To end class today, students were asked to compare/contrast Arithmetic and Geometric Sequences.
Leave it to me not to snap a pic of some of their thoughts. Many you would expect…a starting value, n-1, repeated operations, etc.
One student made the statement that “they both involved positive operations.”
Me: Hmm? What do you mean by that?
S: “I see addition and multiplication as positive operations. Even when we were subtracting, I defined it as adding a negative value. When I was dividing, I defined it as multiplication by a decimal or fraction factor.”
Hmm. That thought has kept coming back all through the day…not sure why I keep pondering on it.
the radical rational... 