PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
A Student’s Use of Definitions in the Derivation of the Taxicab Circle Equation
Page: 1394
Research shows that by observing properties and making conjectures in other geometries, students can better develop their understanding of concepts in Euclidean geometry. It is also known that definitions in mathematics are an integral part of understanding concepts, and are often not used correctly in proof or logic courses by students. APOS Theory is used as the framework in this preliminary data analysis to determine one students’ understanding of certain definitions in Euclidean and Taxicab geometry, and her use of these definitions in deriving an equation for a circle in Taxicab geometry.