MATH
Algebra
Geometry
Trig
Calculus
Fractals
Teacher Resources

This page is the handiwork of Fred Koch, a former member of our math department. Fred reviewed hundreds of internet math sites and selected those he considerd best.

 

ALGEBRA

Abstract Algebra On Line: This site contains many of the definitions and theorems from the area of mathematics called abstract algebra. It is intended for undergraduate students http://www.math.niu.edu/~beachy/aaol/

Famous Curves Index: A great site for the Alg II or Pre-calc course http://www-cm.math.uiuc.edu/

Math software: Assorted math software. http://archives.math.utk.edu/software.html

Interactive Diagnostic Tests: A series of three tests for algebra: beginning, intermediate and advanced. The advanced includes exponential and logarithmic equations. Answers are supplied.Well done. http://www.webclass.asn.au/

Problem Solving: An extensive program for teaching word problem solving. Seemed very good. Well worth looking at. http://www2.hawaii.edu/

WebEq: This is a technical site. You can download a free and very powerful equation editor that will also create visuals for you. It is located in the U. of Minnesota Geometry Center. From the home page, you will find the WebEq subpage. This is well worth the time to look for. http://www.webeq.com/webeq/


GEOMETRY

Geometry problem of the week: Solve this week's problem. Explore the archives for other challenges. http://forum.swarthmore.edu/geopow/

Euclid's Elements: This site contains the 13 books of Euclid's Elements. The value here is that every diagram associated with a theorem, is self-animating. One can see the diagram move in a variety of ways, always maintaining the conditions of the theorem. This is so fascinating that I spent far too much time here, browsing, and wishing that I were teaching geometry again. (This is a great place to send students to see what Euclid is all about.) http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

Geometry Junkyard: This is a collection of the odd but fascinating bits and pieces of very interesting geometry that doesn't really fit into any more standard category. I spent so much time here, totally interested. http://www.ics.uci.edu/~eppstein/junkyard/

Connections +: A very good site to explore. Find the subheading Math and click. You'll find the Geometry Junkyard there, also. As I went back and looked again I found more of interest. Particularly interesting were the sites devoted to polyhedra and polytopes. Some sites have lesson plans associated with them. This is a treasure trove of cool stuff in geometry http://www.mcrel.org/connect/plus/#math

Famous Curves Index: There are many famous curves that I have never seen before, just heard of. While this is not strictly a geometry site, it is worth a look. What a playground. With Javascript then many of the curves become interactive. Ie. The Lissajous curves. http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html

NonEuclid: A very interesting, interactive site exploring the math and the understanding of Non-Euclidean geometry using straight edge and compass constructions from the point of view of the Riemann model. Good way to go. Perfect for the better student.http://riceinfo.rice.edu/projects/NonEuclid/

MSDOS Software Collection for Geometry: A comprehensive collection of software (shareware, freeware, and commercial) to be used in the teaching of geometry. This is different from the collection in the Geometry Center website. http://archives.math.utk.edu/software/msdos/geometry/.html


TRIG

Famous Curves Index: Many famous curves that I saw for the first tiime. With Javascript, many become interactive, ie. Lissajous curves. http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html

MtL-Trigonometry: A complete course in Trig, interactive via java applets. Parts are still under construction. Very nice otherwise.This could be used effectively as a supplement to the course being taught. http://www-cm.math.uiuc.edu/


CALCULUS

Writing Assignments in Calculus: A very clever and innovative way to get students to write a paper using mathematics. I was delighted to see this site. Several of our writing aids have a math background. http://www2.wheatonma.edu/academic/academicdept/MathCS/Faculty/tratliff/writing/

Famous Curves Index Famous curves: many I saw for the first time. With Javascript, many become interactive, ie. Lissajous curves. http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html

TI Calculators. An interactive page for the use of the TI calculators: The first is the home page. And the second is specifically for the educational uses for a variety of TI Calculators. http://www.ti.com/calc/docs/activities.htm

The Integrator: This seems to be a good, interactive integral calculator. It is perhaps not much more than a very complete sourcebook of integrals. Needs some exploration to see just how extensive it is. http://www.integrals.com/

MATLAB to C++ compiler: Could be very useful to someone who knows C++. http://www.mathtools.net/

