- 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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- Place-Value: Problem-Solving and Written Assessment Using Digit-Correspondence Tasks - Ross, Sunflower
This study examined the effects of researcher-developed lessons on students' understanding of two- and three-digit numeration. Digit-correspondence 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 non-routine, constructed-response 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 open-ended 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 co-authored 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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- Reflections of a Techie - Marsha Ratzel
Reflections "on using 21st century technologies to amplify learning," as blogged by a self-described 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 teacher-made 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 A-Level Core Mathematics - Jonny Griffiths
Download PDF task files of 40 open-ended 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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- 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 non-routine 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 Pre-Algebra, Algebra I, Geometry,
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- Suffolkmaths.co.uk - Mark Greenaway
Greenaway hosts a select collection of third-party 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 problem-solving strategies,
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- Supporting Sense-Making 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 Resources: Mathematics - McGraw-Hill School Division
Activities and lesson plans for grades 1-6, linked to McGraw-Hill'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 high-leverage practices and on the subject-matter 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 one-to-one laptop program, blogs to "describe his own independent learning and to re-inspire the natural curiosity sometimes absent from the typical high school classroom." Posts, which date back
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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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- UBUYACAR - Maricopa Center for Learning and Instruction
An online problem-based 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 problem-solving process. A Tutor's Manual
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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: Expert-Novice 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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- 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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The Math Forum is a research and educational enterprise of the Drexel University School of Education.