Call and Put options are simply the terms that are given to buying or selling an option. Call options are used when a trader believes that an asset will go up in value, and a Put option is used when they expect the value of an asset to fall.
Binary options trading brokers may change their trade buttons every couple of seconds, from Call and Put, to Down and Up to help avoid any confusion. Others may keep the terms Call and Put for the duration. Most trading platforms will make it very clear which direction the trader is opening the option in.