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 Next in Line - Ivars Peterson (MathLand) Number sequences present all sorts of intriguing puzzles and patterns. Consider the sequence of counting numbers: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 .... Now, take out every second number, leaving: 1 3 5 7 9 11 13 15 ...; form the cumulative totals ...more>> Nils Ahbel - Deerfield Academy, Deerfield, MA Access Ahbel's Blackboard courses as a guest to preview his teaching resources and download Excel files in algebra, functions, statistics, and trigonometry. ...more>> Nine Primes in a Row - Ivars Peterson (MathTrek) ...number aficionados Harvey Dubner of New Jersey, Paul Zimmermann of INRIA Lorraine in France, Tony Forbes of Great Britain, and Nik Lygeros and Michel Mizony of Claude Bernard University in Lyon, France, mounted a campaign and solicited computational ...more>> Numeric Tests Solver - The IQ Challenge Enter an integer sequence, and this program attempts to determine the next number in the sequence. It is based on artificial intelligence algorithms. ...more>> Occam Press - Peter Schorer "The skeptical mathematician is invited to improve upon the current implementations of the 3x + 1 strategy...." In addition to the Collatz conjecture, Schorer offers a simple proof of Fermat's Last Theorem, articles on Occam's Razor and programming, ...more>> Pages Mathématiques - Lycée de Vienne Saint-Romain-En-Gal (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; ...more>> Pascal's Triangle using Clock Arithmetic - Jay's Corner Exploring Pascal's triangle when the modulus is a prime; when the modulus is a power of a prime; and when the modulus has at least two different prime divisors. From mod 2 to mod 12, illustrated. (See also Part II.) ...more>> Pi Squared over Six - Clive Tooth "This value, (pi^2)/6, seems to crop up quite often in mathematics. I think that most of these occurrences can be traced back to the fact that it is the sum of the reciprocals of the squares of the positive integers...." See the first 500 decimal places ...more>> Playing with Ruth-Aaron Pairs - Ivars Peterson (MathLand) On April 8, 1974, Henry (Hank) Aaron hit his 715th major league home run, surpassing the previous mark of 714 career home runs long held by baseball great Babe Ruth. Understandably, the event received considerable coverage in newspapers and magazines ...more>> The Precalculus Page Lesson plans and staff development activities with a problem-solving approach to precalculus, with materials on logarithms, the binomial theorem, and the law of sines, and problems (without answers) on algebra, exponential and logarithmic functions, other ...more>> Prime Gaps - Ivars Peterson (MathLand) A prime is a whole number (other than 1) that is evenly divisible only by itself and 1. That simple definition leads to following sequence of numbers: 2, 3, 5, 7, 11, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 89, 97, 101, and so ...more>> A Prime Surprise - Ivars Peterson (MathTrek) Many of the 100 or so people who had helped with the nine-prime effort immediately signed up for the new quest and began checking numbers. To everyone's surprise, Manfred Toplic (the same!) set the new record, reporting on March 2 that he had found 10 ...more>> Prime Talent - Ivars Peterson (MathTrek) Whole numbers have all sorts of curious properties. Consider, for example, the integer 1998. It turns out that 1998 is equal to the sum of its digits plus the cubes of those digits (1 + 9 + 9 + 8 + 13 + 93 + 93 + 83). What's the largest number for which ...more>> Prized Geometric Logic - Ivars Peterson (MathTrek) Computer programs can handle all sorts of data [such as] a set of discrete elements, such as temperatures. Some elements of a set may be larger in value than others, or they may exhibit some other relationship that allows you to rank them or put them ...more>> Problem of the Week - Purdue University A panel in the Mathematics Department publishes a challenging problem once a week and invites college and pre-college students, faculty, and staff to submit solutions. Solutions are due within two weeks from the date of publication and should be sent ...more>> Problem of the Week - Steven Locke; Dept. of Mathematical Sciences, Florida Atlantic University Problems in set theory, sequences, and series, with archives dating back to November, 2003. Locke offers a reward for the FAU student who submits the best solutions. ...more>> Project Interactivate - Shodor Education Foundation, Inc. Interactive middle school lessons on number and operations, geometry and measurement, functions and algebra, and probability and statistics. They feature: online activities (illustrative