 On Constructivism  Susan Hanley
"The constructivist approach opens new avenues for learning as well as challenges for the teacher trying to implement it." Hanley outlines problems in traditional teaching methods, describes constructivism as a possible solution, and reviews research
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 On Deciding Whether a Surface is Parabolic or Hyperbolic [PDF]  Peter G. Doyle
An application of Rayleigh's method to the classical type problem for Riemann surfaces, which is really just the same random walk problem, only instead of walking around on an infinite graph the walker is diffusing around on a surface. The aim will be
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 Online Ag Advisor  Royal Bank of Canada
An interactive tool designed to assist farm managers in assessing the strength of their management position. Based on the techniques of Dr. David Kohl, this tool will analyze responses from several key areas and provide recommendations and benchmark analysis.
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 Online Calculator  Cody Miller
Online Calculator features include: RPN, unit converter, base conversion, polynomial solver, equation solver, complex number support, and decimal to fraction conversion. Site includes reference sheets for algebra, geometry, trigonometry, and calculus
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 Online Calculator Software  PeoriaDesignWeb.com
Online Calculator Software is a collection of webbased online calculators to solve a variety of routine calculations. The tool is designed as an online spreadsheet and is meant to mimic the way a spreadsheet is set up. The only difference is the spreadsheet
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 Online Chemistry Calculators  David Hsu
Convert units of energy, pressure, volume, temperature, mass, and power, or make calculations using the ideal gas law and different units.
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 Online Classifieds (NCTM)  National Council of Teachers of Mathematics
An advertising service of nctm.org. Listings of jobs (positions available and wanted in math education), math announcements, and math products online.
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 Online Clinical Calculator  Division of General Internal Medicine, Medical College of Wisconsin
Includes a Bayesian Calculator (calculates test sensitivity, specificity, predictive values, and likelihood ratios) and numerous clinical formulas (Aa Gradient, Anion Gap, Estimated Blood Level, Body Surface Area, Body Mass Index, Estimated Creatinine
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 Online Columns (MAA)  Mathematical Association of America
Links to recent articles and archives of past columns from math writers hosted by the MAA: Ivars Peterson's MathTrek and Math Muse; Devlin's Angle; Math Chat, by Frank Morgan; Cut The Knot! by Alex Bogomolny, an interactive column using Java applets;
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 Online Dictionary of Combinatorics  Joe Fields
An online dictionary of combinatorics by a doctoral student at the University of Chicago. The dictionary is navigable by letters of the alphabet, and contains a few illustrations. Entries range from Abelian to Zorn's Lemma, and include several resources
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 OnlineEducation.com
A portal for online and distance learning programs that offer bachelors and masters' degrees in mathematics and statistics.
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 Online electronic textbook of college level Mathematics  Peter Fekete
An online electronic textbook, specifically for A level courses from AQA, OCR, Edexcel. Suitable for many American university undergraduate courses. 5,700 pages of text and questions. All questions have worked solutions.
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 OnLine Encyclopedia of Integer Sequences  The OEIS Foundation Inc.
Before publishing that new sequence you have just found, you might want to check here to see if it's already been discovered. Directions for how to look up a sequence in the table, abbreviations used, sending in a new sequence; how to look up a reference
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 OnLine Geometric Modeling Notes: Bernstein Polynomials  Ken Joy; Computer Science Dept., UC Davis
Notes about one of the commonly used bases for the space of polynomials, the Bernstein basis, with a discussion its many useful properties. Available on the Web and in PDF format.
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 Online Graphing Calculator: 1Click Delivers Complete Graph  Barry Cherkas, WebGraphing.com
Online graphing calculator with automatically optimized viewing window plus stepbystep details to help answer any graphing questions. Calculus results include determining derivatives and finding local maxima, minima, points of inflection, and more.
