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Students’ Interpretations of Expressions in the Graphical Register and Its Relation to Their Interpretation of Points on Graphs when Evaluating Statements about Functions from Calculus


Abstract Functions represented in the graphical register, as graphs in the Cartesian plane, are found throughout secondary and undergraduate mathematics courses. In the study of Calculus, specifically, graphs of functions are particularly prominent as a means of illustrating key concepts. Researchers have identified that some of the ways that students may interpret graphs are unconventional, which may impact their understanding of related mathematical content. While research has primarily focused on how students interpret points on graphs and students’ images related to graphs as a whole, details of how students interpret and reason with variables and expressions on graphs of functions have remained unclear.

This dissertation reports a study chara... (more)
Created Date 2019
Contributor David, Erika Johara (Author) / Roh, Kyeong Hah (Advisor) / Thompson, Patrick W (Committee member) / Zandieh, Michelle (Committee member) / Dawkins, Paul C (Committee member) / Zazkis, Dov (Committee member) / Arizona State University (Publisher)
Subject Mathematics education / Calculus / Expressions / Functions / Graphing / Register / Undergraduate Students
Type Doctoral Dissertation
Extent 252 pages
Language English
Copyright
Note Doctoral Dissertation Mathematics 2019
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis