Some reflections on teaching....
  Hi, Chris.  I enjoyed reading your posts about your experiences teaching math.  I don’t think you mentioned the level you were teaching at, but the topic sent me into a wave of retrospection and reflection about my own teaching career.  As much as I enjoy retirement, I do miss my days at the lectern.  In my current recuperation mode,  I am going to ramble for a while about what I learned about teaching over those years -- which may be well be more than what my students ever learned from me. 
  I came into university teaching cold-turkey, following a ten year career in business sales.  Truthfully, I was scared stiff the day I walked into my first classroom to teach Marketing 101.  That lasted only ten minutes or so, and for 30 years thereafter I loved every minute of my teaching career.  I actually enjoyed the research and writing aspects even more than the classroom, but I got tremendous satisfaction  from the latter as well.
  When you go through a Ph.D program, you become an expert in your field, but one subject matter that is totally ignored is “teaching.”  This is something you learn only through on-the-job training.
  I believe that a lot of educators continue to approach teaching from an adversarial point of view, believing that students are inherently lazy and always looking for the easy way out.  This view leads to a classroom atmosphere emphasizing fear, compulsion, and sanctions for failure.  These approaches can produce results, but they also reinforce the students belief that learning is drudgery.  I never liked this kind of atmosphere, and I did not employ it in my classes.  
  I came to the view that the key to learning lies in the desire to learn; that students need to be given reasons for wanting to learn.  Inasmuch as my students were preparing for business careers, it was relatively easy for me to draw links between learning and career success, and my practical background enabled me to provide a lot of practical examples for reinforcement.  At the same time, though, I found that I needed to “undo” a lot of the negative perceptions of learning that had been instilled in my students in other classes.
  Another principle I employed was that of  “effect.”  That is, that learning occurs best when the effect is positive.  An example of this is the “dumb question.”  These occur plentifully in any classroom.  Many teachers respond to such questions with a put-down. (Indeed, too many teachers view their interaction with students as an opportunity to demonstrate their intellectual superiority).  In these classrooms, “dumb questions”  are quickly stifled.  Unfortunately, so are <all questions. (This may be viewed as desirable by some teachers, who believe that time is best filled with their own voices, instead of those of students).  I always scrupulously insisted in my classes that all questions or comments be treated with respect, and with whatever stretch might be necessary, I could always find something praiseworthy in any question that was ever asked of me in a classroom.
  The above also relates the importance of having students participate in the learning process, as opposed to being passive listeners.  There is an adage that we retain 10% of what we hear, 50% of what we hear and see, and 90% of what we hear, see, and participate in.  I rarely gave lectures in my classes (sigh, causing my students to miss many brilliant, witty, and profound pontifications <ggg>).  Everything I ever taught involved, in one way or another, hands-on application and practice at every step.
  Another thing I stressed was the idea of belonging; i.e., the relationship of every topic to all other topics.  I wanted my students to understand why every new topic was an essential piece of a larger framework.  One way I did this was to continuously ask my students to predict, or suggest, what topic should come next.  As we wound down one area, we would have a lively discussion of what we should be looking at next, and why.  I found that this approach created a very positive climate for the next “chapter,” almost a sense of an adventure awaiting.
  I always had the thought that my students would eventually forget 99 percent of the actual subject matter that I introduced them to.  Perhaps an isolated idea here and there would stick, but all the rest would evaporate into the air over time.  With that in mind, I figured that as long as were stuck together for 15 weeks, we might as well all enjoy the experience as best we could.  Yes we did have to have tests, and grades, and I was never regarded as a particularly easy grader.  But I found that with a little discussion, I could manage to have the pressure for grade achievement and recognition be perceived as coming more from my students than from me.  (I experimented at one time or another with “grade-less” classes, to find that it was my students who objected to them more than I might). 
  I don’t know whether I was a good teacher or not, but I think students did enjoy my classes, and a lot of them went on to successful careers.  Among the greatest rewards of teaching are those occasions when former students come back for visits and seek you out to thank you for what they think you did to help them along their way.
  Yeah, I do miss all of that, a lot.  Thanks, Chris, for bringing this all back to mind.
  JC |