 Universal Framework for Science and Engineering  Part 5: Category theory  Petr Ivankov
Software for use in Category Theory. The web site describes its function and operation.
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 Universal Math Solver  Stanislav Kublanovsky
Software that solves problems of arithmetic, algebra, trigonometry, calculus, and other mathematics. Graphs, tables, and automated verbal and written commentaries — also available in French, Russian, Dutch, German, Italian, Spanish, and Hebrew —
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 Universal Math Solver (UMS)  Severny Ochag International
UMS allows students to solve problems simply by entering them from any source, and provides a complete solution and presentation of the whole calculation process, accompanied by an audio commentary. See a screen shot or download a demo. Available in French,
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 The Universe of Discourse  Mark Dominus
Blog by the perl programmer who authored the book HigherOrder Perl and columns for The Perl Journal. Posts, which date back to November, 2005, have included "Fibonaccilike sequences," "More Liber Abaci," "The 3n+1 domain," "Biblical infallibility and
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 Université de Montréal  Département d'informatique et de recherche opérationnelle
In French, with some pages available in English as well: Fondé en 1966, le DIRO fut le second département d’informatique créé au Canada. La recherche de pointe de son corps professoral, l’ampleur de son activité académique et son rayonnement international
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 University Departments  Canadian Mathematical Society (CAMEL)
An alphabetical list of Canadian university departments. Also links to
All U.S. Mathematics Departments online and
More Mathematics Departments in Universities around the World.
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 The University of Chicago School Mathematics Program (UCSMP)
A K12 curriculum begun in 1983, with educational materials designed to bring the real world into the classroom, emphasizing reading, problemsolving, everyday applications, and the use of calculators, computers, and other technologies. Unnecessary repetition
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 The University of Minnesota Calculus Initiative  The Geometry Center
Interactive technologybased modules for the engineering calculus sequence which emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences. Available are: the Rainbow Lab, Numerical Integration
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 University of South Carolina High School Math Contests  David Sumner
Problems from the University of South Carolina (USC) High School Math Contests, since 1994. Walk step by step through illustrated solutions to each problem using the "next step" button. The delivery of questions is designed for competitive timing. Also,
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 UniVirtual Slide Rule Emulator  Andrew Davie
A realtime, fully configurable, slide rule emulator in Java. Zoom, reconfigure onthefly, and work multiple slides and multiple cursors, each of which supports multiple gauge marks and hairlines.
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 Unizor  Zor Shekhtman
Whiteboard lectures for teenagers on algebra, trigonometry, vectors, matrices, combinatorics, probability, and statistics. Sign in for structured study, assignment functions, and more.
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 Unlocking Puzzling Polygons  Ivars Peterson  Science News Online
An ingenious proof settles a wickedly prickly question about unfurling crinkly polygons. Think of a polygon as a chain of rigid rods connected to each other in two dimensions with flexible joints. Start with any configuration, no matter how complex and
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 Unlocking Ways to Make Your Math Simple  Rajinder Goswami
An ebook meant to enhance calulating skills. It focuses on comprehension, speed, and accuracy. Two Flash examples provided; download the whole book for a fee.
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 Unlucky in Cards (Math Chat)  Frank Morgan, MAA Online
In his Contract Bridge syndicated column Phillip Alder says that the odds against getting a "Yarborough  a hand with no card higher than a nine" are 1827 to 1, and that the odds against two players getting a Yarborough on the same deal are about 182
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 Unsilence Students' Voices  Suzanne Alejandre
Article discussing how to provide an opportunity for all students to contribute to math classroom discussions. Originally published in the September, 2012, issue of the CMC ComMuniCator, journal of the California Mathematics Council, this article intersperses
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 Unsolved Problems in Function Theory  Alexandre Eremenko
Files available in PDF format: Some constants studied by Littlewood; Meromorphic functions satisfying certain differential equations (E. Hille); Does every universe contain a place where you can stay at rest? (Lee Rubel); Holomorphic curves with few inflection
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 Unsolved Problems in Number Theory, Logic, and Cryptography  Tim Roberts
This site "concentrates only on problems which are easily understandable to the amateur.... explainable on a single screen (perhaps 200 words), using simple terminology." Read brief descriptions of open problems such as the Chromatic Number, the Collatz
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 Unstructured Grids (UG)  Institut für Computeranwendungen, UniversitU7auml;t Stuttgart
A flexible software tool for the numerical solution of partial differential equations on unstructured meshes in two and three space dimensions using multigrid methods. Its basic design is flexible enough to support many different discretization schemes.