AP Calculus: This is an extensive site devoted to preparing for the Calculus AP Test. It lists two AP Calculus Problems of the Week, The site includes links to previous problems of the week, their solution, and other items of interest to AP Calculus teachers and students. There are extensive tutorials. Very interactive.http://www.seresc.k12.nh.us/www/alvirne.html

calculus@internet: Four internet sites (more coming) all devoted to aspects of calculus. And interactive graphing site, with color available. Easy to work and gets good results. http://www.calculus.net/

Interactive Learning in Calculus and Differential Equations: with Applications For Mac's. A very interactive plotting and solving site for calculus students.http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

Function Grapher: An on line java graphing utility. This is very extensive, but easy to use http://www.hofstra.edu/~matsrc/Graf/Graf.html

Finite Mathematics & Applied Calculus Resource Page: This is the home page for Hofstra Univ. On-line interactive tutorials, game theory simulators,and calculus topics. On-line math utilities. http://www.hofstra.edu/~matscw/

Interactive Tutorial on Parametric Equations: This is a clever and very clear presentation. http://members.aol.com/kchs99/calc/problem.html

Catalog of Software: A Catalog of software, (freeware, shareware, and commercial). A comprehensive list of programs available. http://archives.math.utk.edu/software/msdos/calculus/.html

University of Arizona freeware programs: A comprehensive list of the usually excellent freeware programs available from the U. of A. They include a wide variety of topics.http://archives.math.utk.edu/azmath.html

Connected Curriculum Project: An Interactive and Interdisciplinary Program from the U. of Montana. This seems to be a rather complete program although parts of it seem to be under construction. What I saw was interesting. http://www.math.montana.edu/~frankw/ccp/calculus/topic.htm

University Calculus Sites: A generic list of mainly University sites involved in the teaching of calculus. Many of them are interactive. http://archives.math.utk.edu/calculus/crol.html#MIT

Calculus Tutorial. From the Univ. of Akron: another calculus tutorial. Somewhat academic. Slow. http://www.math.uakron.edu/~dpstory/e-calculus.html

Differential Equations: An extensive diff. eq. Site. Very interactive.http://www.ualr.edu/~erkaufmann/detech/detech.html


FRACTALS

Fractal Pictures: Serves as a resource for fractral images that show the concepts of chaos theory(geared to K-12). http://www.lerc.nasa.gov/Other_Groups/K-12/fracpage.html

The Fractal Microscope: Provides information of basic fracrtals, why they should be discussed, their purpose in the real world. http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html

Great Fractal Site I: (Great fractal pictures.Printable.)(This is included below. Great wallpaper.)Arts: Visual Arts: Computer Generated: Fractals http://www.cnam.fr/

Great Fractal Site II: (This site is so full of beautiful fractals, all downloadable, that after a while I simply ran out of time. I may paper the wall behind the computer with these print-outs.) http://sprott.physics.wisc.edu:80/fractals.htm

Great Fractal Site III: An exceptionally interesting site. Not only does the author give the mathematics and the formulae for computing many fractals, but he describes the processes. Then gives a gallery of his art work. Some of which is quite lovely. Well worth a visit.http://www.willamette.edu/~sekino/fractal/fractal.htm

The Stanford Collection of Fractal Pictures: A collection of more mathematically inclined fractal pictures usingpolynomial and quaternion methods. Other links also.http://ccrma-lwww.stanford.edu/~stilti/images/chaotic_attractors/nav.htm

A Fractals Lesson: This is an interactive site teaching some elementary fractal facts.http://math.rice.edu/~lanius/frac/

Spanky's Page: This is an encyclopedic compendium of fractal image siteshttp://spanky.triumf.ca/

Boston University: I have saved the best for the last. A great site with lots of color,beautiful sets and a lot of math and understanding. http://math.bu.edu/DYSYS/papers.htm

The Fractals calendar home page:Provides information on obtaining the Fractal calendar, a calendar specifically designed to show off some of the newer discoveries in fractal mathematics. Also offers previous editions of the calendar. http://links.uwaterloo.ca/

Wolfram Research. Makers of Mathematica: This is the home page for Mathematica. A commercial product. Provides product information, news releases, a demo, and an electronic library. Also offers training tour and a graphics and sound gallery. http://www.wri.com/

