Undergraduate’s Covariational Reasoning Across Function Representations

Teegan Bailey; Darryl Chamberlain; Konstantina Christodoulopoulou

Undergraduate’s Covariational Reasoning Across Function Representations

Teegan Bailey, Darryl Chamberlain, Konstantina Christodoulopoulou

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME
State	Published - Feb 2022
Externally published	Yes

Keywords

Covariational Reasoning
APOS Theory
Calculus

Disciplines

Science and Mathematics Education

Access to Document

06_Proceeding_Covariational_Reasoning.pdfFinal published version, 1.19 MBLicense: Unspecified

Cite this

@article{944dbe066b7d49c38ee7315e0d487a74,

title = "Undergraduate{\textquoteright}s Covariational Reasoning Across Function Representations",

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{\textquoteright} 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",

author = "Teegan Bailey and Darryl Chamberlain and Konstantina Christodoulopoulou",

note = "Bailey, T., Chamberlain Jr., D., & Christodoulopoulou, K. (2022, Feb 24-26). Undergraduate{\textquoteright}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.",

year = "2022",

month = feb,

language = "American English",

journal = "Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME",

}

TY - JOUR

T1 - Undergraduate’s Covariational Reasoning Across Function Representations

AU - Bailey, Teegan

AU - Chamberlain, Darryl

AU - Christodoulopoulou, Konstantina

N1 - 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.

PY - 2022/2

Y1 - 2022/2

N2 - 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.

AB - 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.

KW - Covariational Reasoning

KW - APOS Theory

KW - Calculus

M3 - Article

JO - Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME

JF - Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education: SIGMAA on RUME

ER -