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The Ratio Table: a tool for understanding ratios
written by
Philip Southey
Arnold Arons described an inadequate understanding of ratios as "one of the most serious impediments to the study of science" [1]. Yet ample math and physics education research demonstrates that STEM university students struggle with ratios. For example, students are familiar with the notion of "meters per second", but many do not attribute meaning to the notion of "seconds per meter" [2]. This manuscript presents a simple technique dubbed "The Ratio Table" for helping students work algebraically with ratios, and make physical sense of units involving "per". The technique was implemented and assessed through repeated pre- and post administration of a set of written questions. Results suggest that this relatively small intervention can boost student performance
Physics Education Research Conference 2019
Part of the PER Conference series Provo, UT: July 24-25, 2019 Pages 567-572
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![]() <a href="https://www.per-central.org/items/detail.cfm?ID=15306">Southey, Philip. "The Ratio Table: a tool for understanding ratios." Paper presented at the Physics Education Research Conference 2019, Provo, UT, July 24-25, 2019.</a>
![]() P. Southey, , presented at the Physics Education Research Conference 2019, Provo, UT, 2019, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218).
![]() P. Southey, The Ratio Table: a tool for understanding ratios, presented at the Physics Education Research Conference 2019, Provo, UT, 2019, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218>.
![]() Southey, P. (2019, July 24-25). The Ratio Table: a tool for understanding ratios. Paper presented at Physics Education Research Conference 2019, Provo, UT. Retrieved February 9, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218
![]() Southey, Philip. "The Ratio Table: a tool for understanding ratios." Paper presented at the Physics Education Research Conference 2019, Provo, UT, July 24-25, 2019. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218 (accessed 9 February 2025).
![]() Southey, Philip. "The Ratio Table: a tool for understanding ratios." Physics Education Research Conference 2019. Provo, UT: 2019. 567-572 of PER Conference. 9 Feb. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218>.
![]() @inproceedings{
Author = "Philip Southey",
Title = {The Ratio Table: a tool for understanding ratios},
BookTitle = {Physics Education Research Conference 2019},
Pages = {567-572},
Address = {Provo, UT},
Series = {PER Conference},
Month = {July 24-25},
Year = {2019}
}
![]() %A Philip Southey %T The Ratio Table: a tool for understanding ratios %S PER Conference %D July 24-25 2019 %P 567-572 %C Provo, UT %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218 %O Physics Education Research Conference 2019 %O July 24-25 %O application/pdf ![]() %0 Conference Proceedings %A Southey, Philip %D July 24-25 2019 %T The Ratio Table: a tool for understanding ratios %B Physics Education Research Conference 2019 %C Provo, UT %P 567-572 %S PER Conference %8 July 24-25 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15306&DocID=5218 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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