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C) In particular, I am still entertaining the hypothesis that 5th-graders
are capable of learning geometric relationships. Evidence for this comes
from their ability at team sports and other activities as mentioned in my
previous note.
-- It is possible that they have to work hard to learn these.
-- It is possible that the usual passive participation in a lecture
about astronomy is insufficient.
-- It is possible that motivation is an issue.
The typical 5th grader spends many hours per week thinking about sports,
and spends not very many hours per year looking at the moon.
D) There are presumably Piagetan developmental stages involved; it may be
that less-mature persons deal with geometric relationships in one
way while
more-mature persons deal with them in another way.
E) I still think that saying typical college freshmen are "incapable" of
learning geometric relationships would be overstating the case.