Wednesday, February 26, 2014

Email RE: Grading Natural Numbers


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11:46 AM (1 hour ago)

to ######, Thomas, ######

Hi,

As I am grading all of the 243 homework for this semester, I noticed 0 is in the set of natural numbers according to this semester's MAT 243 book. I just want to confirm what your definition of a natural number is, since this book apparently uses 0 in this set. I personally don't agree with this, but I want you to let me know what I should do when grading. Some students assume this while others may be confused in the homework. Some students give functions that don't map to 0, but can be onto if 0 wasn't defined and so on. I know the "how to prove it book" did this to me as well... Just let me know how you think that I should grade this. Thank you and have a great day.

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Hi #### (and ####### and #####), I tell them that the definition of the natural numbers is contested, they can assume the book's definition which includes zero, but if they want they use the definition that excludes zero they can as long as they specify precisely the definition they mean.  I expect that few people paid attention--and if they use or seem like they could be using the natural numbers excluding zero without so specifying, please feel free to knock off points.

best,
Tom

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