 A Crash Course in the Mathematics of Infinite Sets  Peter Suber; Philosophy Department, Earlham College
An introductory guide for philosophers, explaining the use of infinitary set theory.
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 Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry [PDF document]  Aleka McAdams, Stanley Osher, and Joseph Teran
The May 2010 issue of the Notices of the American Mathematical Society includes a PDF article (1.3M) entitled "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry."
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 Creating an Active Learning Environment: Preparing PreService Teachers  Professor Hubert J. Ludwig; Math Forum
A page created at the request of Professor Hubert J. Ludwig, who organized a session on preparing preservice teachers to create active learning environments at the Annual Meeting of the Mathematical Association of America in Orlando, January 1013, 1996.
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 Creative Problem Solving  Rob Eastaway
Eastaway's "portfolio" of interests includes short descriptions of his school talks, newspaper articles, and books he has authored or coauthored, such as Maths for Mums and Dads, The Hidden Mathematics of Sport, How to Remember Almost Everything, Ever,
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 Critical Evaluation Information  Kathy Schrock's Guide for Educators, Discovery School
With the advent of the World Wide Web and the huge amount of information it contains, students need to be able to evaluate a Web page for authenticity, applicability, authorship, bias, and usability. To help teachers get students started with this process,
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 Critical Issues in Mathematics (NCREL)  Pathways to School Improvement
Articles from the North Central Regional Educational Laboratory (NCREL). The Significance of the NCTM Standards; Ensuring Equity and Excellence in Mathematics; Locating, Using, and Integrating InternetBased Mathematics Materials; Providing HandsOn,
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 Critic of Technology in Schools Faces Tough Audience  Pamela Mendels
From the New York Times column on Education, an April 1998 report on public opinion of the views of Todd Oppenheimer (author of "The Computer Delusion", which apperared in the Atlantic Monthly magazine), from a public meeting concerning technology in
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 Crop circles: Theorems in wheat fields  Ivars Peterson  Science News Online
Patterns of circles and triangles surreptitiously flattened into the crops of southern England reveal the perpetrators' sophisticated knowledge of Euclidean geometry.
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 CrossAge Tutoring  Marah Fortson; Math Forum
An annotated bibliography: articles to help teachers deal with a classroom of learners with different abilities, different strengths and weaknesses, who are at different levels academically, behaviorally, and socially. The task of the teacher is a challenge,
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 CRUME'S First Volume  What Will Mathematicians Think?  Research Sampler: John and Annie Selden, Eds.
A description of the first volume of Research in Collegiate Mathematics Education, first in a series of annual volumes (CMBS Issues in Mathematics Education, Vol. 4, 1994), in Undergraduate Mathematics Education Trends, January 1995.
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 The Crypto Drop Box of the American Cryptogram Association  Jerry Metzger
The American Cryptogram Association (ACA) is a nonprofit volunteer organization devoted to disseminating cryptographic knowledge. Members make up and solve their own creations strictly for the fun of it. Every two months, the ACA journal, The Cryptogram,
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 C.T.J. Dodson  Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and precalculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
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 Cubes of Perfection  Ivars Peterson (MathTrek)
...Six is the smallest perfect number. Twentyeight comes next. Its proper divisors are 1, 2, 4, 7, and 14, and the sum of those divisors is 28. Incidentally, if the sum works out to be less than the number itself, the number is said to be defective
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 Cubic surfaces  MacTutor Math History Archives
Linked essay on the history of surfaces of order three.
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 Curriculum Development Projects  Mathematics Education at the Math Forum
The Math Forum's suggested sites on curriculum development in math education, including projects sponsored by the NSF and others.
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 Curriculum  Math  Schoolinfosystem.org
"Curated education information" about mathematics curriculum. Posts reproduced from newspapers and other sources, which date back to April, 2004, have included "Math Teachers Speak Up"; "The Last Time You Used Algebra Was ..."; "Askey on Elementary Math
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 Curve Family Index (Visual Dictionary of Special Plane Curves)  Xah Lee
A discussion of the many ways to classify curves, how they are named, a curve family tree, and interconnection between curves, with related Web sites about fractals and curves. Hosted by the Math Forum.
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 Curves and Lying Calculators  Ivars Peterson (MathLand)
The pictures generated by a graphing calculator depend on the number of pixels in the display. The TI85 has 63 rows and 127 columns in its display (a total of 8,001 pixels). "This configuration of pixels defines what we actually see and, therefore, sometimes
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 Curves on Baseballs  Ivars Peterson (MathTrek)
It's that time of year again (at least in North America), when the thoughts of many sports fans turn to baseball. Over the years, the game has also attracted the attention of mathematicians and statisticians intrigued by the rules, geometric considerations,
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 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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