 Visualizing Math
Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation
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 Visualizing Mathematics  Yerushalmy, Shternberg, Cohen, Talmon
A computeroriented inquiry curriculum for secondary mathematics. Visual Mathematics software programs include Calculus Unlimited; The Geometric Supposer; Modeling: MoveOn, The Function Sketcher & and Escalator. With descriptions, screen shots, ordering
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 VisualMath  G. Fonthal, VisualPhysics
Math shareware programs that feature visual and interactive techniques under Windows 95 may be downloaded from this site: for numbers (real, complex, binary); set theory (Venn diagrams); geometry (shapes and areas, 3D Geometry); algebra (equations, polynomials,
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 Visual Patterns  Fawn Nguyen
Visual patterns to extend and express algebraically, following the prompts on an accompanying handout. Nguyen, who teaches middle school math in California, has posted graphic arrays since December, 2012.
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 Visual Plane Geometry  Edu2000 America Inc.
A full curriculum on CDROM for Windows and Mac, combining hypertext and QuickTime animations to illustrate basic plane geometry concepts, triangles, polygons, circles, and the threedimensional world. Familiar real world examples help students visualize
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 Visuals Patterns in Pascal's Triangle (SMILE)  Ulysses Harrison, Dunbar Vocational High School
A lesson for grades 5 and up that uses a phenomenological approach to show students the many visual and number patterns present in the sequence of numbers in Pascal's Triangle, and to encourage them to explore the patterns on their own. From the Patterns
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 Vizual Statistix  Seth Kadish
Blog of statistics graphed by a Geoscience PhD who describes data visualization as his passion. Posts, which date back to January, 2012, have included "A Summation of Square Usage over 432 Chess Games"; a tiled plot showing the number of unique configurations
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 Vocabulary PuzzleMaker  Glencoe Online
Make the following types of puzzles to go along with your Glencoe text in prealgebra through geometry: crossword, word search with words, word search with clues, or jumble. Available for free download in both Windows and Macintosh formats.
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 Voce Viva ScriviFacile  Danieli Alessandro, SLD Software (Scribit&Legit&Dicit)
Interactive software for the four basic operations and algebraic expressions, primarily in Italian. "Dimostrazione del software Voce Viva ScriviFacile, con sintesi vocale e con comunicazioni vocali interattive che guidano nello svolgimento delle divisioni
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 Volume and Surface Area (SMILE)  Charlotte Goldwater, Kenwood Academy
A lesson for grades K12 designed to teach students to understand the difference between surface area and volume. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Volume of Water in an Aquarium  NASA Lewis Learning Technologies Project
How much water will fit in an aquarium that is shaped like a box and is 10 inches high, 6 inches wide, and 14 inches long? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Voyager Learning Math Solutions  Cambium Learning, Inc.
Math curricula and programs from "your comprehensive intervention partner": Inside Algebra, Voyager Online Algebra, Vmath Summer Adventure, VmathLive, Showtime! Math, Vmath, TeachingBOT, and TransMath.
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 Voyager Sopris Learning  Voyager Sopris Learning, Inc.
Researchbased curricula, targeted interventions, assessments for Dynamic Indicators of Basic Early Literacy Skills (DIBELS), positive school climate resources, and professional services to educators working with preK12 students who have special needs
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 VulcanSoft
Win95/NT4 software. Includes a measurement converter with 15 categories and over 270 different measurement units, a financial calculator with 14 different financial calculations and table output, and a city distance calculator with over 1900 cities, which
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 Vygotsky's Distinction Between Lower and Higher Mental Functions and Recent Studies on Infant Cognitive Development  Eugene Subbotsky; Psychology Department, University of Lancaster, UK
One of the major theoretical advances of Vygotsky's approach to cognitive development was his thesis that human mental functions are social in origin. In making this claim, Vygotsky was confronted with the difficulty of reconciling it with the fact that
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 Waldomaths  Ron Barrow
Original applets on number, algebra and graphs; shape, space and measure; probability and data handling, including histograms; investigative tools (quadratic and cubic sequences); core (pure) mathematics; decision mathematics (network graphs and linear
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 Walpha Wiki  Derek Bruff and others
As collaborative site to record how secondary and undergraduate math educators use WolframAlpha, or Walpha as it's called here, in the classroom. In particular, the authors are interested in how students might use Walpha themselves, as well as how teachers
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 Washington MESA
Washington MESA (Mathematics, Engineering and Science Achievement) is developing middle and high school curriculum units and middle school modules/books available through Cuisenaire Dale Seymour Publications that integrate concepts within mathematics
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 WASL Math Prompts  Port Angeles School District, Washington state
Sample questions for the WASL, Washington State Assessment of Student Learning. Most questions have answers printed above the questions. Sample questions are offered for kindergarten through high school levels, organized by mathematical content, and accompanied
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 Was Math Invented or Discovered?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about whether math was invented or discovered.
