Scarsdale High School Mathematics Department
Web Links
(Reviewed by Mr. Robert Arrigo)

http://www.ies.co.jp/math/java/samples/samples.html

This site contains links to 9 different animations (java applets) which help enhance students’ understanding of geometry, trigonometry, and calculus. My personal favorites are the one for the graph of y = sin x and the one for the volumes of revolution, and the volume of a solid whose cross-section is known.

http://www.ies.co.jp/math/java/calcjava.html

This page is part of the same site above, and many of the animations are the same, but it contains some extra applets. The best one here is the animation for the Cycloid.

http://www.unl.edu/amc/

This is a terrific site for math team coaches. It has information about mathematics contest problems, including the ASHM. The American Mathematics Competitions (AMC) seek to increase interest in mathematics and to develop problem solving ability through a series of friendly mathematics competitions for junior/middle and senior high school students (grades through 12). It contains the answers to the ASHME exam just given at SHS, and if you follow the links, you could write to the panel of test authors and administrators. Another site similar to this one is http://www.mathleague.com/

http://forum.swarthmore.edu/dr.math/dr-math.html

Ask Dr. Math is an Internet project based at Swarthmore College and staffed mainly by Swarthmore students, staff, and faculty. Once on the page, students are given links to pages which contain answers to questions previously submitted by students, and are organized by subject. If the student’s specific question can not be found, they are encouraged to send math questions to: dr.math@forum.swarthmore.edu.

http://MathCentral.uregina.ca/

Math Central is a service for people involved in mathematics education from kindergarten to grade twelve -- a meeting place for teachers to share resources, a service to teachers, students and parents who may need an answer to a mathematical question and a facility to allow teachers to carry on a dialogue amongst themselves. Teachers are encouraged to send us resources, subscribe to teacher Talk and send us suggestions This site is maintained by faculty and students in mathematics and mathematics education at the University of Regina in Regina, Saskatchewan, Canada.

http://www-cm.math.uiuc.edu/MathLink/

Math Link is a new website based at the University of Illinois that is designed to deliver professional development opportunities and classroom resources to teachers of mathematics, statistics and related subjects at the high school and lower division college levels.

http://www.anglia.co.uk/education/mathsnet/

A site originating from England for math enthusiasts. MathsNet is a collection of WWW pages about mathematics education, information technology and the Internet. You will find resources here on using information technology tools in high school or college with students - and some straightforward "sums" too. Besides pages on logo, spreadsheets and graphs, there are also pages dedicated to users of specific educational software like WinLogo, Excel and Omnigraph. There are animations, puzzles and articles, and a list of links to other good sites. This site contains a search engine which is especially useful if you know what you’re looking for.

http://archives.math.utk.edu/cgi-bin/fife.test/searchTopics.pl

The Math Archives is a page with a searchable database containing a list of math pages on the WWW, and is separated into specific areas of math:

Abstract Algebra, Algebra, Analysis, Applied Mathematics, Arithmetic, Art & Music, Calculus, Combinatorics, Complex Analysis, Computational Geometry, Computational Science, Computer Algebra / Cryptology, Genetic Algorithms, Differential Geometry, Discrete Mathematics, Dynamical Systems, Fluid Dynamics, Fourier Analysis & Wavelets, Fractals, Geometry, History of Mathematics, Industrial Mathematics, Linear and Matrix Algebra, Linear & Nonlinear Programming, Logic & Set Theory, Mathematics Education, Mathematical Biology, Multivariable Calculus, Nonlinear Dynamics, Number Theory, Numerical Analysis, Ordinary Differential Equations, Partial Differential Equations, Pre-Calculus, Probability Theory, Statistics, Topology Trigonometry

http://www.collegeboard.org/

The College Board’s official site containing facts and general information about SATs, PSATs, Achievement tests, and the AB & BC Advanced Placement tests.

http://www.math.rutgers.edu/~greenfie/courses/exams-gif.html

This page contains links to Calculus test questions and solutions given at Rutgers University. These could serve as assignments for students.

http://calclab.math.tamu.edu/docs/math151/common-exams/index.html

This site contains Calculus exam questions and solutions for exams given by the math department at Texas A&M.

