Circuit diagram interpretation and electrical flow
Should the Resistor be Placed Before or After the LED?

The important thing to remember is that the direct current electricity must flow through the circuit to be useful. Since the resistor is part of the circuit (meaning that there isn't another path for the current to take) it resists the overall flow, thereby helping to protect the LED. Whether before or after the LED, it would still be in the circuit, and would therefore still reduce current flow.

Visualizing the Flow of Water

Think of it like a water hose, where the LED is a flow meter and the resistor is your foot. If you step on the hose before the flow meter it will cause the overall flow to slow down. Stepping on the hose after the flow meter but before the nozzle will have the same result, as the water must pass through the entire length of the hose before being released.