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 WatchKnowLearn  Community Foundation of Northwest Mississippi
Thousands of free online math educational videos, categorized into topics such as mathematics for young learners, number operations, math in the real world, precalculus, math study skills and test prep, and history of math.
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 Water Tidbits: Questions and Answers  U.S. Geological Survey (USGS)
Topics covered include: Water use in the United States, USGS water data and measurements; Water use in your home; Chemistry and water. Links to other sites about water.
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 WatsonMath.com  Elaine Watson
A repository for ideas and links that support Watson's work as a K12 mathematics consultant, such as spreading the word about the Common Core State Standards in Mathematics and how they can be implemented by classroom teachers. Posts, which date back
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 The Weather Calculator  National Weather Service, El Paso, TX
The El Paso National Weather Service Office's weather calculator provides temperature, moisture, pressure, and wind unit conversions for 16 different weatherrelated variables.
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 Weather Underground  University of Michigan
One Sky, Many Voices: resources for collaborative study of current weather events for K12 classrooms, afterschool groups, and athome learning. Gather data on weather information on the Web, current conditions around the world, historical weather patterns,
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 WebCalc  Blaine Hilton
A collection of free, Webbased calculators that solve complete equations. Many of the calculators allow the user to solve for any of the variables. Subjects include algebra, geometry, trigonometry, fractions, complex numbers, and miscellaneous math;
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 The Web Classroom  Eagle Eye Web Masters
An educational site from Australia that provides lessons and tests to help students understand concepts in Mathematics and build language skills in English. Elementary and Middle School math pages offer Fun with Fractions, "What Number," Times Tables,
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 WebCrawler
Search the WebCrawler contentsindexed database by keyword  the contents of documents are indexed, not just their titles and URLs. You may include both general and specific queries. Or browse categories: Arts & Books; Autos; Careers; Computers &
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 WebGL Chorded Polygons
Dynamically draws all chords of regular polygons up to 250 sides. Adjust the sliders to change the number of polygon vertices, to zoom in, and to pan around.
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 Web Hunt  Mary Gasch; Nerinx Hall, Webster Groves, MO
A Webbased hunt centering on nonEuropean mathematics, with links provided to the mathematical contributions of a variety of cultures. Students may submit answers to their own teachers via an onsite form.
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 WebMath: Instant Solutions to Math Problems
Instant solutions to math problems: look over the various links on the home page until you find a topic that seems to describe the math problem you're working on. Select a link then another and you will be presented with a blank form into which you can
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 Web Maths  Serge Henry
Un site pour les mathématiques scolaires, utilizant le multimédia (Flash) pour apprendre et comprendre les maths. Aussi, un forum pour poser des questions; l'aide en ligne.
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 Web of Primes  Ryan Ingram
The first twenty billion prime numbers, indexed, searchable by ordinal position, and written out in English. See also Ingram's http://cpnumbers.com/, for the first one hundred million counting numbers factored.
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 Web of Stories
Watch life stories of "people who have influenced and changed our world," such as Nobel laureates and eminent scientists  or record your own stories. Video biographies available through the Web of Stories' flagship channel "Lives" include mathematician
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 The Web Page Dedicated to Pi  Paul Johns
Information on pi, 120,000 digits of pi, pi jokes and poems, a pi club, message board, facts and records, links to other pi sites, and more.
