Once it’s begun, you can’t fully separate the person from the task. When the artist is painting, the painter and the act of painting become a single "thing." The emerging artwork becomes a part of it all, too. As a teacher, your "self" is embedded within your teaching -- which is how it goes from a job to a craft. The learning results are yours. You probably call those young people in the classroom "your" students.
The same goes for students as well. There is a pleasing kind of string between the eight-year-old playing Minecraft and his or her digital creation. This is the magic of doing.