Now is the time for Ellie to think carefully about her next steps. Is she sure that she will enjoy working with students? She might benefit from some form of practice teaching either as a tutor or as a volunteer in a community service project for high-school students or adults. Taking the Graduate Record Exam might let her gauge her aptitude for doing advanced coursework, although it can tell her little about other aspects of graduate education. It is unusual for a high-school teacher to desire the rigorous work demanded of a master's or PhD in mathematics. However, some PhDs have found rewarding careers in teaching at the pre-college level, and many high schools and community colleges explicitly want to hire teachers at the master's level or even PhD level (in magnet schools, for example).
If she has doubts about whether teaching is for her, this is the time to investigate alternatives. She might take courses in disciplines in which her interest in mathematics would be