Your plant is acting as if it had a vegetative bud for most leaves and that they are sprouting into new fans. That usually happens when a scape starts to form and one or sometimes two new fans appear beside the scape.
In the diagram a scape is just beginning to develop from the old fan's growing point. Developing the scape uses up all of the growing point leaving none to produce any more new leaves for the old fan. So the plant must develop at least one new growing point. It can produce new growing points on the crown in the location between leaves. Usually that happens in the locations 1 and 2 but it can happen in any location including 3, 4, 5, 6, 7 or 8. In this example the new growing point and new fan (the replacement fan) has been formed in location 8. New growing points can form into buds and stay dormant for a time (discontinuous growth) or they can form and immediately grow (continuous growth) - that is they do not need to form buds.
On your fan it seems as if several new fans are being produced in different locations and they are visible before there is any sign of a scape. I think that this may happen with plants like 'Stella de Oro' that may form small clumps very quickly.