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 Untangled  Mehta, Gayatri; Luo, Xiaozhong; et al.
Map and place logic blocks in this game to make more compact circuit layouts on a grid  and more efficient computer chips. Visually appealing graphs bring nodes closer to parents or children and untangle knots in graphs; behind the scenes, the accumulated
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 Untangling the Mathematics of Knots (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Fundamentals of knot theory for a wide range of levels  a variety of activities for exploring knots made from pieces of rope. Students can make and verify observations about knots, classify them, combine them, and find ways to determine if two knots
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 US2020
By organizing a million mentors from industry, this organization hopes to provide "uplifting moments of discovery to children through realworld, handson projects and academic coaching" in science, technology, engineering and math (STEM) fields. The
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 USA Map Jigsaw Puzzle  Jill Britton
Students are challenged to move each of the contiguous 48 states into the correct position on the map. Note the number of colors necessary for separation of the states.
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 USA Mathematical Talent Search (USAMTS)  The Art of Problem Solving Foundation
The USA Mathematical Talent Search (USAMTS) is a free mathematics competition open to all United States high school students that emphasizes problem solving and mathematical writing. Funded by the National Security Agency, USAMTS was initiated by George
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 USAMO/APMO/IMO/Putnam Archive  Kiran S. Kedlaya
Questions from some recent math competitions, in LaTeX or postscript format: the USA Mathematical Olympiad (USAMO) for high school students [19891999]; the Asian Pacific Mathematical Olympiad (APMO), a regional olympiad among countries on the Pacific
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 U.S. Census Bureau
Information (searchable by keyword and browseable by subject) from summary data files across cities, towns, counties, states, and other geographic and demographic boundaries, useful for many purposes from allocating representation in legislative bodies
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 U.S. Department of Education
Extensive and varied education information in categories including: educational initiatives (President's and Secretary's priorities), funding opportunities, student financial assistance, research and statistics, news and events, programs and services,
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 Use A Chair To Teach Math (SMILE)  Laura B. Reed, Rosa L. Parks School
A lesson designed to teach students some basic operations of math through measuring a chair. Sample questions: What size box would it take to mail the chair? Could two chairs fit in the same box? How many chairs could fit in this room? What area of space
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 Useless Facts about Pi  Paris
Facts "so useless not one of them has much bearing on pi's value": Euler's Relation; Irrationality (Niven's proof); Transcendence; Quadrature of the Circle with ruler and compass; The Content of nSpheres.
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 U.S. Energy Information Administration (EIA)
Links to facts/statistics on energy topics from A to Z: acid rain and air conditioning to world energy data on coal consumption, electricity prices, natural gas and oil consumption, and more. With tables, graphs, articles (some in PDF format), a Windows
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 Usenet FAQ Archive : Recreation : Puzzles  Netmeg Internet
Problems and puzzles, with solutions, from the rec.puzzles archives, in the categories: analysis, arithmetic, combinatorics, competition, decision, geometry, group, induction, instructions, language, logic, physics, pickover, probability, real life, references,
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 U.S. Geological Survey  U.S. Department of the Interior
Scientific factfinding and research organization of the U.S. Dept. of the Interior; the principal source of scientific and technical expertise in the earth sciences within the U.S. Federal Government. Includes The Learning Web, where Teacher Developed
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 Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation that illustrates the use of iteration, recursion, and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect
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 Using A RoundOMeter To Estimate (SMILE)  Kathleen M.K. Pidrak, Edward H. White School
A lesson designed to teach rounding of numbers to the nearest dollar or nearest dime. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Using Children's Literature in Mathematics  Elaine Young
A list of children's books (with authors) that can be used in math lessons.
