 The Angle Defect of a Polyhedron (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
The angle defect at a vertex of a polygon is defined to be 2 pi minus the sum of the angles at the corners of the faces at that vertex. What is the angle sum for a polygon (in the plane) with n sides? Determine the total angle defect for each of the 5
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 Angles and angle terms  Mark Motyka, Math League Multimedia
Definitions and illustrations: What is an angle?; Degrees: measuring angles; Acute angles; Obtuse angles; Right angles; Complementary angles; Supplementary angles; Vertical angles; Alternate interior angles; Alternate exterior angles; Corresponding angles;
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 Angles of Reflection  John Benson and P. J. Karafiol
A backandforth intergenerational blog on math education, begun in January, 2011, by two Presidential Awardees in Mathematics from the state of Illinois.
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 Animals & Art  M. Crook
A gallery of fractal images created using Ultra Fractal.
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 Animated Proof of the Pythagorean Theorem  Mark D. Meyerson; Mathematics Dept., U.S. Naval Academy
Starting with a right triangle and squares on each side, the middle size square is cut into congruent quadrilaterals (the cuts through the center and parallel to the sides of the biggest square). Then the quadrilaterals are hinged and rotated and shifted
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 Anisohedral Tilings Page  John Berglund
Tilings and tessellatings with 2anisohedral and other isohedral tilings. With explanations and a bibliography. Berglund's JavaSketchpad applets include circles in a lattice shape; affine polygons, which extends Napoleon's theorem from a triangle to a
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 Annenberg Institute for School Reform (AISR)  Brown University
The Annenberg Institute develops, shares and acts on knowledge that improves outcomes of schooling in America, especially in urban communities and in schools serving disadvantaged children. Institute Projects: Rethinking Accountability; Building Capacity;
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 Annie's Sketchpad Activities  Annie Fetter
Handouts for activities that incorporate JavaSketchpad, including: making a presentation sketch; investigating the properties of quadrilaterals; the Euler segment; morphing a simple figure to a circle; Napoleon's theorem; drawing a box and its net; and
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 Annotated Bibliography of Software Resources (The Chaos Hypertextbook)  Glenn Elert
An extensive annotated list of software related to Elert's Chaos Hypertextbook. Major categories include: Chaos (Dynamical Systems); Iterated Function Systems (IFS); Lindenmayer Systems; Mandelbrot & Julia Sets; Music; Newton's Method; Terrain &
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 The Annual Maritime Mathematics Competition  Department of Mathematics and Computer Science University of Prince Edward Island, Canada
Consisting of six challenging, high schoollevel math problems requiring written solutions, this competition seeks to foster interest in mathematics, increase public awareness of mathematics, and encourage students to develop mathematical and problemsolving
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 Annual Pi Day  The Exploratorium, San Francisco, CA
"Founded by the the Exploratorium's own Prince of Pi, physicist Larry Shaw, Pi Day has become an international holiday, celebrated live and online all around the world." Read a brief history of pi; find activities for cutting π and wearing π; and
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 Another Record Prime  Ivars Peterson (MathLand)
This time, it didn't take a supercomputer. The new record for the largest known prime number goes to someone using a Pentiumpowered desktop machine. Joel Armengaud, a computer programmer working for Apsylog in Paris, made the discovery on Nov. 13 and
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 Answer Ace  MathSupport Co.
A Windows 95/98/NT math problem solver that helps students learn or review arithmetic, prealgebra, and basic algebra skills. Students enter specific problems and the software provides answers along with stepbystep help. A free trial is available for
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 anthropicprinciple.com  Nick Bostrom
A site on 'Anthropic reasoning', which involves concepts such as probability, objective chance, rationality, and observers. See problems like the Doomsday argument.
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 Antiprism  Adrian Rossiter
A set of programs for generating, manipulating, transforming, and viewing models of polyhedra. Open source, via the MIT license.