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 Online Gröbner Basis Calculations  Michael McGettrick, National University of Ireland
Enter generating polynomials for the ideal I to calculate its Gröbner basis, minimal Gröbner basis, or reduced Gröbner basis, which can be used for finding the solution to simultaneous polynomial equations and for determining the existence
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 Online journal publication: two views from the electronic trenches  Jonathan Borwein (CECM), Richard Smith (CPROST)
A report on the experiences of two sets of scholarly publications, the Canadian Mathematical Society and the Canadian Journal of Communication, during their adoption and deployment of new electronic media, drawing on the authors' firsthand experience
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 Online lessons: The NewtonRaphson Method  Kostas, Lambros; Aristotle University of Thessaloniki, Greece
An experiment in computerbased training using the Web: an online lesson on the NewtonRaphson method for solving nonlinear equations and systems of equations. The lesson includes text, sound clips, animation, and links to related computer programs. Contents:
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 OnLine Logic Book  Johan Mårtensson
An introductory text, with accompanying Java teaching tools for specific topics. Includes an introduction to logic itself and chapters on ontology and semantics.
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 Online Math
Oneonone online tutoring with a former secondary and college math teacher. Skype or email your first math question, answered free; for subsequent problems, negotiate fees, transferrable by PayPal.
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 Online Math Calculator
This collection of free online calculators includes a scientific calculator that accepts inputs of entire matrices and equations, calculates derivatives, and plots functions. Onebutton unit conversion calculators convert between Celsius and Fahrenheit,
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 Online Math Calculator  Tom Flowers, Mintmark.com
A free Webbased math tool: simple calculator with inverse and exponent functions and the four trig functions.
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 Online Matrix Calculator  Trifon Triantafillidis, Bluebit Software
This is an online matrix calculator, featuring Determinant calculation, LU Decomposition, Matrix Multiplication, Matrix Trace, Cholesky Decomposition, Systems of Linear Equations, Matrix Rank, QR Decomposition, Matrix Inverse Singular Value Decomposition,
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 Online Ordering and Customer Service Center (AMS)  American Mathematical Society
The AMS Bookstore  a searchable catalog of over 2500 books, videos, journals, software and gift items from the AMS and participating publishers; also MathSciNet and TeX Resources; other special orders (featuring the MathDoc Document Delivery Service
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 Online Resources  Georgia Tech School of Math
Syllabi, course notes, problems, and Maple worksheets for single and multivariable calculus, linear algebra, statistics, and a Math for Management course (statistics, probability, sets, and some calculus). The site also contains sample exams for calculus
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 Online Scientific Calculator  Alcula; Giorgio Arcidiacono
An advanced scientific calculator that performs calculations on real or
complex numbers.
The results of expressions are displayed as fractions as well as in their
floating point approximations.
An editable expression history allows to update previous
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 Online Spreadsheet Software  PeoriaDesignWeb.com
A simple program to share and edit a spreadsheet online, useful for displaying and editing an Excellike spreadsheet that multiple users need to edit.
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 Online Statistics: An Interactive Multimedia Course of Study  Rice University, University of Houston, Clear Lake, and University of Houston, Downtown
An introductorylevel statistics book. The material is presented both as a standard textbook and as a multimedia presentation. The book features interactive demonstrations and simulations, case studies, and an analysis lab.
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 Onlineunitconversion.com
Oover 225,000 conversions, togethr with explanations of their history and use.
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 On Motivation and Understanding  Cut the Knot!, Alexander Bogomolny
Fourth in a series of columns that draw on Frank Morley's fundamental paper On the Metric Geometry of the Plane nLine  dealing with what amounts to his proof of the Trisector Theorem. Bogomolny outlines Morley's reasoning first and then supplies necessary
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 OnSolver.com  Aliaksei Shamau
Evaluate indefinite integrals, definite integrals, derivatives, limits, differential equations (powered by WolframAlpha), matrices, and systems of equations (original JavaScript) by using the pulldown menus or typing directly in the fields.
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 On the 3x + 1 Problem  Eric Roosendaal
Numerical data and some conjectures on this problem, also known as the Collatz problem or the Syracuse problem. All numbers up to 29,300 * 10^12 (~ 26 * 2^50) have been checked for convergence.
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 On the Area of the Mandelbrot Set (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
One can upper bound this area by filling the area around the set by disks, or lower bound it by counting pixels; strangely, Stan Isaacs notes, these two methods do not seem to give the same answer. From the newsgroup alt.fractals.
