TY - GEN

T1 - What Gaze Data Reveal About Coordinating Multiple Mathematical Representations

AU - Wills, Theodore

AU - Shipley, Thomas F.

AU - Chang, Briana L.

AU - Cromley, Jennifer G.

AU - Booth, Julie L.

N1 - Publisher Copyright:
© 2014 Proceedings of the 36th Annual Meeting of the Cognitive Science Society, CogSci 2014. All rights reserved.

PY - 2014

Y1 - 2014

N2 - 40 High school students were given a battery of paper and pencil tests, which collectively assessed a variety of spatial abilities, graph and table competencies, conceptual mastery of calculus, and achievement in common topics from typical precalculus and calculus courses. In addition, students completed a computer-presented measure of Coordinating Multiple Representations (CMR), in which they had to assess whether two mathematical representations (e.g. an equation and a graph) depicted the same underlying mathematical function. Gaze data were captured during this measure, using a Tobii T60 eye tracker. Findings suggest that good or poor performance on several paper measures is associated with distinct and specific gaze behaviors. Better achievement scores are associated with fewer fixations near the centerline of the graph, and with fewer point-plotting and function scanning behaviors. These findings are discussed in terms of differing approaches or strategies for engaging in CMR.

AB - 40 High school students were given a battery of paper and pencil tests, which collectively assessed a variety of spatial abilities, graph and table competencies, conceptual mastery of calculus, and achievement in common topics from typical precalculus and calculus courses. In addition, students completed a computer-presented measure of Coordinating Multiple Representations (CMR), in which they had to assess whether two mathematical representations (e.g. an equation and a graph) depicted the same underlying mathematical function. Gaze data were captured during this measure, using a Tobii T60 eye tracker. Findings suggest that good or poor performance on several paper measures is associated with distinct and specific gaze behaviors. Better achievement scores are associated with fewer fixations near the centerline of the graph, and with fewer point-plotting and function scanning behaviors. These findings are discussed in terms of differing approaches or strategies for engaging in CMR.

KW - Eye tracking

KW - coordinating multiple representations, graphs

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M3 - Conference contribution

AN - SCOPUS:85092582799

T3 - Proceedings of the 36th Annual Meeting of the Cognitive Science Society, CogSci 2014

SP - 3113

EP - 3118

BT - Proceedings of the 36th Annual Meeting of the Cognitive Science Society, CogSci 2014

PB - The Cognitive Science Society

T2 - 36th Annual Meeting of the Cognitive Science Society, CogSci 2014

Y2 - 23 July 2014 through 26 July 2014

ER -