 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 Using Virtual Manipulatives on the Web to Develop Number Sense  Margo Lynn Mankus
Java applets, activities, handmade manipulatives, and links related to the topic.
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 U.S. Metric Association (USMA), Inc.  Don Hillger; Colorado State University
A national nonprofit organization that advocates U.S. conversion to the International System of Units, which goes by the abbreviation SI, also called the modern metric system. The process of changing our system of units to the metric system is called
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 U.S. Olympic PBS Cyber School  IBM
Built around the 1998 Olympics in Nagano, Japan, the PBS Cyber School uses downhill skiing, snowboarding, and figureskating to offer problemsolving challenges for middle school students, who are invited to build their own site using the IBM HomePage
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 The U.S. Shirts Problem (PUMP Algebra Project)  Bill Hadley
When PATEOH Furniture Inc. went out of business, you were able to get another job at U. S. Shirts, a custom Tee shirt shop that prints shirts for customers. You job is to calculate costs for the various orders. For each order, U.S. Shirts charges $8
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 Utah Elementary Mathematics  David A. Smith
Blog of conceptual frameworks and other classroom resources for Utah educators implementing the Utah Core State Standards. Smith, the Elementary Mathematics Specialist at the Utah State Office of Education (USOE), has posted since October, 2013; and also
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 Utilizing the Graphing Calculator in the Secondary Math and Science Classroom  Region IV Education Service Center, Houston, Texas
Stepbystep Flash illustrations on the use of Texas Instruments' TI83+ graphing calculators and data collection devices such as the calculator based ranger (CBR), Graphlink, and calculator based laboratory (CBL).
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 Vagn Lundsgaard Hansen
A personal home page with links to: a mathematical story "I am the greatest," solving and proving/explaining the isoperimetric problem for quadrilaterals; Mathematics and the Public  some experiences with the popularization of mathematics; and Mathematics
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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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 VA Mathematics Standards of Learning  Virginia Department of Education
Standards for Virginia Public Schools, adopted 2009. The Standards of Learning for Mathematics identify the mathematics content that teachers in Virginia are expected to teach and students are expected to learn. Standards are identified for kindergarten
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 Vancouver Math Tutor  Vlad
Tutoring services for the Vancouver, B.C. (Canada) area; articles on tutoring; and algebra and probability materials used in tutoring.
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 vectorkids: math flashards and learning tools  Rick Larson, vectorkids.com
This site is dedicated to providing learning tools for elementary and middle school students. Enjoy math flashcards to strengthen basic skills, increase proficiency, and increase test scores. Subjects include geometry, fractions, divisibility rules,
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 VedicMaths.Org  Clive Middleton, Kenneth Williams, and Mark Gaskell
Learn about the ancient system of mathematics of the Vedas through interactive tutorials, research and teaching articles, recommended books and websites, a list of sutras translated from the original Sanskrit, a calendar of events, newsletter, and references
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 Veewo  Veewo Game
Makers of puzzle game apps 1024, Just Get 10, Math Freak, and more.
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 Ventura Educational Systems
An online store offering product information on GraphPower, Geometry Toolkit, Probability Toolkit, Balancing Act, HandsOn Math Vols. 1, 2, and 3, Puzzle Logic, Algebra Concepts, Geometry Concepts, Coordinate Geometry, and more. The site provides links
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 The Verbal Math Lesson  Michael Levin, Charan Langton
Books for teaching math topics verbally through word problemsno worksheets, no writing. The approach is intended to be fun for children and to develop mental short cuts.
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 Vernier Software  Vernier Software
Products and services for classroom data collection. CalculatorBased Laboratory System (CBL) products, such as motion detectors, accelerometers, colorimeters, radiation monitors, and other sensors and curricular materials, allow students to collect and
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 Videodiscovery
A publisher and distributor of innovative multimedia products for educators and families. Laserdiscs and CDROMs for the K12 and college market. Product offerings now include laserdiscs with accompanying software, as well as CDROMs for both the school
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 The Video Math Tutor  Luis Anthony Ast
The Video Math Tutor web site provides students from 7th grade through college with free and premium ($$$) math videos and printable notes created by a tutor with 23 years of tutoring experience. Topics covered include arithmetic and algebra. TI84 graphing
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 Videos for the Curious Mind  TMW Media Group
A catalog of educational videos, with teacher guides, to supplement classroom, home, or independent study. Tapes include Algebra Tutor, Geography, Understanding Science, the Tell Me Why Children's Video Encyclopedia series based on the books by Arkady
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 VidéoMaths  Sylvain Maniez
Vidéos gratuites d'exercices de maths. Inscriptez pour rajouter des vidéos favoris et poster des commentaires sur les vidéos.
