Generally, in any descent the control column controls IAS and the throttle controls the rate of descent. Fine. But when you are on the final approach, a 3rd factor in addition to IAS and RoD is introduced, the touchdown point.
Once the a/c has rolled out of the final turn and has been properly configured for landing, it will ideally fly a fixed angle descent path to a fixed point on the runway.
To assess any error, a deviation from the required value must be quantified and assessed. Using the old method, the student - in addition to controlling the ac - had to assess whether or not the was on the correct descent path, or rather where the descent path he was on at the time would intersect the ground. This is a difficult skill for the student to learn as the has no 'angle-meter' to look at to provide his angular error information and must do so visually, whilst at the same time adjusting speed with the control column. This then gives him a different approach aspect to assess whenever he changes the power setting.......
With 'point-and-power', the ac is rolled out of the final turn, configured for landing and adjusted to the correct approach speed with the control column. Then the pilot literally aims a fixed spot on the windscreen at a fixed spot on the ground and holds it there with the control column. Zero optical spin. If he did nothing else he would arrive at that spot on the runway.....but at what IAS? Now comes the 'power' bit. Because he does have a meter with which to assess the IAS error - the ASI! Point at the runway touchdown point and assess IAS. If IAS low, add power KEEPING THE TOUCHDOWN POINT STEADY in the windscreen; as the correct IAS is achieved, wriggle off a little power to peg the IAS. Follow the activity cycle 'Touchdown point - speed - touchdown point - speed'. Because only one value (IAS) is changing with the other (touchdown point) held steady, students naturally find this much easier to learn.
To sum up:
Roll out of final turn.
Wings level
Land flap
Adjust to approach speed with control column and trim
Now aim at touchdown point
Keep touchdown point steady with control column, IAS controlled with small, frequent power adjustments
Just before impact with ground, close throttle smoothly and fully.
Now aim at far end of runway and align a/c with runway direction using rudder, keeping wings level.
Clench buttocks
Land
Point-and-power is dead easy and I've used it in Cherokee, Chipmunk, Bulldog, T67, Zlin, JP, Gnat, Hunter, Vulcan, Hawk, VC10..... (F4 and Buccaneer had AoA to worry about as well!).
Get a FI who understands the technique to teach it to you and you'll find it vastly easier than the 'old' method!
(Any references to the masculine gender contained herein are equally applicable to the feminine and undecided genders.)