Tahmid is not wrong but there is a big advantage to using a 4 terminal resistor.
Consider that the resistor is very low value, only 1/1000 Ohm. Any wiring to the resistor that carries the 10A will also have a small resistance, while very tiny it could still be many times higher than 1m Ohm. If you are absolutely certain that your differential amplifier is connected only across the resistor and no other wiring is in series with it, you are OK, otherwise the voltage dropped will be higher than you expect and your amplifier will give an erroneous result. The 4 terminals are there so you ensure the measurement is only across the resistor element itself.
Brian.