Is a fern reproduces through spores a fragment?

Is a fern reproduces through spores a fragment?
The spores of a fern are ONE step of its reproduction. This may form a pro-thallus, which when ripe will produce male and female parts. The male sperm of a pro-thallus is motile (!) and provided it is moist, it will fertilize the female seed. From this fertilization, a new fern will arise.