 TRIUMPHS
TRansforming Instruction in Undergraduate Mathematics via Primary Historical Sources (TRIUMPHS) creates freely downloadable materials for use in the undergraduate mathematics classroom which teaches content based around original mathematical sources such
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 The Tunnel of Samos  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. This video describes a remarkable engineering work of ancient times: excavating a onekilometer tunnel
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 Turn of the Screw  Ivars Peterson (MathTrek)
Mathematician Chris Rorres of Drexel University in Philadelphia has taken a close look at Vitruvius's specifications for constructing an Archimedes screw... Recent years have seen a revival of interest in the Archimedes screw, particularly for its proven,
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 Tversky's Legacy Revisited  Keith Devlin (Devlin's Angle)
"Amos Tversky died earlier this year. To mathematicians, the Stanfordbased psychologist is best known for the research he did with his colleague Daniel Kahneman in the early 1970s, into the way people judge probabilities and estimate likely outcomes
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 Uncle Kenny's Mathematics Pronunciation Guide  Kent Kromarek
Billed as a "megametamathematical guide for proper American English
pronunciation of terms and names, for the diacritally challenged," this guide
includes many mathematicians and mathematical terms encountered in high school
and the first two years
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 Undusting Napier's Bones  Alexandros Diploudis; HeriotWatt University, UK
Biographical information about the Scottish mathematician John Napier, generally considered the inventor of logarithms, with a Java simulation of Napier's bones, a method for performing arithmetic operations by the manipulation of rods (called "bones"
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 The United States and the Metric System  Office of Information Services, National Institute of Standards and Technology (NIST)
A capsule history, with questions and answers, a metric chocolate chip cookie recipe, and some sample size relations (kilogram of butter to pound, etc.).
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 The Universe of Discourse  Mark Dominus
Blog by the perl programmer who authored the book HigherOrder Perl and columns for The Perl Journal. Posts, which date back to November, 2005, have included "Fibonaccilike sequences," "More Liber Abaci," "The 3n+1 domain," "Biblical infallibility and
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 Vedic Mathematics  Rahul Bhangale
Shortcut techniques to perform arithmetic operations quickly and simply: multiplication, including Nikhilam, Anurupyena, Urdhva Tiryak, Ekayunena Purvena, and Antyaordasake'pi; squaring, such as Dvanda Yoga, Yavadunam, and Ekadhikena Purvena; Paravartya,
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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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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 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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 A visit to James Clerk Maxwell's House  MacTutor Math History Archives
Linked essay outlining the life and work of Edinburghborn mathematician James Clerk Maxwell, with an outline of his childhood, pictures of his home, some mathematical poetry, and references (books/articles).
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 Waring Experiments  Ivars Peterson (MathLand)
You might suspect that, at some point, four squares would no longer be enough to express a given whole number. This reasonable supposition was overturned in seventeenth century, when Pierre de Fermat proved that every positive whole number can be expressed
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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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 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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 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 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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 Who was Marin Mersenne?  Luther Welsh
It was not until the mid 20th century that Mersenne became known primarily for his Prime Number Conjecture. Historically, he was much better known for his correspondence with leading scientists of the day. Interested in optics, he also been called the
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 Why 2001 Won't Be 2001  Keith Devlin (Devlin's Angle)
"It's a good story... But how realistic is the behavior of HAL? We don't yet have computers capable of genuinely independent thought, nor do we have computers we can converse with using ordinary language. True, there have been admirable advances in systems
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 Why Does BacktoSchool Imply Back to Math?  Keith Devlin (Devlin's Angle)
...in a world where everyone can afford a pocket calculator and a great many people seem to be successful in life with little or no mathematical ability or knowledge of science, why do we place so much emphasis on math and science?
