Speeding ticket court is not exactly the type of place you want to visit on a regular basis. In fact, I guess most people are probably quite terrified of ever having to be in a courtroom when they will be addressed by the judge. This is normal, and I admit that even having been to court a number of times, I still get butterflies in my stomach. But it's really not a bad place, and in fact most people that receive tickets could really benefit from doing some research and heading to court.
The first thing you want to note is when your court date is. If you miss your court date, everything is out the window. You're probably not going to get a second chance. You should know the date, time, and location for your date. Go early so that you aren't rushing and don't end up missing it. The last thing you need is traffic throwing a wrench into your plans.
Know ahead of time what your game plan is. If you are just going to enter a plea, know exactly what you be pleading. If you are offering an explanation or excuse, plan it out ahead of time. You should probably even practice it out loud. More than likely you will be very nervous when the judge calls you up, so running through it a time or two in advance is a good idea.
Be prepared to do a lot of sitting around. You won't be the only one at court, so you'll have to wait your turn. They'll go through a long list of people, calling each person up to the stand. You may be first, but you almost might be 30th so don't expect to be in and out of there. Don't worry though, it can be quite entertaining (and educational) to listen to what everyone else is there for and hear what they have to say to the judge. Even more interesting is what the judge says back to them. You might even decide to change what you are going to say based on something the judge says to another person.
One other tip: if you get there early, you may have a chance to talk with the prosecutor before the proceedings begin. This is almost always a good idea if you have the opportunity: don't pass it up!