Logic in limericks

In these lines, Sandra DeLozier Coleman (who participated in the math-poetry reading at the Joint Mathematics Meetings in Baltimore in January) speaks as a professor reasoning in rhyme, explaining truth-value technicalities of the logical implication, "If p then q" (or, in notation, p -- > q ).

     The Implications of Logic     by Sandra DeLozier Coleman

     That p --> q is true,
     Doesn’t say very much about q.
     For if p should be false,
     Then there’s really no loss
     In assuming that q could be, too.  

The discipline of mathematics

This poem remembers one of my students.

       The Prince of Algebra      by JoAnne Growney

       Madam Professor,
       let me introduce myself.
       I'm Albert James,
       whom you may know
       by my test score
       that's lower than my age.

Teaching Math

When I was a new professor in the 1970s at Bloomsburg University (then Bloomsburg State College) my colleague PH and I discussed our teaching efforts and compared them with the ways we had been taught. We agreed that our university teachers seemed simply to dump mathematics on us in any manner whatever -- believing, it seemed, that those who were "smart enough" would pick it up.  (And other students should study sociology or communications  or the like.)  We and all around us worked to improve our teaching techniques and yet many years later it seems to continue that the privileged -- whether of wealth or education or gender or birthplace or whatever -- seldom see their advantages over those who are different.  And sometimes those of us who try the hardest fail our students because we do too much.  This latter idea led me to write this poem.

Rather like an elephant

What is mathematics?
          These days I am outside of mathematics looking in and my views of the subject are more complex than during the days when I was a professor and mathematician. Back in my math-prof days -- when I moaned about those who held the view that mathematics is merely computation -- I tried to explain to uncompreheding friends the role of calculation within mathematics with this analogy:  computation is to mathematics as spelling is to poetry.  But those for whom computation is all of their mathematics do not accept this argument.  Indeed, I myself now have the notion that one can navigate life competently without algebra -- much as I get along without Spanish or Chinese. But I regret not knowing them -- they are, like algebra, among the world's important languages.