1882 Laura receives her first teacher's certificate and begins teaching.
Explanation:
Laura Elizabeth Ingalls Wilder was an American writer born in the "Little House in the Big Woods" outside of Pepin, Wisconsin.
The timeline from "Laura Ingalls Wilder: A Short Biography" and "Laura Ingalls Wilder: A Timeline" mentions that Laura received her first teacher's certificate in 1883 and began teaching in school in December 1883.
Therefore, the detail that doesn't match is "1882 Laura receives her first teacher's certificate and begins teaching."
