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  1. Between Arithmetic and Algebra - Cut the Knot!, Alexander Bogomolny
    What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression to acknowledgement of patterns as such. How did people express general ideas before the advent of algebra in the 15th-17th centuries? A discussion of patterns and number systems with a Java applet showing Addition and Multiplication Tables in Various Bases. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/ctk/between.html. more>>

  2. Patterns - Suzanne Alejandre
    Links to Web sites with patterns. Students look through the pages and answer these questions: How do natural patterns influence us? How do patterns help us to solve problems? Can you put elements of a pattern into an order that can be measured? that can be studied? that can be predicted? more>>


 
  All Sites - 287 items found, showing 1 to 50

  1. 0h h1 - Martin Kool
    A "little logic game" related to Takuzu and Binario: complete grids of 4 × 4, 6 × 6, 8 × 8, or 10 × 10 so that all rows and columns have an equal number of each color, but none has three adjacent tiles of the same color or shares the ...more>>

  2. 1000 Lockers - Math Forum, Ask Dr. Math Common Question
    A selection of answers to the "locker problem": "There are 1000 lockers in a high school with 1000 students. The problem begins with the first student opening all 1000 lockers; next the second student closes lockers 2,4,6,8,10 and so on to locker 1000; ...more>>

  3. 19th Century Schoolbooks - University of Pittsburgh
    Search the full text of dozens of antique books used to learn and practice arithmetic and other mathematical subjects in the schools of 1800's America. Browse scanned images (gif or PDF) of centuries-old pages, or search for text within primers, readers, ...more>>

  4. 42eXplore - Annette Lamb and Larry Johnson
    Web projects that offer definitions, activities, four good starting points, and many more links and resources for thematic topics such as charts and graphs; codes, ciphers and secret messages; fractals, tessellations, geometric shapes, and figures; number ...more>>

  5. 7puzzle - Paul Godding
    School visits by the UK's "Puzzle Man" feature number-related board games, card games, tricky puzzles, and other math activities that involve logic, strategy, and spatial/visual awareness to improve children's mental arithmetic skills and feed their enthusiasm ...more>>

  6. ABC Home Preschool - Shana Albert
    Resources for homeschoolers, including Preschool Curriculum Workbooks, binders that feature a nine month-long curriculum and "use and reuse" wipe-off pages. ...more>>

  7. ABCya.com - ABCya.com, L.L.C.
    Free educational math games that introduce basic computer skills: Geometry Practice, Addition with Manipulatives, Subtraction Match Game, Math Facts Basketball, Interactive 100 Number Chart, Math Bingo, Place Value Shoot-Out, Fraction Tiles, Tower of ...more>>

  8. Active Worksheets - David Womersley, Active Maths Limited
    Formerly known as the Worksheet Factory, you can create worksheets online for an annual subscription fee: click on the "change" button and watch the numbers, angles, shapes or equations change; click on the "print" button to print a pupil worksheet and ...more>>

  9. Activity Resources - Activity Resources Inc.
    Created by Mary Laycock for mathematics teachers, with the goal of providing a real understanding of mathematics through hands-on (manipulative) activities. Purchase books and manipulatives on arithmetic, base ten, red and blue blocks, Cuisenaire rods, ...more>>

  10. The Algebra Project - The Algebra Project, Inc.
    The Algebra Project seeks to impact the struggle for citizenship and equality by assisting students in inner city and rural areas to achieve mathematics literacy. Read about the project's teacher training and support programs such as MUSIC (Multi-User ...more>>

  11. Alien Tiles Official Web Page - Pickover and Mckechnie
    A difficult puzzle developed by Dr. Cliff Pickover and Cam Mckechnie. (Some have called it Rubik's cube for the new millennium.) The rules are simple, but the patterns soon become very complex. The authors look forward to hearing from artists, puzzle ...more>>

  12. Alive Maths/Maths à Vivre - Nathalie Sinclair
    Hands-on, interactive "microworlds," in which students investigate patterns and relationships, pose questions, play with the variables, and solve problems: Play with Lulu on a grid; practice triangle reflections; play with fractions and decimal patterns ...more>>

  13. Al Zimmermann's Programming Contests - Al Zimmermann
    An "arena where demented computer programmers compete for glory and for some cool prizes." Computationally intensive problems, often involving heuristics, have included "Point Packing," "Retaining Water" (based on magic squares), "Son of Darts," "Topswops" ...more>>

  14. Analysis & Knowledge - Sanford Aranoff
    Download data analysis software, such as Patterns, which analyzes and charts trends in stock market using Andrews concepts. See also this former Rutgers University physics professor and current high school educator's thoughts on teaching and help file ...more>>

