8, More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction (9  12), Eyes on Math: A Visual Approach
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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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 Pairing Like Students for Perseverance in Problem Solving  Marie Hogan
Article about how one particular duo of eighth grade PreAlgebra students, paired by ability level, overcame a contentious start to work together and "reach new heights of problemsolving proficiency." Originally published in the March, 2013, issue of
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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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 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 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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 Prove it! Math Academy  Monks Math Ltd.
A residential summer math camp at Colorado State University for talented students 1418 years old. The twoweek course of Prove it! emphasizes mathematical rigor and proofwriting skills in a problemsolving context. Admissions begin with a test of word
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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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 the radical rational ...  Pam Wilson
Blog by a National Board Certified Teacher (NBCT) of Algebra II and Geometry "in search of innovative ideas with a wellbalanced approach for the math classroom." Posts, which date back to July, 2011, have included "The Purpose of Life and The Quadratic
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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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 Reflections of a Techie  Marsha Ratzel
Reflections "on using 21st century technologies to amplify learning," as blogged by a selfdescribed nerd who teachers middle grades math. Posts, which date back to July, 2003, have included "Finding the Little Truths of Math"; "Rational numbers need
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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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 Research and Expository Papers by Charles Wells and others  Charles Wells; Case Western Reserve University
Research and expository publications concerning mathematical writing, such as Communicating Mathematics: Useful Ideas from Computer Science; Varieties of Mathematical Prose; Communicating Logical Reasoning; and Handbook of Mathematical Discourse, which
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 Sara VanDerWerf
Blog by a longtime teacher of secondary mathematics in the Minneapolis Public Schools and past president of the Minnesota Council of Teachers of Mathematics (MCTM). VanDerWerf spent several years leading mathematics at the district office and curates
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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 Your Thinking  Annie Forest
Blog by an instructional specialist in Illinois "passionate about giving all students an equitable math education, making thinking visible, purposeful tech, and teacher collaboration and reflection." Posts, which date back to October, 2013, have included
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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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 square root of negative one teach math  Amy Gruen
Blog by a high school math teacher in Kansas. Posts, which date back to December, 2010, have included "Stations Review and Practice," "The Loop for Logs," "My Thoughts On Homework," "Everyone Failed (and What's Up With Probability?)," "Visualizing Volumes,"
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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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 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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 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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 Tools for Understanding  John Woodward; University of Puget Sound
A resource guide for extending mathematical understanding in secondary schools, for educators who teach mathematics and are interested in integrating common
technologies into their daily instruction. Onsite strands (Math Concepts with lessons related
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 Under the Dome  Mike Wiernicki
Blog by a math coach and a consultant for Learner's Advantage. Posts, which date back to October, 2013, have included "A Number Talks Reflection — A Look Back Over the Past 3 Years ...," "Relevant Decimals Lesson," "The Penny Cube," and "Are Your
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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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 What's New  Terence Tao, UCLA
Updates on Tao's research and expository papers, discussion of open problems, and other mathsrelated topics. Blog posts, which date to February, 2007, have included "Riemannian manifolds and curvature" and "Sailing into the wind, or faster than the wind"
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 Women's Adventures in Science  National Academy of Sciences
This project of the National Academy of Sciences showcases contemporary women in science, and highlights for young people the varied careers of some of today's most prominent scientists. The site draws from and accompanies Women's Adventures in Science,
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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 Math (Learning and Mathematics)  Joan Countryman; Math Forum
In her 1993 book Writing to Learn Mathematics, Joan Countryman, the Head of Lincoln School in Providence, Rhode Island, explores the relation between math and writing and provides a comprehensive description of the approach she takes to teaching math
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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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 Zapple Educational Consulting  Ray Appel
Free stuff: math resources, links and math movies in the style of the Mac/PC ads that teach us about math. Great for teachers for math discussion and older students. Also: workshops and other educational consulting services. Descriptions and testimonials
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