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  1. A Constructivist View of Science Education - University of Massachusetts Physics Education Research Group (UMPERG)
    Four premises of constructivism: knowledge is constructed, not transmitted; prior knowledge impacts the learning process; initial understanding is local, not global; and building useful knowledge structures requires effortful and purposeful activity; ...more>>

  2. Constructivist Views of Learning in Science and Mathematics (ERIC Digest) - Drew K. Ishii
    An examination of constructivism and its implications for the classroom, with web and print resources for additional study. ...more>>

  3. Constructor - Soda
    Constructor animates and edits two-dimensional models made out of masses and springs. The springs can be controlled by a wave to make pulsing muscles, and you can construct models that bounce, roll, walk, etc. Try some of the ready-made models or build ...more>>

  4. Content-based Image Retrieval Project - Computer Science Department, Stanford University
    Project group members; online demos; SIMPLIcity: Semantics-sensitive Integrated Matching for Picture LIbraries; related links. ...more>>

  5. Contingency Analysis - Glyn Holton
    Information on financial risk management, including value at risk, derivative instruments, credit risk and financial engineering. Discussion groups of risk management professionals; fundamentals, with an overview of enterprise risk management; research ...more>>

  6. Continued Fractions and Chaos (Organic Mathematics Proceedings) - Robert M. Corless
    From the Proceedings of the Organic Mathematics Workshop. This paper is meant for the reader who knows something about continued fractions, and wishes to know more about the theory of chaotic dynamical systems; it is also useful for the person who knows ...more>>

  7. Continued Fractions: an Introduction - Adam Van Tuyl
    A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that ...more>>

  8. Continued Fractions, Infinite Continued Fractions, and Iteration - Don Cohen, The Mathman
    Ten different ways to solve a quadratic equation - an area of mathematics with applications to population increase, finding the square root of a number, chaos theory, and fractals. Sample problems from Chapter 8 (Solving Equations and Iteration) of Don ...more>>

  9. Continuing Studies and Corporate Education - University of Massachusetts Lowell
    The UMass Dartmouth and UMass Lowell Divisions of Continuing Education offer a selection of standard, full-credit university courses offered over the web. Students and faculty use the World Wide Web, email, chat and other Internet resources to review ...more>>

  10. Continuous Nowhere Differentiable Function - Michal Wojcik
    A proof of the existence of a continuous function f:[0,1]->[0,1] that is nowhere differentiable. This proof uses the Banach Contraction Principle. ...more>>

  11. Contour plots with trigonometric functions - Eric Weeks
    A method of making interesting non-moiré patterns. See also his pages on Lissajou figures, Polar Flowers, and Spiral triangles. ...more>>

  12. Contradancing and Matrices - Ivars Peterson (MathLand)
    Bernie Scanlon, a mathematics instructor at Bakersfield College in California, has been dancing nearly every weekend since 1990, even traveling to distant parts of the country to join in the fun. His passion is contradancing - a dance form unknown to ...more>>

  13. Contributions of 20th Century Women to Physics - Nina Byers; Department of Physics & Astronomy, University of California at Los Angeles
    A searchable archive of data on 86 twentieth century women who have made original and important contributions to physics, including to the field of mathematical physics. Graphics include an annotated photo gallery and a poster montage of famous females ...more>>

  14. Conversation about A Beautiful Mind, with Sylvia Nasar and Dave Bayer - archived by the Commonwealth Club of California
    A conversation with Sylvia Nasar (biographer of John Nash) and Dave Bayer (math consultant on A Beautiful Mind). Streaming audio of event sponsored by MSRI that took place May 2002. ...more>>

  15. Conversion Factors - Washington State Department of Transportation
    Conversion tables between U.S. customary units and SI (International System) units. The proper conversion procedure is to multiply the specified value on the left (primarily U.S. customary values) by the conversion factor exactly as given below and then ...more>>

  16. ConvertAuto.com - Lilly Hammond
    JavaScript calclulators for instant online conversions: angles; area; cooking, such as teaspoons (tsp) and quarts (qts); foreign currencies; density; energy; force; frequency; fuel economy, such as miles per gallon (mpg); length; power; pressure; speed; ...more>>

