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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 problems on patterns from Everyday Mathematics, Student Journal. Think of questions that extend students' thinking beyond simply finding the next number:
• | Could you predict the 20th number in the list? |
• | Could 11 ever be a number in the list? |
• | If you knew the 99th number, could you determine the 101st number? |
<< back to Part B: An Example for Developing Algebraic Thinking
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