· Kirchoff's Current Law: "The sum of currents at any node in a circuit must equal zero" - keep in mind that current is a flow rate for moving electrons. And, electrons do not appear and disappear from the circuit. Therefore, all of the electrons flowing into a point in the circuit must be flowing back out.
· Kirchoff's Voltage Law: "The sum of all voltages about a closed loop in a circuit is equal to zero" - Each element will have a voltage (potential) between nodes. If any two points on the closed loop are chosen, and different paths chosen between them, the potentials must be equal or current will flow in a loop indefinately (Note: this would be perpetual motion).