 The Academy of Inquiry Based Learning
A "big tent" community of instructors, teachers, and supporters of inquirybased learning (IBL), the Academy of Inquiry Based Learning (AIBL) supports the education of students "deeply engaged in rich mathematical tasks who have ample opportunities to
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 Algebrainiac  Jessica Bogie
Blog by a Chicagoland middle school geometry and history teacher with more than a decade of experience teaching algebra and prealgebra. Posts, which date back to August, 2012, have included "#MSSunFun: Teaching Students How to Study for Assessments,"
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 Andrew M.H. Alexander
JavaScript by Alexander includes "the gear seer," which shows not just bike gear ratios but gear inches and meters development. Input wheel and tire size to see speed at a given cadence. This bicycle drivetrain visualizer further compares different drivetrains,
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 Arbelos Internet Math Society  Bert Liberi and William F. Widulski, Westchester Communtiy College
A mathematics society dedicated to the pursuit of elegance in problemsolving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problemsolving,
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 Authentic Inquiry Maths  Bruce Ferrington
Blog by an Australian teacher who advocates Tedious Repetitive Activities Involving Number (TRAIN) for the Genuine Application of Mathematical Experience (GAME). Posts, which date back to April, 2012, have included "Top 10 Maths Songs," "Maths and Making
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 The Benezet Centre  Richard Hake & Sanjoy Mahajan
In 1929, Louis Benezet tried an experiment, "abandoning all formal instruction in arithmetic below the seventh grade and concentrating on teaching the children to read, to reason, and to recite." The experiment was successful; this site includes Benezet's
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 Beyond Traditional Math
Blog by a teacher who "was appalled to be handed a math book in which all instruction was whole group," and who subsequently "went on a mission to change and move beyond that traditional model of math in the elementary classroom." Subtitled "Fostering
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 Bowland Maths  Bowland Charitable Trust
Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 1114. In particular, download series of standalone assessment items that challenge students to estimate the number of descendants
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 Brain Science & ICT in Mathematics Education  Dave Moursund
An exploration of three major topics from a math education point of view: Brain Science Craft & Science of Teaching & Learning (C&S of T&L) Information & Communications Technology (ICT). Read the author's thoughts on constructivism,
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 Bridging The Gap  Nicora Placa
Blog by a former elementary and middle school math teacher pursuing a Ph.D. in teaching and learning. Posts, which date back to April, 2013, have included "The subway ad that changed my life," "Transforming the Teaching Profession: It starts with RESPECT,"
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 Casting out Nines  Robert Talbert, The Chronicle of Higher Education
Blog from The Chronicle "where math, technology, and education cross." Posts, which date back to December, 2005, have included "Inside the liberal arts math course," "Not to be a calculus heretic or anything, but...," "A taste of Tufte," "A proposal about
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 Classic Fallacies  Philip Spencer; University of Toronto Mathematics Network
Mathematical "proofs" demonstrating, among other things, that 1 = 2 and that all people in Canada are the same age. Each consists of several steps, and users search for the flaws. For every step there is explanation of why the flaw is or is not in that
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 cognitive acceleration  Cognitive Acceleration Associates
Cognitive acceleration (CA) emphasizes "'big ideas' or organizing conceptual strands in mathematics, rather than procedures and algorithms." Published collections of math lessons include Thinking Maths, Primary Cognitive Acceleration through Maths Education,
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 Common Mistakes in College Mathematics  Eric Schechter
Pointers for students about mistakes in general mathematics and calculus. Errors include: everything is additive, loss of invisible parentheses, incorrect writing of fractions, derivative of x to the x, unbalanced differentials, and naive answers for
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 Constructing Math Instruction  Chris Robinson
Blog by teacher "averse to binary thinking that refuses to countenance all the complexities of the minefield that is the real classroom." Posts, which date back to December, 2012, have included "Number Sense and My Students"; "Analyzing Student Questions";
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 The Cow in the Classroom  Ivars Peterson (MathLand)
Math Curse by Jon Scieszka and Lane Smith spoofs the types of word problems that educators and textbook writers invent to dress up arithmetic exercises and, supposedly, to demonstrate the relevance of math to everyday life. Canadian economist and humorist
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 Department of Science & Mathematics Education: Research and Development  Univ. of Melbourne, Australia
Read faculty research and learn about their projects and interests: children's understanding of statistical and probabilistic concepts; the negotiation of meaning in mathematics & science classrooms (The Classroom Project); the expression of algorithms
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 Drawing on Math  Tina Cardone
Blog by a public high school math teacher in Massachusetts who has participated in Boston University's PROMYS and the Institute of Advanced Studies' PCMI. Posts, which date back to August, 2011, have included "End of Year Reflections: Geometry Favorite
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 Educational Aspirations
"Ramblings from a 21st century educator" who specializes in differentiating math and seeks to make the subject "more engaging and relevant to students' lives." Blog posts, which date back to July, 2011, have included "Measuring Student Growth," "Twitter
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 The Educational Gaming Environments group (EdGE)  TERC
"At the forefront of the 'Games for Good' and 'Serious Games' movements," this research design and development team investigates gamebased learning environments. Funded in part by the National Science Foundation (NSF), EdGE supports and measures engagement
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 EduSoft: Education for Excellence  EduSoft Ltd.
