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ERIC Number: EJ1274892
Record Type: Journal
Publication Date: 2020
Pages: 24
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-2469-9896
EISSN: N/A
Available Date: N/A
Categorical Framework for Mathematical Sense Making in Physics
Gifford, Julian D.; Finkelstein, Noah D.
Physical Review Physics Education Research, v16 n2 Article 020121 Jul-Dec 2020
We present a framework designed to help categorize various sense making moves, allowing for greater specificity in describing and understanding student reasoning and also in the development of curriculum to support this reasoning. The framework disaggregates between the mechanisms of student reasoning (the cognitive "tool" that they are employing) and what they are reasoning about (the "object"). Noting that either the tool or object could be mathematical or physical, the framework includes four basic sense making modes: Use of a mathematical tool to understand a mathematical object, use of a mathematical tool to understand a physical object, use of a physical tool to understand a mathematical object, and use of a physical tool to understand a physical object. We identify three fundamental processes by which these modes may be combined ("translation," "chaining," and "coordination") and present a visual representation that captures both the individual reasoning modes and the processes by which they are combined. The utility of the framework as a tool for describing student reasoning is demonstrated through the analysis of two extended reasoning episodes. Finally, implications of this framework for curricular design are discussed.
American Physical Society. One Physics Ellipse 4th Floor, College Park, MD 20740-3844. Tel: 301-209-3200; Fax: 301-209-0865; e-mail: assocpub@aps.org; Web site: http://prst-per.aps.org
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DUE1625824; DMR1548924
Author Affiliations: N/A