Final answer:
The principal of Katherine Goble's school did not give her anything on her last day of teaching as per the available information. However, Katherine Goble (Johnson) went on to overcome racial barriers to become a notable mathematician at NASA.
Step-by-step explanation:
The principal of Katherine Goble's school did not give her anything on her last day of teaching as per the available information. This question seems to reflect a mix-up with another historical figure or might be referencing a part of Katherine Goble's life that is not widely documented. Katherine Goble, who later became known as Katherine Johnson, made history through her work as a mathematician at NASA during a time when racial segregation was a significant issue in America. Segregation and the challenges faced by African American students and professionals are well-documented during that era, as seen in the cases of Ada Kelly, who faced patronizing attitudes despite her competence, and civil rights movements led by figures like Barbara Johns and Septima Clark. The struggle to overcome racial barriers in education and the workplace, as faced by Goble and her contemporaries, is an important aspect of history that reflects the gradual progress towards racial equality, albeit with numerous challenges along the way.