Arango is currently instructor of Mathematics at the US Air Force Academy; and Adjunct Professor at Regis University. Her 20 year teaching career includes Emory University, the Colorado College, University of Colorado, Regis University, and the US Air Force Academy. She has worked as a professional mathematician/system analyst at NORAD/SpaceCommand, and at the National Test Bed on the Strategic Defense Initiative. She has invented several devices, systems, and methodologies.