 Mathematical Thinking  Swan, Malcolm; and Ridgway, Jim
Selfcontained, selfinstructional modules that "promote and assess thinking skills in mathematics." Mathematical Thinking Classroom Assessment Techniques (Math CATs) tasks from the Fieldtested Learning Assessment Guide (FLAG) include "Fault Finding
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 Mathematics and Biology  Cut the Knot!, Alexander Bogomolny
A discussion of evolution, inheritance, genes and mutation, the Prisoners' Dilemma, and how these and other biological themes relate to mathematics, with an applet that applies a genetic algorithm to solving the Toads and Frogs puzzle. An interactive
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 Mathematics Task Centre  Black Douglas Professional Education Services
Over 200 tasks that "invite students to work like a mathematician." Conceiving of a task as "the tip of a learning iceberg," each freely viewable lesson plan includes a summary, a list of materials required, the "Iceberg," and a description of whole class
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 Mathematics  WestEd
Descriptions of WestEd's Science and Mathematics Projects, with supporting print and online resources: 24® Game Demonstration Project, California Mathematics Implementation Study, Evaluation of Interactive MultiMedia Exercises (IMMEX), Evaluation:
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 Math in Everyday Situations (Learning and Mathematics)  Richard Lesh; Math Forum
In his 1985 article, "Processes, skills, and abilities needed to use mathematics in everyday situations," Dick Lesh, of the Educational Testing Service (ETS) in Princeton, New Jersey, writes that if students are provided with everyday situations for practicing
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 The Math Lab @ Room 27  Matt Jones
Subtitled "It doesn't HAVE to be boring ...," this blog dates back to March, 2014. Posts have included "March Math Madness, New Additions to the Room, and Another Quote"; "Common Core Backlash"; "The Best Laid Plans..., 'Real World' Math, and 3rd Grade
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 Math Minds  Thornburg, Nancy; and Gray, Kristin
Blog by K5 math specialists, one Nationally Board Certified in Early Childhood, the other in Middle Childhood. Thornburg and Gray teach Intensive RTI groups and enrichment groups in grades K5 daily. Posts, which date back to April, 2013, have included
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 Math Misery?  Manan Shah
Blog that "aims to convey the general feeling that the majority of people have when it comes to working with mathematics... and bring awareness about what mathematics is and what mathematicians do." Posts, which date back to May, 2013, have included "Figuring
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 MathPro Press  Stanley Rabinowitz
MathPro Press specializes in the publication of compendiums and indexes of mathematics problems. Purchase MathPro Press books of problems from math olympiads and contests. Link to math competition web sites; or browse a bibliography of books of problems
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 Math Reasoning Inventory  Scholastic
An online formative assessment tool for the Common Core State Standards (CCSS) math domains of number and operations. Watch Math Reasoning Inventory (MRI) clips of facetoface interviews of students as they reason and explain their strategies, demonstrate
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 Maths? No Fear!  Matt Skoss
Wiki for sharing practical ideas that engage kids in working as a mathematician, strategies for using Web 2.0 tools, and more. Become a member to access notes and other resources on the structure of maths tasks, problem solving, and more.
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 MathSugarOff  Priscilla Bremser
"Notes on mathematics teaching and learning at all levels" by a Middlebury College mathematics professor who works with K8 teachers in the Vermont Mathematics Initiative (VMI) professional development program and conducts her undergraduate classes with
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 Math Thinking  David Wees
"Sharing thinking about math from students": a collection of work by students that teachers have not taught them explicitly how to do. Wees elaborates that "the idea or technique a student uses does not itself have to be completely original, just new
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 Math Towers  Dr. Geoff Roulet, Queen's University
Mathtowers.ca is a website where groups of Grades 7 and 8 students can collaboratively explore openended mathematics problems. Students are presented with a problem context and provided with a laboratory, interactive tools and recording space to support
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 Mathy McMatherson  Daniel Schneider
Blog by a public high school teacher in Tucson, Arizona, who graduated from the University of Arizona Secondary Mathematics Education Program. Posts, which date back to July, 2011, have included "Teaching as Creation," "Fixing Bugs Part 2: Algebra &
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 mikesmathpage  Mike Lawler
Blog by a former math professor "writing about math with my kids." Posts, many with videos of Lawler and his children at a whiteboard, date back to November, 2013: "Day in the life of a home school dad," "Family Math and paper folding," "Fun with James
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 Mr. Vaudrey's Class  Matt Vaudrey
Blog by a secondary educator who "wears costumes, plays loud music, stands on desks, and shows pictures and video — all to make math meaningful for his students." The contents of mathematical posts, which date back to January, 2008, have included
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 Musings from Mrs. Galvan  Regan Galvan
Blog of "thoughts on teaching math and on promoting social, emotional wellness among my students and colleagues" by a selfdescribed fan of students creating digital portfolios in math. Posts, which date back to February, 2013, have included "Geometry
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 The NASA SCIence Files  NASA Langley Research Center
A series of free instructional programs consisting of a broadcast, print, and online elements. Emphasizing standardsbased instruction and problembased learning, the NASA Sci Files motivate students in grades 35 to become critical thinkers and problem
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 The National Numeracy Strategy  Department for Education and Employment, United Kingdom
The Standards Site: Numeracy. Frameworks for teaching mathematics from Reception through Year 7, key elements of the training materials that will support the U.K.'s Numeracy Strategy. Assessment in and planning the National Numeracy Strategy, schools
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 The Nuffield Foundation
Math teaching and learning resources include freely downloadable Freestanding Mathematics Activities (FSMAs) and Applying Mathematical Processes (AMP) activities, a mix of investigations and practical explorations. The Nuffield Foundation works to improve
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 The Number Warrior  Jason Dyer
Blog by an algebra and calculus teacher. Posts, which date back to January, 2008, have included "The Educational Problem with Teaching Multiplication as Repeated Addition," "Nonlinear lesson design (Giant Ants of Doom)," "The design of mathematical notation,"
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 Off The Hypotenuse  Glenn Kenyon
Kenyon started this blog in pursuit of "a good discussion of resources, ideas, and innovative ideas for teachers of Algebra." Humorous videos, comic strips, and posts, which date back to March of 2007, have included "Math Lessons learned from Karate,"
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 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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 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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 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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 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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 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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 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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 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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 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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