PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
The role of multiplicative objects in a formula
Page: 273
The goal of this article is to propose a way to think about the role of a multiplicative object in reasoning about formulas quantitatively and covariationally. Building off the works of others on the importance of constructing multiplicative objects when reasoning about graphical representations, I adapt their definitions to be able to include a meaningful way to discuss what it means to construct a multiplicative object with a formula. I then use the analysis of six sessions of a semester-long teaching experiment with a preservice secondary mathematics teacher to illustrate what it means not to construct and what it means to construct a multiplicative object with a formula.