Links to other math resources

selected by Dick Aufmann

Many of the web sites listed below are from organizations that we anticipate will maintain their pages. However, web pages come and go. If you have trouble getting into a site, try backing up a few directories and then try again.

The Center for Education Integrating Science, Mathematics and Computing: A center at the College of Sciences at Georgia Institute of Technology. Includes the Virtual Institute, which introduces teachers to technology, connects them to the Internet, encourages collaboration, and provides training and resources. Other programs in Science, Technology and Mathematics for Teachers, Students, and Underrepresented Students.

Math archives: Links to many different sites. Some of these include:

• Calculus Resources On-line
• Graphing Calculators
• Electronic proceedings from many national conferences including ICTCM.
• Software sites
• Liberal arts math

Java and other interactive WWW pages: Related to the site given above. This URL takes you directly to Java sites which in turn link to sites which offer simulations. This page lists several interactive mathematical pages. Many of the pages contain interesting JAVA applets that let you change parameters and observe the results.

Topics in Mathematics: Another site related to the two above. This is an excellent site to search for specific math topics.

Galaxy: Basically a homepage that allows you to link to other sites. Includes links to professional organizations, electronic journals, software, and specific math topics.

The Integrator: A Mathematica-based web page that uses Mathematica's integrator to find the indefinite integral of a function you input.

Newton's Method: Solve equations using Newton's Method. There is a link from this page to an electronic calculator that will, among all the typical calculations, find the sum of a series.

Math Virtual Library: A page of links to newsgroups, mathematics gophers, journals, math departments, and various other links. A place to go when you are searching for a topic on the internet. If you have trouble with this link, try http://math.fsu.edu/Science/math.html

Mathematics Gophers: A link to gopher sites. These have a tendency to be bland (no graphics) but contain good information.Try gopher://cfata9.harvard.edu/11/SLATEC for some FORTRAN programs for, among other things, numerical integration.

Math Forum Internet Resource Collection: Internet based projects for many disciplines for students and teachers.

Educational Space Simulation Project: Links to Mars space project, simulation software.

Having Fun with Hydra!: One of many examples of fractals.

The Geometry Center: This is one of the best web math sites available. The name is sometimes confusing because the geometry is not like you learned in high school. There are many different interactive activities for students - one example, Build a Rainbow allows students to see the effects of light being refracted and reflected by a raindrop thus producing a rainbow (requires some calculus).

MacTutor History of Mathematics archive: This is an excellent site to visit for information on the history of mathematics. There are links to many different areas.

Famous Curves Index: This is an example from the site given above. There are more than thirty different curves that can be modified by changing the parameters of the equation of the curve.

Mathematics Information Servers: Links to other math sites.

Euclid's Elements: The goal of this site is to have all of Euclid's Elements available as partially interactive proofs. The figures associated with each theorem have anchors that may be moved to show how the theorem applies as the figure is changed from the default figure. Each proof contains links to other definitions and theorems needed in the proof. This is the directory level for this site. Select one of the *.html files to see an example of a proof.

Buffon's Needle: An Analysis and Simulation: An interactive Buffon Needle web site.

Topology enters mathematics: Konigsberg bridge problem with its history and other information that is not normally given with this problem.

http://www.math.ubc.ca/javamath/: This index contains links to interactive Java sites. Two of these are:

An amusing property of the Catenary (Java animation): This gives an interesting animation using a catenary.

An Interactive Proof of Pythagoras' theorem: This is an excellent animated proof of the Pythagorean Theorem.

Calculus@Internet: An ongoing project to make teaching calculus easier. This is still under construction but the plans for this site are ambitious. There is a link to the 20 best calculus sites (according to the web page author).

Ticalc.org: Everything about the TI-80, 81, 82, 83, and 92 including programs that can be downloaded.

Sharp Calculators: Everything about Sharp calculators.

Oregon State University's Department of Math: CalculusQuest is an on-line differential calculus course (first semester) offered by Oregon State University. When you are asked to sign-on, use GUEST as name and GUEST as password.

Vermont Portfolio Program: A link to other math sites. These links connect you sites dealing with problem solving, AMATYC and NCTM standards, Eisenhower National Clearing House, and many others.

Interactive Mathematics Miscellany and Puzzles:This site is a link for many other sites. You can find interactive geometry, probability problems, proofs, games, and puzzles, and a host of other information.

A Brief Course in Fuzzy Logic and Fuzzy Control: This is an excellent article about Fuzzy Logic and some of its applications. Show your students examples of how basic concepts of sets, set operations, and linear equations, can be applied in such areas as minimizing vibrations in camcorders, control of air-conditioning systems, assessment of stock exchange activities, hand-writing recognition by computers, and improving the cruise control in automobiles.

Eric's Treasure Trove of Mathematics: This is a wonderful encyclopedia of mathematical topics. If you are looking for information about a mathematical topic, this is worth a try. Eric W. Weisstin has put together an extensive listing of mathematical topics. If you enjoy this page, please send your comments to Eric Weisstein at eww6n@virginia.edu

Chaos in the Classroom: By Robert L. Devaney of Boston University. This page introduces the mathematics of fractals and chaos. The links provided:

• The Chaos Game
• The Sierpinski triangle.
• Why does the Sierpinski triangle arise from the chaos game?
• Playing the chaos game in class and on the web
• Self-similarity
• Fractal Dimension
• Changing the rules in the chaos game
• Rotations and Animations
• Summary
• References

Fibonacci Numbers and Branching Plants: Lots of information about the Fibonacci sequence and nature. The links include:

• Fibonacci numbers and branching plants
• Petals on flowers
• Seed heads
• Leaf arrangements
• Fibonacci Fingers?
• Other WWW links on Phyllotaxis, the Fibonacci Numbers and Nature

Unsolved Mathematics Problems: The page also provides many links to unsolved problems. Many of these problems are of interest to college students because they are easy to state and understand but as of this date no solution has been discovered.

Three Door Puzzle: This is an interactive JAVA applet that demonstrates the famous Three Door Puzzle. This puzzle is also known as the Monty Hall problem or the Ask Marilyn problem. A full explanation of this problem is given and it even provides a solution for the N-Door Generalization.

The Vector Cross Product- A JAVA Interactive Tutorial: This interactive JAVA applet illustrates that the vector cross product of two vectors is a vector with magnitude equal to the area of the parallelogram spanned by the two vectors. It allows students to adjust the length of two vectors and the angle between the vectors and then observe the magnitude and direction of the cross product of the two given vectors.

Search Engines

Platinum technology's list of search engines:This is a link to Alta Vista, Yahoo, Lycos, Galaxy, InfoSeek, WebCrawler, and more.

Alta Vista: Search engine extraordinaire. Be sure to download the help files for simple and advanced search techniques.

Excite: Prettier than Alta Vista. Not all search engines return the same sites.

Yahoo: Nicely organized. No specific mention of math but there is a lot of math to be found from this site.

Infoseek: Nicely done. Again, no specific mention of math but can be used to search for topics in mathematics.

Webcrawler: Nicely done.

Webtaxi: A site that allows you to go to a subject (mathematics) and then select the search engines that are available for just the subject. A good concept but Alta Vista, Excite, and Yahoo are probably better bets.