EduSoft develops and markets multimedia educational titles, with programs in over 20 different languages grouped in four major product lines: English Learning, Early Learning, Math
& Science, [Every Day Mathematics  Problem Solving Courseware]
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 Finding Ways to Nguyen Students Over  Fawn Nguyen
Nguyen blogs mostly about her teaching middle school math. Posts, which date back to November, 2011, have included "Teaching 101  How I Got Like This," "Puzzles and Brainteasers, Set 11," "Pi Day Activities," "Always Sometimes Never," "Using Excel for
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 Focus on Student Practice  Suzanne Alejandre
Article about how students worked on the Problem of the Week (PoW) "Wooden Legs" in a way that developed the Common Core State Standards (CCSS) Mathematical Practice of "making sense of problems and persevering in solving them." This article, originally
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 for the love of learning  Joe Bower
"Assessment is not a spreadsheet — it's a conversation." Describing his early teaching practice as "focused on power and control," Bower has followed three principles since 2004: "students should experience their successes and failures not as reward
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 Future of Math  Jamie Tubbs
This site supports the use of blogs, digital cameras, digital portfolios, discussion forums, spreadsheets, and other digital media to enhance student understanding of mathematics. Find suggestions on how to teach with journals, problemsolving, learning
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 geometrywiz  Teresa Ryan
Blog subtitled "learning about learning and teaching mathematics." Posts, which date back to November, 2013, have included "Reflecting on Learning Objectives," "Reflections and Inquiry," "What Started as Tough, Becomes Good," "Refresh, Reflect, and Reinvent,"
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 Harold Reiter's Home Page  Harold Reiter, Department of Mathematics, University of North Carolina at Charlotte
Freely downloadable puzzles and problems from the founder of teachers circles and math clubs in Charlotte and Mecklenburg, longtime writer of MathCOUNTS questions, and member of the ETS/College Board CLEP (CollegeLevel Examination Program) Precalculus
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 Helping with Homework  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: How can I help my child with math homework?
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 I Choose Math  Justin Lanier
Blog by a high school teacher in Brooklyn Heights. Posts, which date back to August, 2011, have included "SBG: Affective Quizzing," "FreeChoice Time: Origins," "Introducing Proof Using Formal Systems," and "Math is Personal: A smOOC about Meaning, Sharing,
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 Infinite Sums  Claydon
Blog by a high school math teacher in Houston, Texas, who "decided the corporate engineering world was not for me, so now I joke around with teenagers and teach them math. And soccer." Posts, which date back to June, 2011, have included "Standards Based
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 Inquiry maths  Blair, Andrew; and Martin, Caitriona
Inquiry prompts for topics related to number, algebra, and shape to use in secondary school mathematics. Accompanying notes support teachers who "want to make their lessons more open and, thereby, encourage student independence and leadership."
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 The Insight Method of Teaching Math  Robert Frick
How and why to teach math via mental models, as articulated by a cognitive psychologist who describes the "learning is memory" approach as "a disaster and a tragedy." See, in particular, Frick's sample problems: reverse arithmetic, expressing patterns,
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 Interactive Mathematics Miscellany and Puzzles  Alexander Bogomolny
"The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based  the more beautiful is the result." This awardwinning site offers
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 Interactive Mathematics Program (IMP)  Key Curriculum Press
A fouryear integrated problembased secondary mathematics curriculum and professional development program for teachers that meets college entrance requirements and prepares students to use problemsolving skills in further education and on the job. Information
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 Jo Boaler
From the author of What's Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject. Watch a YouTube clip of Boaler teach using Inquiry Based Learning method, or click through her presentation entitled
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 John Mason's Projects  John Mason
Projects by the author of Thinking Mathematically and former director of the Centre for Mathematics Education: Structured Variation Grids and other animations and applets; studies in algebraic thinking; mathematical explorations; MEMEs (Meaning Enquiry
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 Joy of Problem Solving  Deepak Kulkarni
Math olympiad programs for elementary and middle school kids by a Ph. D. in computer science and former NASA researcher. See, in particular, the section of Kulkarni's site entitled "How to Work on Problems," which includes essays such as Problem Solving
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 Just Tell Me the Answer  "Never!"  Matt Owen
Blog by an algebra and physics teacher who believes students "have a real chance at understanding if I'm just willing to let them struggle." Posts, which date back to August, 2012, have included "Answering 'the Question,'" "Flipclass Reflections So Far,"
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 Kangaroo Maths  Kangaroo Maths Ltd
Free maths resources to download in number, algebra, shape and space, and data handling. Assessments include homework sheets and "make the grade" tests; games and puzzles offer World Cup spreadsheet simulations. Kangaroo Maths also hosts Microsoft Word
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 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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 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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