 Monty Hall Dilemma  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A full discussion (including simulation) of the famous "three doors" problem, also known as the Game Show problem.
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 The Monty Hall Trap  Jim Loy
What's the right answer? A simple description of the problem and whether to stay with your first choice, or switch.
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 MOTIVATE  Univ. of Cambridge, UK
MOTIVATE is a project incorporating a series of videoconferences, run by the Millennium Mathematics Project at Cambridge. The objectives of MOTIVATE are: to enrich the mathematical experience of school students, to broaden their mathematical horizons,
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 Mozart's Musikalisches Würfelspiel: A Musical Dice Game for Composing a Minuet  John Chuang
During his life, Mozart wrote the measures and instructions for a musical
composition dice game that cuts and pastes prewritten measures of music together to create a minuet. Compose a minuet online in one of three ways: CGI generates all random numbers,
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 Mr. Hoffman's Home Page  Jim Hoffman
Assignments, notes, exams and interactive vocabulary quizzes (with answer keys) from Hoffman's own math and twodimensional computer animation high school classes. These materials are based on Saskatchewan Provincial Curriculum, and include Math 9, Math
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 Mrs. Glosser's Math Goodies  Gisele Glosser
Interactive math lessons that work online and offline in a Web browser, and provide immediate feedback to students, with in addition Worksheets (on circumference and area; exponents; expressions and equations; integers; Ocean Math; order of operations;
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 MSTE Java  University of Illinois at UrbanaChampaign (UIUC)
Javabased activities submitted to MSTE, the Office for Mathematics, Science & Technology Education at UIUC. Topics include: best fit; box perimeter; Buffon's needle; CAD viewer; cereal box problem; chisquared test analysis of random marbles; cliff
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 Mudd Math Fun Facts  Francis E. Su; Mathematics Dept., Harvey Mudd College
A site developed as a resource for professors wishing to enrich their courses with mathematical 'fun facts': more than 100 5minute math tidbits that can be used at the beginning of class to get students interested in mathematics. They are best used in
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 Murderous Maths  Kjartan Poskitt et al.
Contents, descriptions of characters, updates, and "extra bits" for the books Murderous Maths; The Essential Arithmetricks; Desperate Measures; Do You Feel Lucky?; Vicious Circles and other Savage Shapes; The Phantom X; The Fiendish Angletron; The GCSE
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 Music and Probability  Lorraine Fielding
A middle school's music project based on the Mozart Musical Dice Game, invented by Mozart around 1770, in which dice rolls generate twelvetone or diatonic minuets. Links to a web version of Mozart's game, using MIDI technology; and movie, audio files
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 Musing Mathematically  Nat Banting
Thoughts from a high school mathematics teacher on the teaching of mathematics, and the learning of mathematics. Posts, which date back to May, 2011, have included "Playing with Mean, Median & Mode," "Attaching a 'Why' to the 'How," "The Mathematics
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 National Library of Virtual Manipulatives for Interactive Mathematics (NLVM)  Cannon et al., Principal Investigators; Utah State University
Java applets and other virtual manipulatives cover mathematics appropriate to grades K12, with a special emphasis on K8. Browse by grade band or by math topic: number and operations, algebra, geometry, measurement, and data analysis and probability.
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 Nautilus  Nautilus Ventures LLC
An online and print monthly dedicated "to science and its endless connections to our lives." Each issue contains chapters — essays, investigative reports, blogs, fiction writing, games, videos, graphic stories, and other original content —
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 NCTM Standards (Standards 2000)  National Council of Teachers of Mathematics (NCTM)
NCTM's Principles and Standards for School Mathematics is the compilation of the lessons learned and experiences gained over the years since the 1989 Standards were released. The site features include: an online version of the Standards (including illustrations,
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 NECTAR Foundation: New Era Classroom, Technology and Research
A nonprofit foundation specialising in the development and marketing of educational software in the kindergarten to grade 12 program with a focus on mathematics software programs. It also develops and markets print, video, and audio materials for students
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 New Directions in Pedagogy in Other Courses  Mathematics Education at the Math Forum
Examples of mathematics courses being revised in the light of new approaches to pedagogy: articles and presentations at conferences in probability and statistics; precollege algebra; linear algebra; abstract algebra, and differential equations.
