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Good point, Jack. I didn't mean to commend or condemn math teaching in
general, only that they and other disciplines have achieved some sort of
continuity in their progression that we in science have not been able to
achieve. Thus we simply repeat everything over and over again, just as if
the students had never seen it before, which, of course, is the case for
many of them at each level. This does allow for students to enter the chain
at several points, but if we had some sort of progression starting earlier
in the educational process, it would not be necessary to allow for this
situation.