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 WebTeacher  National Cable Television Association, Tech Corps
A selfpaced free internet tutorial designed for teachers and including both basic and indepth information about the World Wide Web. Email, Telnet, FTP, searching, web page design, image files, sound files, movie files, news groups, chat groups, teleconferencing,
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 Web Worksheet Wizard  High Plains Regional Technology in Education Consortium (HPRTEC)
Create a lesson, worksheet or class page on the World Wide Web with this webbased utility. Also, locate existing worksheets by keywords, dates, grade levels, or subjects such as math. Hosted by Advanced Learning Technologies in Education Consortia at
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 Weekend Projects—Picnic Geometry  Make Podcast
This video shows how to build an icosahedron out of paper plates, cups, or plastic sheeting—and pack some geometry into your next picnic! MAKE's accompanying post provides stepbystep instructions for assembling icosahedra from picnic supplies.
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 Weighing a Counterfeit Coin  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about using a balance beam to find a counterfeit coin, such as "If there are twelve coins in a bag, one of which is either lighter or heavier than the others, find the fake coin in exactly 3 weighings and determine
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 Weighing the Evidence  Keith Devlin (Devlin's Angle)
Hundreds of thousands of years of evolution have equipped us with many useful mental abilities  our instinct to avoid many dangerous situations and our use of language are two obvious examples. However, evolution has not equipped us to handle statistical
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 Weighted Averages  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about weighted averages, where some data have greater value than others, such as determining a final grade from three tests worth a total of 45% of the final grade, a final exam worth 25%, a project worth 15%, and three
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 Weights and Measures  National Institute of Standards and Technology (NIST)
A virtual museum exhibit examining the role of the United States government in the development and standardization of weights and measures, in eight sections: America before standard weights and measures; Ferdinand Rudolph Hassler; The Office of Weights
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 Weird Dice (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
In the dice game Piggy, you and your opponent take turns rolling a pair of ordinary dice. Your score is the sum of the face values of the dice, so if you roll a three and a four, you get seven points. The first player to reach 100 points wins. Suppose
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 Welcome to Steve's Blog  Steven Rasmussen
Blog of Steve Rasmussen, the CEO and President of KCP Technologies, between 20072008. Ideas, commentary, photos, and "adventures relating to mathematics education" included Rejuvenating the Mathematics Education Profession; Welcome to My Taxi Diaries
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 West Contra Costa Unified School District Mathematics Center  Kennedy High School
Common Core mathematics resources, presentations, instructional videos, lessons, mathematics applets, parent guides, and other materials developed by the Richmond (California) school district.
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 The Western Reserve Reading Project  The Ohio State University
With over four hundred pairs of twins participating in annual data collection sessions over the past ten years, the Western Reserve Reading Project (WRRP) explores how the environment affects children's ability to learn "by evaluating how genes and environmental
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 WGCUTV: The Faculty Lounge  SW Florida Public TV, Ft. Meyers/Naples, FL
Tools to help use the Internet in the classroom. Annotated lists of links: topics include: Copyright and the WWW; Distance Learning; Financial Aid and Scholarships; FTP; Gopher; Grants; Job Hunting on the Internet; Magazines, Newspapers, and 'Zines OnLine;
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 What2Learn  John Rutherford
For free, a range of fun, interactive games and puzzles. Math topics covered include algebra, times tables, fractions, decimals, percentages, ratios and probability. Feebased service includes more activities, the option for teachers to add their own
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 What Color Is My Hat?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about which person wears which hat, such as "Three students close their eyes, and the teacher puts a hat on each of their heads (hiding the other two hats)...."
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 What do we know about mathematics curricula?  Alan Schoenfeld, Journal of Mathematical Behavior
In the absence of either largescale empirical proof of success or the existence of compelling and documentable standards, there is reason to be cautious. The traditionalists are nervous for good reason. It should be noted, however, that the resistance
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