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 Using Diagrams in Problem Solutions (SMILE)  Angel L. Torres, Peabody School
A lesson for grades 78 designed to teach students to use tables, graphs, and diagrams to obtain information; and to construct tables, graphs, and diagrams to collect data. From the Patterns and Logic section of a collection of almost 200 single concept
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 Using Manipulatives  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: What role can manipulatives play in the classroom?
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 Using Mathematica in the Mathematics Classroom  Univ. of Illinois
A course module designed for high school and lower division college mathematics teachers who are beginners with Mathematica and who want to learn to use this software package to create transparencies and handouts, computer demonstrations, and interactive
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 Using Sketchpad: Circles  Jim King, University of Washington
A sketch illustrating families of circles orthogonal to a given circle or line, which give some motivation for the idea of reflecting a point across a line or circle. Notes on Jim King's presentation at the Sketchpad User's Group Meeting in Cincinatti
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 Using Sketchpad: Conics  Peter Andrews, Eastern Illinois University
Two sketches illustrating techniques for constructing general conic sections, one on Isaac Newton's Organic Construction and one on the MacLaurin/Braikenridge construction of a general conic. Notes on Peter Andrews' presentation at the Sketchpad User's
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 Using Sketchpad in Calculus  Doris Schattschneider, Moravian College
Three sketches about parametric equations of curves and a sketch about a (then) unsolved problem about perpendicular bisectors of quadrilaterals. Notes on Doris Schattschneider's presentation at the Sketchpad User's Group Meeting in Cincinatti in January
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 Using Sketchpad: Triangles  Mel Thornton, University of Nebraska
A sketch about relations between the areas of certain triangles, and another about how to perform translations using only a compass. Notes on Mel Thornton's presentation at the Sketchpad User's Group Meeting in Cincinatti in January 1994.
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 Using Symmetry to Create A Community Quilt (SMILE)  Beverly Brown, Hedges West
A lesson for grades 412 designed to teach students about line and reflectional symmetry through cooperative work on a quilt with four lines of symmetry. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science
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 Using Technology to Enhance Engaged Learning for AtRisk Students (NCREL)  Barbara Means; Pathways to School Improvement
A "critical issue": An increasing number of educators are calling for high standards and challenging learning activities for atrisk students. New technologies can provide meaningful learning experiences for all children, especially those at risk of educational
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 Using Technology to Support Education Reform  Means, Blando, Olson, Middleton, Morocco, Remz, & Zorfass
1993 publication of the Office of Educational Research and Improvement, U. S. Department of Education. Includes sections on educational technologies, support for student learning activities, support for teacher functions, effects on student achievement,
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 Using Technology to Transform Mathematics Teacher Education: An Example from Graphing Instruction  Lisa Denise Murphy
An examination of how an example of a use of technology in mathematics education  microcomputerbased laboratory (MBL) work used to teach students about line graphs  fits Pea's framework (the effects of transformation are less predictable than those
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 Using the Balance (SMILE)  Marie Davis, Marconi Community Academy
A lesson designed to teach students to use an equal arm balance to determine the mass of an object by comparing it with the mass of objects whose mass in grams
is known; and to use graph paper to construct a bar graph. From the Algebra and Trigonometry
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 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Geometer's Sketchpad  Jeremy Bartusch, revised by Tony Peressini and Tom Anderson
An interactive tutorial on how to use the Geometer's SketchPad software, and an introduction to how this application can be used to teach geometry and to produce classroom resources with plane geometry components. Sponsored by the University of Illinois
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 Using Variables And Ratios To Get You In The Right Gear (SMILE)  George K. Smith, Dunbar Vocational High School
A lesson designed to teach students to apply the concepts of variable and ratio in everyday situations; determine the gear ratios and gears for a 12speed bicycle; and write a computer program that will determine gears using the bubble sort technique.
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