 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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 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 My Area? (SMILE)  Karen L. Mickel, William Carter Elementary School
An elementary lesson designed to teach students to cover an area with uniform tiles and count the number of tiles needed; recognize rectangles, triangles and squares; and review basic colors. From the Geometry and Measurement section of a collection of
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 What's New at the Zoo?  Suzanne Slade, Joan Waites (ill.)
A picture book featuring counting and animal facts. Book available in hardcover, paperback, and eBook. Free educational resources on the Sylvan Dell website include Teaching Activities, Math/Reading Comprehension Quizzes, Related Website Links, and English
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 What's New  Terence Tao, UCLA
Updates on Tao's research and expository papers, discussion of open problems, and other mathsrelated topics. Blog posts, which date to February, 2007, have included "Riemannian manifolds and curvature" and "Sailing into the wind, or faster than the wind"
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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 Sophisticated about Elementary Mathematics?  HungHsi Wu
"The characteristics of coherence, precision, and reasoning are not just niceties; they are a prerequisite to making school mathematics learnable." In this American Educator article originally published Fall, 2009, the author goes on to unpack whole number
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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 Heck are Logarithms?  William Park
A paper designed to help college freshmen develop an intuitive understanding of what logarithms are and how to use them. Problems to be worked without using a calculator.
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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 Will Be the Effect of a Standardsbased Education on College Students?  Judith Roitman
This article, by Judith Roitman of the University of Kansas, appeared in the April 1995 FOCUS, the newsletter of the MAA. Among other things, Roitman discusses the need for dialog between K12 teachers and their college counterparts, and difficulties
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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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