MATHEMATICS WEB SITES
Would you like to earn a million bucks for solving a math problem? Read on!
The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven Millennium Prize Problems. The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The Board of Directors of CMI designated a $7 million prize fund for the solution to these problems with $1 million allocated to each.
Mathematical Organizations
The American Mathematical Society
The Mathematics Association of America
The National Council of Teachers of Mathematics
Online Calculators
Web Math: Part of schooldiscovery.com, this sight has many interesting calculators that do mathematics like graphing points on a number line and multiplying polynomials.
Science Made Simple Conversions Page: This calculator does various unit conversions.
Encyclopedia of sequences: This remarkable calculator will take an integer sequence and match it to one in its library. If there is a match it will provide more terms, a name for the sequence, references, practical examples of it, and even Maple code for generating it!
Logic Table Applet: A nice applet for constructing truth tables for logic statements.
WolframAlpha: According to the web site this is an “online computation knowledge engine.” Regardless of what you call it, this is a remarkable web site!
Math Calculators: A nice web page with links to all kinds of calculators that compute everything from a grade point average to the number of days you have been alive. This site was brought to my attention by Samantha and her teacher Nancy Gardener in the Mesa Valley School District in Colorado.
History of Mathematics
The MacTutor History of Mathematics Archive: This site contains a large collection of biographies.
Euclid's Elements: A wonderful HTML version of Euclid's Elements. It contains lots of explanatory text and diagrams. Many of the diagrams are java applets that can be manipulated to help in understanding the theorems.
aleph0.clarku.edu: This is the web site where the abovementioned version of Euclid's Elements can be found. There is more information on the history of mathematics history here, including material on David Hilbert's 23 famous problems in his address to the International Congress of Mathematicians in 1900.
http://www.agnesscott.edu/lriddle/women/women.htm A collection of biographies of women in mathematics. The biography of Sophie Germain is a favorite with students.
A Modern History of Black's in Mathematics: This site contains a large collection of biographies of Black's in mathematics.
The Traveling Salesman Problem: This site has a short history of the TSP and some nice images of different optimal routes for trips in the US, West Germany, and the world.
Archimedes' Method: An example of Archimedes' Method. In The Method, Archimedes writes of a mechanical method he used to compare the weight of geometric figures against each other in order about their areas and volumes.
Johann Carl Friedrich Gauss: A nice biography courtesy of the MacTutor History of Mathematics Archive.
Gauss and Ceres: A student paper written by Leorah Weiss (Rutgers, 1999) that discusses Gauss’s work on the orbit of Ceres. Gauss’s used linear regression to help him predict the orbit of Ceres when it was first discovered.
Calculus
Calculus applet: This applet demonstrates that the slope of a secant line approaches that of a tangent line.
The Integrator: This calculator will do many of the standard integrals of the calculus. It was design by Wolfram Research—the designers of Mathematica one of the more popular computer algebra systems.
Miscellaneous
Graph Paper Printer: Generate various kinds graph paper: polar, rectangular, logarithmic graphs are all possible.
MathTeacherEdu.org: "MathTeacherEDU.org was created to give aspiring math teachers the tools they need to prepare for a career dedicated to preparing America’s youth for the global job market of the 21st century."
Mathworld: An online encyclopedia of mathematics.
Focus Article Reprint: This is an interesting article on teaching mathematics to the Liberal Arts student from the December 2000 issue of the MAA newsletter Focus.
The Merlot Project: A collection of material for classroom use.
The Greek Letters: Not satisfied with bringing the English alphabet into mathematics, mathematics teachers insist on using the Greek alphabet as well. Here is a nice website that lists the Greek alphabet and gives the pronunciation of each letter.
Cut The Knot!: A fun site containing lots of short essays on interesting mathematical problems illustrated with applets.
Ask Dr. Math: A wonderful site that provides students and teachers with answers to mathematical questions which typically arise in elementary school, high school, and college classes.
Math Words: A great site for those searching for the origins of words used in mathematics! A statistics student once asked me where the term ogive, a cumulative frequency distribution, came from. This site provides the answer.
Secret Worlds: The Universe Within: A java applet takes the user on a trip from the outside of the Milky Way, to an oak tree on the Florida State University Campus, and on to the quarks in the atoms of a carbon molecule in the tree. It was created by Michael W. Davidson at Florida State University.
Master Math & Logic Online: A nice resource of for entertaining mathematical puzzles and games. Veronica in Mrs. Suzie's third grade class suggested I add it to my list.
Gottfried Leibniz: A short biography of one of the creators of the Calculus.
Sir Isaac Newton: A short biography of one of the creators of the Calculus.
Galileo Galilei: Galileo is credited with being the first to show that ideal projectile motion is parabolic. The linked page discusses Galileo’s reasoning and includes a drawing from his manuscript on the subject – Galileo’s Analysis of Projectile Motion.
Links to More Mathematics Sites
Community College of South Nevada List of Sites: This site contains a large list of links to web sites which have mathematical content of interest to educators.
Ambrioso 2012
