I submitted my Reflection Paper #2 and gave a presentation on the article, "Children's Literature: A Motivating Context to Explore Functions" by Esther Billings and Charlene Beckmann (NCTM, 2005).
I presented how teachers may present enriching material on functions with students, anywhere from K-12, using the delightful picture book based on a Chinese folktale by Lily Toy Hong, titled "Two of Everything."
Teachers may create a resource, explained by the authors of the article, of functions based on a captivating story that are obviously arising from the book, adapted from the book, or somewhat hidden, which may describe aspects that are suggested by the book if the students care to explore the nuances of the story further.
I tried the book out on my ESOL Kindergartners at School A and ESOL Second Graders at School B. There are numerous ways to present concepts and differentiate, from drawing pictures to using counters, to function or rule machines, to graphs. There is even the related English vocabulary of doubling, tripling, and quadrupling :)
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