 Circles of Dissonance  Ivars Peterson (MathTrek)
Much of today's music rests upon ancient tradition going back thousands of years to the time of the Greek mathematician and mystic Pythagoras. The Pythagoreans observed that tones an octave apart are pleasing to the ear. In modern terms,
one can say
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 Circles of Light: The Mathematics of Rainbows  Frederick J. Wicklin, Paul Edelman; The Geometry Center
How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical
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 Circles of Light: The Mathematics of Rainbows  Steven Janke; The Geometry Center
How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical
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 Circle Zap  Michael Bulmer
A Java applet that gathers data on your ability to use a mouse rapidly and accurately, with suggested questions for classroom activities.
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 Circular Reasoning  TJ Leone, Leone Learning Systems, Inc.
A free, Javabased software tool for thinking about circles, sectors, segments, and angles. Based on Montessori principles of learning through the manipulation of objects. Activity cards included. For Windows computers only. Includes ideas and stories
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 Circumference of an Ellipse (Ask Dr. Math FAQ)  Math Forum
A discussion of the derivation of the formula for the circumference of an ellipse. Also discussions of the evaluation of the formula, and approximating the circumference.
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 Circumferences, Diameters, and Radii (SMILE)  Dwayne Belle, Fuller School
A lesson designed to teach students to measure circumferences in inches, and compute radii and diameters, given different circumferences. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and
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 Citizen Maths  Ufi Charitable Trust
Free courses of selfpaced video tutorials, discussions, and handson activities to try out. Developed by Calderdale College (UK), with CogBooks, the Institute of Education, and Oxford Cambridge RSA (OCR).
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 The Civilization of the Mayans  ThinkQuest 1997
Essentially a school paper in web format, covering, briefly, Mayan art, astronomy, ballgame, books and hieroglyphics, class system, and number system, with rated related Mayan links and references, and an abouttheauthors section.
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 CK12
Providers of free, standardsaligned, open content in the STEM subjects. See, in particular, the CK12 Foundation's flexbooks: customizable, free, curriculumaligned K12 math textbooks. In addition to dozens of student editions, some math flexbooks feature
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 ClarisWorks Graphing: Spreadsheet Lessons  Suzanne Alejandre
Stepbystep directions for using ClarisWorks spreadsheets, helpful in exploring the differences between exponential functions and linear functions. Bar graphs, pie charts, pictograms, and other graphs for linear, polynomial, and exponential functions.
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 Clash of the Chess Titans  Keith Devlin (Devlin's Angle)
Thoughts on the KasparovDeep Blue match of 3 May 1997. Throughout history, people have been building machines that can perform tasks better than humans. When Kasparov, referring to his upcoming match, talks about "an area that defines human beings,"
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 Class2Class  Melanie Sprouse
Class2Class is a clearinghouse designed to facilitate student and class participation in Internet projects, including collaborative projects, datacollecting experiments, peer tutoring, and keypal exchanges designed to enhance the mathematics in your
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 Class Champ multiplication & division
Software intended to help children learn the times table by heart using Pop Times Table songs; show how multiplication works by displaying the question graphically; and quicken the child's ability to recall answers and allow the child to practice questions.
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 class.com  Class.com, Inc
Class.com provides distance education over the Internet, and offers a complete high school diploma from a fully accredited, universitybased independent study high school. Math course listings include a math skill review, basic mathematics, beginning
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 Classes With Web Resources  University of Illinois at UrbanaChampaign (UIUC)
A list of University of Illinois hypertext courses that are using the Web to augment traditional instructional materials, covering, among other topics, Civil Engineering, Computer Science, and Mathematics. Follow the links to read the course descriptions
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 Classical and Quantum Chaos, A Cyclist Treatise  Predrag Cvitanovic'
An online textbook on chaotic systems and dynamics, including exercises, solutions, and a guide to related literature. Read the book online in hyperlinked PDF format, or download it as a gzipped PostScript file. By the CATS cyclist team: Cvitanovic',
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 Classical Dynamics: Spinning Eggs — A Paradox Resolved  H. K. Moffatt and Y. Shimomura, Nature
"If a hardboiled egg is spun sufficiently rapidly on a table with its axis of symmetry horizontal, this axis will rise from the horizontal to the vertical. Conversely, if an oblate spheroid is spun sufficiently rapidly with its axis of symmetry vertical,
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 The Classical & Keynesian ADAS Model of the Canadian Economy  Elmer G. Wiens; Egwald Web Services Ltd.
