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Abstract Title: Categories of mathematical sense making: Exploring how physics understanding can support mathematical understanding
Abstract: Recently there has been great interest in PER on student "sense making" and specifically on mathematical sense making.  In an attempt to operationalize mathematical sense making, we present a framework that distinguishes between the object of the sense making (mathematical or physical) and the tool used for sense making (formal mathematics or conceptual physics), thus foregrounding focus and mechanism in student problem solving.  In this framework, one possible mode of sense making occurs when a conceptual understanding of a physical system is used as a tool to understand a mathematical object, we label this mode of sense making physical sense making of math, or PSM-M.  Here, after briefly presenting the complete framework, we explore the PSM-M mode of sense making by considering student reasoning across two topics in physics, the photoelectric effect and probability distributions.
Abstract Type: Contributed Poster Presentation
Session Time: Poster Session III
Poster Number: C39
Contributed Paper Record: Contributed Paper Information
Contributed Paper Download: Download Contributed Paper

Author/Organizer Information

Primary Contact: Julian D. Gifford
University of Colorado Boulder
390 UCB
University of Colorado
Boulder, CO 80309
Co-Author(s)
and Co-Presenter(s)
Jessica R. Hoehn (University of Colorado Boulder)

Noah D. Finkelstein (University of Colorado Boulder)