 Too Much to be a Coincidence? (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: In the September ACBL Bridge Bulletin, Noreen Wurdemann of the Bahamas reports that the two bridge hands below were dealt out at her club. She says that she is "100% certain there was no hankypanky." What is the probability of
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 Toothpick Puzzle: a Math Line Puzzle  Math Forum
Starting with the configuration shown, move exactly two toothpicks to form four 1x1 squares. You must use all the toothpicks, without any overlap. The final product will consist of exactly four squares, all the same size as the five in the original configuration.
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 Top 100 Mathematics Software  Adam Testad, Kuala Lumpur, Malaysia
A top 100 list of mathematics software: shareware, freeware, payware, some hardware, and some Web sites. A selection from over 24,000 products with references to download sites, suppliers page, and PC literature references.
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 Top Grade Tutoring  Steven Britton
Top Grade Tutoring provides maths tuition for students aged between 1116 in the Halesowen, Stourbridge, and Hagley areas of the West Midlands, UK.
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 Topical Index of Internet Resources (The Chaos Hypertextbook)  Glenn Elert
An extensive list of links to sites related to Elert's Chaos Hypertextbook. Major categories include: Chaos (Dynamical Systems); Dimension; FAQs; Feigenbaum Constants (Bifurcation Diagrams); Fractals; Image Compression; Iterated Function Systems (IFS);
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 Topics in Advanced General Relativity  Sergei Winitzki
This is a course in advanced General Relativity. An introductory course of general relativity is assumed as a prerequisite. Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic
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 Topics in Arithmetic and Elementary Mathematics  E. Lee Lady; University of Hawaii
Materials used in a university course for prospective elementary school teachers, to teach them how to be interested in mathematics. Materials are in PDF and DVI, and include: representing numbers in other bases, divisibility tests, periodic decimal expansions,
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 Topics in Calculus  Alan Cooper, Dept. of Mathematics & Statistics, Langara College
Calculus resources for college students: a topicbytopic guide to Webbased materials. Topics include: Precalculus review; limits and continuity; derivatives; approximation; antiderivatives; integration; infinite series; parametric equations; polar coordinates;
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 Topics in Calculus  E. Lee Lady; University of Hawaii
Files in PDF, DVI, and Postscript formats, to help students learn to use calculus in applications and to have confidence in setting up formulas using derivatives and integrals. Contents include: a conceptual approach to applications of integration, maxmin
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 Topics in Geometry  Don Shimamoto, Swarthmore College
Six sketches related to hyperbolic geometry. One illustrates that hyperbolic reflection in the Poincare disk corresponds to Euclidean inversion. Two sketches illustrate transformations that may or may not be hyperbolic rotation and translation. One sketch
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 Topics in High School Mathematics  Martin Cohen
Lesson ideas on geometric series, mathematical induction, Pythagorean triples, combinatorics, continuity, modular arithmetic, rotations and revolutions, and more.
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 Topics in Integral and Differential Calculus  Teresinha Kawasaki
Interactive, illustrated introductions to polynomial functions, trigonometric functions, exponential and logarithmic functions, the derivative, differentiation formulas and the chain rule, differentiating trigonometric functions, maxmin problems, integration,
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 Topics in Mathematical Recreations
Arithmetic and geometric puzzles; polyhedra; fractals and chaos; board and positional puzzles; pi and its calculations, and tiling patterns, which can be thought of as making an infinite polyhedron. Includes a bibliography ranging from Abbott's Flatland
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 Topics in Mathematics  Felynx Cougati Project; University of Alberta
An extensive site in the following topics: Foundational Ideas (Space and Dimension; Sets and Functions); Differential Calculus (Single Variable; Several Variables); Linear Algebra (Vector Spaces; Matrices; Linear Maps; Determinants); Topology (Topological
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 Topics in Precalculus  Alan Cooper, Dept. of Mathematics & Statistics, Langara College
Precalculus resources for college students: a topicbytopic guide to Webbased materials. Topics include: The Real Numbers; Cartesian Coordinates; Relations and Functions; Linear Functions; Quadratic Functions; Polynomials; Rational Functions; Radicals
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 Topics in Probability  Wlodzimierz Bryc
Books in DVI, PS and HTML formats: Normal Distribution: characterizations with applications; Applied Probability & Stochastic Processes; Large Deviations: Performance analysis.
