I was taught when I learned in the very early 80s to change down through my gears when coming to rest, because that is what the normal test required at that time. My instructor had been a Police Class 1 instructor before he retired and said "once you've passed your test, I'll teach you the *proper* way to slow down" though unfortunately I never took him up on the extra "now you've passed" lessons.
But when I was preparing for my IAM advanced test about 10 years later, I was taught the "Roadcraft" way: as you approach the junction etc, stay in whatever gear you are in, braking progressively (gently at high speed, gradually increasing brake pressure as you slow down, then come almost off the footbrake as you are about to stop to prevent a sudden lurch). Change into the required gear once you know from the road conditions what that gear is - if you can see that you can continue without having to stop, you may need a sixth-to-second change; if you will have to stop, it's sixth-to-first, so you are in the correct gear to accelerate away again.
When I'm driving I try to lose speed in the first instance simply by lifting off the power and letting the car slow down by friction and air resistance. If there's a car behind me, I may press the pedal just enough to put the lights on. If that doesn't slow me down enough, only then will I brake using the footbrake. But I'm not one of these people (and I've ridden with them as a passenger) who believes that your foot should always be on either the accelerator or the brake, and that it must never be on neither pedal.
The IAM also taught me how (in a car without ABS) to brake in an emergency: smoothly but quickly apply large pressure on the pedal (but don't stamp on the pedal - even in an emergency *try* to phase in the braking over a fraction of a second) and be ready to come off the brake as soon as you detect any skidding. Ideally (and I reckon you have to be super-human to be able to do this) keep braking to just before skid-point and then back off to let the tyres bite - rinse and repeat. But when I tried this "cadence braking" on a skid pan, I couldn't master it: the instinct in an emergency is to press the pedal hard and leave it there - schooling yourself to release the brake pedal slightly while you are rapidly approaching the hazard is what needs superhuman skills :-)
ABS does the cadence braking for you (that's what the rapid pulsing is in the pedal). I've only had to use it in anger once: when a child ran out into the road and I instinctively hit the brake and steered hard right, managing to steer left again before hitting the opposite kerb. The child's mother gave me an earful until the driver of the car behind me pointed out that I had been driving at 20 in a 30 limit because I'd judged that there might be a hazard, and that I'd started to brake when the football rolled out from behind the gatepost a couple of seconds before the child had even appeared, and I'd managed to avoid the child who was on the pavement at the time I came to rest by the opposite kerb. I think her anger might have been influenced by the fact that the car two behind me had collided with the one behind me because *he* was driving too close.