 Climate Dynamics, Chaos and Quantum Mechanics  Dr. A. Mary Selvam
A theory of everything for chaos, quantum mechanics, and gravity, applicable to macroscale weather patterns and subatomic dynamics as well as turbulent fluid flows. Contents focus on nonlinear dynamics and chaos (fractal geometry), iteration, a cell
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 The Clique Algorithm  Ashay Dharwadker
A polynomialtime algorithm for finding maximal cliques in a graph with new bounds on Ramsey numbers.
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 CLN: Community Learning Network
Designed to help K12 teachers integrate technology into their classrooms. Includes over 225 menu pages with more than 4,200 annotated links to educational WWW sites, as well as over 100 WWW resources of their own.
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 Clusters and Decagons  Ivars Peterson  Science News Online
A novel pattern made up of overlapping, 10sided tiles may serve as a model of how atoms arrange themselves into a quasicrystalline structure.
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 Clutch Hitting  Elan Fuld
Download the PDF of a study examining whether clutch (or choke) hitters exist in professional baseball. Using playbyplay data, Fuld found substantial evidence that clutch hitters exist in Major League Baseball, when sacrifice flies are considered as
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 CME Project  Center for Mathematics Education, Education Development Center, Inc. (EDC)
The CME Project is a fouryear, NSFfunded, comprehensive high school mathematics program that is problembased, studentcentered, and organized around the familiar themes of Algebra 1, Geometry, Algebra 2, and Precalculus. The CME Project sets as its
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 CODEE Learning Assets Library  Consortium for Ordinary Differential Equations Experiments (CODEE)
Electronic versions of the 19921997 CODEE newsletters, which published pedagogical articles, lesson plans, computer experiments, and software reviews related to ODEs. The Consortium for Ordinary Differential Equations Experiments (CODEE) seeks to disseminate,
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 "The Code War"  Beyond Discovery  Dana Mackenzie et al.; National Academy of Sciences
PDF of a science article from the Beyond Discovery series that explores the trail of developments in the branch of mathematics known as number theory that led to modernday encryption techniques. Contents include: Early Ciphers; The Enigma Challenge;
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 Cognition Learning and Development Lab  Nicole McNeil, University of Notre Dame
The Cognition Learning and Development (CLAD) Lab studies how children think, learn, and solve math problems, in pursuit of the mechanisms involved in the development of quantitative reasoning, symbolic understanding, and problem solving. What basic cognitive
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 Cognitive Apprenticeship (Learning and Mathematics)  Collins, et al.; Math Forum
In a chapter entitled "Cognitive apprenticeship: Teaching the crafts of reading, writing, and mathematics," in the 1989 book Knowing, learning, and instruction: Essays in honor of Robert Glaser, Allan Collins, of BBN Laboratories, and John Seely Brown
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 Coins, Art, and Math in North Bay  Ivars Peterson (MathTrek)
North Bay's Nipissing University hosted the annual meeting of the Ontario
Association for Mathematics Education, which attracted about 650 math teachers. As one of the featured speakers, I presented a talk on randomness. My examples included slot machines,
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 Collaborative Learning  Mathematics Education at The Math Forum
A collection of links to collaborative and cooperative learning resources on the Web, including articles, discussions, and teaching techniques that emphasize collaboration.
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 The Collage Theorem  Cut the Knot!, Alexander Bogomolny
To find an IFS whose attractor is "close to" or "looks like" a given set, one must endeavor to find a set of transformations  contraction mappings on a suitable set within which the given set lies  such that the union, or collage, of the images of the
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 The Collapsing Compass  Godfried Toussaint
There has been considerable interest during the past 2300 years in comparing different models of geometric computation in terms of their computing power. One of the most wellknown results is the proof in 1672 due to Mohr that all constructions that can
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 CollegeLevel Standards and Guidelines  Mathematics Education at the Math Forum
The Math Forum's suggested sites on standards in college math education, including links to standards on the Web, sessions at conferences, and reports.
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 College Preparatory Mathematics (CPM): Change From Within  Smart Catalog
Description of a high school mathematics curriculum that replaces the current, standard collegepreparatory math program with a rich problembased, integrated curriculum.
