I still don't see any reason to do it. As long as you get the revs right, the gear will go in smoothly, whether you double clutched or not. The transmission is always moving because the wheels are rolling, so all you have to do is line up the engine speed with it. If done right, it will be very smooth, we tried it on my friends Miata today a couple times. If done right, you don't feel the shifts at all. Sure, if you don't have synchronizers, then I see why, but I'm sure all the people who do it on here have synchronizers in their cars. I'm either overlooking something here, or there truly is no point. The synchronizers barely have enough time to slow down on a downshift anyways, and unless you have a really wide gear ratio, it should only be a difference of 1,500 rpms or so.(which isn't a lot) Even less since you are slowing down between the downshifts too, letting the engine drop a couple hundred rpm's in between.
EDIT: Is it so desirable to be a little smoother(from almost perfectly smooth) to go to the length of learning a complete new driving technique?
What you're looking at is my Probe with the end cover off of the transmission, as I prepared to replace 5th gear for a worn syncro and shift fork. Bear with me here because I'm going to show you exactly why double-clutch downshifts are better for your parts. To the left is the input shaft gear for 5th, and to the right, the end of the stack, is reverse. In between is the shift mechanism, and at the bottom you see the shift fork, with a worn section cut out of it. (It was worn by pressure from fifth gear not resting in place, it wanted to pop out, so the selector actually lathed the fork down over time.)
These views are from the end of the gearbox, showing the position of the output shaft down from and beside the input shaft. From the end, you're looking at reverse.
A modern manual street transmission is synchronized constant mesh transmission. That means the actual gears are ALWAYS meshing, whether they're shifted in or not. Each ratio has a gear on the input shaft which freewheels (not splined to the shaft) and a gear on the output shaft which is fixed to the shaft with splines. The output shaft NEVER releases from the drive wheels, and ALL of its gears are always spinning at the output shaft's RPM. The input shaft is connected to the engine by the clutch. If the clutch pedal is down and the box is in neutral, the input shaft floats free and may even stop completely. (Not realistically, there is enough friction and viscosity to drag it along a little bit.) If the clutch pedal is released, the input shaft is spinning at engine RPM.
The only things splined to the input shaft are the baulk rings. The "sleeve," if you will, that is carried by the shift fork. Inside the sleeve is a set of grooves that match up to the dog teeth you see on the brass-colored ring and the actual gear behind it. The brass-colored ring floats freely on the shaft, and has a cone-shaped surface inside that matches the surface on the end of the actual gear. Now, to engage a ratio. When you move the shift lever, a mechanical link slides one of the shift forks towards the gear you're selecting. Let's use 5th, since that's in my picture. Those grooves in the sleeve are spinning at the same speed as the input shaft. When you shift, the input shaft is released from the engine, the sleeve slides toward the brass-colored teeth. It can't slide its grooves over the teeth until its speed is matched to the gear (hence "baulk ring"), which is being driven by its output shaft partner. That's what the cone-shaped ring does: it provides a friction surface between the gear and the selector sleeve. When the speeds match, the sleeve's grooves slide over the syncro ring all the way onto the dog teeth of the gear. Now the input shaft is tied to the gear, and the ratio is selected. You release the clutch and the shift is complete. If the sleeve slides on before the speeds match, you get the classic crunch sound. It's not from gears not meshing, it's from the dog teeth being at a different speed from the selector ring.
Now. You're cruising along in top gear and need to downshift. All those selector rings are spinning at engine RPM (they're splined to the input shaft.) You depress the clutch, blip the throttle, move the shifter, etc. The selector rings begin this process at a slower RPM than they need to be, because the input shaft was turning at the engine's top gear RPM, not it's 4th or 3rd gear RPM (much higher). They may even be coasting down a bit during the de-clutched period. That means the syncro has to do just that much extra work to match the dog teeth to the selector ring. If you release the clutch briefly in neutral and blip the throttle, you spin up the selector rings. Remember, they're the only parts splined to the input shaft. Now clutch pedal down, select the gear, another blip, and release the clutch. The syncro has less work because you've spun them up between gears. The first blip, in neutral, spins up the selector rings, the second blip, in gear but de-clutched, matches the engine revs to the input shaft of the tranny.
That's why double-declutch downshifting is both smoother and better on the equipment. It's also why double-declutching makes no sense on upshifting. You actually
want the baulk rings to slow down during the shift.
Some gearboxes have stouter synchronizers than others. Obviously mine had a bit of a problem in 5th, but not from downshifting. I had a problem where a shop used the wrong part in a CV joint replacement, and the axle slid partway out of the box, allowing transmission oil to spill onto I-10, in turn causing the gearbox to get quite warm. Normal driving, you won't really notice much difference, if any, using single- or double-clutching. But double is better on the internal parts.
Thanks for that post Scaff. Let me explain my idea a little better. In my friends Miata, the front wheels have a lot more braking power than his rear, like most cars. His rear rotors need to be changed though, so when the front wheels are at their threshold, the back ones are still rolling. By down shifting, you can use compression braking along with the back brakes to bring the rear tires to their threshold without locking the front. A normal car shouldn't do that, but since his rear rotors are worn, there is significantly less braking force there, not even enough to lock the wheels with the handbrake. The car has very neutral handling, so even when you release the brakes, it doesn't react very different than while braking, just the speed is higher, making the car easy to control even though the rear tires are almost sliding.
So I guess you are right, or Skip Barber Racing school, but when the brakes are messed up, It's one thing you can do to solve the problem.
Edit:This isn't exactly the same as my idea before, but I found a fault with that one, and I fixed it in this example.
A lot of cars with rear disc brakes won't lock the wheel with the handbrake. The brake mechanism is different with discs than drums. There's either a small clamp that feebly squeezes the pads, or a little-bitty drum brake in the hub.
You generally want the fronts to lock up before the rears. Going straight with no steering, then hitting something straight on (where belts and airbags work best) is better than spinning out of control and hitting something sideways or backwards.