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 Ant Math (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Imagine stepping into a pitchblack room. How might you figure out the room's size in the dark? You could, for example, carefully follow the walls and count how many steps you took going from one corner to the next all the way around. That would give
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 apcalc  The College Board, Math Forum
The Advanced Placement Calculus mailing list is hosted by The College Board and archived by the Math Forum. Designed for precollege students preparing for AP tests, the level of discussion and the explicit relation to the college sequence may also make
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 AP Calculus Stillwater  Jim Bowen
Instructional videos narrated by Bowen, who teaches calculus at Stillwater High School (OK), cover limits, derivatives, related rate problems, optimization, integrals and integration, volumes of revolution, and integration by parts.
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 AP Calculus TI 89 Program  Nils Hahnfeld
Calculator program for the TI 89 which animates calculus concepts and computes answers. Covers the entire AP Calculus (AB & BC) curriculum. Screen shots and a list of functions available at the site, as well as documentation.
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 AP Central  The College Board's Online Home for AP Professionals  The College Board
A free site for all those involved in or interested in the AP Program, including new and experienced teachers, coordinators, counselors, college faculty, and school and college administrators, offering a growing set of resources  course descriptions,
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 AP Computer Science  College Board Online
General information about exams and courses (A and AB), links to archives of freeresponse questions in C++, the AP CS mailing list, development committee access, related websites, and an online store for College Board books. Maintained by the College
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 Apex Learning  Apex Learning
Standardsbased online curriculum for secondary education in the core academic subjects and Advanced Placement, available in multiple formats or packages to address differing purposes and populations: enrichment, credit recovery and remediation, virtual
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 APICS Mathematics Competitions  Atlantic Provinces Council on the Sciences
Download PDFs of competition guidelines or of recent APICS Mathematics Competitions in French or English. Link to competitions dating back to 1978.
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 Aplusix: Software for Learning Algebra
Software for helping students learn algebra. In English, French, Portuguese. Includes classical exercises and word problems, with various levels of assistance. It contains 400 patterns of exercises for numerical calculation, expansion, factorization,
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 APlusStudent Online Learning
Interactive math lessons with graphics, animation, and audio, based on Micromedia Flash technology. Teacherdesigned, standardsbased lessons. Parents can monitor the progress of their children. There is also homework help and an online gallery where
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 Apogee Tutors  Vimal Patel
Danbury, CT based tutoring services. We provide oneonone tutoring, group tutoring for middle school through college students.
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 Appealing Numbers  Ivars Peterson (MathTrek)
A short history of amicable numbers  pairs in which each number is the sum of the proper divisors of the other. The smallest such pair is 220 and 284. The number 220 is evenly divisible by 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which add up to
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 Appetizers and Lessons for Math and Reason  Alan Selby
Logic Appetizers to test or or improve reading, writing and thinking skills, with definitions, concepts and proofs in many subjects (Chains of Reason; One or TwoWay Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study
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 Applications and Misapplications of Cognitive Psychology to Math Education  Anderson, Reder, Simon
A critical view of constructivism by three leading cognitive psychologists at Carnegie Mellon University. Decomposition and decontextualization; situated learning; constructivism; recommendations for research and instruction; overall conclusions; references.
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 Applications of Imaginary Numbers in the Real World  Bradley Chung
An exploration of typical questions about imaginary numbers, such as "Can you show me examples of imaginary numbers in the real world?" and "Are there any practical applications of imaginary numbers?" Lessons include "Mapping Imaginary to Physical"; "Complex
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 The Applied Probability Trust (APT)  University of Sheffield School of Mathematics and Statistics (SoMaS)
Nonprofit foundation for study and research in the mathematical sciences. It publishes research journals, a student magazine and occasional special volumes. The APT has been associated with the University of Sheffield School of Mathematics and Statistics
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 Apprendre Maple  Alain Le Stang
Site en français dédié au logiciel de calcul formel Maple.
