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 Andy Norton's Web Page - Dept. of Mathematics Education, Univ. of Georgia Illustrated essays and explorations of algebra and geometry using various technology, including TI-85 calculators, CBL's and computer software such as Geometer's Sketchpad (with sketches to download), Algebra Expressor, and Excel, by a grad student in ...more>> The Angle Bisectors - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A discussion of why the angle-bisectors of a triangle meet at the incenter of the triangle, in several different ways, involving: cevians, the transitivity property of equality, axes of a 2-line, altitudes and orthic triangles, and complex numbers. ...more>> 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 ...more>> 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; ...more>> Angles of Reflection - John Benson and P. J. Karafiol A back-and-forth intergenerational blog on math education, begun in January, 2011, by two Presidential Awardees in Mathematics from the state of Illinois. ...more>> Animals & Art - M. Crook A gallery of fractal images created using Ultra Fractal. ...more>> 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 ...more>> Anisohedral Tilings Page - John Berglund Tilings and tessellatings with 2-anisohedral 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 ...more>> Ankhor - Ankhor Inc. This online peer-to-peer tutoring service connects elementary and middle school students with nearby high school math tutors through their schools. Founded by Tanmay Rao while a junior in high school, the nonprofit's name combines "ankh," a Hindi word ...more>> Anna Stokke Teaching, research, and other activities of the co-founder of the non-profit Archimedes Math Schools and of the advocacy group WISE Math. See, in particular, the "advocacy & math education" tab for the mathematics professor's editorials and interviews ...more>> 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; ...more>> 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 ...more>> 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 & ...more>> The Annual Maritime Mathematics Competition - Department of Mathematics and Computer Science University of Prince Edward Island, Canada Consisting of six challenging, high school-level 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 problem-solving ...more>> 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 ...more>> 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 Pentium-powered desktop machine. Joel Armengaud, a computer programmer working for Apsylog in Paris, made the discovery on Nov. 13 and ...more>> Answer Ace - MathSupport Co. A Windows 95/98/NT math problem solver that helps students learn or review arithmetic, pre-algebra, and basic algebra skills. Students enter specific problems and the software provides answers along with step-by-step help. A free trial is available for ...more>> anthropic-principle.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. ...more>> Antiprism - Adrian Rossiter A set of programs for generating, manipulating, transforming, and viewing models of polyhedra. Open source, via the MIT license. ...more>> Ant Math (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids) Imagine stepping into a pitch-black 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 ...more>> ap-calc - 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 pre-college students preparing for AP tests, the level of discussion and the explicit relation to the college sequence may also make ...more>> 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. ...more>> 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. ...more>> 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, ...more>> AP Computer Science - College Board Online General information about exams and courses (A and AB), links to archives of free-response questions in C++, the AP CS mailing list, development committee access, related websites, and an on-line store for College Board books. Maintained by the College ...more>> Apex Learning - Apex Learning Standards-based 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 ...more>> 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. ...more>> 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, ...more>> APlusStudent Online Learning Interactive math lessons with graphics, animation, and audio, based on Micromedia Flash technology. Teacher-designed, standards-based lessons. Parents can monitor the progress of their children. There is also homework help and an online gallery where ...more>> Apogee Tutors - Vimal Patel Danbury, CT based tutoring services. We provide one-on-one tutoring, group tutoring for middle school through college students. ...more>> 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 ...more>> 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 Two-Way Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study ...more>> 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. ...more>> 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 ...more>> The Applied Probability Trust (APT) - University of Sheffield School of Mathematics and Statistics (SoMaS) Non-profit 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 ...more>> 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 ...more>> 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 ...more>> 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. ...more>> 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 hands-on ...more>> 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 concept-oriented instruction as recommended by the AP Statistics Test Development Committee. Organized into chapters, including ...more>> 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. ...more>> ap-stat - 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. ...more>> AP Test Prep Books Find an AP prep book for multiple subjects, including AP Calculus, Computer Science, Economics, Physics, and Statistics. ...more>> 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. ...more>> 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; ...more>> Arabesco - Hasan Isawi Freehand designs elaborated with Autocad and Photoshop to create arabesque images. Site is in Italian. ...more>> 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. ...more>> 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 ...more>> 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 ...more>> 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 ...more>>
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