Macroeconomics model of the Canadian economy considering both the aggregate supply and aggregate demand for products. Illustrated article with interactive supplemental page.
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 The Classical Simplex Method  Prof. Hossein Arsham; University of Baltimore
A companion site to Arsham's Applied Management Science course. This introduces the simplex method for solving linear programming problems by first discussing the algebraic solution and pivoting row operations.
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 Classical Thermodynamics, Heat Transfer  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to classical thermodynamics, heat transfer: the study of the flow of heat through matter, including phase
change and combustion. Historically, the source of Fourier series. History; applications and
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 Classic Fallacies  Philip Spencer; University of Toronto Mathematics Network
Mathematical "proofs" demonstrating, among other things, that 1 = 2 and that all people in Canada are the same age. Each consists of several steps, and users search for the flaws. For every step there is explanation of why the flaw is or is not in that
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 Classic Iterated Function Systems  Larry Riddle
These pages investigate several of the classic iterated functions systems
and their associated fractals. Each IFS consists of affine transformations
involving rotations, scalings by a constant ratio, and translations. For
each example is given
* a
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 Classic Problems  Math Forum; Ask Dr. Math FAQ
Classic problems from the Ask Dr. Math FAQ (Frequently Asked Questions) files, including: age word problems, birthday probability, boy or girl?, camel and bananas, coin problems, doubling pennies, grazing animals, liars and truthtellers, the missing dollar,
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 Classification of Patterns  BrownHerbst, Donnelly, Stratton, AndersonNielsen; The Geometry Center
Materials about symmetry and classification of repeating patterns for students in grades 710 using wallpaper patterns, to be used as either an introduction or a review: a classroomready source of information. A final project created for Math 5337, Technology
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 Classification (SMILE)  Delores B. Wilburn, Shakespeare School
A lesson designed to motivate students to understand classification, and to teach decisionmaking, how certain objects relate to the number system, and the meanings of some words used to express mathematical ideas. From the Patterns and Logic section
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 Classifying Numbers  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about classifying numbers, such as "How are the different types of numbers related?" and "What is a real number?"
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 Classroom Books and Libraries: Math  Attanasio & Associates, Inc.
The mathematics selection from this vendor of classroom libraries and books, which include Big Al and Shrimpy, It's about Time, My Very First Book of Shapes, The Shapes We Eat, How High Can a Dinosaur Count?, Everyone Uses Math, Pigs on a Blanket, Underwater
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 Classroom Capsules and Notes  MAA Online
Classroom Capsules and Notes brings together the best of 114 years of the short classroom materials from the MAA print publications. These materials are free to everyone.
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 Classroom Compass  Adams, Powell, Assoc. Editors; Southwest Educational Development Laboratory
A magazine published from 1994 to 2005, with ideas, activities, and resources for teachers interested in improving instruction in science and mathematics, and links to simple classroom activities with ideas about learning and instruction. Each issue presents
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 Classroom Conversation (Learning and Mathematics)  Nicholls, Hazzard; Math Forum
In their 1993 book Education as Adventure, John Nicholls and Susan Hazzard explore students' understandings of the nature and point of school learning and the idea that students are valuable critics of the classroom curriculum and their own learning.