http://forum.swarthmore.edu/~steve/

Known as "Steve’s dump", this site is referred to by many of the other sites that I visited. When you’re searching for something, this is considered the standard. Below is the text (which occurs as hyper-text links on the web page:

http://www.mathsoft.com/asolve/constant/constant.html

An amusing site containing scores of well known mathematical constants. All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination.

http://tile.net/lists/mathematics.html

This page contains links to sign up for various e-mail lists. Once you subscribe to a list, you receive e-mail from other subscribers posting questions and comments regarding the topic ofd the list. While much of the stuff is garbage, there is a lot of exchange of useful information and thought-provoking ideas.

http://www.liszt.com/

A similar site to the one above, but some of the mailing lists are different.

http://e-math.ams.org/

This is the official site of the American Mathematical Society AMS Home Page, a good starting point for finding mathematical resources.

http://www.seresc.k12.nh.us/www/apsum.html

This site contains links for AP Calculus resources on the WWW.

http://www.seresc.k12.nh.us/www/alvirne.html

A site developed by Alvirne High School in Hudson, N.H. A really good site for AP Calculus teachers containing excellent resources for test and HW questions.

http://silcon.com/~esheppie/

This is a page developed by an AP Calculus teacher from California. It contains some useful resources for tests and HW questions.

http://www.math.okstate.edu/archives/indexnf.html

Mathematics Education Center Home Page. It is devoted to undergraduate mathematics education with emphasis on the use of technology. It was developed by the Oklahoma State University Mathematics Education Internet Source. Their goal is to serve mathematics educators, particularly as their needs relate to the use of technology in undergraduate mathematics.

http://cq-pan.cqu.edu.au/schools/smad/smad.html

This site is called SMARD and is maintained by a math teacher in Austria. It provides an opportunity for secondary math teachers to share quality assessment and resources. Most of the assessment and resources available from this site have been classroom-tested, and much of it is non-traditional. You are invited to browse through their collection, select what you want and take it away. And you are certainly invited to contribute to the database! I have personally checked many of the question pages, but only I only found a small percentage of them useful.

http://www-cm.math.uiuc.edu/MathLink/whatismtl.html

Math Teacher Link is a new website designed to deliver professional development opportunities and classroom resources to teachers of mathematics, statistics and related subjects at the high school and lower division college levels. Math Teacher Link, which was initiated at the Urbana-Champaign campus of the University of Illinois, is now being developed as an a partnership project of the University of Illinois, Illinois State University, and Eastern Illinois University. Math Teacher Link provides. Time-Flexible Course Modules and Interactive Tutorials. Teachers can complete the modules at home or at school within flexible time schedules that they help to select. Each module includes a required classroom unit created by the participating teachers for use in their classes and schools. Teachers can choose from a growing list of course modules to fit their needs and interests. Teachers can register with Math Teacher Link for University of Illinois graduate credit, or as guests of the program. Only a few the many modules I checked actually fit in well with our curriculum at SHS. They do offer a number of interactive courses that you can take via the internet for which credits are earned from the University of Illinois.

http://www.tc.cornell.edu/Edu/MathSciGateway/math.html

Cornell Theory Center Math and Science Gateway. An index of mathematics sources available on the WWW in hypertext form.

http://www.nysed.gov/regents/home.html

This is the New York State Board of Regents’ official web site. This is where I downloaded that sample copy of the new Math A exam.

http://www.geocities.com/CapeCanaveral/Lab/8692/

This is a page maintained by one of the teachers on one of my AP Calculus mailing lists. There are a lot of good resources for lessons and TI programs--test questions and homework ideas for the new curriculum.

http://www.nsac.ns.ca/nsac/mp/mp100/modules/topics/diffeq/euler/learn.htm

An interactive learning module for Euler's method - an algorithm that is used to obtain approximations to the solution to a differential equation of the form dy/dx = f(x,y). Begin from a point on the desired solution curve, and move along line segments that are determined by the slope field. Piecing the line segments together, one after the other, yields a broken line curve that approximates the solution curve.

