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  All Sites - 2064 items found, showing 51 to 100

  1. Algebra - University of Wales, Bangor
    A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed n-cubes, nonabelian ...more>>

  2. Algorithms, Problems, Empirical Studies (APES) - Leeds and Strathclyde Universities, U.K.
    An informal group of researchers interested in the understanding of algorithms and problems through empirical studies. Brian Hayes' article Can't Get No Satisfaction, introduces phase transition research in satisfiability, outlining a problem near the ...more>>

  3. Aligning and Articulating Standards Across the Curriculum (NCREL) - Cathy Cook; Pathways to School Improvement
    Critical Issues in Mathematics. Students often do not see any connection between the mathematics they learn in school and the other subjects they study. As a result, many students do not see or understand the connection between mathematics and their daily ...more>>

  4. All About LaTeX2HTML - Nikos Drakos, Computer Based Learning Unit, Univ. of Leeds
    LaTeX2HTML: What it is, how it works, where to get it, how to install it, how to use it and how to diagnose and fix problems. Also the LaTeX2HTML manual. Mailing list; sample converted documents; publications about LaTeX2HTML; searchable archives. Last ...more>>

  5. All Numbers Are Less Than A Million - Jim Loy
    A "proof" that is "very close to what often passes as proof in the non-mathematical world." ...more>>

  6. Alternative Assessment Techniques - ERIC
    An introductory bibliography of available information on alternative assessment. Provides an extensive list of resources, with abstracts and directions for obtaining full-text copies of ERIC Journal and ERIC document citations. ...more>>

  7. Alternative Instruction and Alternative, Performance-Based Assessment - Jane Ehrenfeld; Math Forum
    Two annotated bibliographies designed to present ways in which assessment can be altered without drastic restructuring of class and curriculum. Some of the articles and books referenced have links to portfolio-based instruction and assessment, and can ...more>>

  8. Alternative or Block Scheduling - Mathematics Education at The Math Forum
    The Math Forum's suggested sites on block scheduling, including Web resources, articles and reports, and discussions. ...more>>

  9. The Amazing ABC Conjecture - Ivars Peterson (MathTrek)
    In number theory, straightforward, reasonable questions are remarkably easy to ask, yet many of these questions are surprisingly difficult or even impossible to answer. Fermat's last theorem, for instance, involves an equation of the form x^n + y^n = ...more>>

  10. Amazing Applications of Probability and Statistics - Kelly Rogers; Intuitor.com
    Intuitor.com's Prob. and Stat. page provides clear and concise information on a variety of topics covered in AP Statistics, including: Probability, binomial coefficients, data analysis, random numbers, skewness, hypothesis testing, and power. This ...more>>

  11. America's Favorite Number (Math Chat) - Frank Morgan, MAA Online
    Math Chat invited each reader to send in a number. The most commonly submitted number, with the best explanation of why, wins. Answer: In a tight race between 7 and pi, pi wins by a single vote... ...more>>

  12. The Americas - Mathematics and the Liberal Arts - Todd Hammond
    Notes on published articles: a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and on the connections between mathematics and other disciplines. ...more>>

  13. Analysis of Algorithms - Flajolet, Prodinger
    A research site with papers to download, links to researchers, a newsletter, etc. Analysis of Algorithms (AofA) is a field in computer science whose overall goal is an understanding of the complexity of algorithms. While much research is devoted to worst-case ...more>>

  14. The Analytical Engine - John Walker
    The mathematician Charles Babbage designed an Analytical Engine, a mechanical precursor to the computer, in the late 1800s. Read historical documents related to the Engine, including Blaise Pascal's account of his mechanical adding machine (in French), ...more>>

  15. Analytic and Descriptive Geometry - Dave Rusin; The Mathematical Atlas
    An introduction to ordinary analytic geometry as studied in secondary school. (Also included here is a rather lengthy analysis of a result known as Poncelet's Porism.) History; applications and related fields and subfields; textbooks, reference works, ...more>>

  16. Analytic Geometry - Jim Loy
    This is a quick introduction to analytic geometry, graphing functions in a coordinate system, that foreshadows the derivative. ...more>>

  17. Andrei Nikolaevich Kolmogorov - Alexander Adamchuk
    Curriculum vitae, biography, conference announcement, memorial readings, and links about Andrei Nikolaevich Kolmogorov. ...more>>

  18. Andrew Odlyzko
    Home page of the Head of the Mathematics and Cryptography Research Department at AT&T Labs. The site contains a comprehensive list of his papers, most of which may be downloaded in LaTex, PDF, or PostScript form if they are not available as plain ...more>>

