In recent years new drivers are taught NOT to change down but rather remain in the gear in which they started braking until just before the car comes to rest (or to a crawl) and then dip the clutch to stop or select a lower gear to carry on. So you could be braking in 5th gear, brake, slow right down and then snatch 2nd just before you move away again.
Doing a bit of googling suggests my method is considered out of date and not applicable to modern cars. It is suggested that the change-down method was due to a few factors that burdened very old cars: drum brakes all-round were poor, non-assisted brakes were common, brakes were not generally suited to the weight of the car and also gearboxes could not take sudden down changes so were 'eased' down one by one. Engine braking was used with the brakes as it were. It seems my change-down method was taught into the late 1990's and then phased out.
There's also a school of thought that (in certain situations) by down-shifting you do not warn others behind you that you are slowing down (no brake lights) and I do do this

So the teachings now are that gear changes are only required when power is needed to keep the vehicle moving.
What are your thoughts/methods on this?