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 On the Bass Note of a Schottky Group [PDF]  Peter G. Doyle
Using a classical method from physics called Rayleigh's cutting method, Doyle proves the conjecture of Phillips and Sarnak that there is a universal lower bound L2 > 0 for the lowest eigenvalue of the quotient manifold of a classical Schottky group,
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 On the Evolution of Islands  Doyle, Mallows, Orlitsky, Shepp
On islands and seas: an island is a maximal set of adjacent marked cells in a ring or row; a sea is a maximal set of adjacent unmarked cells. An inductive proof and a countingargument proof. A paper that appeared in the Israel Journal of Mathematics.
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 On the Horizon (OTH)  School of Education, University of North Carolina (UNC)
OTH Online: the electronic version of the print publication, with the full text of prior volume years. Also the HORIZON mailing list, seminars and workshops, conferences, and presentations to explore and extend the educational community's thinking about
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 On the Minimax Sphere Eversion  Rob Kusner, Mathematics and GANG, Univ. of Massachussetts at Amherst
A brief paper describing the evolution of the animation of the minimax sphere eversion. Does not include the animation itself.
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 On the Puzzles with polyhedra and numbers  Jorge Rezende
Several articles in PDF format, with related links: one on a set of didactic puzzles published by the Portuguese Mathematical Society (SPM); "Jogos com poliedros e permutações", an article in Portuguese describing puzzles with polyhedra
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 On the Square  Paul Kunkel
Given four arbitrary, unique points, A, B, C, and D, construct one line through each point such that the four lines form a square.
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 On the Teeth of Wheels (Computing Science)  Brian Hayes, American Scientist
A little history on the importance of gears in the history of computing and the importance of computing in the history of gears. "Designers of gear trains have not merely borrowed ideas from mathematics but have also developed some of those ideas on their
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 On This Day in Math  Pat Ballew
Mathematically significant events, births, deaths, and more, posted every calendar day. Ballew's blog reveals his thoughts on teaching math. His links and explanations written using The Geometer's Sketchpad include triangle medians; angle bisectors in
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 .oO worksheeps  Felix Heckert
Generate worksheets of customized math exercises, complete with solutions: basic operations with integers, negatives, and fractions; binomial and quadratic formulas; partial roots; percent calculation; curve sketching; metric; derivations; antiderivatives;
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 Open Directory  Science: Math  Netscape
A comprehensive directory of math sites on the Web, listing links of mathematical interest by general topics, math topic, and site name.
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 Open Directory  Science:Math:Statistics  Netscape
A comprehensive directory of statistics sites on the Web, listing links of statistical interest by general topics, statistics topic, and site name.
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 OpenIntro  David Diez and Chris Barr, CoFounders
The OpenIntro Statistics textbook the inaugural effort from these makers of educational products that "are free, transparent, and lower barriers to education"  comes with data sets for the statistics software package R; normal, t, and chisquare probability
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 Open Logic Project
An opensource, collaborative textbook of logic and formal methods, starting at an intermediate level, aimed at a nonmathematical audience. Completely rigorous, the Open Logic Text text strives for modularity, configurability, adaptability, and integration
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 OpenMath
A language for communicating mathematical data between computer programs. Its purpose is to enhance different programs capable of handling mathematical data, such as symbolic algebra packages, typesetters, Web browsers, and the like, by providing a basis
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 Open Mathbook  Albert Schueller
Blog to "promote, discuss, and develop free and open source mathematics textbooks." Posts, which date back to December, 2011, have included "Saylor.org: Open Textbook Prize"; "Free DE and Real Analysis Titles from William Trench"; "JSXGraph: online interactive
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 OpenMathText.org  David A. Santos, Alain Schremmer
OpenMathText.org is a depository of free, downloadable texts and is primarily dedicated to the specification, development, and dissemination of free, editable and downloadable mathematical texts aimed, mainly, at "just plain folk." OMTo invites registrants
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 OpenMath  The OpenMath Society
An extensible standard for representing mathematical objects with their semantics, allowing them to be exchanged between computer programs, stored in databases, or published on the web. Intended for those working with mathematics on computers, for those
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