The Internet is rich in mathematics websites, though most are designed with US or British syllabuses in mind. Make sure, then, when you consult the material referred to below, that you know exactly what is useful for your own syllabus requirements and what (either because of the level or because of the procedures used) you are better off ignoring. If in doubt, consult your teacher.
Maths Websites
The Math Forum
http://forum.swarthmore.edu/
Styling itself as an online education community centre, the Math Forum gathers together a broad range of mathematics resources for students of all levels. Particularly worth consulting are "math resources by subject" and the well known "Ask Dr Math", a huge archive of answers to questions about every aspect of maths submitted to the site. There's much to learn here, both by trawling through the archive and by submitting your own questions.
Interactive Learning Network
www.iln.net/main/learning-center/
The Interactive Learning Network (ILN) is a commercial Internet site that charges students for access to all areas of the site. However, you can join the site for free and still access a large amount of material, not only on maths but on many other school subjects too. At the top of the right-hand navigation panel of the page indicated above you will find a list of maths topics, and for each of these there is a helpful tutorial.
`Seeing is believing' maths page
http://library.thinkquest.org/10030/math.htm
"Seeing is believing" is one of the many websites constituting the ThinkQuest community, and the link above is the the maths part of the site. It was created by students and it is both intelligently arranged and elegantly presented. It takes the form of short notes on topics such as algebra, calculus, geometry, statistics and trigonometry. Some of the notes are too simple for the needs of Leaving Cert students, but others are quite informative. See for yourself.
Gateway to maths resources online
www.enc.org/weblinks/math/
The Eisenhower National Clearinghouse does an excellent job of categorising maths websites according to subject and indicating the level of the material in each one. It's a good place, therefore, to begin a general search of the web for curriculum-related material.
GCSE.com
www.gcse.com/maths/
GCSE.com is composed of an extensive set of tutorials on such maths topics as trigonometry, functions and sequences, and statistics. The tutorials are graded, with categories such as "back to basics", "easy start" and "heavy duty".
Trigonometry and complex numbers
http://aleph0.clarku.edu/
djoyce/home.html
David Joyce of Clark University, Massachusetts, has written up two short courses on trigonometry and complex numbers - scroll down this page to navigate through to them. The early lessons are a little easy, but the later ones are useful.
SOS MATHematics
www.unican.es/sosmath/
An excellent website created at the University of Texas. The material presented here reviews the most important results, techniques and formulas in college and pre-college mathematics. The learning units are presented in worksheet format and require your active participation.
Maths tutorials
www.ping.be/math/index.shtml
The title of this website, "mathabundance", is less than catchy, but it tells the truth. There is an abundance of content in the site itself, and it provides abundant links to external websites which cover maths generally or such topics as trigonometry, algebra and geometry specifically.
Maths Year 2000
www.mathsyear2000.org/
This bright and cheerful maths site is a must-see. Click on the icon for GCSE and A-Level resources, and go through to the appropriate level. The A-Level resources are very comprehensive, including well laid-out tutorials, exercises and tests. Another feature of the Maths2000 website worth browsing in an idle moment is the "Matrix", a maths and technology museum with lots of fascinating articles on maths-related artefacts. On top of all that there is a huge collection of links to other maths-related websites.
Math Net
www.math.toronto.edu/mathnet/
This website from the University of Toronto server has been prepared for high school students mainly, and it has quite an amount of helpful material. The most useful part, perhaps, is the "Question Corner" (access through the link to "Questions and Discussion"), an archive of questions posted on the site. At present, it is not accepting any more questions, but the answers already posted are worth a browse. Elsewhere on the site you'll find maths puzzles and games.
Webmath
http://school.discovery.com/homeworkhelp/webmath/
Webmath is the maths end of the DiscoverySchool.com website, itself a part of the Discovery.com website (as in Discovery Channel). It doesn't cover all maths topics, but the completed modules are well done. You might find it more instructive to click on the "alphabetical index of solvers" and select the topic you are interested in. The interactive self-testing features of the site make it all the more valuable.
For more on maths, go to www.LeavingCert.net, where you will find an extensive range of carefully evaluated links arranged topic by topic.