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 New York Journal of Mathematics (NYJM)  Mark Steinberger, Editor in Chief
Fully searchable research and universitylevel articles, such as "A Mathematical Theory of Origami Constructions and Numbers." With instructions for authors.
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 New York Regents Exam Prep Center  Oswego City School District
A site dedicated to assisting high school students in preparing for the "new" New York State Math A Regents Examination. Covers Algebra, Geometry, and Algebra II/Trig. The materials featured for each topic include: general review/formula sheet, Regents
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 New Zealand Mathematics  Ministry of Education, New Zealand
Units and lesson plans organised by level and curriculum strand, in Maori and English, focusing on solving problems. Topics address levels 16 of the New Zealand mathematics curriculum and include probability, statistics, measurement, and geometry.
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 Now College  Online Math Courses and Tutorials  Now International
An online learning company. Products are designed with video instruction, "realtime" whiteboard handwriting, graphics, animations, graphs, tables, and math notation. A complete highschool math program is planned. Currently, courses in trigonometry
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 NRICH Maths, the Online Maths Club  Univ. of Cambridge, UK
A project that aims to establish a permanent national centre for curriculum enrichment to provide mathematical learning support for very able children of all ages. The learning and enjoyment of mathematics are promoted through an Internet Newsletter and
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 Numberplay  The New York Times
Mathematical, logical and scientific puzzles, with solution "recaps." The posts, by Gary Antonick and Pradeep Mutalik, have included "Surreal Hat Tricks," "The Puzzles of Pickover," "Prime Rib at Hogwarts," "Nim for (a) Change," "Phi  The Magic and the
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 Numeracy in the News  The Mercury/University of Tasmania
Newspaper articles collected from the Tasmanian (Australia) metropolitan daily newspaper, The Mercury, to represent the five areas of the Chance and Data curriculum (Data Collection and Sampling, Data Representation, Chance and Basic Probability, Data
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 Odds vs. Probability  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about odds and probability, such as gambling odds, probabilities in games of chance, and the difference between the terms "odds" and "probability."
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 Oliver Knill
Research, teaching, and media by this preceptor in Harvard's math department. Knill began in dynamical systems, tackling first ergodic and spectral theoretical questions, then probability theory and elementary number theory. This led to his "passion for
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 Online Resources  Georgia Tech School of Math
Syllabi, course notes, problems, and Maple worksheets for single and multivariable calculus, linear algebra, statistics, and a Math for Management course (statistics, probability, sets, and some calculus). The site also contains sample exams for calculus
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 OpenEnded Assessment in Math  Cooney, Thomas J.; Sanchez, Wendy B.; Leatham, Keith; and Mewborn, Denise S.
Over 450 openended, fieldtested assessment items, distributed more or less equally among elementary, middle school, and high school grade levels. The questions relate to five major content areas, based on the NCTM Standards: number and operation; probability
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 OpenEnded Math Problems  Gwenn Holtz and Mary Lee Malen, Levering School and the Franklin Institute
An eightmonth slate of openended problems for middle school students to solve in preparation for standardized testing. The authors have composed and selected problems that lend themselves to multiple solution paths, and then organized them into three
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 OpenMathText.org  David A. Santos, Alain Schremmer
OpenMathText.org is a depository of free, downloadable texts and is primarily dedicated to the specification, development, and dissemination of free, editable and downloadable mathematical texts aimed, mainly, at "just plain folk." OMTo invites registrants
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 OpsResearch  DRA Systems
A collection of Java classes for developing operations research programs and other mathematical applications. The site includes documentation and tutorials, and software download is free. Also features a bookstore and related links.
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 ostermiller.org  Stephen Ostermiller
Converters, Calculators, and JavaScript include Multiplication Game, in which letters represent digits in a multiplication problem; Length, which converts between units of length and distance; Roman Numerals, which converts between Arabic and Roman numerals;
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 Pages Mathématiques  Lycée de Vienne SaintRomainEnGal (académie Grenoble)
Une série de cours de mathématiques: Géométrie du triangle; Transformations; Géométrie des cercles; Barycentres; Coniques et courbes; Solides; Statistiques; Fractales; Géométrie non euclidienne;
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 Papers on the History of Mathematics  Gregory Cherlin, Rutgers University
A random selection of term papers submitted in undergraduate, onesemester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton
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 Pascal's Triangle  Math Forum, Ask Dr. Math FAQ
What is Pascal's Triangle? How do you construct it? What is it good for?
