 Colorado Model Content Standards for Mathematics
A detailed description of the model content standards for mathematics that were adopted in Colorado in 1995. Standards are provided with an explanation, a rationale, and specific information about the expectations of students in grades K4, 58, and 912.
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 Colorful Mathematics  Claude Laflamme
An educational software series presenting advanced mathematical concepts to K12 students in a gameoriented approach. The five games offered use simple coloring and/or drawing techniques to illustrate mathematical concepts from graph theory. Downloadable
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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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 Coloring (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on coloring problems, including the Four Color Theorem and other graph coloring problems.
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 Color Mathematics  Erwin Gelber
High school math software for algebra, geometry, and vectors  includes a graphic calculator, an equation solver, and more. Uses a color system for improved memory.
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 Colors of Math  Ekaterina Eremenko Films
Credits, still images, and trailer of a documentary film that features six mathematicians discussing math "in the context of the five senses" of sight, sound, smell, taste, and touch. The Courant Institute of Mathematical Sciences New York University
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 Columbus State University Math Contest  David Rock and Doug Brumbaugh, College of Education, Columbus State University
Problem of the Week, Algebra in Action, Middle School Madness and Elementary Brain Teaser  all available in "challenge" mode. Past problems are archived, with solutions available upon request.
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 Combinatorial Games  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of interactive combinatorial games, many implemented in both normal and misère versions, including by Kayles, Nimble, and Northcott; variants of Nim, such as Wythoff's Nim; OnePile and TakeAway games; a subtraction game, a fraction
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 Combinatorial Game Theory  David Eppstein, Theory Group, ICS, UC Irvine
A list of links to materials on the Web. Combinatorial Game Theory studies strategies and mathematics of twoplayer games of perfect knowledge such as chess or go (but often either concentrating instead on simpler games such as nim, or solving endgames
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 Combinatorial Geometry (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material consisting of problems in which one starts with a geometric figure (say a polytope) but then considers abstract incidence properties of it rather than its metric properties. Most tiling and coloring problems
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 Combinatorial Object Server (COS)  Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation pages: permutations, combinations, various types of trees, unlabelled graphs, linear extensions of posets,
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 Combinatorics (Graphics Archive, Special Topics)  The Geometry Center
Enumeration problems, and other problems involving counting, including meanders.
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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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 Combining Science and Mathematics in the Classroom Using Spreadsheets  Dawn M. Laning
A lesson plan involving the use of spreadsheets to investigate data analysis techniques with a set of data gathered in a chemistry experiment. Writeup from a class in mathematics education given by J. Wilson at the University of Georgia, fall 1997.
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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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 A Common Book of Pi  Neal Carothers
A brief history of extended precision approximations of pi, including Archimedes' method for estimating pi, a proof that pi is irrational, a page full of formulas used to estimate pi over the centuries, and a brief look at a modern algorithm used to compute
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 Common Core Math  New Jersey Center for Teaching & Learning
Freely downloadable teacherdesigned units consisting of one to two hundred Interactive White Board (IWB) presentation slides: each of grades K8, PreAlgebra (available in Spanish), Algebra I (available in Spanish) and II, Geometry, PreCalculus, AP
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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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 Common Core State Standards Initiative  Common Core State Standards Initiative
The Common Core State Standards aim to provide a consistent, clear understanding of what students are expected to learn, so teachers and parents know what they need to do to help them. The standards are designed to be robust and relevant to the real world,
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 CommonSense Questions (Learning and Mathematics)  G. Polya; Math Forum
In his 1957 book, How to solve it, Polya describes a fourstage approach to mathematical problemsolving. He bases his approach on commonsense questions that would naturally occur to an experienced problemsolver. Polya claims teachers should pose these
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 Communicating Mathematical Expressions on the WWW  Ping
A semantic expression notation known as MINSE (a MediumIndependent 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
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 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
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 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
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 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.
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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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 Compasswallah
Hoping to "exhume the analog geometry of ancient discoveries for a confrontation with the digital age," Compasswallah analyzes and looks at the history of astronomy, surveying, geodesy, cartography, geomagnetism, geometry, scientific instruments, analog
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 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.
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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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 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.
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 Complex Analysis (Graphics Archive, Special Topics)  The Geometry Center
Research involving maps of one or more complex variables.
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 Complexification  Jared Tarbell
View interactive, open source Java applets of fractals and other mathematically significant graphics.
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 The Complexity of Geometric Constructions  François Labelle
Efficient constructions with straightedge 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
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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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 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.)
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 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 crossproducts, the cosine law, and a converse to the Pythagorean theorem. A geometric
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 Complex number to a complex power may be real  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A proof using Euler's formula.
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 Complex, Technology Based Problems in Calculus  Math Department, RoseHulman 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: antidifferentiation, data fitting, difference equations, differential equations, and
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 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 precollege complex variables. Complex Numbers: Basic Definitions and Arithmetic, The Complex Plane, The Polar Form
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 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,
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 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
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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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 Comprehensive School Mathematics Program (CSMP)  Midcontinent Regional Educational Laboratory (McREL)
A K6 mathematics curriculum from the Midcontinent 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;
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 Compressible Aerodynamics Calculator  William J. Devenport
Computes the standard relations for compressible flow of a perfect gas.
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 comp.softsys.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.
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 comp.softsys.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
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 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.
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 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
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 Computational Geometry (Graphics Archive, Special Topics)  The Geometry Center
Understanding algorithms that solve problems in Geometry.
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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 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
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