I too often use reverse direction for bowl and indeed even hollow forms, you can often get a "better" angle and see clearer too. But one thing to watch for when using this technique, be sure that your chuck is securely tightened onto the spindle shaft as it can rapidly and disastrously come undone with the lathe in reverse if you should forget to check this.
For Sue, another aspect of turning the inside of a bowl that can have a dramatic effect on the finish is the tool rest itself, the closer you can get the rest to the work, the easier the tool will be to control and thus the better the finish off the tool. Look at the toolrest in Chas' image, it is nicely placed close to the work meaning a minimum of the tool is hanging over the end. If you don't have one, consider a purpose made bowl rest like the Sorby system, these can improve your work by making it easier.