In 2015, Barnett won the Burton W. Jones Award for Distinguished College or University Teaching of the Mathematical Association of America.[2] In 2017, she won the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics, for excellence in teaching reaching beyond her own campus.[4][7] The award recognized in particular her work in integrating the history of mathematics, and its original source documents, into the teaching of mathematics, and her mentorship of mathematics schoolteachers.[4]