PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
Generalizing actions of forming: Identifying patterns and relationships between quantities
Page: 602
In this paper, we illustrate and discuss two undergraduate students’ reasoning about quantities’ magnitudes. One student identified regularities regarding the relationship between two quantities by focusing on successive amounts of change of one quantity (i.e., a pattern) while the other attended to relative amounts of changes in both quantities (i.e., a relationship). We illustrate that although reasoning about amounts of change is useful for making sense of the rate of change in quantities, reasoning about relative changes in identifying a relationship between quantities’ magnitudes is likely more productive in developing the concept of rate of change