 The Counterfeit Coin  Ivars Peterson (MathTrek)
The classic puzzle of the counterfeit coin has long served as a stiff test of one's reasoning power and ingenuity. In its standard form, the problem concerns 12 coins identical in size, shape, and appearance. One coin, however, is counterfeit, having
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 Counting by Twos  Ivars Peterson (MathTrek)
How much is a megabyte? Many people don't really know. The problem originated decades ago when computer professionals noticed that 2^10 is very nearly equal to 1,000, and they began using the metric prefix "kilo" to mean 1,024. That was okay when computers
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 Count Me In  JoAnne LeFevre, Director
Research on the effects of culture and language on preschool children's ability to learn to count and complete other early numeracy tasks. Participants include Turkish, Chinese and English speakers. Publications from the team of researchers from Carleton
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 Covering Up (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Have you ever wondered why the cover of a manhole is nearly always round? Why couldn't it be oval or square? The usual answer is that a circular lid, unlike a square or an oval cover, won't fall through the opening, but the circle isn't the only shape
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 The Cow in the Classroom  Ivars Peterson (MathLand)
Math Curse by Jon Scieszka and Lane Smith spoofs the types of word problems that educators and textbook writers invent to dress up arithmetic exercises and, supposedly, to demonstrate the relevance of math to everyday life. Canadian economist and humorist
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 CPAIOR 2001: Third International Workshop
Third International Workshop on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems. Wye College (Imperial College), Ashford, Kent UK; 810 April, 2001. Papers available
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 Cracking a Medieval Code  Ivars Peterson (MathTrek)
The first printed book on cryptology was written by Johannes Trithemius (14621516), an abbot in Spanheim, Germany, who was one of the leading intellectuals of his day. Bearing the title Polygraphiae libri sex ("Six Books of Polygraphy"), it was published
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 Cracking Kepler's spherepacking problem  Ivars Peterson; Science News Online
The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Now, a mathematician has proved that no other arrangement of identical spheres fills space more efficiently.
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 Cracking the Myth of Ball Control  Ivars Peterson (MathLand)
Ball control has become common practice in a number of sports. In basketball, for example, coaches often urge their teams to slow down a game at certain times or to control its tempo. In professional football, "time of possession" has become a statistic
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 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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 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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 Daylight Savings Time  Jim Loy
A short explanation of Daylight Savings Time in the United States.
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 Day Of The Week Of Any Date  Jim Loy
An explanation of how to figure the day of the week for any date, with some detailed shortcuts and some tables you might memorize.
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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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