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  1. Topics in Calculus - Alan Cooper, Dept. of Mathematics & Statistics, Langara College
    Calculus resources for college students: a topic-by-topic guide to Web-based materials. Topics include: Precalculus review; limits and continuity; derivatives; approximation; antiderivatives; integration; infinite series; parametric equations; polar coordinates; ...more>>

  2. 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, max-min ...more>>

  3. 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 ...more>>

  4. 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. ...more>>

  5. 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, max-min problems, integration, ...more>>

  6. 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 ...more>>

  7. 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 ...more>>

  8. Topics in Precalculus - Alan Cooper, Dept. of Mathematics & Statistics, Langara College
    Pre-calculus resources for college students: a topic-by-topic guide to Web-based materials. Topics include: The Real Numbers; Cartesian Coordinates; Relations and Functions; Linear Functions; Quadratic Functions; Polynomials; Rational Functions; Radicals ...more>>

  9. 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. ...more>>

  10. 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 ...more>>

  11. 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, ...more>>

  12. 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 easy-to-read proof which is slightly informal in some places. ...more>>

  13. 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 ...more>>

  14. 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 6-10) and The Shape of Space (grades 12-16). Applets and software for various platforms. Play with tic-tac-toe, mazes, and the like, on a torus or Klein bottle. Draw ...more>>

  15. Topology Atlas - Shakhmatov and Watson; York University, Toronto, Ontario, Canada
    A multi-purpose 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 ...more>>

  16. 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 ...more>>

  17. 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). ...more>>

  18. 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, ...more>>

  19. 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). ...more>>

  20. 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 ...more>>

  21. 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. ...more>>

  22. TopSecretMath.org - Donald Endriss
    Step-by-step JavaScript tutorials for learning how to factor several different kinds of trinomials using the C-A-B method. ...more>>

  23. 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. ...more>>

  24. Totally Free Math - Terry Wesner
    A free downloadable 3rd edition elementary algebra textbook with accompanying ancillaries and no advertising. ...more>>

  25. 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, printer-friendly site includes history (tessellations in mathematics and science, decorative ...more>>

  26. To teach definitions in geometry or teach to define? - Michael de Villiers; Mathematics Education, Univ. of Durban-Westville, 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 ...more>>

  27. 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, ...more>>

  28. Touch-3D
    A commercial Macintosh program for 3D-modeling, concept design, industrial design, quick prototyping, mock-ups, packaging, scale models, physical renderings, production preparation, and unfolding/unwrapping. Touch-3D is a complete 3D modeling/unfolding ...more>>

  29. TouchMath: Multi-sensory Math Supplements - Innovative Learning Concepts, Inc.
    The TouchMath Method is a multi-sensory 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 ...more>>

  30. Toupty.com: Jeux Éducatifs en Ligne
    In French or English: free educational children's games, some involving simple mathematical concepts. ...more>>

  31. 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 on-line. ...more>>

  32. 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. ...more>>

  33. 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 ...more>>

  34. 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 ...more>>

  35. 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). ...more>>

  36. 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 ...more>>

  37. 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. ...more>>

  38. 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 ...more>>

  39. 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 ...more>>

  40. Tower of Hanoi (SMILE) - Paul Eubanks, Washington High School
    A lesson for grades 6-12 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 ...more>>

  41. 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 ...more>>

  42. Toys from Trash - Arvind Gupta
    Step-by-step photographic instructions for building elegantly simple, colorful "Math Magic" do-it-yourself manipulatives: Abacus, Flexagon, Triangle Grid, Flat Flexagon, Slipper Insets, Folding Pentagon, Tangram, Paper Octagon, Cylinder and Cone, Area ...more>>

  43. 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 ...more>>

  44. Trachtenberg Speed Math - Alpha Centauri Software
    Software that teaches Jakow Trachtenberg's speed system of basic mathematics that he invented while imprisoned by Hitler during WWII. For Windows only. Demo version available. ...more>>

  45. Trachtenberg Speed System - Math Forum, Ask Dr. Math FAQ
    An introduction to Trachtenberg's system of performing high-speed multiplication, division, addition, subtraction, and square root, all in one's head, with references. ...more>>

  46. Tracking - Education Week on the Web
    Should schools -- as the engine of democracy -- provide relatively similar curricula for all students? Or should they instead sort students by skill levels and prepare them for their different roles as adults? A discussion of the pros and cons of tracking, ...more>>

  47. Tractrix Java Applet Class - PHD Computer Consultants Ltd
    Download Tractrix.zip, a Java applet that makes the kind of pretty swirling patterns which Dutch mathematician Huygens originally named in 1692. Specify applet width and height, background and foreground color, coordinate pairs that will identify corners, ...more>>

  48. Traditional Schooling: Articles and Research - Carolyn K., Hoagies' Gifted Education Page
    Articles and reports on traditional schooling issues: Academic Acceleration; Advocacy; Bullies; Curriculum Adjustments; Early (or late) Kindergarten; Educational Theories; Grouping; Individualized Education Profiles (IEPs); Mentors; Success Stories; Testing ...more>>

  49. Traffic Jam Activity - Suzanne Alejandre
    A classroom activity (also called Hop, Skip, Jump) aligned to the NCTM and California Standards, to be explored through large movement experience, manipulatives, and an interactive Java applet. Students then revisit the activity, look for patterns, and ...more>>

  50. Traffic Jam - Math Forum
    Equal numbers of people face each other with one open slot between them. Everybody faces the open slot. If there are 6 people there will be 7 slots, 6 of which must always have people in them. People must attempt to exchange places without turning around. ...more>>

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