Catapulting a spinning carboard tube through the air in such a way as it generates lift, and will fly across the room. This can be compared with spoons bending a stream of water and why a tennis ball's spin will affect how it flies.
Cylinder
The basic idea is to attach the elastic to one end of the desk, stand at the other and roll it up around the cylinder in such a way as it will have back-spin and then release it.
There is a definite knack to making the cylinders fly, as far as I can work out it involves rolling the elastic up keeping the cylinder in the same place, so the deepest elastic is the loosest, so it will release nicely. You also have to make sure you wind the elastic right in the middle and release the cylinder cleanly. IF it works it flys really bautifully.
Spoon
Just put the convex side of the spoon into a water stream and you should see the water bending around the spoon and be able to feel a force on the spoon
Explanation
The explanation rests on the tendancy of streams of fluids to stick to a curved surface (I think essentially because if the air goes in a straight line it will start to drag the air out of the pocket that it leaves. This will reduce the pressure in the pocket, if this pressure is small it will drag the main stream around - the coanda effect, if it is large it will cause air to be sucked in from different places, producing turbulence.
The change in the direction of the flow through a Newton's law causes a force on the spoon
This explains the spoon, the cylinder has the spin, this means that the air going over the top is dragged along with the cylider by friction, and the air at the bottom is slowed, this means that they meet and seperate below the centreline, so the flow is moved downward and there is a net upthrust
Flight
This is a better explanation of how wings work than the standard bernouli explanation, the wing is designed to change the direction of the flow of air downwards to produce lift. A stall is when the air going over the top of the wing becomes unattached and turbulent, so all of a sudden the plan looses half of it's lift and if it is too close to the ground crashes
Uses
NASA have tried to use this effect by attaching spinning leading edges to slow observation planes, and www.fanwing.com have built combine harvester style plnaes (to get more grip) which work on a similar principle.
Tennis ball, football etc swerves normally work on this principle