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 Communicating Mathematical Expressions on the WWW - Ping A semantic expression notation known as MINSE (a Medium-Independent Notation for Structured Expressions) with a deployed implementation that makes expressions a reality for the scientific and mathematical Internet community. The aim is to help the scientific ...more>> Communication and Collaboration - The Partnership for 21st Century Skills This page details the communication and collaboration skills framework from P21, and links to additional resources: Web Index for Communication Resources (an online index of many communication related topics and resources), Engauge overview of communication ...more>> Commutative, Associative And Distributive Properties (SMILE) - James E. Breashears, Robeson High School A lesson designed to teach students to compute expressions like (56 + a) + 4 and (50 * 7) * 2; to identify the commutative and associative properties; and to rewrite expressions by using the distributive property. From the Algebra and Trigonometry section ...more>> Comparative Chronology of Money - Glyn and Roy Davies This site chronicles monetary history from ancient times to the present day. The information presented is based on the book, "A History of Money." The timeline starts from 9000 BC and goes through 2002 AD. ...more>> 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); ...more>> Compleat Sine Wave, Fourier Series - Bill Finzer, Key Curriculum Press Two "FPU Necessary [Geometer's] Sketches," one that illustrates Fourier series and another that draws a sine wave and lets you change the phase, amplitude, and frequency dynamically. ...more>> Completing Latin Squares - Ivars Peterson (MathTrek) Using only the numbers 1, 2, 3, and 4, arrange four sets of these numbers into a four-by-four 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) ...more>> Completing the Square - Math Forum, Ask Dr. Math Common Question A selection of answers to questions about completing the square, with diagrams, geometry, and alternate methods. ...more>> Complex Analysis (Graphics Archive, Special Topics) - The Geometry Center Research involving maps of one or more complex variables. ...more>> Complexification - Jared Tarbell View interactive, open source Java applets of fractals and other mathematically significant graphics. ...more>> The Complexity of Geometric Constructions - François Labelle Efficient constructions with straight-edge and collapsing compass (the geometric tools of Euclid). The question of what can and cannot be constructed with this model of computation is basically answered by Galois Theory. This document deals with the minimum ...more>> 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 ...more>> Complex Numbers (Manipula Math) - International Education Software (IES) Java applets to investigate complex numbers, their reciprocals, powers, and other selected functions. (One function leads to a fractal.) ...more>> Complex Numbers & Trig - Alan Selby Complex Numbers and the Distributive Law for Complex Numbers, offering a short way to reach and explain trigonometry, the Pythagorean theorem, trig formulas for dot- and cross-products, the cosine law, and a converse to the Pythagorean theorem. A geometric ...more>> Complex number to a complex power may be real - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A proof using Euler's formula. ...more>> Complex, Technology Based Problems in Calculus - Math Department, Rose-Hulman Institute of Technology Nearly 100 problems with a higher level of complexity than traditional textbook problems and that foster use of a computer algebra system. Problem categories include: anti-differentiation, data fitting, difference equations, differential equations, and ...more>> Complex Variables (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college complex variables. Complex Numbers: Basic Definitions and Arithmetic, The Complex Plane, The Polar Form ...more>> Composition of Functions - Math Forum, Ask Dr. Math Common Question A selection of answers to questions about composition of functions, including evaluating them and determining the domain of a composite function, ...more>> Compound Interest to e and i - Don Cohen (The Mathman) Graphing and exploring simple interest and compound interest. Examples of interest earned on one dollar at 6 percent compounded daily, monthly, quarterly, annually. Patterns, infinite sequence. Sample problems with some answers from Chapter 11 of Don ...more>> 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 ...more>> Comprehensive School Mathematics Program (CSMP) - Mid-continent Regional Educational Laboratory (McREL) A K-6 mathematics curriculum from the Mid-continent Regional Educational Laboratory (McREL) that focuses on problem solving, concept development, and other higher cognitive processes following the NCTM Standards. The program requires special preparation; ...more>> Compressible Aerodynamics Calculator - William J. Devenport Computes the standard relations for compressible flow of a perfect gas. ...more>> comp.soft-sys.math.mathematica - Math Forum A moderated discussion group that provides an opportunity