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An eye-tracking approach to mathematical modelling: Investigating the use of function graphs in describing basic movement
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Journal Article
An eye-tracking approach to mathematical modelling: Investigating the use of function graphs in describing basic movement
2025
Overview
Mathematical modelling is a central skill emphasized in mathematics curricula and a core topic in physics education. This study presents an excerpt from a broader investigation into students’ understanding of functions, focusing specifically on function graphs as tools for describing motion. Employing methodological triangulation - including questionnaires, eye tracking technology, and open-ended in-depth interviews - the study examines how students understand the graph of a daily life movement, specifically walking up stairs. The analysis identifies key difficulties and misconceptions. Although all students demonstrated competence in “reading the data” and “reading between the data,” a majority were unable to correctly identify the graph corresponding to the motion. Various interpretations emerged, with most incorrect responses stemming from a “graph as picture” misconception - where students conflated the graph with either the trajectory of movement or the physical design of the stairs. The findings also reveal a deficiency in covariational thinking among some participants. These insights underscore the importance of developing targeted instructional strategies to enhance conceptual understanding and covariational reasoning in the interpretation of function graphs.
Publisher
IOP Publishing
Subject