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 Passy's World of Mathematics
Lesson outlines by this Australianborn math teacher include Venn diagram word problems, combining like terms, translate word equations, and isometric drawing and 3d cubes; PowerPoint presentations include traversable networks, sharing using ratios, real
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 Pat Thompson's Home Page  Patrick W. Thompson
Research on students' development of algebra and calculus ideas in grades 316, on the nature of multiplicative reasoning and its role in learning sophisticated mathematical ideas, and on teaching and learning statistical and probabilistic reasoning.
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 Pearson Learning  Dale Seymour Publications
A leading publisher of educational materials, emphasizing math, science, and the arts. The site contains: an online catalog; math curricula include: CMP (the Connected Mathematics Project) and Investigations (Investigations in Number, Data, and Space,
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 A Penny Surprise  Ivars Peterson (MathTrek)
Flipping a coin in the air, catching it, then determining whether it has come up heads or tails is to many people a prototypical random process. In some sense, however, coin tossing isn't really random at all. A mechanical gadget can flip a properly positioned
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 Perplexus  flooble
A large archive of mathematically inclined puzzles and problems displayed by category. Includes logic, number theory, geometry, probability and other problems. All are rated by difficulty and quality and discussed in depth by visitors. Most with solutions.
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 Peter Ash's Thoughts on Math and Education  Peter Ash
Musings on doing and teaching mathematics, book reviews, and math problems both elementary and advanced from the creator of Cambridge Math Learning. Blog posts, which date back to August of 2007, include "Very Proper Fractions"; "Physical Models for NonEuclidean
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 Peter Doyle  Mathematics, Univ. of California at San Diego
Advanced tutorials, proofs and papers, mostly statistics, probability, geometry, and graph theory, but with examples from other mathematics areas as well. Don't miss Dr. Doyle's Flip Flops.
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 Phenomenological Probability (SMILE)  Robert Foote, Disney Magnet School
A lesson for grades 68 designed to find the difference between theoretical and experimental probability in three different experiments: rolling dice, using marbles and a spinner, and through a card trick. From the Probability and Statistics section of
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 Physics Forums
Discussions emphasize physics, but "PF" also includes an entire directory on mathematics: General Math; Calculus & Analysis; Differential Equations; Linear & Abstract Algebra; Topology & Geometry; Set Theory, Logic, Probability, and Statistics;
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 Picking Winners  Ivars Peterson (MathTrek)
One of the attractive features of spectator sports is the uncertainty of the outcome. Even when one team is overwhelmingly favored to win, the underdog may still come through with a surprising victory. Nonetheless, the ability to pick winners can be of
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 PlaneMath  InfoUse, in cooperation with NASA
Materials for elementary school students about math and aeronautics, designed to stimulate and motivate students with physical disabilities in grades 47 to pursue aeronauticsrelated careers via the development and delivery of accessible math education
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 Planetqhe (Probabilistic Learning Activities Network)  David Kay Harris
Outoftheordinary probability problems. The site focuses on using methods of probability to solve counterintuitive problems and deepen students' understanding and competence in the domain. Sections include: a brief history and rationale of the site;
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 Poisson Pit: Poisson Probability Calculator  Chuck Anesi
Variously called the Poisson Distribution, Poisson Law of Large Numbers, or Poisson Distribution for Rare Events, the probability function for this discrete distribution of one parameter is given on this site. The Poisson distribution is usually employed
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 Poker Probabilities  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about poker probabilities, such as "In a standard deck of cards, how many different ways are there to get a straight, a flush, a straight flush, one pair, or two pairs?"
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 Polymath Love  Gary Smith
Free and lowcost Macintosh software for middle school mathematics: over
200 programs written by a classroom teacher. Program descriptions and some free programs are available to download from the Web, or order the CDROM for $100 U.S., which includes
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 The postIMO97 web page  Olimpíada Matemática Argentina
Problems and results from the math olympics held in Argentina in July, 1997. Available in English and Spanish, with problems also in French, Russian, German, and a host of other languages.
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