 Curving Beyond Fermat  Ivars Peterson (MathTrek)
"When Andrew Wiles of Princeton University proved Fermat's last theorem several years ago, he took advantage of recently discovered links between Pierre de Fermat's centuriesold conjecture concerning whole numbers and the theory of socalled elliptic
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 Cutting Corners  Ivars Peterson (MathLand)
Go to just about any college campus or public park and you're bound to see two kinds of trails: "official" paths defined by paved or gravel surfaces and "unofficial" routes trodden into the grass or dirt marking where pedestrians have preferred to walk
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 The Cutting Sticks Problem  Frans Faase
A classic math puzzle: You are given k sticks with integer length of which the total length of sums up to n(n+1)/2. None of the sticks is shorter than n. Can you always cut them into sticks with length 1, 2, up to n, no matter the number of the sticks
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 Cybernetics and Systems Theory  F. Heylighen; Principia Cybernetica Web
General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy
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 Cyberspace and the Classroom  SageNet
A June 1998 article collecting individual teacher and parent views of the effects of technology in the classroom, the best ways to use technology, and some favorite sites to visit in pursuit of education.
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 Dancing Chaos  Ivars Peterson (MathTrek)
Music, dance, and chaos... The image on the computer screen resembles a delicate, stylized butterfly with translucent wings held lazily askew. It's called the Lorenz attractor, named for meteorologist Edward N. Lorenz of MIT, who in 1963 discovered this
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 Daniel Bump
A mathematics professor researching automorphic forms, representation theory, and number theory at Stanford University. Read the errata for his book Automorphic Forms and Representations, notes on the Riemann zeta function and possible proofs of the
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 Daniel J. Velleman  Daniel J. Velleman, Department of Mathematics and Computer Science, Amherst College
In addition to Velleman's selected papers, link to his books, software, and unpublished papers, including Proof Designer, a Java applet designed to help students learn to write proofs in elementary set theory by outlining the steps of proofs under the
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 Daniel Lemire's homepage  Daniel Lemire
Daniel Lemire is a researcher in wavelet theory, data thinning and subdivision schemes. Recently, he has been interested in applications of these mathematical tools to ebusiness and data mining. Site contains papers (downloadable, PDF format), software
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 Daniel Willingham
From the author of Why Don't Students Like School? and When Can You Trust the Experts? (subtitled: "How to tell good science from bad in education"). See, in particular, Willingham's articles, such as "Why transfer is hard," "Why students remember or
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 Dan Kennedy  Dan Kennedy, Baylor School
Essays by Kennedy, the first high school teacher ever to chair the Advanced Placement Calculus Development Committee, include his article "The Princess and the AP: A Calculus Fairy Tale" and his 1998 address to the National Council of Teachers of Mathematics,
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 The Data Archive  University of Essex, ESRC, JISC, UK
A United Kingdom collection of social sciences and humanities data and statistics. Search for articles and data sets and order the appropriate item, or link to sources of information online. The Data Archive Bulletin may be downloaded in Word format.
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 Dave Donoho  Statistics Dept., Stanford University
Recent lectures ("Beyond Wavelets: A Case Study"); links to software and software the author has written or cowritten.
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 Dave's Mathematics, Education, Philosophy and Chreods Server  Dave Wilson
Searchable math and mathematics education resources: an archive of preservice teachers' essays, the Teaching and Learning Enquiry Group, Chreods, a journal covering math education, and other writings.
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 David Bruce Wilson
David Bruce Wilson researches probability, combinatorics, and theoretical computer science. Abstracts of his articles on these subjects are available on the web and may be downloaded in PostScript or .dvi formats. Software available for download includes
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 David J. Wright  Mathematics Dept., Oklahoma State University
Wright's main field is number theory, particularly algebraic number theory and algebraic groups, with methods from functional analysis and analytic number theory. Papers: Observations of N. Katz on the finer distribution of Gauss sum angles and similar
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 David Marius Bressoud
David Bressoud has written several undergraduate textbooks that use physics and the history of mathematics to motivate the study of multivariable calculus, number theory, real analysis. Other books include A Course in Computational Number Theory and
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 David Royster's Home Page  Dept. of Mathematics, Univ. of North CarolinaCharlotte
Research and Scholarly Interests  Papers: Algebraic and Differential Topology; Use of Computer Algebra Systems in Mathematics Education. See also MAED 3103, a course for Secondary School mathematics teachers covering material drawn from Algebra I and
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 DavidsoftNet  David Strauss
A site that organizes and presents Texas Instruments (TI) calculator software and other resources on the Web in folders and categories, much like Yahoo. TI Calculator links are broken down into assembly coding sites, hardware sites, major sites, TI85
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 DavidZiskind.Org  David Ziskind
Articles discussing variational problems, ordinary differential equations, series reversion, least squares regression, quantifiers, extrema, internal rate of return, and other mathematical topics.
