Ron H said:Current goes up (diode turns on hard) - voltage goes down. I'm paraphrasing, but that's what I understand this statement to mean. This is negative resistance. Zeners don't have negative resistance. In a zener, dv/di is always positive, on any portion of the V-I curve.
The voltage across the resistor is an accurate measure of the current, by ohms law (as I'm sure you will agree).
As the zener draws current from the resistor the voltage across the resistor will increase (as will the current through it). By the same reasoning (as they are in series) the voltage across the zener will decrease as it's current increases.
As soon as the voltage across the zener decreases, the current it draws will decrease as well (as it turns off), and the voltage across the zener will increase again.
This action will stabilise at a specific voltage and current, dependent on the zener voltage, the value of the resistor, the supply voltage, and the current drawn off the top of the zener.