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In this study, we examine introductory physics students' ability to perform analogical reasoning between two isomorphic problems which employ the same underlying physics principles but have different surface features. Three hundred sixty-two students from a calculus-based and an algebra-based introductory physics course were given a quiz in the recitation in which they had to first learn from a solved problem provided and take advantage of what they learned from it to solve another problem (which we call the quiz problem) which was isomorphic. Previous research suggests that the multiple-concept quiz problem is challenging for introductory students. Students in different recitation classes received different interventions in order to help them discern and exploit the underlying similarities of the isomorphic solved and quiz problems. We also conducted think-aloud interviews with four introductory students in order to understand in depth the difficulties they had and explore strategies to provide better scaffolding. We found that most students were able to learn from the solved problem to some extent with the scaffolding provided and invoke the relevant principles in the quiz problem. However, they were not necessarily able to apply the principles correctly. Research suggests that more scaffolding is needed to help students in applying these principles appropriately. We outline a few possible strategies for future investigation.
Physical Review Special Topics - Physics Education Research: Volume 7, Issue 2, Pages 020104
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=11939">Lin, Shih-Yin, and Chandralekha Singh. "Using isomorphic problems to learn introductory physics." Phys. Rev. ST Phys. Educ. Res. 7, no. 2, (August 31, 2011): 020104.</a>
![]() S. Lin and C. Singh, , Phys. Rev. ST Phys. Educ. Res. 7 (2), 020104 (2011), WWW Document, (https://doi.org/10.1103/PhysRevSTPER.7.020104).
![]() S. Lin and C. Singh, Using isomorphic problems to learn introductory physics, Phys. Rev. ST Phys. Educ. Res. 7 (2), 020104 (2011), <https://doi.org/10.1103/PhysRevSTPER.7.020104>.
![]() Lin, S., & Singh, C. (2011, August 31). Using isomorphic problems to learn introductory physics. Phys. Rev. ST Phys. Educ. Res., 7(2), 020104. Retrieved May 2, 2025, from https://doi.org/10.1103/PhysRevSTPER.7.020104
![]() Lin, Shih-Yin, and Chandralekha Singh. "Using isomorphic problems to learn introductory physics." Phys. Rev. ST Phys. Educ. Res. 7, no. 2, (August 31, 2011): 020104, https://doi.org/10.1103/PhysRevSTPER.7.020104 (accessed 2 May 2025).
![]() Lin, Shih-Yin, and Chandralekha Singh. "Using isomorphic problems to learn introductory physics." Phys. Rev. ST Phys. Educ. Res. 7.2 (2011): 020104. 2 May 2025 <https://doi.org/10.1103/PhysRevSTPER.7.020104>.
![]() @article{
Author = "Shih-Yin Lin and Chandralekha Singh",
Title = {Using isomorphic problems to learn introductory physics},
Journal = {Phys. Rev. ST Phys. Educ. Res.},
Volume = {7},
Number = {2},
Pages = {020104},
Month = {August},
Year = {2011}
}
![]() %A Shih-Yin Lin %A Chandralekha Singh %T Using isomorphic problems to learn introductory physics %J Phys. Rev. ST Phys. Educ. Res. %V 7 %N 2 %D August 31, 2011 %P 020104 %U https://doi.org/10.1103/PhysRevSTPER.7.020104 %O application/pdf ![]() %0 Journal Article %A Lin, Shih-Yin %A Singh, Chandralekha %D August 31, 2011 %T Using isomorphic problems to learn introductory physics %J Phys. Rev. ST Phys. Educ. Res. %V 7 %N 2 %P 020104 %8 August 31, 2011 %U https://doi.org/10.1103/PhysRevSTPER.7.020104 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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