Exploring student preferences when calculating expectation values using a computational features framework

Undergraduate quantum mechanics (QM) uses a variety of notations, each with their own advantages and constraints, for representing quantum states and carrying out individual calculations. An example of this can be seen when calculating expectation values, which can be solved using several different...

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Autores principales: Benjamin P. Schermerhorn, Gina Passante, Homeyra Sadaghiani, Steven J. Pollock
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Lenguaje:EN
Publicado: American Physical Society 2019
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Acceso en línea:https://doaj.org/article/09d31b918f21420b93f518a93dfbf1c4
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spelling oai:doaj.org-article:09d31b918f21420b93f518a93dfbf1c42021-12-02T11:30:04ZExploring student preferences when calculating expectation values using a computational features framework10.1103/PhysRevPhysEducRes.15.0201442469-9896https://doaj.org/article/09d31b918f21420b93f518a93dfbf1c42019-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevPhysEducRes.15.020144http://doi.org/10.1103/PhysRevPhysEducRes.15.020144https://doaj.org/toc/2469-9896Undergraduate quantum mechanics (QM) uses a variety of notations, each with their own advantages and constraints, for representing quantum states and carrying out individual calculations. An example of this can be seen when calculating expectation values, which can be solved using several different methods. Analysis of written exam data given at three universities (teaching spins-first QM) showed students were more likely to use matrix or integral calculation in situations where it is much simpler to use a summation method. By adapting the structural features framework by Gire and Price, we are able to answer questions regarding how and why students use different methods. We analyze student responses to expectation value problems administered in interviews conducted at two universities in the middle and end of the semester to highlight specific areas of difficulty and features of the methods which led to students’ choices of one method over another.Benjamin P. SchermerhornGina PassanteHomeyra SadaghianiSteven J. PollockAmerican Physical SocietyarticleSpecial aspects of educationLC8-6691PhysicsQC1-999ENPhysical Review Physics Education Research, Vol 15, Iss 2, p 020144 (2019)
institution DOAJ
collection DOAJ
language EN
topic Special aspects of education
LC8-6691
Physics
QC1-999
spellingShingle Special aspects of education
LC8-6691
Physics
QC1-999
Benjamin P. Schermerhorn
Gina Passante
Homeyra Sadaghiani
Steven J. Pollock
Exploring student preferences when calculating expectation values using a computational features framework
description Undergraduate quantum mechanics (QM) uses a variety of notations, each with their own advantages and constraints, for representing quantum states and carrying out individual calculations. An example of this can be seen when calculating expectation values, which can be solved using several different methods. Analysis of written exam data given at three universities (teaching spins-first QM) showed students were more likely to use matrix or integral calculation in situations where it is much simpler to use a summation method. By adapting the structural features framework by Gire and Price, we are able to answer questions regarding how and why students use different methods. We analyze student responses to expectation value problems administered in interviews conducted at two universities in the middle and end of the semester to highlight specific areas of difficulty and features of the methods which led to students’ choices of one method over another.
format article
author Benjamin P. Schermerhorn
Gina Passante
Homeyra Sadaghiani
Steven J. Pollock
author_facet Benjamin P. Schermerhorn
Gina Passante
Homeyra Sadaghiani
Steven J. Pollock
author_sort Benjamin P. Schermerhorn
title Exploring student preferences when calculating expectation values using a computational features framework
title_short Exploring student preferences when calculating expectation values using a computational features framework
title_full Exploring student preferences when calculating expectation values using a computational features framework
title_fullStr Exploring student preferences when calculating expectation values using a computational features framework
title_full_unstemmed Exploring student preferences when calculating expectation values using a computational features framework
title_sort exploring student preferences when calculating expectation values using a computational features framework
publisher American Physical Society
publishDate 2019
url https://doaj.org/article/09d31b918f21420b93f518a93dfbf1c4
work_keys_str_mv AT benjaminpschermerhorn exploringstudentpreferenceswhencalculatingexpectationvaluesusingacomputationalfeaturesframework
AT ginapassante exploringstudentpreferenceswhencalculatingexpectationvaluesusingacomputationalfeaturesframework
AT homeyrasadaghiani exploringstudentpreferenceswhencalculatingexpectationvaluesusingacomputationalfeaturesframework
AT stevenjpollock exploringstudentpreferenceswhencalculatingexpectationvaluesusingacomputationalfeaturesframework
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