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  All Sites - 2077 items found, showing 1901 to 1950

  1. Three Years Of Computing: Final Report on the Palindrome Quest - John Walker
    "Pick a number. Reverse its digits and add the resulting number to the original number. If the result isn't a palindrome, repeat the process. Do all numbers in base 10 eventually become palindromes through this process? Nobody knows." The story of a ...more>>

  2. Tickling the Mind - Ivars Peterson (MathTrek)
    ... Different math teachers may use different styles and methods, and they may favor different topics. However, they all share the goal of building an appreciation of both the usefulness and the intellectual wonder of mathematics. Much of the current ...more>>

  3. Tilings and Geometric Ornament - Kaplan, Salesin
    A project designed to explore the intersection between computer graphics, geometry, and ornamental design. Papers and illustrations on Escherization, Islamic Star Patterns, Parquet Deformations, Symmetrohedra, and Voronoi Diagrams. ...more>>

  4. Tiling with Polyominoes - Ivars Peterson (MathTrek)
    "Mathematicians have proved that the general question of whether it's possible to cover the plane with identical copies of a given finite set of tiles is, in principle, computationally undecidable. In other words, there's no cookbook recipe or handbook ...more>>

  5. Tilt-A-Whirl Chaos - Ivars Peterson (MathTrek)
    The amusement park Tilt-A-Whirl spins its passengers in one direction, then another... A rider never knows exactly what to expect next. Yet these complicated, surprising movements arise from a remarkably simple geometry. A passenger rides in one of seven ...more>>

  6. Time, The Fourth Dimension - Jim Loy
    Because of Einstein, we often call time the fourth dimension. Special relativity shows that time behaves surprisingly like the three spatial dimensions... Pretend, for a moment, that there are more than three spatial dimensions. What is a four or five-dimensional ...more>>

  7. TIMSS Resource Center - Mid-continent Regional Educational Laboratory (McREL)
    Articles, teleconferences, sites, and other materials about the Third International Mathematics and Science Study. ...more>>

  8. TIMSS United States: International Mathematics and Science Study - U.S. TIMSS National Research Center, Michigan State University
    The Third International Mathematics and Science Study represents the most extensive investigation of mathematics and science education ever conducted. Approximately 50 countries participated in this comparative survey of education focusing upon 9-year-old ...more>>

  9. Title III MSS Final Performance Report - Dana Lee Ling
    Dana Lee Ling is a mathematics and science software specialist at the College of Micronesia-FSM. Articles document the College's attempts to increase the success of pre-algebra and algebra students through "conceptual" and technology-based approaches. ...more>>

  10. 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 hanky-panky." What is the probability of ...more>>

  11. 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>>

  12. 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>>

  13. 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>>

  14. 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>>

  15. 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>>

  16. 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>>

  17. 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>>

  18. 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>>

  19. 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>>

  20. The Travelling Monkey - Ivars Peterson (MathLand)
    One of the classic problems of planning ahead concerns a traveling salesman who must visit customers in a number of cities scattered across the country and then return home. The problem is to find the shortest possible route visiting each city only once. ...more>>

  21. Triangle Centers - Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
    A listing, with description and illustration, of 20th-century triangle centers (including: Schiffler Point, Exeter Point, Parry Point, congruent isoscelizers point, Yff Center of Congruence, isoperimetric point and equal detour point, Ajima-Malfatti Points, ...more>>

  22. Tribute to Invariance - Cut the Knot!, Alexander Bogomolny
    As a competitive activity, the Squares and Circles game is not very challenging in itself. That is to say, the outcome of the game does not depend on how the game proceeds. The challenge is to come up with this realization and establish its veracity. ...more>>

  23. Tricky Crossings - Ivars Peterson (MathLand)
    Have you heard the one about an itinerant entertainer traveling with a wolf, a goat, and a basket of cabbages? The showman comes to a river and finds a small boat that holds only himself and one passenger. For obvious reasons, he can't leave the wolf ...more>>

  24. Tricky Dice - Ivars Peterson (MathTrek)
    The game involves four specially numbered dice. You let your opponent pick any one of the four dice. You choose one of the remaining three dice. Each player tosses his or her die, and the higher number wins the throw. Amazingly, in a game involving 10 ...more>>

  25. Tricky Tables (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
    The shape of a billiard table has a lot to do with the types of shots you can make in a game of billiards. Which of the odd tables pictured do you think would be your best bet for hitting another ball? Suppose you have a circular table, or a rectangular ...more>>

  26. The Trigonometric Functions - MacTutor Math History Archives
    Linked essay sketching trigonometry from its beginnings out of the early correspondence between astronomy and mathematics through the 18th century, with 17 references (books/articles). ...more>>

  27. A Trillion Dollars - Jim Loy
    Illustrating large numbers: 100, 1,000, and 10,000 vertical lines; imagining a trillion. ...more>>

  28. Triogram Models - Hansen, Kooperberg, Sardy
    An electronic version of a paper that introduces the Triogram method for function estimation using piecewise linear, bivariate splines based on an adaptively constructed triangulation. Java applets are included and a PostScript version of the entire paper ...more>>

  29. Trisecting an Angle - MacTutor Math History Archives
    Linked essay tracing the history of the classical Greek problem of trisecting an arbitrary angle using for the construction only ruler and compass (which is impossible) - but, failing that, finding some other method. ...more>>

  30. Trisecting the Angle - Steven Dutch; University of Wisconsin - Green Bay
    Why is trisecting an angle with a straightedge and compass impossible? Discussion includes several other proofs of impossibility (the largest prime number, the square root of 2, repeating patterns in the plane) and some alternate methods of trisection ...more>>

