 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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 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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 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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 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, 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 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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 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?  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 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 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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 What Should I Look For in a Math Classroom?  Mathematical Sciences Education Board (MSEB)
A set of practical guidelines, with explanations of their relevance. From the Mathematical Sciences Education Board of the National Research Council.
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 What's Noteworthy on Learners, Learning & Schooling  Midcontinent Regional Educational Laboratory (McREL)
"The major challenges for educational reform today are putting the pieces together to create sustainable systemic change and scaling up systemic reform to encompass all schools, all programmatic areas, all levels of schooling and diverse social contexts."
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 What's Special About This Number?  Erich's Puzzle Palace; Erich Friedman
A list of the integers from zero to 9,999, each annotated with one significant mathematical property and colorcoordinated by that property's category.
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 What's the City Mileage of a Typical American Car? (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
Analyze the data and find an average for the mileages of American cars. A
problem like this can sometimes involve difficult and timeconsuming statistical analyses, but in this lesson you will explore a method of analysis called the bootstrap that will
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 What's the Problem? Geometry & Art through the Ages  Indianapolis Museum of Art
An exhibit exploring how some artists have used geometry as a creative tool. The site is divided into three topics: lines, polygons, and volume. Also provided as links from the left sidebar are a glossary and a list of references for further reading.
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 what's your favourite number?  Alex Bellos
Enter your favorite number and the reasons for your choice. Part of a research project concerning how humans relate to numbers, this international survey is being conducted by Alex Bellos, author of Alex's Adventures in Numberland and Here's Looking At
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 What the Media Look for in a Math Story  Kathleen Holmay
A summary of comments by Shirish Date, Reporter, Orlando Sentinel; Samantha Eaddy, Public Information Officer, U. of Central Florida; and Keith Devlin, Saint Mary's College, Moraga, CA. A discussion organized by Richard H. Herman and Kathleen Holmay of
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 What Work Requires of Schools  Secretary's Commission on Achieving Necessary Skills (SCANS)
The Secretary's Commission on Achieving Necessary Skills (SCANS) was asked to examine the demands of the workplace and whether today's young people are capable of meeting those demands as they enter employment. In carrying out this charge, the Commission
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 What Works Better than Traditional Math Instruction  Alfie Kohn
Chapter 9 from Kohn's 1999 book The Schools Our Children Deserve contains the subsections "Why the Basics Just Don’t Add Up," "Math Worth Doing," and "Inventing Facts," as well as an appendix entitled "The Hard Evidence: Math Results."
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 What Works Clearinghouse
Reviews of the effectiveness of educational intervention programs, products, practices, and policies. Among other curricula, the WWC has reviewed studies of the Middle School Math Curricula interventions Cognitive Tutor, Compass Learning, Connected Mathematics
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 Wheeler's Thoughts on Teaching  Laura Wheeler
Blog by a Canadian high school teacher in Ottawa, Ontario. Posts, which date back to October, 2012, have included "Assessment & Evaluation in the OCDSB"; "BYOD Classroom Management"; "Quadratic Visual Patterns #3actmath #MFM2P with Linking Cubes"; "When
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 When Am I Going to Use This?  Column Five Media
This graphic plots popular career choices on axes of "number of math concepts" and "median average salary" to illustrate the basic math, algebra, geometry, or trigonometry required of athletes, cosmetologists, carpenters, pilots, psychologists, lawyers,
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 When mathematics has to be theater  Keith Devlin (Devlin's Angle)
A mathematician's entry into the world of commercial multimedia  the creation of an interactive calculus textbook on CDROM.
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 When mathematics is plain sailing  Keith Devlin (Devlin's Angle)
In the ocean waters off New Zealand, an intense mathematical olympiad has just begun: The America's Cup  a yacht race, the premier international event in
ocean sailing. Competition is fierce. The technical challenges are enormous. And the costs are
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 When Math Happens  Dane Ehlert
A Texas high school teacher's blog of 3 Act Math, estimation, and other lessons, each with alignments to the Common Core and TEKS. Posts, which date back to May, 2012, have included "How To Praise Students," "Exponential Functions ReEngage," "Paul Sturgess,"
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