One of the big
misapprehensions
about mathematics
that we perpetrate
in our classrooms is
that the teacher
always seems to know
the answer to any
problem that is
discussed. This
gives students the
idea that there is a
book somewhere with
all the right
answers to all of
the interesting
questions, and that
teachers know those
answers. And if one
could get hold of
the book, one would
have everything
settled. That's so
unlike the true
nature of
mathematics.
Citation:
L.A. Steen and D.J.
Albers (eds.),
Teaching
Teachers, Teaching
Students,
Boston: Birkhauser,
1981, p. 89.