Bert,
It doesn't always happen that way. Depending on the aircraft and the type of stall, it can happen just the opposite way. The nose may rise during the stall.
However, for most conventional aircraft, the nose falls through during the stall due to a decrease in downwash over the horizontal stabilzer (as opposed to the main lifting airfoil, the wing, simply giving up the ghost). This is more typical of a forward center of gravity. With an extreme aft center of gravity the opposite may occur during the stall.
Typically the buffeting you feel prior to the stall in light aircraft is a result of turbulent airflow over the horizontal stabilizer. As the downwash vector and intensity changes throughout the stall, the download on the horizontal stab decreases and the nose falls through on it's own. Rather than the wing falling down, it's the tail "falling" up. The result is that the nose drops, airspeed increases, the intensity (mass and velocity) of downwash over the horizontal stab increases, and the cycle repeats if control inputs are held.
Often a stall and the subsequent "dropping" of the nose is explained as a loss of lift over the wing due to airflow separation. While this is happening and is true in regard to the pattern of the airflow, it is an incomplete explaination as to what actually causes the nose to drop. This is caused by a change in airflow over the vertical stab.