Finally, during a physics class last
year in which I was
describing the motion of some object (a projectile, if I recall
correctly) by first demonstrating the motion, then drawing the force
diagram, writing the equations of motion - and their solution, and
sketching the graphs of the position as a function of time and of the
trajectory, a student asked what would have happened if the problem
were changed in some way (maybe by including air resistance, or
something). I proceeded to show the effect of the change in the
problem - in the diagram, in the equations and the solution, and in
the graphs of the motion. I looked around and the class was both
attentive and very anxious! I think my students were rather
concerned that they were expected to be able to quickly go from
problem statement to description, solution, graphs, and
interpretation just as I had done. So I stopped and asked how many
of them enjoyed music. They all raised their hands (but had no idea
why I asked). I then followed by asking how many played musical
instruments...fewer hands. Then how many could READ music ... still
fewer hands. And how many could sight read the music and play it on
their instrument ... fewer still. Finally, I asked how many could
read a musical score and HEAR the music. One hand remained. I explained: "Interpreting physics problems and reading music are very much alike
in that they are both learned skills - and you can learn anything you
want to learn. What you learn depends ultimately on you."
There are a number of lessons in these stories: We teach best
what
we understand deeply - and are passionate about. We should teach
the principles and the lines of reasoning, the goals and the possible
outcomes and implications. We should not underestimate our audience and should expect a lot from our students. The best of them deserve to be
challenged - and each can learn anything he or she wants to learn.
We should expect a lot from ourselves as well. Teaching excellence requires that
we remain students - learning, stretching, questioning and
remaining "childlike" in our curiosity and enthusiasm for learning.
Learning about one's universe is a lifelong endeavor - and there will
continue to be surprises and new insights for teacher and student
alike. We as teachers are very much like parents in that we have
influence on our students ... the only question being what kind of
influence we have based on what we say and do and the attitudes we project. Finally, all progress in science - as well as in education - is
ultimately driven by the questions asked. Our task is to pose the
right questions - and help our students learn to ask the right
questions.
Excellence in teaching ultimately has
little to do with the
mechanics of the process or the number of students we have or
whether we hand out course syllabi or how many tests we give or how
we grade. It has to do with creating the desire to learn and then
establishing the environment in which the learning can flourish.