Challenges in addressing student difficulties with basics and change of basis for two-state quantum systems using a multiple-choice question sequence in online and in-person classes
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| Format: | Preprint |
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2024
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| _version_ | 1866917802994040832 |
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| author | Hu, Peter Li, Yangqiuting Singh, Chandralekha |
| author_facet | Hu, Peter Li, Yangqiuting Singh, Chandralekha |
| contents | Research-validated multiple-choice questions comprise an easy-to-implement instructional tool for scaffolding student learning and providing formative assessment of students' knowledge. We present findings from the implementation of a research-validated multiple-choice question sequence on the basics of two-state quantum systems, including inner products, outer products, translation between Dirac notation and matrix representation in a particular basis, and change of basis. This study was conducted in an advanced undergraduate quantum mechanics course, in both online and in-person learning environments, across three years. For each cohort, students had their learning assessed after traditional lecture-based instruction in relevant concepts before engaging with the multiple-choice question sequence. Their performance was evaluated again afterwards with a similar assessment and compared to their earlier performance. We analyze, compare, and discuss the trends observed in the three implementations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18069 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Challenges in addressing student difficulties with basics and change of basis for two-state quantum systems using a multiple-choice question sequence in online and in-person classes Hu, Peter Li, Yangqiuting Singh, Chandralekha Physics Education Research-validated multiple-choice questions comprise an easy-to-implement instructional tool for scaffolding student learning and providing formative assessment of students' knowledge. We present findings from the implementation of a research-validated multiple-choice question sequence on the basics of two-state quantum systems, including inner products, outer products, translation between Dirac notation and matrix representation in a particular basis, and change of basis. This study was conducted in an advanced undergraduate quantum mechanics course, in both online and in-person learning environments, across three years. For each cohort, students had their learning assessed after traditional lecture-based instruction in relevant concepts before engaging with the multiple-choice question sequence. Their performance was evaluated again afterwards with a similar assessment and compared to their earlier performance. We analyze, compare, and discuss the trends observed in the three implementations. |
| title | Challenges in addressing student difficulties with basics and change of basis for two-state quantum systems using a multiple-choice question sequence in online and in-person classes |
| topic | Physics Education |
| url | https://arxiv.org/abs/2402.18069 |