  Modification of three ideas underlying Newton's original world view, with
only minor changes in context, might offer two advantages to introductory
physics students. First, the students will experience less cognitive dissonance
when they encounter relativistic effects. Secondly, the map-based Newtonian
tools that they spend so much time learning about can be extended to high
speeds, non-inertial frames, and even (locally, of course) to curved-spacetime.