  19. Andrew Ranicki's Homepage - Andrew Ranicki
    Articles, video clips, bibliographies, and other assorted resources from the Scottish topologist and knot theorist who practices algebraic surgery, a classification method in topology for cutting up manifolds: the Jordan Curve Theorem and the classification ...more>>

  20. Annenberg Institute for School Reform (AISR) - Brown University
    The Annenberg Institute develops, shares and acts on knowledge that improves outcomes of schooling in America, especially in urban communities and in schools serving disadvantaged children. Institute Projects: Rethinking Accountability; Building Capacity; ...more>>

  21. Another Record Prime - Ivars Peterson (MathLand)
    This time, it didn't take a supercomputer. The new record for the largest known prime number goes to someone using a Pentium-powered desktop machine. Joel Armengaud, a computer programmer working for Apsylog in Paris, made the discovery on Nov. 13 and ...more>>

  22. anthropic-principle.com - Nick Bostrom
    A site on 'Anthropic reasoning', which involves concepts such as probability, objective chance, rationality, and observers. See problems like the Doomsday argument. ...more>>

  23. Ant Math (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
    Imagine stepping into a pitch-black room. How might you figure out the room's size in the dark? You could, for example, carefully follow the walls and count how many steps you took going from one corner to the next all the way around. That would give ...more>>

  24. Appealing Numbers - Ivars Peterson (MathTrek)
    A short history of amicable numbers - pairs in which each number is the sum of the proper divisors of the other. The smallest such pair is 220 and 284. The number 220 is evenly divisible by 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which add up to ...more>>

  25. Application of Rayleigh's Short-Cut Method to Polya's Recurrence Problem [PDF] - Peter Doyle
    Doyle's Ph.D. thesis at Dartmouth College, June 1982. The goals of the presentation are to explain why Polya's theorem is true and to develop techniques for applying Rayleigh's method. The main results make sense of the notion that if two graphs look ...more>>

  26. Applications and Misapplications of Cognitive Psychology to Math Education - Anderson, Reder, Simon
    A critical view of constructivism by three leading cognitive psychologists at Carnegie Mellon University. Decomposition and decontextualization; situated learning; constructivism; recommendations for research and instruction; overall conclusions; references. ...more>>

  27. Applied Algebra Group - Dept. of Mathematics, Johannes Kepler Universität Linz, Austria.
    This group has formed around Prof. Günter Pilz. One of its main research interests lies in near-rings: generalised rings that might generally be described as rings (N,+,*) where the addition is not necessarily abelian and only one distributive law ...more>>

  28. Applied Chaos Lab (ACL) - Dr. W. Ditto; Georgia Tech University
    The ACL covers a broad range of analysis and application of chaotic behavior and related phenomena. Much of the research is done in conjunction with researchers at other universities and extends into biophysics and other interdisciplinary areas. Researchers ...more>>

  29. Applied Mathematical Sciences Summer Institute
    A summer research program for undergraduate majors in mathematics and related fields of application. AMSSI targets underrepresented minorities and women. Read "Determinisitc and Small-World Network Models of College Drinking Patterns," "Algebraic Interleavers ...more>>

  30. Approximations and Expansions - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to approximations and expansions, which primarily concern the approximation of classes of real functions by functions of special types. This includes approximations by linear functions, polynomials (not ...more>>

  31. Approximation Theory Network (AT-NET) - Hans Joachim Schmid, Hans Strauss
    Resources for the approximation theory community. Subscribe to a message group or read past bulletins. Includes a list of theses and relevant class notes (some linked or available for download), tables of contents from various journals, and an alphabetical ...more>>

  32. AP Statistics - BB&N Upper School
    A course from the Buckingham Browne & Nichols School. Advanced Placement Statistics acquaints students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data, featuring work on projects involving the hands-on ...more>>

  33. APStatistics Dissertation - Kim Robinson, Clayton College & State University
    A qualitative research study focused on students' learning and their performance on the Advanced Placement Exam with respect to concept-oriented instruction as recommended by the AP Statistics Test Development Committee. Organized into chapters, including ...more>>

  34. Arabic mathematics: forgotten brilliance? - MacTutor Math History Archives
    Linked essay exploring the debt we owe to Arabic/Islamic mathematics. In many respects the mathematics studied today is far closer in style to that of the Arabic/Islamic contribution than to that of the Greeks. Certainly many of the ideas previously thought ...more>>

  35. The Arabic numeral system - MacTutor Math History Archives
    Linked essay exploring the transmission of Indian numerals first to the Arabic/Islamic peoples and from them to Europe. The eastern and western parts of the Arabic world (North Africa and Spain) both saw separate developments of Indian numerals with relatively ...more>>