Fractal Source Page: Scroll down to #65 to #103. All Fractals. Some may be repeats of stuff above. http://www.wco.com/~ejia/EDU/math.htm#*MATHEMATICS*


TEACHER RESOURCES

The Art of the Abacus: Visually shows the four functions. Well done. http://www.ee.ryerson.ca:8080/~elf/abacus/

Archimedes home page: Everything you want to know. Well done. http://www.mcs.drexel.edu/~crorres/Archimedes/contents.html

The Beginnings and the Art of Algebra: An extensive exploration of the beginnings of Algebra with comments on notation. The start was fascinating to read. http://www.lib.virginia.edu/science/parshall/algebra.html

Six Special Topics: A collection of one pagers on various topics. Pythagorean theorem, Archimedes' tombstone, Mobius strip, the Snowflake curve, Plateau's problem, and counting to infinity. Each page is well done. http://scidiv.bcc.ctc.edu/Math/MathSnips.html

Mathematical Snapshots of Some Famous Mathematicians: One page devoted to the mathematician, most include a picture. http://www.siue.edu/

History of Math Web page list: Several sources for web pages related to the history of math. Some are listed above also.http://sunflower.singnet.com.sg/~lambert/history.htm


OTHER MATH RESOURCES

Almost Like Games: math miscellaney: a collection of math problems, many with interactive Java animations. Makes math fun. http://www.cut-the-knot.com/

Ask Dr. Math: Get help for all sorts of math problems. http://forum.swarthmore.edu/dr.math/dr-math.html

Fibonacci Numbers and Nature: I guess if you're a mathematician you know what this is. http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html

Biographies of Women Mathematicians: From Agnes Scott College, a private women's college in Decatur, GA. A little gender equity never hurts.http://www.agnesscott.edu/lriddle/women/women.htm

Dave's Math Tables: All levels.All languages. http://www.sisweb.com/math/tables.htm

Equation Editor Tips: Go to this website, type in your e-mail account, and start learning on how to use the equation editor, now! http://www.mathtype.com/features/ee_tips.stm

Explore Math: This is a great site for learning anything about math. Uses shockwave, and other diagrams to help you understand even the hardest math problem. http://www.Exploremath.com/

History Links: Babylonian and Egyptian math, the rise of calculus, Fermat's last theorem, the beginning of the Quantum age, and other dates of historical significance to mathematicians.http://www-groups.dcs.st-and.ac.uk/~history/HistoryTopics.html

Kentucky Migrant Technology Project: Supports education in the arts, science, english, mathematics, social studies, and practical living. Excellent site. http://www.migrant.org/

Math Homework Helper: All sorts of interesting math links. Voted best math homework helper in a Yahoo poll. http://www.erols.com/bram/

MathMagic on the Web: Looks interesting! http://forum.swarthmore.edu/mathmagic/index.html

Mathematics On the Web: Official website of the American Mathematical Society. http://www.ams.org/mathweb/

Math Servers on the Web: This site, from the Penn State Math Department, has links to all sorts of high level math information. Click on "general" to start. It loads rather slowly sometimes, but it's worth the wait. http://www.math.psu.edu/MathLists/Contents.html

Measure 4 Measure: An assortment of links to interactive web pages that estimate, evaluate, calculate and translate various information http://www.wolinskyweb.com/measure.htm

Problem Of The Week (POTW): Need good math strategies, or math problems to keep you occupied? Come to this site, where the problems are weekly updated, and you can submit your questions, and see them on the site. (simple algebra, and other easy items.) http://www.potw.net/

Swathmore Math Subjects: Various links to programs that help k-12 students understand their problems in math. The site has it's own search engine for other math sites as well as online documentations. Plus, there are public forums on math topics, to help. http://forum.swarthmore.edu/

What Good Is Math? Online activities show students how math is used in daily life. A good place to go for the answer to that famous question: "How will I ever use this?" http://www.richmond.edu/~ed344/webunits/math/home.htm

Zona Land: Online tutor in the fundamentals of: math in general with animated charts and diagrams, trigonometry, algebra, and other mathmatics. Perfect for online help and advice about questionable subjects. http://id.mind.net/~zona/


Teachers: If you want a web site added to this page, e-mail the information here. Please include your name and email address in your message. Send information regarding dead links to the same address.

(Last Updated 11/05/2004 by Stephanie Ip)