Java applets including: Venn diagrams; clock arithmetic; Pythagorean ...more>> Purplemath - Your Algebra Resource - Elizabeth Stapel Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics, ...more>> Rechneronline - Jürgen Kummer Online mathematics calculators for geometric figures and bodies; statistics; checksum; golden ratio; averages and other measures of central tendency; prime factorization; logarithms; probability; trigonometry; graphing functions; linear algebra; combinatorics; ...more>> The SeqFan Mailing List - Olivier Gérard A mailing list for FANs of Integer SEQuences, bilingual in French and English, with a French acronym: Suites Entières: Questions, Formules, Analyse, Nomenclature, which translates as Problems, Formulas, Analysis, and Inventory of Integer Sequences. ...more>> Sequence Cracker - Aleksandar Jus A free Android app that challenges you to provide the next digit, given a sequence of numbers. ...more>> The SET Home Page - Magliery, Weeks A page "dedicated to the entertaining and highly addictive game of SET." The object of the game is to identify a 'Set' of three cards from 12 cards laid out on the table. Each card has a variation of the following four features: color, symbol, number ...more>> Solitaire-y Sequences - Ivars Peterson (MathTrek) Solitaire on the computer screen - called Klondike or Idiot's Delight, this form of solitaire has resisted mathematical analysis. Partly because Klondike involves player choice, no one has yet been able to construct a mathematical model of the game from ...more>> Solve My Maths - Ed Southall Blog of "puzzling questions that purposefully minimalise the amount of information explicitly given," written by the author of Yes, but Why? Teaching for Understanding in Mathematics. Posts by the University of Huddersfield maths education specialist's ...more>> Strategies for Finding Sequences - Math Forum, Ask Dr. Math Common Question A selection of answers to questions about strategies for finding sequences, such as "Write an expression to find the nth term of the following sequence: 3, 9, 18, 30, 45..." and "Find the following 2 terms and a formula for the nth term." ...more>> There exist triangular numbers that are also square - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny Inspired by a message sent in by Chris Whitrow, this page enumerates the set of infinite numbers that are concurrently triangular and square, and defines a recurrence relation for generating them. ...more>> Three Skills For Algebra - Alan Selby This book describes three skills key to the algebraic way of writing and thinking, offering a first image of mathematics beyond arithmetic. It also describes the first elements of logic or rule-based reason, needed in all disciplines for writing or a ...more>> Uncle Bob's Puzzles - Robert & Claire Mead, Haverhill, NH, USA Math and logic problems (no solutions); if you have questions, want a hint, or want to submit a solution you're invited to email the author. Asterisks indicate greater difficulty: Blind Cowboy; A Game of Catch; The Next Three; Grandpa's Birthday; Square ...more>> University of South Carolina High School Math Contests - David Sumner Problems from the University of South Carolina (USC) High School Math Contests, since 1994. Walk step by step through illustrated solutions to each problem using the "next step" button. The delivery of questions is designed for competitive timing. Also, ...more>> Visualizing An Infinite Series - Cynthia Lanius This lesson uses a trapezoid successively divided in 4ths as a visual representation of an infinite geometric series, a mathematical concept that is often only treated symbolically. Explorations are outlined for investigating a number of series, and links ...more>> A Whale of a Tale - Dive into Math - INNOVA Multimedia Ltd. Three online math lessons (Addition, Super Sea Sets, Symmetry) for ages 5-9, from INNOVA Multimedia's "A Whale of a Tale" series. Shockwave (required) activities offer ways for children to visualize and manipulate concepts. ...more>> Winning Partitions - Ivars Peterson (MathLand) The simple idea of partitions has developed into a significant branch of number theory. Indeed, "any time the number of ways of writing a number as the sum of other numbers arises, the theory of partitions can't be far off," says number theorist George ...more>> Zimaths - University of Zimbabwe An electronic maths magazine with clever, amusing articles written to supplement the resources available to Zimbabwean students, most of whom do not have access to extra-syllabus information. Features include: How number plates and ISBNs work; Statistical ...more>>
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