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 Classroom Projects  TEAMS Distance Learning, Los Angeles County Office of Education (LACOE)
A site for teachers looking for a content area project or contest for the classroom. Join a TEAMS project or browse a list of projects and contests sponsored by other organizations. Extensive list of upcoming, current, ongoing, and completed projects
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 ClassteacherCTLS
Short instructional math videos from the YouTube channel of Classteacher Learning Systems, the makers of iPerform and other interactive classroom technology: Counting Numbers, Decimal Fractions, and more.
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 ClassZone  McDougal Littell, Publishers
In ClassZone, McDougal Littell has gathered together all of its activities, interactive online resources, research links, chapter quizzes, and other materials that support its popular middle and high school mathematics textbooks, such as Integrated Math
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 Clay Mathematics Institute  Clay Mathematics Institute
The primary objectives and purposes of Clay Mathematics Institute (CMI) are to increase and disseminate mathematical knowledge, to educate mathematicians and other scientists about new discoveries in the field of mathematics, to encourage gifted students
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 Cálculo Contractivo
In Spanish: Nuestro grupo de investigación se ha propuesto compartir conocimientos con aquellas personas que estén motivadas para el estudio de la matemática o que puedan interesarse en conocer métodos no convencionales en Cálculo Numérico ó en áreas
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 Clear Educational Solutions  Calvin Leung
Product and order information for InstaGraphs, PostIt Notes® printed with a grid for use as graph paper. Also includes a student survey and suggestions for using InstaGraphs as a fundraiser.
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 Cleave Books
Teacher Resources on Line (TRoL) include downloadable grid paper; Ttiles; dictionary exercises; shapes Bingo; MisMaths, an annotated collection of innumeracy and other math mistakes in news headlines; fact sheets; tables; formulas; a mathematical vocabulary
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 CLICAL  Pertti Lounesto; Helsinki Institute of Technology, Finland
A calculatorlike Windows/DOS computer program for vectors, complex numbers, quaternions, bivectors, spinors, and multivectors in Clifford algebras, intended for researchers and teachers of Clifford algebras and spinors. CLICAL works directly on intrinsic
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 Click and Climb: Online Math Tutoring and Homework Help  ClickandClimb.com
Online math tutoring and math homework help resource. Professional tutors work with you oneonone using interactive whiteboard technology and VOIP (Skype) for audio. Tutoring is offered in grades 312 at your pace. You'll need a computer with high speed
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 Clickmazes  Gilbert, Mitchell
An extensive collection of interactive puzzles and mazes organized in the following categories: Maze gallery; Attic gallery; Maze of Life; HexaRoll; Oskar's fourbit mazes; 2D tilt mazes; Colourzone mazes; 3D tilt mazes; Tilt puzzles; NEWS and RULES;
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 The CliffHanger (MSTE)  Nicholas Exner; University of Illinois at UrbanaChampaign (UIUC)
A Java simulation of statistics and probability. From where he stands, one step toward the cliff would send poor Homer Simpson over the edge. He takes random steps, either toward or away from the cliff. At any step his probability of taking a step away
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 CLIFFORD: A Maple V (Rel. 5.1) Package for Clifford Algebra Computations  Rafal Ablamowicz
For PCs. Also available is a version compatible with Maple V R.3 and R.4. Freely available for personal use only.
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 Climate Classroom  One Million Acts of Green
This curriculum encourages students to analyze the science of global warming and its relevance to current events and their daily lives, through classroom activities, lesson plans, and family and community activities. The One Million Acts of Green Program
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 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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 CLKCalculator  Lars Kobarg
Reverse Polish notation Calcualtor is a calculator program for Windows with unit conversion and matrix calculator, functions for vectors and complex numbers, and a
function plotter.
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 CLKCalculator  Lars Kobarg
A skinnable calculator for Windows, intended for a wide range of users. Use algebraic or RPN input mode to do unit conversions, matrix calculations, complex number calculations, vectors handling and function plotting. Find constants or formulas in the
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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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 Clocks and Curvature (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
The total curvature of any surface topologically equivalent to the sphere is 4 pi. This can be seen very simply from the definition of the curvature of a region in terms of the angle of rotation when the surface is rolled around on the plane; the only
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