RUME 26
2024
Omaha, Nebraska
Student Reasoning and Cooperative Learning While Using a Dynamic Geometry Environment in Taxicab Geometry: An APOS Perspective
Page: 144
The goal of this research is to investigate ways a dynamic geometry environment (DGE) and interactions during cooperative learning can leverage student understanding in geometry. Data from 18 students enrolled in a College Geometry course were collected by video recording in- class group work while students explored concepts in Taxicab geometry in a DGE. The textbook from this course and its activities are based on Action-Process-Object-Schema (APOS) Theory. As such, APOS Theory was used as a theoretical framework to analyze student reasoning during these activities. For this report, results are presented for one group of students and their discussion while working on an activity which encouraged the exploration of the mathematical definition of a circle in Taxicab geometry in a DGE. Trends emerged about how group structure while working in DGEs may influence interactions and outcomes for students. Some pedagogical suggestions are provided based on the results of this study.