 weed's fractal gallery
A small gallery of fractal images and a few fractal links.
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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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 Weight Puzzles  Erich's Puzzle Palace; Erich Friedman
Sixteen puzzles involving weights on fulcra. Can you figure out how much each weight weighs? Answers provided.
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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 PERTH: PEerless on EaRTH  Dave Watson
Dave Watson's main interest is computational geometry, and he specializes in spatial interpolation. Books/software on Contouring (a survey of published bivariate contouring and interpolation methods), Tessellations, Spherical Tessellations, Isolines,
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 Welcome to Steve's Blog  Steven Rasmussen
"Advocate for Change" Steve Rasmussen, the CEO and President of KCP Technologies, keeps this blog, which he describes as his "ideas, commentary, photos, and adventures relating to mathematics education." Topics include: Rejuvenating the Mathematics Education
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 Welcome to the World of Petri Nets  CPN Group, University of Aarhus, Denmark
Petri Nets is a formal and graphical language which is appropriate for modeling complex systems with concurrency. It has nothing to do with network communication but has proven useful for describing, analysing, and verifying protocols typically used in
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 Welcome to WebDice! (MSTE)  Nicholas Exner; University of Illinois at UrbanaChampaign (UIUC)
A Java applet that simulates the rolling of a set of dice. Use the pulldown menus to set the parameters for the trial.
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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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 Westerville South Math Raps  Schultz, Dave; and Winner, Tyler
"Mixing math with music, helping students learn": mathematical parodies of pop songs include Graph! (Yeah! by Usher); Solve Me Maybe (Call Me Maybe by Carly Rae Jepson); All I Do Is Solve (All I Do Is Win by DJ Khaled); Super Base (Super Bass by Nicki
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 The West Point Bridge Design Contest  United States Military Academy, West Point, New York
A challenge for U.S. students age 13 through grade 12. The purpose of the contest is to provide middle school and high school students with a realistic, engaging introduction to engineering. Learn about how engineers use the computer as a problemsolving
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 We Use Math  BYU Mathematics Department
From actuary to urban planner, read short descriptions of the scores of careers that use math  or log in to submit your own career entry. Each occupation's writeup includes its salary range, educational background, the specific math courses it requires,
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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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 A Whale of a Tale  Dive into Math  INNOVA Multimedia Ltd.
Three online math lessons (Addition, Super Sea Sets, Symmetry) for ages 59, from INNOVA Multimedia's "A Whale of a Tale" series. Shockwave (required) activities offer ways for children to visualize and manipulate concepts.
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 Whales: A Thematic Web Unit  Kimberlye P. Joyce, Curry School
A thematic unit for cooperative learning across the K5 integrated curriculum; an interactive resource for teachers, students and parents. Teacher Resources (Bibliography, Book Reviews, Glossary, Homework Suggestions); Student Activities (Whale Research,
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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 Affects Women's Decisions to Pursue Graduate Degrees in Mathematics?  Kathleen L. Bonn
A presentation summary given at the AMS/MAA Joint Mathematics Meetings, January 1013, 1996, in Orlando, Florida.
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 What are Fractals?
A short description of fractals, with illustrations.
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 What Can Mathematics Do For The Businessperson?  Keith Devlin (Devlin's Angle)
In business, the ability to dig beneath the surface of a problem to see what
the real underlying issues are, and the capacity for clear and logical thought, can be extremely valuable. And learning mathematics provides an excellent way to develop that
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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 Does It Take to Be an Expert Problem Solver?  Annie and John Selden; Mathematical Association of America
Organized into five sections: ExpertNovice Studies Have Often Concentrated
on Textbook Problems; Solving Nonroutine Problems; Are Mathematicians Expert Problem Solvers? How Might One Teach Problem Solving? and The Importance of Affect. From the MAA's
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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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 What Good is Math?  Peck, Rosser, Pifer; University of Richmond
A site designed to show middle school students how math is useful. Examples are drawn from everyday experience; topics include art, finance, grades, sports, planning a party or a trip, and cooking. Created by preservice math teachers.
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 What, How, and the Web  Cut the Knot!, Alexander Bogomolny
More on place value. "There is an obvious confusion there between two questions, what to teach and how to teach it. Does the failure of the New Math to present a specific topic necessarily imply that teaching this topic has no merit? The New Math has
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 What If...  Clare Williams, Deputy Head; Four Dwellings Infant School, Birmingham, U.K.
Some Mathematical Challenges for Key Stage One: part of the Year of Numeracy sponsored by the Birmingham City Council's Education Department. Questions posed such as: 1. What if you started writing numbers at 1… What is the biggest number you could get
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 What is 1+1?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about what 1+1 is in decimal and binary, how to prove it with Peanos Postulates, as well as a false proof that 1 + 1 = 1.
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 What is a Fractal?  Alan Beck; Glyphs
The word "fractal" was coined less than twenty years ago by Benoit Mandelbrot, whose work, The Fractal Geometry of Nature, first introduced and explained concepts underlying this new vision. Mandelbrot derived the term "fractal" from the Latin verb frangere,
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 What is a Fractal?  Sarah Seastone, Math Forum
A short description (with illustrations of the Mandelbrot Set) of fractals, paraphrased from Chapter 1, "A Mathematical and Historical Tour," of Robert Devaney's book, A First Course in Chaotic Dynamic Systems.
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 What is Chaos?  Matthew A. Trump; University of Texas at Austin
An interactive online physics course for everyone: a 5part nontechnical introduction to physics and chaotic motion in classical and quantum mechanics. Contents include: The Philosophy of Determinism (every cause has a unique effect, and vice versa);
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 What is Combinatorics? What is Optimization?  Dept. of Combinatorics and Optimization, Univ. of Waterloo, Ontario, Canada.
A brief description of combinatorics, the mathematics of discretely structured problems. This field includes graph theory, enumeration, designs and polyhedra. In particular, this study is indispensable to computer science. Programs offered by the Dept.
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 whatis?com  Glossary of Internet Terms
An annotated glossary of Internet terminology, from abacus, aliasing, Altavista, and avator to zcoordinates and zipping. Also The Top Twenty (last week's most frequently consulted words); Books you like; phone numbers; and Every file format in the world,
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 What is Go?  Mindy McAdams
An introducation to the 4,000 year old Chinese board game called Go in Japan, Baduk in Korea, and Weichi in China. Teaching materials and links to many of the most popular Go websites are included. Contents: brief history of the game; professional players,
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 What is Mathematics: Goedel's Theorem and Around  Karlis Podnieks
An extended translation of Podnieks' book, published in 1992 in Russian. Contents include: Platonism, intuition and the nature of mathematics; Axiomatic set theory; First order arithmetic; Hilbert's Tenth problem; Incompleteness theorems; Around Goedel's
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 What Is Mathematics?  John M. Lawler, Dept. of Linguistics, Univ. of Michigan
Listings of links on Godel, Escher, and Bach, and other material related to Hofstadter's book by that name, from a math appreciation course.
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 What is Mathematics?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about what mathematics is, such as "Is math a science, an art, or some other anomaly?" and "Is there a difference between arithmetic and mathematics, and what is it?" and "Is math a science or an art?"
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 What is Math?  Field Cady
Blog of "miniessays about the history and nature of math, and how it fits into the spectrum of human activity," by an applied mathematician and algorithm developer who specializes in statistics and "big data" analytics and statistical modeling. Posts,
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 What is Mod?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about modular arithmetic, including the method of casting out nines.
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 What Is Scientific Notation And How Is It Used?  R. H. Logan, Instructor of Chemistry, El Centro College
A scientific notation lesson that explains how to use scientific notation for: Numbers Greater Than 10; Numbers Less Than One; Numbers between 1 and 10; Division of Exponentially Notated Numbers; Addition and Subtraction Using Exponential Notation. Includes
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 What is the best way to lace your shoes?  Burkard Polster, Nature
"The two most popular ways to lace shoes have historically been to use 'crisscross' or 'straight' lacing  but are these the most efficient? Here we demonstrate mathematically that the shortest lacing is neither of these, but instead is a rarely used
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 What Is the Collaborative Classroom? (NCREL)  M.B. Tinzmann, B.F. Jones, T.F. Fennimore, J. Bakker, C. Fine, and J. Pierce
New learning and thinking curricula require collaboration. An article that addresses shared knowledge and authority among teachers and students; teachers as mediators; heterogeneous groupings of students; teacher and student roles; interactions; challenges
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 What Is Your Answer to That Question?  Cut the Knot!, Alexander Bogomolny, with Don Greenwell
The question  Why study mathematics?  appears in a multitude of guises and a plethora of variants... Mathematics is often compared to art. Like literature, mathematics has metaphor, ambiguity, paradox, and mystery. It has history. Mathematics has contributed
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 What kind of math? Photo Challenge  Kathryn Mann
Pictures of math graduate students with wordbubbles showing "the kind of math that's right" for them. Submit your own group snapshots and subfields. Inspired by an observation that a flyer from the American Mathematical Society (AMS) reinforced sexist
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 What Moves U Campaign  American Heart Association; National Football League (NFL)
A national campaign to inspire middle school students to become more physically active. What Moves U provides curriculumbased activity sheets that can be incorporated into lesson plans for 5 core subjects: math, science, social studies, language arts,
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 What on Earth is a Logarithm?  Peter Alfeld, University of Utah
An understandingbased approach to powers and logarithms, with a link to a special example: how to convert a logarithm with respect to one base to a logarithm with respect to another base; and a Java applet logarithm calculator.
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 What's Going On During Mathematics Awareness Month  Keith Devlin (Devlin's Angle)
"This year's theme is mathematics and biology. Two important examples of how mathematics is used in biology are: in developing computer models of the human heart, which are helping us to understand how the heart works and, more importantly, how it goes
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