Student Understanding and Generalization of Functions from Single to Multivariable Calculus

Honors College Thesis

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Citeable URL: https://ir.library.oregonstate.edu/concern/honors_college_theses/x346d637b

Descriptions

Attribute Name	Values
Creator	Kerrigan, Sarah
Abstract	Students struggle with the concept of functions and the notation associated with it in various mathematical contexts. This thesis investigates student understanding of function notation through their generalization of single variable functions to multivariable functions in a variety of situations. Semi-structured student interviews were conducted and analyzed through a framework using concept image and concept definition coupled with an actor-oriented generalization taxonomy. The findings suggest that students relate back to forms and situations from single variable to assign meaning to multivariable functions. Several teaching implications are suggested based on the trends that emerged in how students understand functions and notation.
License	All rights reserved
Resource Type	Honors College Thesis
Date Available	2015-06-05T14:10:20+00:00
Date Issued	2015-05-20
Degree Level	Bachelor's
Degree Name	Honors Bachelor of Science (H.B.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2015
Advisor	Weber, Eric
Non-Academic Affiliation	Oregon State University. Honors College
权利声明	In Copyright
Funding Statement (additional comments about funding)	NSF Grant DRL-1419973
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/55961

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