 langer.kogut.math
"One year, two math teachers in Boston decided to throw everything out the window and start from first principles. Here's what happened...." Blog posts, which date back to March, 2013, have included "An Illustrative Example  Version Kogs/Whole Child"
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 Launchings  David Bressoud
This monthly column, sponsored by the Mathematical Association of America (MAA), originally aimed "to publicize and expand upon the CUPM Curriculum Guide 2004 and its two companions: the Curriculum Foundations Project, and the CUPM Illustrative Resources."
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 Learning to Learn: Problem Solving  Greg Gay, Learning Disabilities Resource Community (LDRC), University of Toronto
Find out about your learning style by solving challenging arithmetic, logic, and mathematical story problems. Puzzles include analogy exercises which reveal our abilities to infer, map meaning, classify, and alter knowledge in the face of novel learning;
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 The Legacy of R. L. Moore  Educational Advancement Foundation
The Legacy of R.L. Moore Project promotes the study of inquirybased learning (IBL) and teaching methods that Moore propagated while teaching topology at The University of Texas. The "Moore Method" eschews textbooks; calls for only the briefest of lectures
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 M^3 (Making Math Meaningful)  Mary Bourassa
Blog by the Director of Ontario Association for Mathematics Education (OAME). Posts by this winner of the NCTM Future Leaders Award date back to April, 2013, and have included "Parabolic Art," "Day 7," "Completing the Square with Algebra Tiles," "MFM2P
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 Making Learning Real  Nashville State Technical Community College and WGBH Educational Foundatio
Videos, professional development, and other resources for teachers already teaching ProblemBased Case Learning (PBCL) or considering such instruction grounded in realtime workplace situations. PDFs available for free download include a Need to Know
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 Math and ProblemSolving  Dan Rosard
This site offers help with procedures, particularly in areas which have been observed to cause problems to some students; and unstructured problems with clues and questions. The first problem attempts to emulate the thinking used in the development of
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 MATHCOUNTS  MATHCOUNTS Foundation
A national math coaching and competition program that promotes 7th and 8th grade math achievement through grassroots involvement in every U.S. state and several territories. At the beginning of each school year, the MATHCOUNTS Foundation distributes,
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 MathEd.net  Raymond C. Johnson
Blog begun in October, 2009, by a math education graduate student. Dedicated to "building bridges between research, policy, and practice," Johnson's posts have included "Patterns of Patterns," "RYSK: Erlwanger's Benny's Conception of Rules and Answers
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 Mathematically Speaking
"Thoughts and ideas about mathematics in the media, popular views of mathematics, and being a mathematician." This college professor's posts, which date back to April, 2009, have included "Crocheting and Hyperbolic Space," "Topology and the Moore Method
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 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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 The Math Nook  Adrienne Shlagbaum
Blog by a New Jersey teacher of fifth and sixth grade math who also has math enrichment groups for grades 14. Posts, which date back to January, 2013, have included "Homework Review — A Work in Progress," "It's a Match! Fractions, Decimals, and
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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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 Math Stuff  Strategic Education Research Partnership
Makers of Tools for Sensemaking; the 5 × 8 card, an observation protocol; AlgebraByExample, sets of algebra problems that prompt students to analyze and explain errors in wrongly worked examples; and poster problems for sixth and seventh graders,
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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 Talks  Fawn Nguyen
Number talks (NTs) by Nguyen's middle school students. Several student observations follow each mental math prompt, which include "Estimate 8235 divided by 71"; "Would you rather....?" and "Are there more inches in a mile or seconds in a day?" and "Which
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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. Orr is a Geek.com  Jon Orr
Blog by a Chatham, Ontario (Canada) secondary school math teacher. Posts, which date back to February, 2009, have included "Gr. 11 Quadratics Functions in the real world," "Grade 12 – Mind Map for Project," "Grade 9 Pentominoes," "Grade 11 – Exponential
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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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 National Association of Math Circles  Mathematical Sciences Research Institute
In a Math Circle, students and mathematical professionals gather informally to work on interesting problems or topics in mathematics. The goal of this education enrichment is to get students excited about mathematics, giving them a setting (usually after
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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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 Number Loving Beagle  Megan Schmidt
Blog by a high school teacher in Minnesota who also serves as the head of her math department. Posts, which date back to September, 2013, have included "Aha for patient problem solving"; "Creating Mathematically Curious Students"; "A Speedy Makeover for
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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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 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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