The Brushed DC Motor gets its name from the "brushes" used for commutation. Here are some key points about the brushed DC motor:

Typically the rotor, also known as an armature, has windings on it terminated on to a commutator
Brushes make and break contact with commutation segments, thus commutating power to the armature
The stator, or outer cylinder, of a permanent magnet DC motor will have two or more permanent magnet pole pieces
The opposite polarities of the energized winding and the stator magnet attract causing the rotor to rotate until it is aligned with the stator
Just as the rotor reaches alignment, the brushes move across the commutator contacts and energize the next winding
Brushed DC motors are easy to control because speed and torque are proportional to the applied voltage/current. The rotor is heavy due to windings on the armature, more inertia makes it more difficult to start/stop. Heat is generated in windings on the rotor, and is more difficult to remove.