 Problem Solving  It Has to Begin with Noticing and Wondering  Hogan, Marie; and Alejandre, Suzanne
Middle school teacher Marie Hogan observed as the Forum's Director of Professional Development modeled a full cycle of the Problems of the Week (PoWs) in Hogan's West Covina (CA) classroom. This coauthored article about their experience around the PoW
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 Project Search: Math  Buck Institute for Education
Dozens of studies and summaries of research on project based learning (PBL) in math. The Buck Institute for Education (BIE) is creates and disseminates products, practices and knowledge for effective PBL.
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 PROMYS: The Program in Mathematics for Young Scientists  Boston University Department of Mathematics and Statistics
PROMYS encourages ambitious high school students to explore the creative world of mathematics. Each summer, approximately 60 high school students from around the country gather on the campus of Boston University for six weeks of rigorous mathematical
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 Questioning My Metacognition  Graham Fletcher
Blog by a K5 math coach "continually seeking to find what it is that develops an intellectual need in students and makes them want to learn." Posts, which date back to August, 2013, have included "To Run or Walk in the Rain," "Underestimating Estimation,"
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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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 Reason and Wonder  Michael Fenton
Blog by a Fresno (California) junior high and high school mathematics teacher. Posts, which date back to March, 2013, have included "Estimation 180 Rocks"; "Quadratics Matching Activity, Take 2"; "Solved the Student Engagement Problem Yet? Me Neither";
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 Rebuilding an Empire  Mike Waechter
Blog by a middle school math teacher in northern California. Posts, which date back to March, 2015, have included "The Good, The Bad and A Moment"; "NBA Desmos Scatter Plots"; and "Barbie Zip Line."
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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 Why  Chris Hunter
Blog by a K–12 numeracy helping teacher in Vancouver. Posts, which date back to September, 2010, have included "Linear Functions — Concretely, Pictorially, Symbolically"; "Math Manipulative of the Month — Base Ten Blocks"; "A Linear Functions
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 Reflections of a High School Math Teacher  Dave Sladkey
Blog by a teacher at Naperville (Illinois) Central High School. Posts, which date back to March, 2008, have included "Thinking Blocks," "School is a Place to Learn from your Mistakes," "More on When Students Teach," "Pop Goes the Weasel and the Quadratic
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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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 Reflections on Holes in Graphs and Reasoning  Zach Cresswell
Blog by a Michigan teacher of AP Calculus, Precalculus, and Algebra II who has taken graduate courses such as "Creativity in Teaching & Learning." Posts, which date back to May, 2013, have included "Trying a bit of '3 Act Math'"; "Multiple Methods for
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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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 Rich Starting Points for ALevel Core Mathematics  Jonny Griffiths
Download PDF task files of 40 openended investigative activities for the A Level Pure Mathematics classroom: basic algebra, coordinate geometry, polynomials, curve sketching, uncertainty and inequalities, indices and surds, sequences and series, differentiation,
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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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 The Roots of the Equation  James Cleveland
Blog by a high school algebra teacher in New York City "trying to figure out how it all fits together ... [and] creating interdisciplinary problems, projects, and thinking." A Math for America (MfA) fellow, Cleveland has blogged since June, 2011, with
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 Seedbed  Tom O'Brien, ed.
Throughout the 1980s, Seedbed published articles on "the intellectual growth of children, and teachers' participation therein." Editor Tom O'Brien described the publication as a practical one, "where teachers are the principal authors and where teachers'
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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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 Stella's Stunners  Rudd Crawford
More than 600 nonroutine mathematics problems named in honor of the Dutch baroness Ecaterina Elizabeth van Heemsvloet tot Schattenberg. Each collection in the Stella Library contains five subsets, one for each course of PreAlgebra, Algebra I, Geometry,
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 Steve Leinwand
Publications, presentations, blog, and more by a Principal Research Analyst at American Institutes for Research (AIR). Freely download articles such as "Moving Mathematics Out of Mediocrity," "High Leverage Mathematics Instruction Practices," "Making
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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 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/math/culture  Ilana Horn
Blog by a professor in Vanderbilt University's Teaching and Learning Department "interested in broadening our notions of mathematical competence. What do classrooms look like that are inclusive and incorporate rich mathematics?" Posts, which date back
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 Teaching Resources: Mathematics  McGrawHill School Division
Activities and lesson plans for grades 16, linked to McGrawHill's program Math in my World; also MathTalk  conversations about key issues and teaching strategies (e.g. cultural diversity; manipulatives; technology; problem solving); and "Ask CyberScout!"