  31. Trisection Of An Angle - Jim Loy
    A discussion of what can and can't be constructed using compasses (for drawing circles and arcs, and duplicating lengths) and straight-edge (without marks on it, for drawing straight line segments). ...more>>

  32. Triumph of the Nerds: A History of the Computer - Robert X. Cringely; PBS Online
    A companion Web site for the Public Broadcasting System television special hosted by Robert Cringely, "Triumph of the Nerds: The Rise of Accidental Empires." Learn how youthful amateurs, hippies, and self-proclaimed "nerds" accidentally changed the world. ...more>>

  33. Troublesome Weather Trends - Ivars Peterson (MathTrek)
    In the February Bulletin of the American Meteorological Society, Statistician Kevin J. Coakley of the National Institute of Standards and Technology in Boulder, Colo. argues that ... daily temperatures donít vary randomly. They generally tend to rise ...more>>

  34. Trouble with Wild-Card Poker - Ivars Peterson (MathLand)
    Poker originated in the Louisiana territory around the year 1800. Ever since, this addictive card game has occupied the time and teased the minds of generations of gamblers. It has also attracted the attention of mathematicians and statisticians. The ...more>>

  35. Truel in the Sun - Ivars Peterson (MathTrek)
    Brilliant sunshine bakes a huddled row of ramshackle, weather-beaten buildings lining a dusty thoroughfare. Two gunfighters slam out of a decrepit saloon and stalk toward their posts at either end of the street. Facing each other, they prepare to draw ...more>>

  36. TSM-4: 'Using the Internet for Mathematics' - Oundle School, Peterborough, UK
    A one-day conference for teachers held 11 May 1998 at Oundle School, Peterborough, UK. Technology for Secondary and College Mathematics (TSM) is a teacher training initiative based at Oundle School. Online Workshops: "How to download text and images off ...more>>

  37. TSPBIB (Traveling Salesman Problem) - Pablo Moscato
    A comprehensive listing of papers, source code, preprints, technical reports, etc., available on the Internet about the Traveling Salesman Problem (TSP) and some associated problems such as Fractal TSP Instances and VRP Instances, with links to software ...more>>

  38. Turbulence, Chaos and Disordered Systems
    A research group at the Eindhoven University of Technology in the Netherlands investigating turbulence, self-organization, chaos, and complexity in fluids. Descriptions of projects and full text of related thesis projects. ...more>>

  39. Turn of the Screw - Ivars Peterson (MathTrek)
    Mathematician Chris Rorres of Drexel University in Philadelphia has taken a close look at Vitruvius's specifications for constructing an Archimedes screw... Recent years have seen a revival of interest in the Archimedes screw, particularly for its proven, ...more>>

  40. Turtle Tracks - Ivars Peterson (MathTrek)
    One way to describe a geometric figure is in terms of the path generated by a moving point. Using the computer language LOGO, children can produce a list of commands to govern the motion of a "turtle" and trace out a geometric track on the computer screen. ...more>>

  41. Tversky's Legacy Revisited - Keith Devlin (Devlin's Angle)
    "Amos Tversky died earlier this year. To mathematicians, the Stanford-based psychologist is best known for the research he did with his colleague Daniel Kahneman in the early 1970s, into the way people judge probabilities and estimate likely outcomes ...more>>

  42. The "Two-Dimensional Factorial" and a New Solution for the Probability of Completing Sets in Random Sampling - Jeffrey D. Lindsay
    In finding a new solution to a classic probability problem, The Collector's Problem, concerning the collection of items in a set, a new and useful recursive function has been found, the "two-dimensional factorial." A Web adaptation of J.D. Lindsay, "A ...more>>

  43. Two Equals One? - Jim Loy
    A proof that 2=1, what's not "legal" about it, and a discussion of infinity. ...more>>

  44. Two Points of View - Tom O'Brien
    "Children are not stones or recording devices. They are, first of all, sense-makers." In summarizing his work with practicing teachers on the four basic operations, the author responds to H. H. Wu's article, "What's Sophisticated about Elementary Mathematics?" ...more>>

  45. Tying Down a Random Walk - Ivars Peterson (MathTrek)
    For many men, the ordeal of fashioning a neat tie knot is fading into the distant past. It seems ironic that two physicists have now put necktie knots back on center stage. Thomas M. A. Fink and Yong Mao of the Cavendish Laboratory in Cambridge, England, ...more>>

  46. UC Berkeley Wavelet Group - Univ. of California at Berkeley
    People, papers and publications. ...more>>

  47. ULTRALAB - Anglia Polytechnic University, U.K.
    A research centre that writes software for learners of all ages and researches all aspects of the use of technology in learning. Reports, papers, and articles; 'old' software and hardware computing archive. ...more>>

  48. Unbreakable Ciphers - Jim Loy
    Proving that if the method of encryption is complicated enough, almost any encrypted message can be unbreakable. ...more>>

  49. Undergraduate Research Project in Random Tilings - Propp, Wilson
    This project investigates different regions of random tilings of nxn squares with 1x2 dominoes: square, hexagon, fortress, dungeon, and Aztec diamond (the set of lattice squares completely inside a square tilted 45 degrees, discovering that the dominoes ...more>>

  50. Understanding (Learning and Mathematics) - Greeno, Riley; Math Forum
    In their 1987 article, "Processes and Development of Understanding," James G. Greeno of Stanford University and Mary S. Riley of San Diego State University examine why younger children seem to lack the ability of older children to solve mathematical word ...more>>


 
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