 Computer Generated Islamic Star Patterns  Craig S. Kaplan
Islamic star patterns are a beautiful and highly geometric art form whose original design techniques are lost in history. This site describe one procedure for constructing them based on placing radiallysymmetric motifs in a formation dictated by a tiling
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 Computer Graphics  Brad Shelton; Dept. of Mathematics, University of Oregon.
Thirty computer graphics (knots, braids, a mobius trough) and four movies (torus, spirograph) created with Mathematica.
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 Computer History Museum
The Computer History Museum presents and preserves for posterity the artifacts and stories of the information age. Exhibits include histories of the Internet and of computer chess; and a working model of the Babbage Engine, first undertaken by that mathematician
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 Computer Lab Courseware  University of Toronto
Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under XWindows. A lab manual in TeX beginning with an introduction to UNIX and
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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 and Internet : Hardware : Calculators : Hewlett Packard  Yahoo
Yahoo's Web page of sites having to do with HP Calculators.
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 Computer Science  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to computer science, today more accurately a separate discipline that considers a number of rather
mathematical topics. In addition to computability questions arising from many problems in discrete
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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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 Computer Software for Math Education  Math Forum
The Math Forum's page of suggested archives for downloading mathematics software.
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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 Before Computers  Brian Borchers, New Mexico Institute of Mining and Technology
Online introductions, with PostScript or PDF downloads, of Napier's Bones and of the GenailleLucas Rulers. Pictures of statistical computing devices such as the Pickett N525ES Statrule, the cumulative binomial probability computer, the General Dynamics
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 Computing Fibonacci Numbers on a Turing Machine  Alex Vinokur
An algorithm that computes Fibonacci numbers on a Turing Machine. Transition table contains 100 rules. The program computes a Fibonacci number. A number 'n' is represented by n 1s. Input: number 'n'. Output: Fibonacci#n.
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 Computing Huffman Codes on a Turing Machine  Alex Vinokur
An algorithm that computes Huffman codes on a threetape Turing Machine. Transition table contains 243 rules. Input: Tape#0  weights, Tape#1  empty, Tape#2  empty. Output: Tape#0  weights and its Huffman codes, Tape#1  empty, Tape#2  empty.
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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 Minimal Equal Sums Of Like Powers  JeanCharles Meyrignac
A distributedcomputing project on equal sums of like powers, for "all those who are fascinated by powers and integers," and the place to look for the current status of the problem. Download and install Euler2000 to participate.
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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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 Concurrent Triangles  Jim Wilson
Sketches and scripts exploring various concurrencies in triangles.
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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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 Conference Board of Mathematical Sciences (CBMS)
The Conference Board of the Mathematical Sciences is an umbrella organization consisting of sixteen professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences.
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 Confessions of an Engineering Washout  Douglas Kern
Article about the author's experiences with undergraduate education for engineering.
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 Confronting Technology  Lowell Monke
This site provides a variety of resources critically examining the relationship between human beings and technology, with specific resources on the way computers are used in education. They include: an annotated bibliography, a list of documents available
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 The Conic Sections in Polar Coordinates  David Arnold; Mathematics Dept., College of the Redwoods, CA
An interactive study of the polar form of the equation for a conic section, for readers familiar with polar coordinates and triangle trigonometry. This activity is also a vehicle for the introduction of the Geometer's Sketchpad, though no prior experience
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 Conic Sections (Visual Dictionary of Special Plane Curves)  Xah Lee
A discussion of the history of conic sections, one of the oldest math subjects studied systematically and thoroughly, with a description, formulas, properties, a proof, Mathematica notebooks, the ellipse seen as a circle, second degree curves, intersection
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 Coniques interactives en CabriJava (Interactive conics with CabriJava)  Yves Martin
Conics in the Euclidean and projective planes; also in algebra (group),
bilinear geometry, and arithmetic (PellFermat): 123 interactive files
using the CabriJava technology. The site is in French.
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 Connected Curriculum Project: CCP Materials  Lawrence C. Moore & David A. Smith, Duke University
Materials for Precalculus, Differential Calculus, Integral Calculus, Multivariable Calculus, Differential Equations, Linear Algebra, and Engineering Math, with application areas in biology, chemistry, economics, engineering, environmental sciences, epidemiology,
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 Connected Curriculum Project (CCP)  Moore, Smith; Duke University
The Duke component of a coordinated effort to create interactive learning environments for a wide range of mathematics and mathematically based applications, combining the flexibility and connectivity of the Web with the power of computer algebra systems.
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 Connected Curriculum Project: Multivariable Calculus, Linear Algebra, and Differential Equations  Frank Wattenberg, Department of Mathematics, Montana State University
Materials (TI92, Maple, Mathematica 2, Mathematica 3, MathCad) organized around the interplay between mathematics and its applications, written together with the textbook Multivariable Calculus, Linear Algebra, and Differential Equations in a Real and
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 CONNECT: Everyone can do Math and Science  Colorado
Colorado's NSFfunded statewide systemic initiative in mathematics and science. CONNECT is charged to provide support and leadership to increase the achievement of all Colorado students in mathematics and science, kindergarten through baccalaureate (K16).
