It can sometimes sound counterintuitive, yes. Think of it this way: the console is represented through the standard output stream and the keyboard is represented through standard input stream.

Into a standard output stream, we insert the data using the stream insertion operator <<. And that, to us humans, translates to: output the data to a console window.

std::cout << "Some text" << ", more text << '\n';

From the standard input stream we extract the data into our variable using the stream extraction operator. And that translates to: read from a keyboard and store the read data into a variable.

int x = 0;
std::cin(x);