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  Selected Sites   (see also All Sites in this category)

  1. Common-Sense Questions (Learning and Mathematics) - G. Polya; Math Forum
    In his 1957 book, How to solve it, Polya describes a four-stage approach to mathematical problem-solving. He bases his approach on common-sense questions that would naturally occur to an experienced problem-solver. Polya claims teachers should pose these questions to students in as natural and unobtrusive a way as possible, the goal being to encourage independence and internalization of this framework. A geometry.pre-college newsgroup discussion. more>>

  2. Don Knuth's Home Page - Donald E. Knuth, Stanford University
    From the author of The Art of Computer Programming. "Computer Musings" chronologically documents Knuth's informal lectures at Stanford. It also links to Musings Online, digitized versions of videos from the lecture series that included Dancing Links; The Joy of Asymptotics; Bubblesort at random (one-dimensional particle physics); Finding all spanning trees; Trees, Forests, and Polyominoes; and Mathematical Writing (1987). See, in particular, "The 'Aha' sessions," over 25 hours of graduate CS students tackling five previously unsolved programming problems in number theory, code-breaking (cryptagrams), high-speed chip testing, distributed control, and computer graphics (a self-portrait). "You could literally see the Aha taking place. People can watch the problem-solving process as it occurred." Frequently Asked Questions include "What's your favorite programming language?" and "Why do you pay $2.56 for every error found in your books?" and "Who will answer my questions about TeX?" Also, Knuth's recent news, preprints of recent papers, encapsulated PostScript graphics to download, and CWEB and other programs to download, featuring two demonstrations by different methods that exactly 2,432,932 knight's tours are unchanged by 180-degree rotation of the chessboard. more>>

  3. Problem Solving in Mathematics - Jim Wilson; Univ. of Georgia
    Problems in algebra, geometry, conversion, cryptarithm, "mean," trigonometry, and a mixture of all, many with comments and solutions, from a course given in the Dept. of Mathematics Education at the University of Georgia. The site also provides links to papers, including "Mathematical Problem Solving" (Wilson, Fernandez, & Hathaway), a synthesis of research on problem solving [published as ch. 4 in Wilson, P. S. (Ed.) (1993), Research Ideas for the Classroom: High School Mathematics, New York: MacMillan]. more>>

  4. Problem Solving Strategies - Finlay McQuade, Boğaziçi University (Turkey)
    Strategies for solving problems, each illustrated with sample math challenges and worked solutions: draw a diagram; make a list; guess and check; divide and conquer; look for a pattern; start at the end. Also available in Turkish. more>>

  5. Problems with a Point - Education Development Center, Inc. (EDC)
    A collection of problems designed to help students in grades 6-12 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, home-schoolers, and others. Problems are classified by topic, time required, suggested technology, required mathematical background, and habits of mind that students develop or use as they work. Synopses of the problems are keyword searchable. Answers and solutions are provided, and many problems include hints. more>>


 
  All Sites - 121 items found, showing 1 to 50

  1. The Academy of Inquiry Based Learning
    A "big tent" community of instructors, teachers, and supporters of inquiry-based 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 ...more>>

  2. Algebrainiac - Jessica Bogie
    Blog by a Chicagoland middle school geometry and history teacher with more than a decade of experience teaching algebra and pre-algebra. Posts, which date back to August, 2012, have included "#MSSunFun: Teaching Students How to Study for Assessments," ...more>>

  3. 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, ...more>>

  4. Arbelos Internet Math Society - Bert Liberi and William F. Widulski, Westchester Communtiy College
    A mathematics society dedicated to the pursuit of elegance in problem-solving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problem-solving, ...more>>

  5. 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 ...more>>

  6. 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 ...more>>

  7. 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 ...more>>

  8. Bowland Maths - Bowland Charitable Trust
    Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 11-14. In particular, download series of stand-alone assessment items that challenge students to estimate the number of descendants ...more>>

  9. 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, ...more>>

  10. 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," ...more>>

  11. 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 ...more>>

  12. 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 ...more>>

  13. 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, ...more>>

  14. 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 ...more>>

  15. 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"; ...more>>

  16. 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 ...more>>

  17. Daily Dose of Teaching Awesome - John Mahlstedt
    Blog by a math teacher in the Bay Area who also coaches track and basketball at his middle school. Posts on his "journey to find and document at least ONE good thing everyday of the school year" date back to January, 2014: "Desmos Brings the Noise," "Central ...more>>

  18. 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 ...more>>

  19. Divisible by 3 - Andrew Stadel
    Stadel has taught pre-algebra, algebra, and geometry in middle school since 2004. His blog about "interactions with math, logic, life, teaching, and the web they spin together" dates back to March, 2012, with posts such as "Survey your students"; "2012 ...more>>

  20. 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 ...more>>

  21. 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 ...more>>

  22. 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 game-based learning environments. Funded in part by the National Science Foundation (NSF), EdGE supports and measures engagement ...more>>

  23. 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] ...more>>

  24. 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 ...more>>

  25. Five Twelve Thirteen - Dylan Kane
    Blog by an eighth grade math teacher in Boston. Posts, which date back to October, 2012, have included "Assessment & Rigor," "Pythagorean Triples Function," "Construct Viable Arguments and Critique the Reasoning of Others," "Guatemalan Sinkhole," "Problem ...more>>

  26. 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 ...more>>

  27. 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 ...more>>

  28. 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, problem-solving, learning ...more>>

  29. 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," ...more>>

  30. Growing Exponentially - Heather Kohn
    Blog of "reflections on teaching math and striving to do better each day than the last." Posts, which date back to August, 2012, have included "Olympic Fever," "Work in your head, Points in my head," "Graphing Calculator Activities," "Absolute Value Project," ...more>>

  31. 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 (College-Level Examination Program) Pre-calculus ...more>>

  32. Helping with Homework - Math Forum, Teacher2Teacher FAQ
    Answers to a frequently asked question: How can I help my child with math homework? ...more>>

  33. 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," "Free-Choice Time: Origins," "Introducing Proof Using Formal Systems," and "Math is Personal: A smOOC about Meaning, Sharing, ...more>>

  34. 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 ...more>>

  35. in pursuit of nerdiness
    Blog by a middle grades and high school math teacher, formerly in the South Bronx, currently in the Netherlands teaching both within the Dutch national curriculum (in English) and within the International Baccalaureate Middle Years & Diploma Programs. ...more>>

  36. 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." ...more>>

  37. 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, ...more>>

  38. 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 award-winning site offers ...more>>

  39. Interactive Mathematics Program (IMP) - Key Curriculum Press
    A four-year integrated problem-based secondary mathematics curriculum and professional development program for teachers that meets college entrance requirements and prepares students to use problem-solving skills in further education and on the job. Information ...more>>

  40. 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 ...more>>

  41. 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 ...more>>

  42. 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 ...more>>

  43. 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," ...more>>

  44. 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 ...more>>

  45. 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" ...more>>

  46. 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." ...more>>

  47. 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; ...more>>

  48. The Legacy of R. L. Moore - Educational Advancement Foundation
    The Legacy of R.L. Moore Project promotes the study of inquiry-based 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 ...more>>

  49. Making Learning Real - Nashville State Technical Community College and WGBH Educational Foundatio
    Videos, professional development, and other resources for teachers already teaching Problem-Based Case Learning (PBCL) or considering such instruction grounded in real-time workplace situations. PDFs available for free download include a Need to Know ...more>>

  50. Math and Problem-Solving - 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 ...more>>


 
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