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 Dear Marilyn, About Leap Years (Math Chat)  Frank Morgan, MAA Online
Your explanation [in Parade Magazine] of September 13, 1998 that we may need to skip a leap year EVERY FEW THOUSAND YEARS because the tropical year (about 365.2422 days) is a bit shorter than the average calendar year (365.2425 days) neglects CHANGES
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 Decibels (Math Chat)  Frank Morgan, MAA Online
Challenge: The Christian Science Monitor of July 8, 1999, reports that "according to the NRDC, the amount of ambient noise in the ocean may have increased by 10 decibels  in other words, 10fold  between 1950 and 1975." Is this correct?
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 Decimals and Logarithms in the Works? And a Dyer's Hand too?  Penn Leary
Shakespeare, Decimals and Logarithms: What did Shakespeare know about mathematics, particularly logarithms and the decimal system? And when did he know it? An article partly from Leary's book, The Second Cryptographic Shakespeare.
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 Decision Making Information  Model Education Systems Associates: MESA, Inc.
MESA specializes in the development, implementation and use of decision support systems and related quantitative information resources, especially quantitative tools for research, evaluation and policy analysis directed toward children and their living
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 Decision Tree for Optimization Software  Hans D. Mittelmann, P. Spellucci
Information on optimization software and optimization research, including links to a dictionary, tutorials, testcases, interfaces, and software.
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 Deep in the Jungles  Ivars Peterson (MathTrek)
Humans are predisposed to seeing order and meaning in a world that too often presents random choices and chaotic evidence. Random events sometimes get linked into a meaningful, though ultimately bogus, scenario... At the same time, the mathematics of
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 Defending the Roman Empire  Ivars Peterson (MathTrek)
Questions of military strategy can be handled mathematically. Charles S. ReVelle of Johns Hopkins University in Baltimore and Kenneth E. Rosing, recently retired from Erasmus University Rotterdam, describe their approach in the AugustSeptember American
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 The Definitive Four Fours Answer Key  David A. Wheeler
From 0 up to 40,000, whole number mathematical expressions that use only common mathematical symbols and exactly four 4s. Wheeler offers his solutions in three different formats: an abbreviated list of answers; a text file of results, mathematical expressions,
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 Deliberative Discourse Idealized and Realized: Accountable Talk in the Classroom and in Civic Life  Sarah Michaels, Catherine O’Connor, Lauren B. Resnick
An article in PDF format. Abstract: Classroom discussion practices that can lead to reasoned participation by all students are presented and described by the authors. Their research emphasizes the careful orchestration of talk and tasks in academic learning.
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 Dennis Stanton
Dennis Stanton is a professor at the University of Minnesota studying combinatorics and hypergeometric functions. Many of his papers are available online in PostScript and PDF formats. There are also exams and solutions from previous classes, and a complete
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 Density Functional Theory in Hydrodynamics
Density functional theory in hydrodynamics of a multicomponent multiphase
mixture. Density functional theory describes the multicomponent multiphase
mixture continuously without density jumps and interfacial surfaces.
Bulletin /Field of Application/
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 Department of Mathematics and Computer Science  North Carolina School of Science and Mathematics (NCSSM)
Learning materials for teachers and students include resources on algebra, advanced functions, and mathematical modeling; data sets used with the NCSSM textbook Contemporary Precalculus Through Applications; the AP Calculus Web Center; and Mathematics
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 Department of Science & Mathematics Education: Research and Development  Univ. of Melbourne, Australia
Read faculty research and learn about their projects and interests: children's understanding of statistical and probabilistic concepts; the negotiation of meaning in mathematics & science classrooms (The Classroom Project); the expression of algorithms
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 Dept. of Statistics  University of Illinois at UrbanaChampaign
Web pages generated by statistics courses; biographical sketches of faculty, staff, lab members, and graduate students; department newsletter. Graduate program admission requirements, degrees offered, courses, statistical consulting services, and The
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 Derivatives Page  Financial Pipeline
Derivatives are financial securities whose value is derived from another "underlying" financial security. Options, futures, swaps, swaptions, and structured notes are all examples of derivative securities. Derivatives can be used in hedging, protecting
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 Design, Analysis, Implementation, and Evaluation of Graph Drawing Algorithms  Petra Mutzel
Automatic Graph Drawing is a relatively new field in Computer Science. The task is to draw diagrams of objects and their relations in such a way that they are easy to read and understand. Applications are, e.g., animation of algorithms, data and flow
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 Design Ideas  Julie Coghill
A series of articles that discuss quilt design using proportion, asymmetry, and Pythagorean triples.
