 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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 Collaborative Mathematics  Jason Ermer
Videos for connecting "a worldwide community of mathematical problem solvers" and "cultivating a productive attitude toward challenging problems: one of creativity, resourcefulness, selfconfidence, and perseverance." Two and threeminutelong challenges
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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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 A Collection of Applets  Sione Palu
Java applets for classroom use. Those created so far include: Polynomial Roots; Frequency Distribution; Completing the Square; Polynomial Fitting; Statistical Analysis; Number Works; and Polynomial Differentiation. Read about Palu's background and educational
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 A Collection of Assessment Strategies  Alaska Department of Education & Early Development
Each section of this page describes and analyzes a particular type of assessment strategy, then lists sources of further information. Following those discussions, samples show how each type of strategy might be used at various grade levels. The given
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 A Collection of JavaScript Elabs Learning Objects  Hossein Arsham
A basic calculator for numerical experimentation, as a learning tool for the fundamental mathematical concepts and functions (as students do in, e.g. Physics labs.) Includes powers, exponents, square roots, factorials, trig functions. Link to further
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 College Algebra  Marsha Austin, Oklahoma City Community College
A college algebra course to provide students with an understanding of the general concepts of relation and function and specifically of polynomial, exponential, and logarithmic functions; with the ability to solve system of equations by utilizing matrices
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 College Algebra Online  University of North Carolina, Wilmington
An introduction to the online version of the College Algebra course offered by Jeff Brown at UNCW. Information on the course content and structure is available here. Guests may view selected lessons from the course, with Java interactive activities, illustrations,
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 College Entrance Exam Math Prep  EduCAD
A free, interactive library of the most complex math problem types found on the SAT® or ACT® college entrance exams. The "show next step" button provides a hint about the strategy to take; a correct answer submitted with the "check answer" button
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 College Math Prep for High School Students  C. J. Kentler and V. S. Manoranjan, Washington State University
Selfscoring problems, new with every click, to gauge a student's preparedness for college level math: operations, solving for a variable, solving linear equations, word problems, solving absolute value equations, solving inequalities, distance between
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 College Physics for Students of Biology and Chemistry  Kenneth R. Koehler
A hypertextbook written for firstyear undergraduate physics students, emphasizing human physiology and how the physics of the system affects its chemical and biological behavior. Nine chapters, with problems, cover mechanics, fluids, electricity, magnetism,
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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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 Colm Mulcahy
Blog by a recipient of the Mathematical Association of America's Allendoerfer Award for excellence in expository writing. Posts, which date back to October, 2012, have included "Weak Math? Try Math Week!" and "Oranges and Apples Comparisons: The Roots
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 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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 #commoncore Project  Supovitz, Jonathan; Daly, Alan J.; and del Fresno, Miguel
How are social mediaenabled social networks changing the discourse in American politics that produces and sustains social policy? This interactive website examines the Common Core State Standards (CCSS) debate through the lens of Twitter and the #commoncore
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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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