  36. Arbeitsgruppe Bachem/Schrader - University of Köln
    A working group of the Center for Parallel Computing (ZPR) at Köln. Site includes a list of members and contact address; informative write-ups on its projects, some in English. Topics include: Basic Research (meaning "pure" as opposed to "applied"); ...more>>

  37. Are Mathematicians Turning Soft? - Keith Devlin (Devlin's Angle)
    An article about 'soft mathematics'. "...In order to capture some of the abstract patterns and structures of mind and language, linguists sometimes find it convenient (perhaps necessary) to make use of mathematics, or at least mathematical notation or ...more>>

  38. Aristotle and the Paradoxes of Logic - Gilbert Voeten
    At about the same time that set theory began to influence other branches of mathematics, various contradictions, called paradoxes, were discovered. A paradox, however, is only due to a striking violation of at least one of Aristotle's laws of logic. The ...more>>

  39. Arithmagic - Ivars Peterson (MathTrek)
    Arthur T. Benjamin eschews the usual trappings of the magician's trade. Calling himself a mathemagician, he astonishes audiences with amazing feats of mental arithmetic. Behind the scenes, he reveals how you, too, can look like a genius without really ...more>>

  40. Arithmagic (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
    Prof. Arthur Benjamin amazes audiences by multiplying numbers in his head faster than someone using a calculator. Benjamin says that anyone - young or old - can learn to do the same feats of mental arithmetic. All it takes is a memory for numbers and ...more>>

  41. Arithmetic (Funk & Wagnalls Multimedia Encyclopedia) - Lycos Zone: Mathematics
    A short article on arithmetic: fundamental definitions and laws; theory of divisors; fractions; and decimals. ...more>>

  42. Arithmetic is Algebra Backwards - John Hays
    A series of essays, including: Deriving integers as vectors of Naturals; rationals, vectors of integers; reals as infinite vectors of rationals by adjoining transfinite operation of LIMIT to arithmetic finite operations; complex numbers as vector of reals ...more>>

  43. Arithmetic Properties of Binomial Coefficients (Organic Mathematics Proceedings) - Andrew Granville
    Many great mathematicians of the nineteenth century considered problems involving binomial coefficients modulo a prime power (for instance Babbage, Cauchy, Cayley, Gauss, Hensel, Hermite, Kummer, Legendre, Lucas and Stickelberger). They discovered a variety ...more>>

  44. Arithmetic with Roman Numerals - Jim Loy
    "It is fairly obvious that Roman numerals are more difficult to use than our arabic numerals. They are fine for recording a date or indicating a chapter number. But, they make arithmetic somewhat difficult....Egypian numerals are essentially Roman numerals, ...more>>

  45. Arnd Roth - Arnd Roth, Institute for Theoretical Physics, Heidelberg, Germany
    Arnd Roth studies computational physics and neuroscience. This page provides documentation and code for related Mathematica notebooks, and a notebook for the Knight's Tour chess problem, available online. Also links to abstracts or text of many of Roth's ...more>>

  46. Around the Dartboard - Ivars Peterson (MathLand)
    The numbers on a standard dartboard have the following order, going clockwise starting at the top: 20, 1, 18, 4, 13, 6, 10, 15, 2, 17, 3, 19, 7, 16, 8, 11, 14, 9, 15, and 5. Why this particular order? A possible criterion for designing a dartboard is ...more>>

  47. Articles on Mathematics - Subramaniyan Neelagandan
    Articles in four formats: DVI, PDF, PS, and TEX Code. The Distribution of Prime Numbers & Integer Factorization; The Simplification of Fermat's Last Theorem; Exploration of Collatz's Conjecture. ...more>>

  48. Articulation in Mathematics Education - EXTEND - Perspectives in Mathematics Education
    Links to articles on creating smoother transitions between education and work, between school and college and within sectors of higher education, and about preparing teachers to facilitate these transitions and students to respond to new environments. ...more>>

  49. An Artist's Timely Riddles - Ivars Peterson - Science News Online
    The late 19th and early 20th centuries were a time of great popular interest in visualizing a fourth spatial dimension - a concept that appeared to offer painters and sculptors, in particular, an avenue of escape from conventional representation. Moreover, ...more>>

  50. The Art of Asking Thought Provoking Questions in the Mathematics Classroom - Carmen Bellido, Uroyoan Walker, Keith Wayland
    A position paper in PDF format: a "How To" guide for developing higher-level conceptual questions that provoke students to think. Several techniques for modifying traditional questions are illustrated with examples ranging from elementary to high school ...more>>


 
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