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 Designing a Sustainable Standardsbased Assessment System  Don Burger; Midcontinent Regional Educational Laboratory (McREL)
Designing and implementing a sustainable standardsbased system that consistently yields high student achievement involves more than setting and measuring academic goals. Changing to a standardsbased system provides an
opportunity to reexamine the
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 Designing Effective Professional Development: Lessons from the Eisenhower Program  U.S. Department of Education
The second report of the National Evaluation of the Eisenhower Professional Development Program, Part B (State and Local Activities), a multiyear evaluation being conducted by the American Institutes for Research (AIR) under a contract with the U.S.
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 Determinación Geométrica de los Números Primos y Perfectos  Omar E. Pol
Un breve ensayo en que "se describe la geometría que determina la distribución exacta de los números primos y también de los números perfectos. Se ilustra el texto con diagramas originales; se muestra el modelo principal
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 Detracking America's Schools: The Reform Without Cost?  Brewer, Rees, Argys; Phi Delta Kappan
The practice of grouping school students by level of ability, known as tracking, has long been used in American public schools. In recent years, opponents of tracking have argued that belowaverage students are hindered by being grouped together, while
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 Developing Algebraic Thinking  Suzanne Alejandre
Teacher lesson plan and student kinesthetic activities on the Traffic Jam activity and applet, as originally published in the inaugural (Fall, 2002) issue of ONMath, an electronic journal of the National Council of Teachers of Mathematics (NCTM).
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 The Development of Group Theory  MacTutor Math History Archives
Linked essay describing the rise and progress of group theory from the 18th through the 19th centuries, with references (books/articles).
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 Dice and Valentine's Day Symmetries (Math Chat)  Frank Morgan; Christian Science Monitor
A dice challenge from S. H. Logue: The six faces of four dice have these numbers on them: A 1 1 5 5 5 5 B 4 4 4 4 4 4 C 3 3 3 3 7 7 D 2 2 2 6 6 6. You and your opponent each choose one die to use throughout the game. Each round you both roll, and the
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 Dien dàn Toán hoc.net
A math site in Vietnamese.
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 Different Ways to Represent Numbers  Chad Lake
Online paper that discusses and illustrates counting in bases other than 10; converting to decimal; the Snake Algorithm (the algorithm, summary of binarytodecimal Snake Algorithm, decimaltobinary Snake, extending the Snake to other bases, and summary
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 Digital Manipulatives: New Toys to Think With  Resnick, Martin, Berg, Borovoy, Colella, Kramer, Silverman; MIT Media Laboratory
Manipulative materials such as Cuisenaire Rods and Pattern Blocks enable children to explore mathematical and scientific concepts such as number and shape through direct manipulation of physical objects. Resnick et al. have developed a new generation
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 Digital Mathematical Performance  Gadanidis, George; Borba, Marcelo; Hughes, Janette; et al.
Watch video, liveacted dramatic storyboards, and animations of how people "perform" mathematics: Flatland, "Help Me, Fermi," Should Parallel Lines Never Meet," "The Pleasure of Making 10" (linear equations), "The Waiter" (the missing dollar problem),
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 Digits, Squares, and Cycles  Ivars Peterson (MathTrek)
Fascinating patterns lurk among the digits of whole numbers. Pick a positive integer, such as 57. Square each of the digits, then add the squares together: 5^2 + 7^2 = 25 + 49 = 74. Do the same thing with the digits of 74: 7^2 + 4^2 = 49 + 16 = 65. Keep
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 Diophantine geometry in characteristic p: a survey  José Felipe Voloch
An article that appeared in Arithmetic Geometry, F. Catanese, ed., Symposia Mathematica XXXVII, Cambridge Univ. Press, 1997, pp. 260278. Introduction; Curves; Abelian varieties and their subvarieties; Diophantine Approximation in characteristic p; Omitted
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