So today I was on the bus and the subway reflecting about the best review exercises for the exam I was supposed to give this coming Monday...right before the long Spring break. I noticed that we have just discussed the basics of sets. So today I decided that the exam will be on Wednesday after Spring break.
I wanted to give students the opportunity to mature the different methods to prove a proposition, and also finish with the section of sets to then start such an important topic as functions. The student felt relieved after I made this announcement (I did not have big expectations since sometimes they don't want to study during breaks.)
We had a simple class activity where two sets A and B were given (as well as a specific universal set U) and the questions consisted of finding intersections, complements, differences, etc.
I was able to at least introduce functions and examples of a function mapping the set of students in a class to the set of final grades. They agreed that we can't assign two different grades to any particular student we choose.
Well, this is taking the classic path: domain, range, one-to-one, onto, bijections, etc., etc.
It brings so peace of mind to know that the class will have math preset during the Spring break.
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