I always like to train at a higher cadence, train for speed and get power as the saying goes. Everybody has an ideal cadence, the 'sweet spot' on thier throttle. Mine is around 75-85(relatively low) but the lighter you can load your legs the longer you can ride without soreness. In races I alway have better luck revving up to a higher cadence on climbs than trying to power out.
The idea of the gears is to do all you can to remain in your ideal rpm range(like a car does as well), thus being the most efficient. Periodically when you train, ramp it up to a gear or two higher than normal, you may be surprised at your improvements. After a while you will be able to sustain those pedal speeds in the higher gears. That means you have more power
Most of all, have fun.
Ride it, break it, fixit, ride it...