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There is a really fun essay by David Mermin about something he calls
"The Amazing Relativity Engine". I read it in his collection:
"Boojums All the Way Through". It is about a simple way to
illustrate that time dilation and length contraction follow
automatically from the relativity of simultaneity.
In brief: he sets up two rocket trains, moving in opposite
directions, each numbered car with a clock on it. The scientists on
each train have been told that their clocks are synchronized though
we can see in a our spectator's frame that "really" they are not. We
collect photographs showing pairs of opposite train cars with their
clocks. By analyzing well-chosen pairs of such photos, each set of
scientists can prove that the other (moving) team's clocks are
running slow, are not synchronized and that the moving train is
shorter. And this is all because they "erroneously" believe that
their own clocks are synchronized.
I am not doing this justice, but I highly recommend the essay and the
approach, especially for less algebraically skilled students
(Mermin's originally intended audience).