http://www.abc.se/~m10013/calc/calc.html

This site is basically a TI 82/83 program page. It is enhanced with many HTML features and looks really great. The site has programs for the TI 82 and TI 83. There is also places to upload your own programs.

http://www.vent-pub.com/

A commercial site which has lots of materials which could be of interest to math teachers. Its a page were you can get information about calculators, instructional videos, and much more.

http://www.nysed.gov/

The New York State Education Department site.

http://www.tug.org/twg/mfg/

This page has information regarding tools that help you perform word processing with math symbols, sponsored by the the Math Font Group (MFG). It is a joint venture of the LaTeX3 Project and the TeX Users Group Technical Working Group on Extended Math Font Encoding. The MFG intends to set a number of new standards for TeX math fonts and to deliver a number of tools to support the new standards.

http://www.thomson.com/brookscole/SWCAT_96/exp_5.0_swcat.html

This is a commercial site which advertises a mathematics word processing product that has received rave reviews from several of the members of the mailing lists I subscribe to. They have a link here to download a demo copy. I haven’t purchased the real one, but the demo looks pretty impressive.

http://www.netsrq.com/~hahn/calculus.html

A tutoring page that helps students of 1st year of calculus. Students can also E-mail the owner of the page for tips on how to solve a troubling math problem.

http://www.scar.utoronto.ca/homes/mathlab/calculus/Redbook/

Calculus Lecture Notes from members of the math department at the University of Toronto. The page has links to lesson resources for varuious topics, and also links to exams given, and pages which have the detailed solutions to those exam problems.

http://www.geocities.com/Athens/Acropolis/8788/indexapfree.html

Past AP Calculus AB Free Response Questions. This page is terrific for students preparing for the exam, because with each question, students could click on links to pages which contain hints, and instruction. Ultimately, they get to click on a page with a detailed solution.

http://www.math.ucdavis.edu/~kouba/ProblemsList.html

Brought to you by the UC DAVIS DEPARTMENT OF MATHEMATICS. It contains a number of links, sorted by topics, leading to Calculus problems. After completing a problem, the student can click to go to the site which has a detailed solution to that problem.

http://www.math.niu.edu/~rusin/known-math/collection/master.html

This is a collection of short articles designed to provide an introduction to the areas of modern mathematics, and answers to some common (or not!) questions. Some resources of interest in all areas of mathematics are included in the page for General Mathematics.

Most of these topic are post high school curriculum, but still an interesting page and resource for a high school math teacher.

http://www.mathsoft.com/asolve/constant/constant.html

A list of dozens of famous constants from math and the sciences. You’ve probably never heard of many of these, but it’s a nice reference and an interesting page. Each constant has a hypertext link to a page which explains all about that constant.

http://forum.swarthmore.edu/~steve/mathall.search.html

A search engine for math sites.

http://www.abc.se/~m10013/calc/calc.html
http://www.ti.com/calc/docs/arch.htm
http://b60414.student.cwru.edu/ti-philes/index.html
http://members.aol.com/TImagazine/index.htm
http://users.aol.com/Warren561/ACME/82and83.html

All of these above sites contain files which can be downloaded, and then transferred to your TI using the graph link. Many terrific programs useful for precalculus and calculus instruction, and programs useful to students.. Unfortunately, there are also video games here, so don’t let your students find these pages or they’ll turn their TI into a Game-Boy.

http://www.collegeboard.org/ap/math/html/exam004.html

General information about the AP Calculus exams, the use of calculators, the AP Calculus courses, Topical Outline for the AP Calculus courses.

http://www.geocities.com/CapeCanaveral/Hangar/4577/

This page has a link to many theorems in advanced mathematics.