  15. Arte Matemática - TV Cultura
    Introducões, entrevistas, e programas sobre geometria, números, simetria, perspectiva, tempo, espaço, ritmo, beleza, ordem, caos, o número de ouro, Pítagoras, e mais. Com biografías curtas de autores e artistas. ...more>>

  16. An Artist's Timely Riddles - Ivars Peterson - Science News Online
    The late 19th and early 20th centuries were a time of great popular interest in visualizing a fourth spatial dimension - a concept that appeared to offer painters and sculptors, in particular, an avenue of escape from conventional representation. Moreover, ...more>>

  17. 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>>

  18. Between Arithmetic and Algebra - Cut the Knot!, Alexander Bogomolny
    What is the difference between the arithmetic 3 + 5 = 5 + 3 and the algebraic a + b = b + c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives ...more>>

  19. The Big List of Puzzle and Riddle Pages - MindBreakers Associates Inc.
    An annotated list of links to sites with collections of math and word puzzles; also the best puzzles (the files), ranked for coolness and difficulty, with solutions and discussion: Gold for free; Just draw a line...; Turn on a lightbulb; the Wizard and ...more>>

  20. Books that Compliment the Classroom - Mary-Ellen Musacchia, Little Red Hen Press
    The Jelly Bean Parade is a story for children in Pre-K-3 about how jelly beans are made. The author writes, "The information presented keeps little ones interested and active in the story. After a read aloud, students can actively engage in: color identification, ...more>>

  21. 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>>

  22. Brainwave - Wognum Art
    Ten visual puzzles, to test your visual and reasoning skills. Most have to do with symmetry recognition. There is a "top 5% brain" award to those who earn ten "smart bulbs." ...more>>

  23. Bricks Activity - Suzanne Alejandre
    A classroom activity (also called the Masonry Problem; a variation on polyominoes) aligned to the NCTM and California Standards, to be explored through manipulatives (dominoes). Students explore different possibilities of making brick walls with and without ...more>>

  24. BrighterDiscovery.com - KW Studios, Inc.
    Products for children to "reach their full potential while having fun doing it." Browse by age (from 0-12 months to 8+ years) or product type, including Activity Toys, Alphabet & Numbers, Blocks & Building Sets, Games, Puzzles & Logic, and ...more>>

  25. Brilliant
    Weekly Olympiad-style challenges that offer "rigorous, competitive, whimsical, and edifying" problem sets in math and physics. Register to explore the Brilliant Techniques Trainer's practice exercises; answer correctly to earn points redeemable for lanyards, ...more>>

  26. Carnegie Foundation for the Advancement of Teaching
    An independent policy and research center improving teaching and learning. See in particular Quantway® and Statway®, the foundation's developmental math pathways for community college. ...more>>

  27. Cascade Math Systems - Cascade Math Systems LLC
    Narrated screencasts of a multi-sensory approach to reviewing or refreshing understanding of patterns, whole numbers, fractions, integers, and more. See also Cascade Math's YouTube channel. ...more>>

  28. Center for Technology and Teacher Education - Curry School of Education, University of Virginia
    An interdisciplinary group that develops materials to prepare teachers to use technology to enhance and extend students' learning of mathematics. This site offers activities using graphing calculators, The Geometer's Sketchpad, Microsoft Excel, the ExploreMath.com ...more>>

  29. Chess Math (SMILE) - Louis C. Jackson, Lincoln Elementary School
    A lesson designed to reinforce students' knowledge of angles as they become chess pieces on a floor chess board. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning ...more>>

  30. Christmas With The Polyiamonds Puzzle Family - Jos H. Hindriks
    Polyiamonds share their general principles with Pentominoes, except that their basic 'cell' is the sixty-degree triangle instead of the square. The term 'Polyiamonds', derived from the word 'diamond', was introduced in 1961 by T.H. O'Beirne. Hexiamonds, ...more>>

  31. Classic Problems - Math Forum; Ask Dr. Math FAQ
    Classic problems from the Ask Dr. Math FAQ (Frequently Asked Questions) files, including: age word problems, birthday probability, boy or girl?, camel and bananas, coin problems, doubling pennies, grazing animals, liars and truthtellers, the missing dollar, ...more>>

  32. Classification of Patterns - Brown-Herbst, Donnelly, Stratton, Anderson-Nielsen; The Geometry Center
    Materials about symmetry and classification of repeating patterns for students in grades 7-10 using wallpaper patterns, to be used as either an introduction or a review: a classroom-ready source of information. A final project created for Math 5337, Technology ...more>>

  33. Classification (SMILE) - Delores B. Wilburn, Shakespeare School
    A lesson designed to motivate students to understand classification, and to teach decision-making, how certain objects relate to the number system, and the meanings of some words used to express mathematical ideas. From the Patterns and Logic section ...more>>

