Kyle is on the faculty at Barnard College/Columbia University Theater Department where she is a Senior Thesis advisor, directs student projects, teaches courses in Solo Performance, Collaboration/ Ensemble and Acting, at Sarah Lawrence College where she teaches Collaboration in the MFA Theater Program, and at Movement Research where she teaches workshops in interdisciplinary modes of composition and performance.

She has also taught undergraduate, graduate and pre-professional courses in theater, dance, performance and media at Princeton University, Fordham University, Performing Arts Research and Training Studios (P.A.R.T.S.) Brussels Belgium, Sarah Lawrence College, Antioch College, New York University, The Cooper Union, and workshops in the US / Europe.