Read the commentary on the swimming pool problem in "Experiences with Patterning," by Joan Ferrini-Mundy, Glenda Lappan, and Elizabeth Phillips, in Teaching Children Mathematics (February 1997), p. 282-288.
Now look at the problem on patterns from IMPACT Mathematics, Course 1. Think about asking questions that get at students' ability to think recursively. For example, if you knew there were 301 toothpicks for Term 100, could you state how many toothpicks were in the 102nd term?
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