  17. Convex and Discrete Geometry - Dave Rusin; The Mathematical Atlas
    Information on convex and discrete geometry. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. ...more>>

  18. Convex Hull Algorithms - Tim Lambert
    An applet that demonstrates some algorithms for computing the convex hull of points in three dimensions. See the points from different viewpoints; see how the Incremental algorithm constructs the hull, face by face; while it's playing, look at it from ...more>>

  19. coolmath.com: Cool Math - Karen
    A searchable "amusement park of mathematics" for exploring math: functions, tessellations, polyhedra, limits, logs, fractals (with galleries), puzzles and problems, fun with numbers, how to succeed in math, careers in math. Also Cool Links for Math for ...more>>

  20. Cool Math Guy - Dana Mosely
    Watch math lessons delivered by a video instructor for several textbook publishers. Topics range from arithmetic to several variable calculus, and include review for the standardized tests such as the SAT and ACT. Also, play games that involve matching, ...more>>

  21. Cooperative Two Person Generalized (Non-Zero) Sum Game - Elmer G. Wiens; Egwald Web Services Ltd.
    This article uses John Nash's theory to solve the "Battle of the Sexes" two-person cooperative (bargaining) game. It discusses such key concepts as the negotiation set, threat strategies, the Nash function, the negotiated settlement, and the payoff trade-off ...more>>

  22. Coping With Math Anxiety - B. Sidney Smith, Wendy Hageman Smith; Math Academy Online/Platonic Realms
    A "mini-text" concerning the potentially disabling fear of math. This site defines math anxiety, discusses its social and educational roots, addresses some widespread myths about math and learning math, and deals with possible strategies for overcoming ...more>>

  23. Core Concept: Comprehensive Assessment - Edutopia
    The George Lucas Educational Foundation's compilation of resources on assessment in education, including videos, real-life examples, blog posts, articles, and interviews. ...more>>

  24. Corner for Interactive Geometry Software (CIGS) - The Math Forum
    The main Math Forum page for resources devoted to the support of teaching with geometry software, especially dynamic, interactive software such as Cabri Geometry and the Geometer's Sketchpad. Instructional activities and lessons to read on the Web or ...more>>

  25. Cotton Expressions Science and Math T-Shirts - Cotton Expressions, Ltd.
    Science and mathematical t-shirts currently sold to museums and college bookstores worldwide. ...more>>

  26. Counterexamples in Clifford Algebras - Pertti Lounesto, Helsinki Institute of Technology
    Counterexamples to theorems published and proved in recent literature on Clifford algebras, spinors, spin groups and the exterior algebra, many stemming from the failure of the authors to check their statements in low dimensions, or for small numbers ...more>>

  27. The Counterfeit Coin - Ivars Peterson (MathTrek)
    The classic puzzle of the counterfeit coin has long served as a stiff test of one's reasoning power and ingenuity. In its standard form, the problem concerns 12 coins identical in size, shape, and appearance. One coin, however, is counterfeit, having ...more>>

  28. Counting by Twos - Ivars Peterson (MathTrek)
    How much is a megabyte? Many people don't really know. The problem originated decades ago when computer professionals noticed that 2^10 is very nearly equal to 1,000, and they began using the metric prefix "kilo" to mean 1,024. That was okay when computers ...more>>

  29. Counting Hamilton Cycles in Product Graphs - Frans Faase
    Exploration of Hamilton paths through a program which draws a snake that starts at one place in a box, and then extends itself until it cannot go further, after which it shrinks again, to seek another path. The author coded these snake programs in Fortran, ...more>>

  30. Counting Triangles - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    Division of a square by evenly spaced lines parallel to its sides yields a number of small squares which is clearly square. Interestingly, the same is true for a triangle divided by evenly spaced lines parallel to its sides. The page contains a dynamic ...more>>

  31. A Course in Homological Algebra - E. Lee Lady; University of Hawaii
    A collection of graduate course notes. Files are in PDF and DVI formats. Contents include: tor, flatness, and purity; syzygies, projective dimension and global dimension; Gorenstein rings and modules; Auslander's proof of Roiter's Theorem; and a list ...more>>

