While a light understanding of racing is enough to get started, you can definitely improve your wins and have more fun with the sport if you take time to learn a bit more about it. Other race fans can be a great source of advice, and here are a few links to online reference sources.
All about thoroughbred horse racing, this site is written with a sense of humour and excitement. It provides lots of advice and tips to help you understand racing, wagering, handicapping, and other details of the sport.
A good introduction to harness racing from the United States Trotting Association (USTA). This site includes information on how to bet, but it is most valuable for explaining the whole harness racing experience, including history.
A Canadian site for harness racing fans and owners. It features lots of news about the sport. You can also find explanations of racing jargon, how to read the racing form, and how to bet.
This is a Canadian membership site for online wagering, but even non-members can find lots of useful information here about race schedules and racing in general. See the Learning Centre tab on the main page.