A Framework for Time and Covariational Reasoning
Page: 922
Within the line of work on students’ quantitative reasoning, researchers have alluded to the significance of time in constructing covariational relationships. I draw on this body of literature and return to Piaget’s perspective on time to provide a framework for the role of time in students’ (co)variational relationships. The framework also clarifies the nature of the multiplicative objects underlying students’ (co)variational relationships. In support of illustrating the framework and capturing its emergence from building second-order models of students’ mathematics, I also describe a task and how its design reflects the framework.