Vous y trouverez un cours complet, des exercices corrigés, et des thèmes d'approfondissement. Un moteur de recherche interne ainsi qu'un forum de discussion
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 Approaches to WWW Mathematics Documents  Ian Hutchinson
A brief summary, including some personal critiques, of different approaches to publishing mathematical documents on the World Wide Web. Treatment organized into five generic types: graphical page display (Adobe Acrobat and the .pdf file format), native
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 Approximating the area of a unit circle with regular polygons  Lisa Markus; Furman University, Greenville, SC
A Java applet for the area of a circle of radius 1. Enter the number of sides, from 3 to 1000, draw the polygon, and see the corresponding area.
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 AP Statistics  BB&N Upper School
A course from the Buckingham Browne & Nichols School. Advanced Placement Statistics acquaints students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data, featuring work on projects involving the handson
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 APStatistics Dissertation  Kim Robinson, Clayton College & State University
A qualitative research study focused on students' learning and their performance on the Advanced Placement Exam with respect to conceptoriented instruction as recommended by the AP Statistics Test Development Committee. Organized into chapters, including
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 AP Statistics Listserv FAQ  Kim Robinson, Jared Derksen, Dan Teague
Frequently Asked Questions site for the AP Statistics listserv discussion. Includes information for new AP Stats teachers, course content, exam details, and other resources.
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 apstat  The College Board, Math Forum
A list for prospective teachers and others involved in the development of the Advanced Placement Statistics Examination. Read and search archived messages.
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 AP Test Prep Books
Find an AP prep book for multiple subjects, including AP Calculus, Computer Science, Economics, Physics, and Statistics.
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 APY Calculator
Online calculators that convert annual percentage rate (APR) to annual percentage yield (APY) and vice versa (for certificate of deposit and savings account); and that calculate the real APR of a mortgage with points, origination fees, and closing costs.
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 Aquí Matemàtiques (Catalán)  Carlos Romero
Web and interactive materials in Catalán designed to facilitate and improve teacher training in mathematics. Goals: to provide curricular incentives for integrating technology into primary and secondary level teaching; facilitate access to curricula;
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 Arabesco
 Hasan Isawi
Freehand designs elaborated with Autocad and Photoshop to create arabesque images. Site is in Italian.
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 Arabic Mathematics  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Resources on the history of Arabic mathematics, with a map, a list of mathematicians, sources, and a Bibliography.
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 Arabic mathematics: forgotten brilliance?  MacTutor Math History Archives
Linked essay exploring the debt we owe to Arabic/Islamic mathematics. In many respects the mathematics studied today is far closer in style to that of the Arabic/Islamic contribution than to that of the Greeks. Certainly many of the ideas previously thought
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 Arabic Numerals (Islam and Islamic History)  Nawwab, Speers, Hoye; Arabian American Oil Co.
The system of numeration employed throughout the greater part of the world today was probably developed in India, but because it was the Arabs who transmitted it to the West, the numerals it uses have come to be called Arabic. This page shows the early
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 The Arabic numeral system  MacTutor Math History Archives
Linked essay exploring the transmission of Indian numerals first to the Arabic/Islamic peoples and from them to Europe. The eastern and western parts of the Arabic world (North Africa and Spain) both saw separate developments of Indian numerals with relatively
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 Arbelos Internet Math Society  Bert Liberi and William F. Widulski, Westchester Communtiy College
A mathematics society dedicated to the pursuit of elegance in problemsolving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problemsolving,
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 Archimedes' Book of Lemmas  Alexander Bogomolny
Archemedes' Book of Lemmas included fifteen propositions. They are listed here, each with its own Java illustration and complete proof.
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 Archimedes  Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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 Archimedes' Laboratory  Gianni A. Sarcone and Marie J. Waeber
Archimedes' Laboratory invents, creates, and develops handson thinking games which help teach mathematical applications. They also create and manufacture original educational manipulatives and puzzles to support promotional activities. The resources
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