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 Coloring Penrose Tiles  Ivars Peterson (MathTrek)
One set of Penrose tilings consists of a pair of diamondshaped figuresone fat and one skinny. Attempts to color such Penrose diamond tilings led some people to conjecture that three colors suffice. Now, mathematicians Tom Sibley of Saint John's University
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 Combinatorics (MathPages)  Kevin Brown
About 40 "informal notes" by Kevin Brown on combinatorics: Dedekind's problem, cumulative permutation sequences, the factorial number system, Hardy and Ramanujan on partitions, solving magic squares, collecting k complete sets of coupons, and many more.
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 The Combinatorics Net and Annals Of Combinatorics  Bill Chen
Links to combinatorics articles, groups, conference reports, seminars, journals, books, typesetting and graph drawing, software, preprints, open problems, research announcements, news and stories, and related sites. The Annals of Combinatorics publishes
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 Combustion Chaos  Univ. of Houston, Univ. of Texas at San Antonio
An interdisciplinary research group studying the dynamics of pattern formation in burner stabilized premixed flames. Includes graphics, movies, and Java simulations of different patterns, explanations of models and experiments, and list of related publications;
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 Comedy Tonight, Math Style!  Ivars Peterson (MathLand)
Edward Burger and Colin Adams aren't yet as well known as such famous comedy teams as Laurel and Hardy... but they are not only performers but also math professors at Williams College in Williamstown, Mass. They bring antic energy, slapstick humor, and
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 Comments on Mathematics and Education  E. Lee Lady, University of Hawaii
Notes on the teaching and learning of math. What Is Mathematics? What Makes Mathematics So Hard? My Attitude Towards Teaching. Universities and Learning. Also email comments from readers, on: Teaching Maths in the public schools; Giving Students Power
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 Common Core Online  Darren Burris
Articles on Common Core State Standards (CCSS) mathematics, dating back to December, 2011, as "scooped," or digitally curated, by a Boston, MA, teacher.
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 COMPASS: Curricular Options in Mathematics Programs for All Secondary Students  Linda A. Roach
COMPASS provides information and assistance with the implementation of five comprehensive curriculum projects that support the Standards set forth by the National Council of Teachers of Mathematics (NCTM): Application Reform in Secondary Education (ARISE);
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 A compendium of NP optimization problems  Crescenzi & Kann
A continuously updated catalog of approximability results for NP optimization problems. Because no NPcomplete problem can be solved in polynomial time (unless P=NP), many approximability results (both positive and negative) of NPhard optimization problems
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 Completing Latin Squares  Ivars Peterson (MathTrek)
Using only the numbers 1, 2, 3, and 4, arrange four sets of these numbers into a fourbyfour array so that no column or row contains the same two numbers. The result is known as a Latin square... in Latin squares of order 4, each row (and each column)
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 Complex Numbers  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A series of articles on the algebraic structure of complex numbers and their application to solving various problems in algebra and geometry. Several of the discussed features, for example, real and complex products, are drawn from very recent literature
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 A comprehension tool for mathematics?: the Math Forum @ Drexel's Online Mentoring Guide  Renninger, Ray, Luft, and Newton
Two studies of the Math Forum's Online Mentoring Guide (OMG) address whether and how online comprehension tools might support mathematics learning. In Study 1, the culture of the preservice teachers' (PTs') mathematics classroom and their work with the
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 Computational Geometry  arXiv.org ePrint archive
The computational geometry section of the Computing Research Repository (CoRR), moderated by Joseph O'Rourke. Recent papers.
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 Computational Geometry  Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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 Computational Geometry Student Projects, 1997  Godfried Toussaint, McGill University
A variety of student projects: papers presented on the Web, many with Java applets, and available in postscript form. Topics include: Quadrangulations of Planar Sets of Points; The Jordan Curve Theorem for Polygons; The Art Gallery Problem; Ear Cutting;
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 Computational Science Highlights  National Science Foundation Metacenter: Science Highlights
This multimedia collection contains descriptions of some of the 10,000 scientific research projects that have used the resources of National Science Foundation supercomputing centers. The reports range from astronomy to zoology, and include scientific
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 The computation of certain numbers using the ruler and compass  Simon Plouffe, Journal of Integer Sequences
A method for computing some numbers bit by bit using only the ruler and compass, in particular the construction for arctan(X)/Pi. This method is a spigot algorithm and can be applied to numbers that are constructible over the unit circle and the ellipse.
