 OpenEnded Assessment in Math  Cooney, Thomas J.; Sanchez, Wendy B.; Leatham, Keith; and Mewborn, Denise S.
Over 450 openended, fieldtested assessment items, distributed more or less equally among elementary, middle school, and high school grade levels. The questions relate to five major content areas, based on the NCTM Standards: number and operation; probability
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 OpenEnded Math Problems  Gwenn Holtz and Mary Lee Malen, Levering School and the Franklin Institute
An eightmonth slate of openended problems for middle school students to solve in preparation for standardized testing. The authors have composed and selected problems that lend themselves to multiple solution paths, and then organized them into three
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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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 Overthinking My Teaching  Christopher Danielson
Blog by a community college math teacher "interested in hard questions about teaching." Posts, which date back to July, 2009, have included "Wump hats," "An unnoticed rule for number language," "The end of word problems," "Cubeyness," "Cardinal and ordinal
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 The Pai Intersect  Jimmy Pai
Blog by an Ottawa (Canada) secondary mathematics teacher and graduate student in education. Posts, which date back to August, 2012, have included "Understanding Fraction Division #2  Part 1," "$100 Tablet Project," "Spiraling through the curriculum,"
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 Palmer's Ponderings  Christina Palmer
Blog by a high school math teacher in Massachusetts. Posts, which date back to June, 2013, have included "I wonder...... (Cheerios in a chimney box)," "Four = Eight (almost)," "Today I Shut Up," "State Test Questions That Make Me Angry," "TMC14," "Compounding
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 PlaceValue: ProblemSolving and Written Assessment Using DigitCorrespondence Tasks  Ross, Sunflower
This study examined the effects of researcherdeveloped lessons on students' understanding of two and threedigit numeration. Digitcorrespondence tasks, often used for individual interview assessment of place value understanding, were adapted to be
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 Potent Problems  Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
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 Problem Problems  Michael Pershan
Blog by a New York City math teacher trying "to better understand the connections between problem solving, learning, and teaching." Posts, which date back to May, 2015, have included "Getting Stuck on a Geometry Problem," "Minimalistic Hints Are Still
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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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 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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 rawsonmath  Pamela Rawson
Blog by a math teacher at STEMfocused public charter high school. Rawson, who worked for 25 years in traditional public high schools in and around southern Maine, describes herself as "still learning." Posts, which date back to August, 2012, have included
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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 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 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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 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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 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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 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/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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 Thinking Mathematically  Mark Chubb
Blog by a teacher and instructional coach in Canada. Posts, which date back to June, 2016, have included "Purposeful Practice: Happy Numbers"; "Concept vs Procedure: An anecdote about what it means to be good at math"; "Never Skip the Closing of the Lesson";
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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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