It is well known that most problems in physics can only be solved computationally. Nevertheless, many physics curricula have their origins in a time before computers were commonly available. We have argued that using computers as an integral part of the educational process opens up new possibilities for teaching at the introductory level. In particular, Real Time Relativity makes relativistic optics an accessible part of introductory relativity, and QSim makes quantum dynamics and quantum measurement accessible at the introductory level.