The ability to recognize and recover from a developing risk of stall/spin is what I believe is vital to teach new pilots.
+1
Doing one and two-turn spins with most pilots is useless,
because the only time they're going to spin is when they
are at slow airspeed, and the only time they are at slow
airspeed is when they are at low altitude, either right
before landing or just after takeoff.
You aren't going to spin from cruise flight unless you
accidentally pull +6G's (see Vg diagram) which doesn't
happen to most of us.
Most people have no clue that they are in a developing
spin - all they know is that a wing is dropping, so they
try to pick it up with aileron

This of course makes
the yaw worse, and guarantees that they are doing to
die.
A master will recognize a developing spin very early on,
and take the correct actions to stop it before it winds up.
Many, many, many times I will be sitting there, watching
someone do aerobatics, and they will fall out of a maneuver,
and I will say, "We are now in an inverted spin", which is
a newsflash for them.
If I could teach people ONE thing about spins, is that the
stick (ailerons and elevators) takes a docile, gentle spin
and winds it up into something quite awesome. Lots of
people have died because they refuse to learn this simple
lesson.
You can easily recognize a developing spin because of
the high rate of yaw, and the low airspeed. You stop it
instantly with full opposite rudder to the yaw, and power
off.
Opposite rudder should be an instinctive reaction to the
yaw, but in the Brave New World (tm) that we inhabit
of plastic nosewheel trainers and CPL's that can't land
with more than 5k of crosswind, that isn't the case any
more.
Power off because at slow speeds, the prop causes
more trouble than it is worth - slipstream, torque,
asymmetric thrust, etc. All it does is screw up the
airplane and tempt you to use the stick to oppose it.
Unfortunately we can not all go to the schools C.S. mentioned
I suppose. But without good training, I cannot recommend
that people go out and try to teach themselves something
that may very well kill them.
We see this problem in the aerobatic community. Every
year, people die because they ride in completely recoverable
spinning airplanes.
Keep in mind that Sean Tucker, who runs one of the schools
I mentioned, has jumped out of THREE Pitts that I know of.
Anyways. You want your students to be able to better handle
accidental spin entries at low altitude? Spend more time on
slow flight and stalls. All the four-bar types (current and future)
hate slow flight and stalls, but the more time you spend on them,
the better. Get used to dropping a wing. It's not the end of
the world. Don't panic. Deal with it. Those are the skills that
people need to learn, not the 2-turn spin joyrides which are of
absolutely no use.