Covariation Graphing Practices: The Change Triangle

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Using a sociocultural lens to study graphing, we investigate the graphing practices of an experienced function-based algebra teacher to see how she uses the change triangle to support students reasoning about covariation and rates of change. We describe the elements of a change triangle and the ways the teacher attends to and reasons with these elements and multiple copies of the change triangle to enact a variety of practices as she completes common tasks related to functions and their graphs.

Location: PMENA Conference in Greensville, South Carolina

Daniel Siebert and Konda Luckau, Brigham Young University