The theorems are mainly on NUMBERS THEORY . The most interesting thing about them is , they combine the irrational numbers with the numbers of Fermats little theorem with irrational and imaginary numbers.) One of the theorems is on the famous FLT and proves that there exists solutions of FLT at integers approaching to Infinity.

http://www.calculus.net

Laboratory projects using computer algebra systems (CAS) such as MathView, Mathematica, Maple, MathCad, and graphing calculators.

http://homework.calculus.net

Homework problem sets directly from select calculus texts and sets from generic calculus texts, with interactive help, investigation, and experimentation modules. On-line homework grading and record keeping for personal and instructor use.

http://vrml.calculus.net

The visual study of three-dimensional calculus using the power of VRML - Virtual Reality Modeling Language. Come venture into the next generation of calculus course materials.

http://texts.calculus.net

Interactive texts for exploration of calculus topics via reading and presentation.

http://projects.calculus.net

Project-based curriculum for calculus. Both technology and non-tech based problem sets for collaborative learning environments.

http://history.calculus.net

Historical materials regarding the development and progress of the calculus.

http://differential.calculus.net

Core topic and course menus for the Calculus I course, including a variety of curriculum paths through various curricula, such as reform, technological, and traditional materials.

http://integral.calculus.net

Core topic and course menus for the Calculus I/II courses dealing with the integral, including a variety of curriculum paths through various curricula, such as reform, technological, and traditional materials.

http://stud1.tuwien.ac.at/~e9226344/Themes/Puzzles/logic.html

Math and logic puzzles-- a good resource for puzzles to use when you have a little extra time in a lesson.

http://www.math.unb.ca/ready/

A site with links to an exam concocted by the University of New Brunswick, which tests to see if students are ready for college Calculus. This test actually has some pretty decent questions, and there is an answer key that can be printed out. Using some of these questions for a precalculus HW assignment is a time saver, since the solutions can be handed out the next day.

http://www.crwash.k12.ia.us/academics/math/apinfo/

This page contains information regarding which AP Calculus score is accepted by various colleges in order to get credit and or placement by that college.

http://www.integrals.com/

This is a really useful page sponsored by the makers of Mathematica. Type in the function, and just click to get its antiderivative.

http://www.slug.louisville.edu/~dsembr01/rationality-of-pi.html  

So, you thought that pi was irrational, eh? This is actually a humorous page which "proves" , among other wild things, that pi is rational.

http://www.psyber.com/~jacob/math/calculus.html

Titled "The Calculus Hater’s Home Page", it’s kind of cute and has links to amusing sites. I took a chance and shared this page with some of my students. It didn’t seem to have a negative effect.

http://ucsub.Colorado.edu/~rickert/math.htm

The title of this page is "Stupid Math Stuff", but the kid that authored this page has obviously taken many math courses. Lots of amusing stuff here including funny quotes by his math professors, and cartoons. There are even math jokes. Here’s just one example:

A physicist, engineer, and a mathematician all live together in a single house. One night a fire breaks out. The engineer gets up and puts it out. The next night another fire is started. This time the physicist gets up. He takes out all his physics books, makes a hypothesis that the fire can be put out, and collects experimental data to prove his hypothesis. The next night the fire breaks out yet again. This time the mathematician gets up. He gets out all of his books, and finds that a solution exists, and goes back to bed.

http://apk.net/~holtz/math/humor.txt

This page is filled with mathematics humor. Much of it is corny, but there’s enough amusing material here to make it worth a visit.

http://www.csun.edu/~hcmth014/comics.html

Lots of funny math cartoons, many in color. Find the ones you like. Print ‘em out and put them on your bulletin board. One cute one to show your grade grubbing students is http://www.csun.edu/~hcmth014/comics/cb31.html

http://www.isp.net/~goichi/tol/

A site sponsored by the makers of the commercial software Math View. They have a free download plug-in for Netscape. This Netscape plugin version of MathView cannot do everything that full MathView can do; it is designed for viewing notebook files that have been already written. You can not only see the notebooks, but you can rotate the 3d graphs, you can scroll the 2d graphs, you can even click and type and edit the equations and see the graphs change and other algebraic derivations be re-derived. Just poke around with the mouse to see how it works.

http://hmco.TDLC.com/icalc.html

One of the members of my internet mailing list group is Ron Larson, one of the co-authors of the Larson-Hostetler Calculus text book. Well, he has an interactive Calculus textbook on line, and he gave me a free subscription to it. I would say it’s worth the bucks! \visit the page and get a demo.