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 A View from the Back of the Envelope  Mitchell N. Charity
Pages about approximation. Counting by powers of ten includes the "what order of magnitude is ...?" game, illustrated instructions for counting to ten billion on your fingers, and lots of dots  a million dots on one page, and a dot for every second
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 Views from Flatland (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
What do you think the world would look like if you and everything in it were squished flatter than a pancake? Like shadows, you and your friends would freely flit about the surface. But if you couldn't rise above or below the surface, objects with any
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 Views of the Solar System  Calvin J. Hamilton
A multimedia exploration of the Sun, planets, moons, comets, asteroids, meteorites, and more. Study the latest scientific information or the history of space exploration, rocketry, early astronauts, space missions, and spacecraft through an archive of
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 Vi Hart  Vi Hart
Blog, videos of math "doodling," instructions for slicing food mathematically, and more from the selfdescribed recreational mathemusician who considers math a hobby, with "special interests in symmetry, polyhedra, and surreal complexity. This usually
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 Villainy, Inc.: Thwarting World Supremacy through Mathematics  Maryland Public Television
To thwart the evil Dr. Wick, ID, middle grade students take on the role of an advisor to his company, Villainy, Inc.  while secretly using their math skills to make sure Wick never succeeds. As undercover double agents for the AntiVillainy Unit (the
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 A Viral Dilemma  Ivars Peterson (MathTrek)
An article that discusses how, in effect, a virus is caught up in a version of the prisoners' dilemma, a widely studied game in which acting for individual advantage clashes with acting for the collective benefit. Game theorists devised the prisoners'
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 The Virtual Math Lab  Kim Peppard and Jennifer Puckett, West Texas A&M University (WTAMU)
Online tutorials for beginning, intermediate, and college students of basic and linear algebra, or for those preparing for the math part of the Texas Academic Skills Program (TASP) test. Every tutorial has definitions, formulas, illustrations, and stepbystep
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 The Virtual Math Teacher  Russell Byer; AD Oliver Middle School, Brockport, NY
A reference site for middle school mathematics teachers, parents, and
students. The site provides monthly puzzles (and past puzzles, without solutions), suggestions for projects (real world math, math and economics, math and science, math and business,
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 Virtual Nerd  Virtual Nerd, LLC
This online tutorial service for secondary math and science students supplements its video instruction with the interactive Dynamic Whiteboard™, which takes notes for you during lessons, and lets you find definitions of terms midstream and write
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 Virtual Paper Cut & Fold  Mike Sokolov
A Java applet and a Flash tool for folding paper online. Make snowflake patterns; learn how to create a fivepointed star with a single cut. With a gallery of folded paper creations.
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 Virtual Polyhedra  George W. Hart
A growing collection of over 1000 virtual reality polyhedra to explore, complementing Hart's Pavilion of Polyhedreality. Includes instructions for building paper models of polyhedra including modular origami, with ideas for classroom use. Each of the
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 Visiting Artlandia  Ivars Peterson (MathTrek)
Have you ever admired any of the bold, colorful designs splashed across a variety of fabrics used for scarves, neckties, shirts, and other apparel? There's a chance that you may come across the work of a physicist. Igor Bakshee got into fabric design
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 Visual Fractions  Richard E. Rand
A site with 19 Java programs that provide instruction and practice in identifying, renaming, adding, subtracting, multiplying, and dividing fractions. Number lines are drawn to demonstrate each example. Programs include: Identify Fractions; Identify Mixed
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 Visualizing An Infinite Series  Cynthia Lanius
This lesson uses a trapezoid successively divided in 4ths as a visual representation of an infinite geometric series, a mathematical concept that is often only treated symbolically. Explorations are outlined for investigating a number of series, and links
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 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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