for users of the software package Mathematica to help each other; occasionally, Mathematica's developers participate as well. Read and search archived messages; and register to post to the discussions. ...more>> comp.soft-sys.matlab - Math Forum An unmoderated discussion group, available via the Math Forum's archive (from which you can view messages, search them, and register to post), or in mailing list or newsgroup format, providing an opportunity for users of the software package Matlab to ...more>> The Computational Beauty of Nature - Gary William Flake Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation: a companion site for a book by Gary William Flake, "affectionately known as 'The Fish and Chips Book'." Contains applets and source code. ...more>> Computational Geometry - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to computational geometry, intended for topics whose geometric aspects are fairly straightforward, but for which the main questions involve efficient, accurate computation. A number of geometric questions ...more>> Computational Geometry (Graphics Archive, Special Topics) - The Geometry Center Understanding algorithms that solve problems in Geometry. ...more>> 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. ...more>> Computational Science Education Project (CSEP) - U.S. Department of Energy An electronic book for teaching Computational Science and Engineering to students at the advanced undergraduate level and higher. Tutorials for freely available networking and visualization software are also included for high school students and people ...more>> Computation Take a Quantum Leap - Ivars Peterson - Science News Online A quantum computation involving a custom-built 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 ...more>> Computer Algebra Information Network (CAIN) A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software ...more>> 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 ...more>> Computer Animated Statistics - Adriano Garsia, University of California, San Diego Java applets for probabilistic studies of picking fortunes from a limited supply of fortune cookies, picking prizes from an unlimited supply of cereal boxes, and Breaking the Bank (roulette). Also, Let's Make a Deal, an interactive solution to the Monty ...more>> Computer Art and Tessellations - Hans Kuiper A site about tessellations (tiles, tessels or regular patterns), infinity pictures, optical art, Islamic art, optical illusions, auto stereograms, company logos, quilt patterns and palindromes. Figures, patterns, textures and wallpaper drawings inspired ...more>> The Computer Delusion - Todd Oppenheimer, The Atlantic Monthly magazine A July 1997 article critical of the effects of the classroom use of computers. ...more>> Computer Generated Art Gallery - Tom Ellis Original computer-generated fractal images. Mandelbrot Sets; Mandelbrot zoom rendered onto a sphere. ...more>> 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 radially-symmetric motifs in a formation dictated by a tiling ...more>> 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 ...more>> Computerorientierter Mathematikunterricht zur Diskussion - Christian Wagenknecht Computer-oriented 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 ...more>> 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," ...more>> Computers and Internet : Hardware : Calculators : Hewlett Packard - Yahoo Yahoo's Web page of sites having to do with HP Calculators. ...more>> Computer Science Education Week - National Computer Science Education Week The materials from Computer Science Education Week inspire exploration of the field any time: defining documents; posters, brochures and kits; reports and presentations; data/computer science facts; curriculum; programs and ideas; videos; and contests. ...more>> Computer Science Unplugged - Tim Bell, Ian H. Witten, and Mike Fellows, University of Canterbury, New Zealand A free collection of activities designed to teach the fundamentals of computer science without requiring a computer. Because they're independent of any particular hardware or software, Unplugged activities can be used anywhere, and the ideas they contain ...more>> Computers, Free Will, and Marching Ants (Math Chat) - Frank Morgan; Christian Science Monitor Is it logically possible for a computer to have free will? ...more>> Computer Software for Math Education - Math Forum The Math Forum's page of suggested archives for downloading mathematics software. ...more>> Computer Solution Central Shareware games for Windows machines and PDAs. Includes a free solitaire game, educational games focusing on addition and multiplication, and a date calculator. ...more>> 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 ...more>> 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 Genaille-Lucas Rulers. Pictures of statistical computing devices such as the Pickett N525-ES Statrule, the cumulative binomial probability computer, the General Dynamics ...more>> 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. ...more>> 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: ...more>>
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