The use of ACER to develop and analyze student responses to expectation value problems

Green, Chrystin; Passante, Gina

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The use of ACER to develop and analyze student responses to expectation value problems

written by Chrystin Green and Gina Passante

In this study we use the ACER framework to investigate how students perform the expectation value in quantum mechanics. Students were given an exam question that required the use of the generalized uncertainty principle to find the lower bound of ΔAΔB for different angular momentum operators. This question requires students to use several mathematical tools, but in this study we focus on the expectation value. The data are analyzed using the ACER framework and we give special attention to students' choice of mathematical representation. Of the four components in the ACER framework (activation, construction, execution, and reflection), we find that in our question the activation step presents the largest stumbling block for students. We also discuss the limitations of the ACER framework for this type of investigation.

Physics Education Research Conference 2017
Part of the PER Conference series
Cincinnati, OH: July 26-27, 2017
Pages 152-155

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Last Modified: February 26, 2018

Subjects	Levels	Resource Types
Education Foundations - Learning Theory = Representations = Transfer - Problem Solving = Metacognition = Representational Use Quantum Physics - Foundations and Measurements = Uncertainty Principles	- Upper Undergraduate	- Reference Material = Research study

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Mirror:: https://doi.org/10.1119/perc.2017…
Access Rights:: Free access
License:: This material is released under a Creative Commons Attribution 3.0 license. Further distribution of this work must maintain attribution to the published article's author(s), title, proceedings citation, and DOI.
Rights Holder:: Copyright, Chrystin Green and Gina Passante
DOI:: 10.1119/perc.2017.pr.033
Keywords:: PERC 2017, mathematical tools, student reflection
Record Creator:: Metadata instance created February 26, 2018 by Lyle Barbato
Record Updated:: February 28, 2018 by Bruce Mason
Last Update when Cataloged:: March 1, 2018
Other Collections:: The Quantum Exchange

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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=14593">Green, Chrystin, and Gina Passante. "The use of ACER to develop and analyze student responses to expectation value problems." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017.</a>

AIP Format

C. Green and G. Passante, , presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770).

AJP/PRST-PER

C. Green and G. Passante, The use of ACER to develop and analyze student responses to expectation value problems, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770>.

APA Format

Green, C., & Passante, G. (2017, July 26-27). The use of ACER to develop and analyze student responses to expectation value problems. Paper presented at Physics Education Research Conference 2017, Cincinnati, OH. Retrieved December 5, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770

Chicago Format

Green, Chrystin, and Gina Passante. "The use of ACER to develop and analyze student responses to expectation value problems." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770 (accessed 5 December 2024).

MLA Format

Green, Chrystin, and Gina Passante. "The use of ACER to develop and analyze student responses to expectation value problems." Physics Education Research Conference 2017. Cincinnati, OH: 2017. 152-155 of PER Conference. 5 Dec. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770>.

BibTeX Export Format

@inproceedings{ Author = "Chrystin Green and Gina Passante", Title = {The use of ACER to develop and analyze student responses to expectation value problems}, BookTitle = {Physics Education Research Conference 2017}, Pages = {152-155}, Address = {Cincinnati, OH}, Series = {PER Conference}, Month = {July 26-27}, Year = {2017} }

Refer Export Format

%A Chrystin Green %A Gina Passante %T The use of ACER to develop and analyze student responses to expectation value problems %S PER Conference %D July 26-27 2017 %P 152-155 %C Cincinnati, OH %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770 %O Physics Education Research Conference 2017 %O July 26-27 %O application/pdf

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%0 Conference Proceedings %A Green, Chrystin %A Passante, Gina %D July 26-27 2017 %T The use of ACER to develop and analyze student responses to expectation value problems %B Physics Education Research Conference 2017 %C Cincinnati, OH %P 152-155 %S PER Conference %8 July 26-27 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14593&DocID=4770

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