How could the story be told in someone else's point of view? How would the teacher tell the story?
It is hard to see what the other characters think about what is being told to them because Laurie is telling them everything and it only shows his point of view. How would someone like the teacher tell the story? (point of view)
Given that Laurie, in Jackson's short story "Charles," provides a very limited point-of-view in the story, the teacher's tale would certainly be very different.
The teacher would not be alluding to anything. She would simply come out and tell the story of a little boy who acts out during class. Details would include his inappropriate behaviors, his inappropriate language, and the measures she took to try to prevent them.
That being said, the entire story would change. There would be no confusion about who Charles was and his influence over Laurie (or assumed influence as Laurie's parents fear). There would be no surprise ending or shock for the reader. There would be no real story, other than the tale of a kindergarten boy failing to acclimate to school.