This PDF file presents a chapter of Annual Perspectives in Mathematics 2014: Using Research to Improve Instruction in a downloadable file that preserves the design and layout of the book while allowing users to search and print selected pages.

Chapter 17: “Exploring Functions in Elementary School: Leveraging the Representational Context.” Darrell Earnest (University of Massachusetts, Amherst) considers the role of the representational context co-created by teachers and students to explore, test, reason, and argue about mathematical ideas. A case study shows one third-grade teacher’s lesson implementation in which students produced increasingly systematic expressions of generalizations.

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