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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American Physical Society
2019
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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) |
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Special aspects of education LC8-6691 Physics QC1-999 |
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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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1718395861506981888 |