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)
|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|
|Note||Doctoral Dissertation Mathematics 2019|
|Collaborating Institutions||Graduate College / ASU Library|
|Additional Formats||MODS / OAI Dublin Core / RIS|