Characterizing the mathematical problem-solving strategies of transitioning novice physics students

Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of “transitioning novices,” students...

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Autores principales:	Eric Burkholder, Lena Blackmon, Carl Wieman
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Special aspects of education LC8-6691 Physics QC1-999
Acceso en línea:	https://doaj.org/article/0f207bac74a4429f9eba5cc9af596e56
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spelling	oai:doaj.org-article:0f207bac74a4429f9eba5cc9af596e562021-12-02T11:05:06ZCharacterizing the mathematical problem-solving strategies of transitioning novice physics students10.1103/PhysRevPhysEducRes.16.0201342469-9896https://doaj.org/article/0f207bac74a4429f9eba5cc9af596e562020-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevPhysEducRes.16.020134http://doi.org/10.1103/PhysRevPhysEducRes.16.020134https://doaj.org/toc/2469-9896Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of “transitioning novices,” students who have completed an introductory physics course and have learned some problem-solving strategies, but are far from expertlike in their reasoning. We find that students mostly use intermediate strategies that reflect an understanding of specific relationships between quantities, such as analyzing the units of an expression, to reason about mathematical expressions. Few students use more sophisticated strategies like checking limits, which require students to run mental simulations to predict how a system will behave as different physical variables are changed. The teaching of more advanced strategies like limit checking will require careful scaffolding of the cognitive complexity, as students generally do not succeed when simply told to check limits. This is supported by the findings of Lin and Singh [Phys. Rev. Phys. Educ. Res. 7, 020104 (2011)10.1103/PhysRevSTPER.7.020104] that careful scaffolding is needed to help students solve more complex problems. In this particular group, students were able to successfully analyze the dimensions of an expression and compute component forces and torques to check if their answer made sense. Our results show that there is a need to recognize and teach these intermediary strategies to enable more novice students to check their answers and encourage students to become more expertlike.Eric BurkholderLena BlackmonCarl WiemanAmerican Physical SocietyarticleSpecial aspects of educationLC8-6691PhysicsQC1-999ENPhysical Review Physics Education Research, Vol 16, Iss 2, p 020134 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Special aspects of education LC8-6691 Physics QC1-999
spellingShingle	Special aspects of education LC8-6691 Physics QC1-999 Eric Burkholder Lena Blackmon Carl Wieman Characterizing the mathematical problem-solving strategies of transitioning novice physics students
description	Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of “transitioning novices,” students who have completed an introductory physics course and have learned some problem-solving strategies, but are far from expertlike in their reasoning. We find that students mostly use intermediate strategies that reflect an understanding of specific relationships between quantities, such as analyzing the units of an expression, to reason about mathematical expressions. Few students use more sophisticated strategies like checking limits, which require students to run mental simulations to predict how a system will behave as different physical variables are changed. The teaching of more advanced strategies like limit checking will require careful scaffolding of the cognitive complexity, as students generally do not succeed when simply told to check limits. This is supported by the findings of Lin and Singh [Phys. Rev. Phys. Educ. Res. 7, 020104 (2011)10.1103/PhysRevSTPER.7.020104] that careful scaffolding is needed to help students solve more complex problems. In this particular group, students were able to successfully analyze the dimensions of an expression and compute component forces and torques to check if their answer made sense. Our results show that there is a need to recognize and teach these intermediary strategies to enable more novice students to check their answers and encourage students to become more expertlike.
format	article
author	Eric Burkholder Lena Blackmon Carl Wieman
author_facet	Eric Burkholder Lena Blackmon Carl Wieman
author_sort	Eric Burkholder
title	Characterizing the mathematical problem-solving strategies of transitioning novice physics students
title_short	Characterizing the mathematical problem-solving strategies of transitioning novice physics students
title_full	Characterizing the mathematical problem-solving strategies of transitioning novice physics students
title_fullStr	Characterizing the mathematical problem-solving strategies of transitioning novice physics students
title_full_unstemmed	Characterizing the mathematical problem-solving strategies of transitioning novice physics students
title_sort	characterizing the mathematical problem-solving strategies of transitioning novice physics students
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/0f207bac74a4429f9eba5cc9af596e56
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Characterizing the mathematical problem-solving strategies of transitioning novice physics students

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