Whatever the answer,
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 Wireless Philosophy
Free videos on the practice of philosophy — teaching viewers how to develop critical thinking skills and do philosophy, rather than simply learn what philosophers have thought. See, in particular, Wi Phi's categories of videos on the philosophy
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 wNetSchool
A resource for K12 teachers, with some information for adult education teachers (i.e., the GED exam). Subscribing to the site is free, but one may also enter without subscribing. wNetSchool provides lesson plans centered around the Internet or educational
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 Women and Mathematics Network (WAM)  Committee for the Participation of Women, Mathematical Association of America (MAA)
A consortium of Program Directors of outreach programs in mathematics for women and girls, providing professional development opportunities for program directors; forums for sharing ideas and expertise; workshops and forums for prospective directors of
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 Women in Math Project  Marie Vitulli; Department of Mathematics, University of Oregon
Information on all aspects of women and math, including bibliographies of publications (with a search engine), an extensive collection of biographies, links to associations, job, grant, and scholarship opportunities, conferences, workshops and programs,
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 Women of NASA  Tish Krieg, National Aeronautics and Space Administration
The Women of NASA resource was developed to encourage more young women to pursue careers in math, science, and technology. The project showcases outstanding women who are enjoying successful careers, and demonstrates how these women balance personal and
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 Wonders of Ancient Greek Mathematics  Timothy Reluga; Tufts University
An arbitrary collection of interesting solutions to geometric problems discovered and solved by the Greeks, limited to intuitive, elegant, or beautiful solutions and some that do not meet these requirements, serving as reminders of the level to which
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 World of Escher  World of Escher, Inc.
The world of M. C. Escher (18981972), the famous Dutch graphic artist most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and his incredible techniques in woodcutting and lithography. This site offers
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 XNumber World  James Redin
With the Extended Numerical Keyboards with Structured DataEntry Capability method, enter a number in the same way as you think on the number; for example, input one million and fiftyseven with the four keystrokes 1, million, 5, and 7, in that order.
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 Yahooligans! School Bell: Math  Yahoo
Yahoo's kids' guide to math sites including topics: Games and Puzzles, Geometry, Homework Help, Just the Facts, Mathematicians, Measurements, and Real World Math.
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 Yahoo! Science: Mathematics: History  Yahoo! Inc.
Searchable math history links: Mathematicians, Pi, and miscellaneous links.
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 Your Mathematics Society  ChatArea.com
A chat area/forum for all mathematics questions. General mathematics, algebra, calculus, geometry/trigonometry, statistics, calculators, and history of mathematics are covered.
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 Zeno's Paradoxes  Franz Kiekeben
Statements of the following paradoxes: The Racetrack (or Dichotomy); Achilles and the Tortoise; The Arrow; A brief analysis of the motion paradoxes; The Thomson Lamp; Kiekeben's Odd/Even Paradox; Benardete's Paradox of the Gods;
The Paradox of the Spaceship;
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 Zentralblatt MATH Database  SpringerVerlag
A database edited by the European Mathematical Society, the FIZ Karlsruhe, and the Heidelberg Academy of Sciences, and established in cooperation with Math Doc Cell (France). Search for abstracts of papers on any math subject by author, title, classification,
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 Zero in Four Dimensions: Cultural, Historical, Mathematical, and Psychological Perspectives  Prof. Hossein Arsham; University of Baltimore
A critical panoramic view of basic mathematical fallacies surrounding zero, such as dividing by zero, taking the limit, IEEE special floating point, the notion of zero throughout history, when zero is "not there," the origin of infinity and its symbol,
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 Zeroing In on Catalan's Conjecture  Ivars Peterson (MathTrek)
Preda Mihailescu of the Swiss Federal Institute of Technology in Zurich has
proved a theorem that is likely to lead to a solution of Catalan's conjecture, a
venerable problem involving relationships among whole numbers (in 1844, Catalan asserted that,
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 ZetaTrek  Rohit Gupta
An "online expedition of science and math hobbyists across the world," ZetaTrek mobilizes citizen scientists to promote the history and culture of mathematics, and involves them in research, with particular emphasis on solving the Riemann Hypothesis.
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