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Conceptualizing and Reasoning with Frames of Reference in Three Studies


Abstract This dissertation reports three studies about what it means for teachers and students to reason with frames of reference: to conceptualize a reference frame, to coordinate multiple frames of reference, and to combine multiple frames of reference. Each paper expands on the previous one to illustrate and utilize the construct of frame of reference. The first paper is a theory paper that introduces the mental actions involved in reasoning with frames of reference. The concept of frames of reference, though commonly used in mathematics and physics, is not described cognitively in any literature. The paper offers a theoretical model of mental actions involved in conceptualizing a frame of reference. Additionally, it posits mental actions that ar... (more)
Created Date 2019
Contributor Joshua, Surani Ashanthi (Author) / Thompson, Patrick W (Advisor) / Carlson, Marilyn (Committee member) / Roh, Kyeong Hah (Committee member) / Middleton, James (Committee member) / Culbertson, Robert (Committee member) / Arizona State University (Publisher)
Subject Mathematics education / Frame of Reference / Mathematical Meanings / Quantitative Reasoning / Student Thinking / Teacher Reasoning
Type Doctoral Dissertation
Extent 160 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