PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
Mathematics of graphic animations of solids of revolution
Page: 1144
The purpose of this study is to look at the covariational reasoning necessary to define surfaces parametrically in 3-space and the mathematics involved in writing statements in Graphing Calculator (GC). This study offers evidence on how developed ideas of covariational reasoning and parametric explanation have an impact on visualizing animations, especially in the case of solids of revolution. Additionally, the analysis of seven calculus textbooks focusing on parametrically defined relationships reveals that the use of parametric explanation is confined to representing familiar graphs parametrically and the trends of describing parametric relationships in the textbooks will be discussed as well. Through the structured way of thinking embedded in the statements in GC, students will be able to understand how the surfaces are formed as the parameters vary.