Automated Feedback on Student Attempts to Produce a Set of Dimensionless Power Products from a Set of Physical Quantities that Describe a Physical Problem.
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| Title: | Automated Feedback on Student Attempts to Produce a Set of Dimensionless Power Products from a Set of Physical Quantities that Describe a Physical Problem. |
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| Authors: | Lundengård, Karl1 k.lundengard@imperial.ac.uk, Johnson, Peter2 peter.johnson@imperial.ac.uk, Ramsden, Phil1 p.ramsden@imperial.ac.uk |
| Source: | International Journal for Technology in Mathematics Education. 2024, Vol. 31 Issue 3, p117-124. 8p. |
| Subject Terms: | *Formative tests, *Mathematics students, Dimensionless numbers, Buckingham pi theorem, Vector spaces |
| Abstract: | Formative feedback is important in learning. Automating the provision of specific, objective, constructive feedback to large cohorts requires complex algorithms that most teachers do not have time to develop, suggesting that a community effort is needed to create a library of specialised algorithms. We present an exemplar algorithm for a class of tasks in 'dimensional analysis' relating to the Buckingham Pi theorem. The challenge arises because there are infinitely many valid and invalid answers, but any valid answer is sufficient to complete a task. We present an algorithm that, given one valid reference answer, can evaluate any response to a task. The algorithm uses a vector-space formulation of the Pi theorem. Deployment across seven tasks for 380 students provided feedback 3,090 times, including stating why a response is invalid. The most common reason was that a student-proposed set was not dimensionless, but other educationally relevant reasons were also identified. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 180720494 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Automated Feedback on Student Attempts to Produce a Set of Dimensionless Power Products from a Set of Physical Quantities that Describe a Physical Problem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lundengård%2C+Karl%22">Lundengård, Karl</searchLink><relatesTo>1</relatesTo><i> k.lundengard@imperial.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Johnson%2C+Peter%22">Johnson, Peter</searchLink><relatesTo>2</relatesTo><i> peter.johnson@imperial.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Ramsden%2C+Phil%22">Ramsden, Phil</searchLink><relatesTo>1</relatesTo><i> p.ramsden@imperial.ac.uk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Technology+in+Mathematics+Education%22">International Journal for Technology in Mathematics Education</searchLink>. 2024, Vol. 31 Issue 3, p117-124. 8p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Formative+tests%22">Formative tests</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematics+students%22">Mathematics students</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Buckingham+pi+theorem%22">Buckingham pi theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Formative feedback is important in learning. Automating the provision of specific, objective, constructive feedback to large cohorts requires complex algorithms that most teachers do not have time to develop, suggesting that a community effort is needed to create a library of specialised algorithms. We present an exemplar algorithm for a class of tasks in 'dimensional analysis' relating to the Buckingham Pi theorem. The challenge arises because there are infinitely many valid and invalid answers, but any valid answer is sufficient to complete a task. We present an algorithm that, given one valid reference answer, can evaluate any response to a task. The algorithm uses a vector-space formulation of the Pi theorem. Deployment across seven tasks for 380 students provided feedback 3,090 times, including stating why a response is invalid. The most common reason was that a student-proposed set was not dimensionless, but other educationally relevant reasons were also identified. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=180720494 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1564/tme_v31.3.02 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 117 Subjects: – SubjectFull: Formative tests Type: general – SubjectFull: Mathematics students Type: general – SubjectFull: Dimensionless numbers Type: general – SubjectFull: Buckingham pi theorem Type: general – SubjectFull: Vector spaces Type: general Titles: – TitleFull: Automated Feedback on Student Attempts to Produce a Set of Dimensionless Power Products from a Set of Physical Quantities that Describe a Physical Problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lundengård, Karl – PersonEntity: Name: NameFull: Johnson, Peter – PersonEntity: Name: NameFull: Ramsden, Phil IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 17442710 Numbering: – Type: volume Value: 31 – Type: issue Value: 3 Titles: – TitleFull: International Journal for Technology in Mathematics Education Type: main |
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