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 Computation of Discrete Logarithms in Prime Fields  LaMacchia, Odlyzdo; AT&T Bell Laboratories, NJ
The presumed difficulty of computing discrete logarithms in finite fields is the basis of several popular public key cryptosystems. The secure identification option of the Sun Network File System, for example, uses discrete logarithms in a field GF(p)
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 Computation Takes a Quantum Leap  Ivars Peterson  Science News Online
A quantum computation involving a custombuilt molecule furnishes experimental evidence that a quantum computer can determine the order of a permutation more efficiently than can a conventional computer. For their quantum computer, Isaac L. Chuang of
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 Computer Aided Learning in Mathematics (CALM)  Department of Mathematics at HeriotWatt University, Edinburgh
Developments in ComputerAided Learning and Assessment, as well as software, academic papers and other information produced by the CALM group. Download the demo for Interactive PastPapers, an exam simulator and personal tutor. Links to course guide, worksheets
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 Computer Algebra and Problem Solving Environments  Stanly Steinberg
Abstract for Stanly Steinberg's article in Comparative CAS Reviews and Philosophy, suggesting six ways computer algebra systems could be improved.
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 Computer Algebra Systems in Calculus Reform  Lisa Denise Murphy
A literature review that starts with a brief history of the calculus reform movement and goes on to describe several studies in which computer algebra
systems (CAS) were used in introductory calculus courses. With the beginnings of an annotated list
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 The Computer Delusion  Todd Oppenheimer, The Atlantic Monthly magazine
A July 1997 article critical of the effects of the classroom use of computers.
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 Computerorientierter Mathematikunterricht zur Diskussion  Christian Wagenknecht
Computeroriented Math Teaching. Lernen und Lehren mit dem Computer. Theory and practice with the computer. A paper in German by Wagenknecht on computers and math teaching; integrating the computer into the classroom; impediments (fear of computers, reluctance
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 Computers and Education  Crawford Kilian
Links to interesting and useful sites, advice on how to join some good listservs, and some of Kilian's articles on what computers and educators are doing to each other, including "Why Teach Online," "Education@Home," "Spinning a New Web of Learning,"
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 Computers, Free Will, and Marching Ants (Math Chat)  Frank Morgan; Christian Science Monitor
Is it logically possible for a computer to have free will?
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 Computer Simulations in Physics  Maciej Matyka
Physically based modelling simulations. Examples: Simple Newton Dynamics; Particle Dynamics Engine; Waves equation; Cellular automata; Incompressible NavierStokes; Fluid Calculations; Quantum Mechanics; Rigid Cloth Behaviour Classical and quantum physics,
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 Computing at the Edge  Ivars Peterson  Science News Online
To study and predict boundary effects, researchers have struggled to accurately capture erratic, complicated behavior in a computer model. In recent years two schemes for calculating what happens at rapidly evolving interfaces have provided new insights
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 Computing in a Surreal Realm  Ivars Peterson (MathLand)
Even among mathematicians, the study of surreal numbers is an obscure pastime. Only a few have occupied themselves in recent years exploring the peculiarities of a number system that includes different kinds of infinities and vanishingly small quantities.
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 Computing Science: A Question of Numbers  Brian Hayes; American Science
An article about the ISC (Inverse Symbolic Calculator) and numbers. "In my daydream, Neil Sloane and Simon Plouffe are contestants on "Jeopardy," the TV game show. Sloane picks the category "Integer Sequences" for $400, and Alex Trebek reads the answer:
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 Computing the Hausdorff Measure and Dimension of Fractals Generated by Möbius Transforms  Mark Krosky, Cornell University
An illustrated paper by a Cornell Univ. graduate student. Abstract: Möbius transforms are an important class of conformal maps. By studying fractals they generate, we can gain more information about groups of Möbius transforms. A discussion
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 Computing with the EDSAC  Ivars Peterson (MathLand)
The celebration earlier this year of the fiftieth anniversary of the unveiling of the ENIAC, the first electronic, generalpurpose computer, has focused attention on the early history of computing. In the 1940s, there were no computer scientists, no software
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 The Concept and Teaching of PlaceValue  Rick Garlikov
A theoretical explanation about (the problem of) teaching PlaceValue to children, with a practical method given based on that explanation.
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 Condorcet.org  Blake Cretney
Theories on voting and social choice. Learn about an electoral method called "ranked pairs" and download software to tabulate other voting methods. The Election Methods Resource enumerates "single winner" and legislative approaches to running elections.
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