Ok, so I have no idea how other people do it, but I feel like I am on the verge of drowning. Getting ready for classes, grading constantly, now we'll start math circles for teachers, need to write grants. Yikes.
So, we've been going for almost three weeks now. Apart from feeling like there should be 36 hours in a day, I'm enjoying both my classes a lot. Since I have some grading to do and I have to get ready for tomorrow's class I'll only write two observations.
El. math teachers course: From what I can observe (and this class isn't exception, I don't think) my students believe that in order to learn mathematics they only need to solve problems. But how can you find a complement of a set if you don't know what a complement of a set is. It is hard work to make them learn definitions. Or even to see the value of definitions.
Secondary: There was a homework problem that I assigned that asked "How would you want your students to respond to question: Explain why the sum of the digits of any multiple of 3 is itself divisible by 3." The question came form Principles and Standards, so one might imagine that this is material that these students will be expected to teach once they become teachers. I wonder what response you think I got. I'll tell you about three that I found most surprising: they said that they wouldn't expect their students to know the answer since they themselves don't know it. What was surprising, or rather what made me sad, was the fact that not only did they not know, but they didn't express any desire to find out. They didn't say "We'll look it up" nor "Can you tell us?", and they definitely didn't say "I'll work it out." I guess it's only a beginning of the semester :) Maybe we'll see some improvements as the class goes on.