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 Connecting Mathematics  a Maths Thesaurus  University of Cambridge, U.K.
More than an alphabetical list of words and their definitions, this site has grown from a proposal made by the NRICH project at the University of Cambridge, to develop an online dictionary of mathematics to support its other online publications. The thesaurus
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 Connexions  Rice University
Connexions is a nonprofit startup launched at Rice University in 1999 that aims to reinvent how we write, edit, publish, and use textbooks and other learning materials. It is a global repository of educational content that can be described in four words
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 Consortium for Mathematics and Its Applications (COMAP)
A nonprofit organization offering multidisciplinary and academically rigorous curriculum materials and teacher development programs based on mathematical exploration of realworld problems. Developers of the PBS television series "For All Practical Purposes:
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 Consortium to Develop an Intelligent Mathematical Programming System (IMPS)  Harvey Greenberg; Dept. of Mathematics, Univ. of Colorado at Denver
Advances in computing technology have created a situation where we can solve larger problems than we can understand. This is true for most linear programs, and it is becoming increasingly true for nonlinear and integer forms. In addition, model management
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 The Constants and Equations Pages  Jonathan Stott
A growing reference resource providing alphabetically listed categories of some of the more important and useful aspects of maths and special sections on numbers, algebra, trigonometry, integration, differentiation, and SI units and symbols, with in addition
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 Constants, Units, and Uncertainty  National Institute of Standards and Technology (NIST)
A reference with three sections: Fundamental Physical Constants (values of the constants and related information, and a searchable bibliography on the constants); the International System of Units (indepth information on the SI, the modern metric system),
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 Constrained and Unconstrained Testing Environment (CUTE)  DCI (UK)
A suite of Fortran subroutines, scripts, and test problems for linear and nonlinear optimization. Its purpose is to provide ways to explore an extensive collection of problems (over 800 different test problems to date), to compare existing packages and
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 Constraints  Davide Cucciniello
This SATbased propositional (Boolean) logic engine for the iPhone lets you add, modify, delete, enable or disable constraints; assign values (true, false) to Boolean variables; and find all possible assignments to unassigned Boolean variables as solutions
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 Constructing SemiRegular Tilings  Kevin Mitchell
A document based on a talk given at the Spring 1995 Meeting of the Seaway Section of the Mathematical Association of America. Contents include: Introduction and Historical Background; Notation and Definitions; General Theorems; Hyperbolic Results; and
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 Constructivism and Education: A Shopper's Guide  Moses A. Boudourides
A brief review of the various streams of constructivism in studies of education, society, science and technology: philosophical, cybernetic, educational, and sociological. A paper presented at the International Conference on the Teaching of Mathematics
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 Constructivism and Mathematical Concepts  Pathways to School Improvement
A discussion of constructivism as it relates to teaching mathematics. A list of reflective questions for teachers and references is included.
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 Constructivism in Science and Mathematics Education  Michael R. Matthews
Matthews discusses constructivism, its scope and influence, and looks at the particular case of New Zealand, in this article from the 99th Yearbook of the National Society for the Study of Education.
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 Constructivism in the Classroom  Mathematics Education at the Math Forum
The Math Forum's suggested sites on constructivism in math education, including projects and Web resources (conference sessions, articles, reports). See also our page of selected Internet sites with a constructivist orientation or that offer readings
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 Constructivism: Vygotsky and the Internet  Mathematics Education at The Math Forum
The ideas of Lev Semenovich Vygotsky have sparked considerable thought on the topic of constructivism. The Math Forum has collected a list of links to sites, projects, and articles about Vygotsky, constructivism, and the Internet, including comparisons
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 Constructivist Mathematics and Unicorns  Lee V. Stiff
The thenpresident of NCTM lays out distinctions among various forms of constructivism, and how they relate to the Principles and Standards, in this 2001 article.
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 A Constructivist View of Science Education  University of Massachusetts Physics Education Research Group (UMPERG)
Four premises of constructivism: knowledge is constructed, not transmitted; prior knowledge impacts the learning process; initial understanding is local, not global; and building useful knowledge structures requires effortful and purposeful activity;
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 Constructivist Views of Learning in Science and Mathematics (ERIC Digest)  Drew K. Ishii
An examination of constructivism and its implications for the classroom, with web and print resources for additional study.
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 Constructor  Soda
Constructor animates and edits twodimensional models made out of masses and springs. The springs can be controlled by a wave to make pulsing muscles, and you can construct models that bounce, roll, walk, etc. Try some of the readymade models or build
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 Contentbased Image Retrieval Project  Computer Science Department, Stanford University
Project group members; online demos; SIMPLIcity: Semanticssensitive Integrated Matching for Picture LIbraries; related links.
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