PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2017
San Diego, California
Principles for designing tasks that promote covariational reasoning
Page: 928
Researchers have demonstrated the importance of covariational reasoning for students’ development of various mathematical ideas. Several researchers have also argued that creating and sustaining multiplicative objects is a necessary mental action to reason covariationally. In this report, we describe task-design principles we have found to be productive for investigating and supporting students’ construction of multiplicative objects and their covariational reasoning. Drawing on our research investigating students’ covariational reasoning, we include data that highlights how these principles have been productive in our research and teaching.