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 Topological Groups, Lie Groups  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to Lie groups, an important special branch of group theory. They have algebraic structure and yet are also subsets of space, and so have a geometry; moreover, portions of them look just like Euclidean
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 Topological Knot Theory Information & Research  Claremont High School, Claremont, CA
Files and data related to the knot theory work developed by students at Claremont High School. A TeX file contains source code for the Paper "Tabulating Alternating Knots Through 14 Crossings," by B.Arnold, C.Candy, K.Erdener, J.Fan, J.Hoste, R.J.Muir,
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 Topological Space: Definition and Basic Theorems  Michal Wojcik
This page contains the definitions of the following concepts: topological space, open set, closed set, interior, closure. Contains the most basic theorems about these concepts together with an easytoread proof which is slightly informal in some places.
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 The Topological Zoo  The Geometry Center
For mathematicians and educators: a visual dictionary of surfaces and other mathematical objects, consisting primarily of movies, still images and interactive pictures. Can be used to complement classroom presentations, research papers and talks. Each
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 Topology and Geometry Software: Fun and Games  Jeff Weeks
Fun math toys for all ages, from the author of Exploring the Shape of Space (grades 610) and The Shape of Space (grades 1216). Applets and software for various platforms. Play with tictactoe, mazes, and the like, on a torus or Klein bottle. Draw
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 Topology Atlas  Shakhmatov and Watson; York University, Toronto, Ontario, Canada
A multipurpose center for electronic distribution of information related to topology, the mathematical study of surfaces, sometimes called "rubber sheet geometry" because topologists consider geometric figures as though they were drawn on infinitely
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 Topology  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to general topology, the study of sets on which one has a notion of "closeness"  enough to decide which
functions defined on it are continuous. Thus it is a kind of generalized geometry (we are still
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 Topology Enters Mathematics  MacTutor Math History Archives
Linked essay describing the development of topology as a mathematical discipline from Euler through the early 20th century, including 17 references (books/articles).
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 Topology (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Topology is the theory of shapes that are allowed to stretch, compress, flex and bend, but without tearing or gluing. For example, a square is topologically equivalent to a circle, since a square can be continously deformed into a circle. As another example,
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 Topology (Graphics Archive, Special Topics)  The Geometry Center
Properties of objects that don't change when they are stretched or twisted (Klein bottle, Moebius band).
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 The Topology of Chaos: Alice in Stretch and Squeezeland  Robert Gilmore, Marc Lefranc
Web site around the book The Topology of Chaos: Alice in Stretch and Squeezeland, which is devoted to topological analysis, a relatively new technique for extracting from chaotic data the topological signatures that determine the stretching and squeezing
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 Toposes, Triples and Theories  Michael Barr and Charles Wells
A revised and corrected version of the original (1983) Grundlehren der math is available free for downloading. Formats: DVI, PDF, PostScript.
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 TopSecretMath.org  Donald Endriss
Stepbystep JavaScript tutorials for learning how to factor several different kinds of trinomials using the CAB method.
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 Tostaky.Biz  Jerome Verstrynge
JavaScript utilities formatted for the smaller screens of tablets and smartphones: timer, stopwatch, world clocks, and other timekeeping tools; and unit converters for area, force, length, torque, weight, and more.
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 Totally Free Math  Terry Wesner
A free downloadable 3rd edition elementary algebra textbook with accompanying ancillaries and no advertising.
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 Totally Tessellated  Bhushan, Kay, & Williams
A comprehensive introduction to tessellations and tilings  the basic underlying mathematics and examples of tessellations in real life. The highly illustrated, printerfriendly site includes history (tessellations in mathematics and science, decorative
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 To teach definitions in geometry or teach to define?  Michael de Villiers; Mathematics Education, Univ. of DurbanWestville, South Africa
This paper argues from a theoretical standpoint that students should be actively
engaged in the defining of geometric concepts like the quadrilaterals, and
presents some data relating to a teaching experiment aimed at developing
students' ability to
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 TotiPM  Jordi Lagares Roset, Prof. of Mathematics, Girona
Una página basicamente en Catalán, pero con referencias también en castellano e inglés. Páginas didácticas, problemas, software. A page primarily in Catalan but with Spanish and English language references. Lessons,
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 Touch3D
A commercial Macintosh program for 3Dmodeling, concept design, industrial design, quick prototyping, mockups, packaging, scale models, physical renderings, production preparation, and unfolding/unwrapping. Touch3D is a complete 3D modeling/unfolding
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 TouchMath: Multisensory Math Supplements  Innovative Learning Concepts, Inc.