  34. Classroom Projects - TEAMS Distance Learning, Los Angeles County Office of Education (LACOE)
    A site for teachers looking for a content area project or contest for the classroom. Join a TEAMS project or browse a list of projects and contests sponsored by other organizations. Extensive list of upcoming, current, ongoing, and completed projects ...more>>

  35. Coffee Hour Problem of the Week - Matthew McMullen
    Classic and "found" problems, as well as original challenges, in number theory, logical reasoning, statistics, calculus, geometry, and algebra. McMullen has posted PDFs of the PoWs, as well as their solutions, since 2007. ...more>>

  36. Collaborative Mathematics - Jason Ermer
    Videos for connecting "a worldwide community of mathematical problem solvers" and "cultivating a productive attitude toward challenging problems: one of creativity, resourcefulness, self-confidence, and perseverance." Two- and three-minute-long challenges ...more>>

  37. The Collage Theorem - Cut the Knot!, Alexander Bogomolny
    To find an IFS whose attractor is "close to" or "looks like" a given set, one must endeavor to find a set of transformations - contraction mappings on a suitable set within which the given set lies - such that the union, or collage, of the images of the ...more>>

  38. Connect 4 - Keith Pomakis
    Play it on the Web, specifying your own parameters. The site includes the rules of the game. ...more>>

  39. Contradancing and Matrices - Ivars Peterson (MathLand)
    Bernie Scanlon, a mathematics instructor at Bakersfield College in California, has been dancing nearly every weekend since 1990, even traveling to distant parts of the country to join in the fun. His passion is contradancing - a dance form unknown to ...more>>

  40. Counting Triangles (SMILE) - Mamie P. Scott, Coles School
    A lesson for grade 6 designed to teach students to organize, summarize, and record information; and to discover a rule or formula that will find the total number of triangles in a figure. From the Patterns and Logic section of a collection of almost 200 ...more>>

  41. Crop circles: Theorems in wheat fields - Ivars Peterson - Science News Online
    Patterns of circles and triangles surreptitiously flattened into the crops of southern England reveal the perpetrators' sophisticated knowledge of Euclidean geometry. ...more>>

  42. Cuisenaire Math - ETA/Cuisenaire
    From the makers of Cuisenaire Rods: Connecting Cuisenaire Rods, Cuisenaire Roddles (board games and puzzles that emphasize spatial reasoning skills), Cuisenaire Rods for the Overhead, Magnetic Cuisenaire Rods, and other manipulatives. Publications include ...more>>

  43. Culturally Situated Design Tools: Teaching Math through Culture - Ron Eglash
    Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, Pre-Columbian pyramids, and rhythm wheels -- and learning the mathematics behind them. Organized into African, African ...more>>

  44. The Dance of Chance Science Museum Exhibit - Center for Polymer Studies, Boston University
    An online version of an exhibit focused on the emergence of patterns in Nature from physical and biological processes that appear to be chaotic. Exhibit kiosks, many of which are fractals, include Music of the Heart, Frozen Lightning, Erosion, Viscous ...more>>

  45. Daniel Willingham
    From the author of Why Don't Students Like School? and When Can You Trust the Experts? (subtitled: "How to tell good science from bad in education"). See, in particular, Willingham's articles, such as "Why transfer is hard," "Why students remember or ...more>>

  46. Deep in the Jungles - Ivars Peterson (MathTrek)
    Humans are predisposed to seeing order and meaning in a world that too often presents random choices and chaotic evidence. Random events sometimes get linked into a meaningful, though ultimately bogus, scenario... At the same time, the mathematics of ...more>>

  47. Determinación Geométrica de los Números Primos y Perfectos - Omar E. Pol
    Un breve ensayo en que "se describe la geometría que determina la distribución exacta de los números primos y también de los números perfectos. Se ilustra el texto con diagramas originales; se muestra el modelo principal ...more>>

  48. Developing Algebraic Thinking - Suzanne Alejandre
    Teacher lesson plan and student kinesthetic activities on the Traffic Jam activity and applet, as originally published in the inaugural (Fall, 2002) issue of ON-Math, an electronic journal of the National Council of Teachers of Mathematics (NCTM). ...more>>

  49. Didax Educational Resources
    Didax publishes and distributes books, manipulatives, and software for math, reading, science, and art. The site offers free demo software, product descriptions, information requests, technical support, and current national educational standards. Didax ...more>>

  50. Digital Mathematical Performance - Gadanidis, George; Borba, Marcelo; Hughes, Janette; et al.
    Watch video, live-acted dramatic storyboards, and animations of how people "perform" mathematics: Flatland, "Help Me, Fermi," Should Parallel Lines Never Meet," "The Pleasure of Making 10" (linear equations), "The Waiter" (the missing dollar problem), ...more>>


 
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