the simplest way to describe a transistor is it takes a small amount of current (base to emitter) to control a larger current (collector to emitter).
you have an input circuit (base terminal) and an output circuit (collector terminal). the emitter terminal is common to both the input and output circuits (and can be used as an output terminal). in the picture below, the current flow (before anybody lights a match, yes the picture shows an NPN and "conventional" current flow) through the input circuit is between base and emitter with the base positive (usually about 0.7V with a silicon transistor). in the output circuit, the collector is positive compared to the emitter, and a larger current CAN flow here if there is current through the input circuit. the combined drawing is with the transistor turned on, with a small current between base and emitter, controlling a larger current between collector and emitter. if the input current is turned off, it turns the output current off.