 To Accumulate a Rate — Integrate!  Kaleb Allinson
Allinson teaches trigonometry and AP Calculus AB at Lake Stevens High School (WA), where he also serves as the math department head. He describes his blog as a venue to "help me reflect on my teaching.... and record the unique [ideas] I came up with for
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 Toads And Frogs Puzzle in 2D  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A 2dimensional Frogs and Toads puzzle that is not much more complicated than its 1dimensional analogue, provided, of course, the latter is fully understood. Java applet.
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 Toads And Frogs Puzzle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An interactive exploration of the Toads and Frogs puzzle, also known as Hares and Tortoise; Sheep and Goats; Hop, Skip, Jump; and Traffic Jam.
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 TODOS: Mathematics for All  Miriam Leiva, President
An organization designed to advocate for an equitable and highquality mathematics education for all students, in particular Latino/Hispanic students, by advancing the professional growth and equity awareness of educators. TODOS publishes Teaching for
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 Tomoko Fuse Origami Quilts  Jeff Kerwood
These origami quilts were designed and made by Jeff Kerwood, using the modules developed by Tomoko Fuse, a Japanese origami artist universally acknowledged as the master of modular or unit origami. In modular origami, the model is built up from multiple
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 Tom Reardon's Web Page  Tom Reardon
Tom Reardon, Mathematics Department Chairman, Austintown Fitch High School and Mathematics Instructor, Youngstown State University, shares resources that he has developed to use with his students, including: SMART Board Information & Ideas, Tips and Tricks,
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 Tom Snyder Productions
Software for teachers who love to teach. Company information, free demos, catalog; free CD sampler; product descriptions, online classroom activities, professional development (including public seminars and onsite workshops), Technology Newsletter, and
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 Tools for Decision Analysis: Analysis of Risky Decisions  Hossein Arsham
Decision making under risk is presented in the context of decision analysis using different decision criteria for public and private decisions based on decision criteria, type, and quality of available information, together with risk assessment. Also
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 Tools for Exploring Mathematics (TEMATH)  Mathematics Dept., UMass Dartmouth
A software package useful for learning and teaching algebra, precalculus, calculus, linear algebra, and applied mathematics, with a graphical interface that makes it easy to use for the computer novice. Information about TEMATH, a tour of the programs,
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 Tools for the Common Core Standards  Bill McCallum
News about tools that support implementation of the Common Core State Standards (CCSS). Posts, which date back to January, 2011, have included "Draft of progression on Number and Operations in Base Ten," "Task Writing Contest 5 for Illustrative Mathematics,"
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 Tools for Understanding  John Woodward; University of Puget Sound
A resource guide for extending mathematical understanding in secondary schools, for educators who teach mathematics and are interested in integrating common
technologies into their daily instruction. Onsite strands (Math Concepts with lessons related
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 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 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 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 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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 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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 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 (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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 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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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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 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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 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.
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 Trachtenberg Speed System  Math Forum, Ask Dr. Math FAQ
An introduction to Trachtenberg's system of performing highspeed multiplication, division, addition, subtraction, and square root, all in one's head, with references.
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 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,
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 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,
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 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
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 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.
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 Traffic Signs  Richard C. Moeur
Graphics of the most commonly used traffic signs in the United States, useful for challenging students to find symmetrical signs (in addition to polygons).
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 Transformational Geometry  Leslie Howe
Java applets to illustrate translation, rotation, glide reflection, etc. Directions for tessellations by hand and using dot paper. Links to sites of artists that illustrate these ideas.
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