- Coffee Hour Problem of the Week - Matthew McMullen
Classic and "found" problems, as well as original challenges, in number theory, logical reasoning, statistics, calculus, geometry, and algebra. McMullen has posted PDFs of the PoWs, as well as their solutions, since 2007.
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- Cognitive Apprenticeship (Learning and Mathematics) - Collins, et al.; Math Forum
In a chapter entitled "Cognitive apprenticeship: Teaching the crafts of reading, writing, and mathematics," in the 1989 book Knowing, learning, and instruction: Essays in honor of Robert Glaser, Allan Collins, of BBN Laboratories, and John Seely Brown
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- Coin Flipping - Ken White
A page that allows you to gather data on virtual coin-flipping experiments. Includes access to data on past coin flipping and an article about coin flipping.
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- Coin Flipping - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about flipping coins, such as "What is the probability of getting two heads and four tails?" and "What is the probability of getting two heads on four flips of an unbiased coin?"
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- Coin Problems - Math Forum, a Classic Problem from the Ask Dr. Math FAQ
Tony has 11 more nickels than quarters. How many coins does he have if the total value of his coins is $2.65?
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- Coins and a Balance Scale - Bennett Haselton
You have twelve coins and a balance scale. One of the coins does not weigh the same as the other eleven, but you don't know if the odd coin is heavier or lighter than the others. How can you determine, in three weighings, which coin is the odd coin?
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- Coins, Art, and Math in North Bay - Ivars Peterson (MathTrek)
North Bay's Nipissing University hosted the annual meeting of the Ontario
Association for Mathematics Education, which attracted about 650 math teachers. As one of the featured speakers, I presented a talk on randomness. My examples included slot machines,
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- Colección de Juegos de Ingenio del Club Mensa - Javier García Algarra
Esta colección recoge juegos de ingenio y problemas de matemática recreativa publicados en diversas revistas de Mensa, la asociación internacional para personas con un elevado cociente intelectual. En cada problema se hace referencia
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- Colégio de Gaia, Grupo de Matematica
Math resources in Portuguese: Galeria de Sketches - a gallery of JavaSketchpad and Geometer's Sketchpad problems and sketches including the Pythagorean theorem (o Teorema de Pitágoras), Vector Addition (Adicao de Vectores), cutting a cube/parallelepiped
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- Collaborative Learning Discussion Archive - Math Forum
A special project hosted by the Math Forum, this discussion concerned collaborative learning, its definition, its effects on teachers and students, administration and assessment issues, and materials and resources. The discussion began as e-mail conversations,
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- 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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- 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 E-labs 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
Self-scoring 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 first-year 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 college-preparatory math program with a rich problem-based, 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 K-4, 5-8, and 9-12.
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- Color, Computers, and Math - Cheryl Harrigan; SCORE Mathematics
This activity looks at additive and subtractive color, light, and conversions between base 10 and base 16. Aligned to the California State Standards. From the Schools of California Online Resources for Educators SCORE Mathematics Lessons.
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- Colorful Mathematics - Claude Laflamme
An educational software series presenting advanced mathematical concepts to K-12 students in a game-oriented 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 diamond-shaped figures--one 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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- 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; One-Pile and Take-Away 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 two-player 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 teacher-designed units consisting of one to two hundred Interactive White Board (IWB) presentation slides: each of grades K-8, Pre-Algebra (available in Spanish), Algebra I (available in Spanish) and II, Geometry, Pre-Calculus, 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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- Common-Sense Questions (Learning and Mathematics) - G. Polya; Math Forum
In his 1957 book, How to solve it, Polya describes a four-stage approach to mathematical problem-solving. He bases his approach on common-sense questions that would naturally occur to an experienced problem-solver. 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 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
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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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- 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 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)
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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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