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Undergraduate’s Covariational Reasoning Across Function Representations
Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME (2022)
  • Teegan Bailey, University of Florida
  • Darryl Chamberlain, Embry-Riddle Aeronautical University - Worldwide
  • Konstantina Christodoulopoulou, University of Florida
Abstract
Covariational Reasoning is the mental actions, constructions, and processes used to coordinate two or more quantities and interpret the relation between them. While research has shown that covariational reasoning is critical in a variety of fields, there has been a lack of studies on three dimensional covariational reasoning. This study utilizes the Action-Process-Object-Schema (APOS) Theory framework to analyze how a student applies covariational reasoning to a parametric representation to model a real-life three-dimensional scenario. Preliminary results suggest that students’ focus on experiential time may inhibit their ability to reason about two or three quantities relating to each other irrespective to time.
Keywords
  • Covariational Reasoning,
  • APOS Theory,
  • Calculus
Publication Date
February, 2022
Citation Information
Bailey, T., Chamberlain Jr., D., & Christodoulopoulou, K. (2022, Feb 24-26). Undergraduate’s covariational reasoning across function representations. Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME, Omaha, NE. URL: http://sigmaa.maa.org/rume/RUME24.pdf.