  32. Course Materials Online - College of Education, San Diego State University
    Courses online in Administration, Rehabilitation and Postsecondary Education; Education; Educational Technology, including multimedia development and distance education. Also humanistic and social aspects of teaching, from the School of Teacher Education. ...more>>

  33. Course Notes - J. S. Milne
    Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions ...more>>

  34. Course Project Suggestions (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center
    An list of suggestions for projects in geometry, topology, symmetry, making geometric solids, calendars, spherical and hyperbolic trigonometry, puzzles, models, etc. Projects were to be exhibited at the Geometry Fair at the end of the course. ...more>>

  35. Courses I Teach - John Cosgrave; St. Patrick's College, Dublin, Ireland
    Lecture notes from three courses given at St Patrick's College, Dublin: Maple/Calculus/Analysis; Number Theory; Number Theory and Cryptography. ...more>>

  36. Covering and Packing (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
    An extensive annotated list of links to material on covering and packing problems. ...more>>

  37. Covering Up (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
    Have you ever wondered why the cover of a manhole is nearly always round? Why couldn't it be oval or square? The usual answer is that a circular lid, unlike a square or an oval cover, won't fall through the opening, but the circle isn't the only shape ...more>>

  38. The Cow in the Classroom - Ivars Peterson (MathLand)
    Math Curse by Jon Scieszka and Lane Smith spoofs the types of word problems that educators and textbook writers invent to dress up arithmetic exercises and, supposedly, to demonstrate the relevance of math to everyday life. Canadian economist and humorist ...more>>

  39. CP-AI-OR 2001: Third International Workshop
    Third International Workshop on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems. Wye College (Imperial College), Ashford, Kent UK; 8-10 April, 2001. Papers available ...more>>

  40. C Program Math Functions - Dave Norman
    Examples of C coding for some maths problems. Current functions are atan (double x), cos (double x), and sin (double x). ...more>>

  41. Cracking a Medieval Code - Ivars Peterson (MathTrek)
    The first printed book on cryptology was written by Johannes Trithemius (1462-1516), an abbot in Spanheim, Germany, who was one of the leading intellectuals of his day. Bearing the title Polygraphiae libri sex ("Six Books of Polygraphy"), it was published ...more>>

  42. Cracking Kepler's sphere-packing problem - Ivars Peterson; Science News Online
    The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Thomas C. Hales proved that no other arrangement of identical spheres fills space more efficiently, ...more>>

  43. Cracking the Myth of Ball Control - Ivars Peterson (MathLand)
    Ball control has become common practice in a number of sports. In basketball, for example, coaches often urge their teams to slow down a game at certain times or to control its tempo. In professional football, "time of possession" has become a statistic ...more>>

  44. Crackpot Index - John Baez
    A fun site which outlines how you can tell if a new theory is really from a "crackpot." ...more>>

  45. Crafty Puzzles - James Cole, The Crafty Puzzles Company
    A U.K. establishment selling wooden puzzles of all sorts: jigsaw puzzles, puzzle boxes, brain teasers, models, and functional pieces. ...more>>

  46. A Craps Tutorial -- Odds, Probability, and House Edge - Gayle Tellis
    Intended to help students and teachers of math learn how to convert odds to probability (and vice-versa) and to compute house edge of simple games such as craps and roulette. Includes a section on the rules as well. ...more>>

  47. A Crash Course in Symbolic Logic - D.J. Brasier; Math Forum, Ask Dr. Math FAQ
    Is symbolic logic so hard that some people will just never be able to get it? In a gentle introduction to the notation and rules of derivation used in symbolic logic, Dr. Achilles shows why the answer to that question is 'No'. ...more>>

  48. A Crash Course in the Mathematics of Infinite Sets - Peter Suber; Philosophy Department, Earlham College
    An introductory guide for philosophers, explaining the use of infinitary set theory. ...more>>

  49. Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry [PDF document] - Aleka McAdams, Stanley Osher, and Joseph Teran
    The May 2010 issue of the Notices of the American Mathematical Society includes a PDF article (1.3M) entitled "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry." ...more>>

  50. CRC Press LLC
    A scientific and technical publisher of books, journals, regulatory newsletters, and environmental seminars. A searchable online catalog may also be browsed by topic, among others Engineering, Computer Science, and Math & Statistics. ...more>>

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