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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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 TeachingWorks
Establishing a "professional system for the training of teachers" through "a common curriculum for professional training that focuses on highleverage practices and on the subjectmatter knowledge needed for teaching; performance assessments of teachers'
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 TheGeometryTeacher  Andrew Shauver
Shauver, who teaches at a Michigan public high school in a onetoone laptop program, blogs to "describe his own independent learning and to reinspire the natural curiosity sometimes absent from the typical high school classroom." Posts, which date back
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 Theron J. Hitchman
Scholarship and teaching by a professor of mathematics at the University of Northern Iowa. Hitchman's research focuses on differential and metric geometry, dynamical systems, and Lie theory, with particular interest in discrete subgroups of semisimple
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 To Accumulate a Rate — Integrate!  Kaleb Allinson
Allinson teaches trigonometry and AP Calculus AB at Lake Stevens High School (WA), where he also serves as the math department head. He describes his blog as a venue to "help me reflect on my teaching.... and record the unique [ideas] I came up with for
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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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 Topics in Arithmetic and Elementary Mathematics  E. Lee Lady; University of Hawaii
Materials used in a university course for prospective elementary school teachers, to teach them how to be interested in mathematics. Materials are in PDF and DVI, and include: representing numbers in other bases, divisibility tests, periodic decimal expansions,
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 Traditionalist Becoming NonTraditional  Christy Sutton
"It wasn't until I was already a teacher and took some math courses for Professional Learning that my rule following math approach was tested. Once I began my Masters Degree in K8 Math Ed from the UGA campus in Griffin my math world was really shaken
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 UBUYACAR  Maricopa Center for Learning and Instruction
An online problembased learning manual for students that poses the question: "You are interested in purchasing a new vehicle. What should your annual salary be to afford the car you want?" Students move through a problemsolving process. A Tutor's Manual
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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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 Valuing as the Key to Unsilencing  Suzanne Alejandre
"At the heart of the Common Core State Standards (CCSS) Initiative is the valued learner, a learner with an active voice in his/her own learning. Under No Child Left Behind (NCLB) practices and assessment many students' voices have fallen silent.... Valuing
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 What Does It Take to Be an Expert Problem Solver?  Annie and John Selden; Mathematical Association of America
Organized into five sections: ExpertNovice Studies Have Often Concentrated
on Textbook Problems; Solving Nonroutine Problems; Are Mathematicians Expert Problem Solvers? How Might One Teach Problem Solving? and The Importance of Affect. From the MAA's
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 Where to Start?  Cut the Knot!, Alexander Bogomolny
A discussion of math education: the intent of the NCTM Standards, reflections on the history of constructivism, classroom practices (with a link to Marilyn Burns' Math Solutions page), and a simple applet for solving linear equations. An interactive column
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 window into a math classroom  Sadie Estrella
A snapshotdriven blog subtitled "a glimpse into a math classroom once a day." Estrella's posts, enlivened with pictures of her students and of their work on classroom dryerase whiteboards, have included "Trying Math MetaCognition," "More Arguing about
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 Without Geometry, Life Is Pointless  Avery Pickford
"Musings on math, education, teaching, and research" by a teacher. Blog posts, which date back to May, 2010, have included "What Makes a Problem Great," "Habits of Mind," "My 6th Grade Version of Algebra," "Technology in School: Where's My Hovercraft?
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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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