The TouchMath Method is a multisensory approach to teaching basic number concepts, addition, subtraction, multiplication and division. TouchMath integrates digits 1 through 9 with a corresponding number of "touchpoints." Students physically touch each
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 Toupty.com: Jeux Éducatifs en Ligne
In French or English: free educational children's games, some involving simple mathematical concepts.
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Tour: M.C. Escher  Life and Work  National Gallery of Art, Washington, DC
A tour of four virtual rooms devoted to the art of M. C. Escher. For each graphic a larger picture with accompanying commentary is available by clicking on a small picture. The gallery has more than 400 works by Escher with many images available online.
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 Tournament of Towns  Math Net, University of Toronto
A worldwide problem solving competition in mathematics. The contest attracts students of all mathematical interests and abilities with its inclusive rules and creative problems  some as challenging as those of the International Mathematical Olympiad.
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 Tournament Scheduling  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about scheduling tournaments, from "Can you help me construct a schedule for a round robin style junior hockey tournament with two divisions using only four fields?" to "What are the odds of one person predicting the
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 A Tour of Fractions  Math Forum
The Web often seems more like a maze than an organized set of resources. To help you find what you need, the Math Forum presents a 'tour' of fractions, offering links to lessons, activities, and materials, questions and answers from Ask Dr. Math, and
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 A Tour of Measurement  Math Forum
A central resource for people teaching and learning about measurement. For teachers there are links to lessons and materials, questions and answers from Ask Dr. Math, and recommended software, grouped by level (elementary, middle school, high school).
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 Toward a Fairer Expansion Draft  Ivars Peterson (MathLand)
When new teams are brought into an established league, the team owners usually take turns picking players from a pool of available talent. The conventional method for such drafts, however, often produces unfair results. For example, if one of two owners
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 The Tower of Hanoi  Andrew Cumming
Interactive version of the famous logic puzzle, in html and VRML versions, with a separate page about solving it.
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 Tower of Hanoi  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
There are three posts. Disks of different sizes are placed on the lefthand post, arranged by size with the smallest on top. You are to transfer all the disks to the righthand post in the fewest possible moves, without ever placing a larger disk on a smaller
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 Tower of Hanoi on the Web  Miroslav Kolar
The legend: A group of Eastern monks are the keepers of three towers on which sit 64 golden rings. Originally all 64 rings were stacked on one tower with each ring smaller than the one beneath. The monks are to move the rings from this first tower to
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 Tower of Hanoi (SMILE)  Paul Eubanks, Washington High School
A lesson for grades 612 designed to teach students to discover a pattern and to evaluate an exponential expression. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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 Toying with Reality: Java Applets and VRML  Paul Flavin
Virtual Reality: Modeling with Math, and a little Java. Applets to manipulate: The Pythagorean Theorem; Equation Grapher: "You type, I Graph"; Graphing Vector Calculator; Java 3d Visualizer; Virtual Rubik's Cube; Raytracing applet; Java Calculator; Play
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 Toys from Trash  Arvind Gupta
Stepbystep photographic instructions for building elegantly simple, colorful "Math Magic" doityourself manipulatives: Abacus, Flexagon, Triangle Grid, Flat Flexagon, Slipper Insets, Folding Pentagon, Tangram, Paper Octagon, Cylinder and Cone, Area
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 Trachtenberg Basic Multiplication Tutorial  Moshe Berlin
TracMath is a freely downloadable tutorial (MS Windows) for the basic system of Trachtenberg Multiplication. This system teaches a set of algorithms that perform the same function as the times tables. When students ask "How does it work?" you can use
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