Students’ Generalizations of Single-Variable Conceptions of the Definite Integral to Multivariate Conceptions

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Abstract/Description:

Prior research has documented several conceptualizations students have regarding the definite integral, though the conceptualizations are largely based off of single-variable integral expressions. No research to date has documented how students’ understanding of integration becomes generalized for multivariate contexts. This paper describes six conceptualizations of multivariate definite integrals and how they connect to students’ prior conceptions of single-variable definite integrals.


Location: RUME Conference, Pittsburgh, Pennsylvania
Presenter:

Steven Jones, Brigham Young University; Allison Dorko and Eric Weber, Oregon State University