TY - JOUR

T1 - Framework for the natures of negativity in introductory physics

AU - Brahmia, Suzanne White

AU - Olsho, Alexis

AU - Smith, Trevor I.

AU - Boudreaux, Andrew

N1 - Publisher Copyright:
© 2020 American Physical Society. All rights reserved.

PY - 2020/1

Y1 - 2020/1

N2 - Mathematical reasoning skills are a desired outcome of many introductory physics courses, particularly calculus-based physics courses. Novices can struggle to understand the many roles signed numbers play in physics contexts, and recent evidence shows that unresolved struggle can carry over to subsequent physics courses. Positive and negative quantities are ubiquitous in physics, and the sign carries important and varied meanings. The mathematics education research literature documents the cognitive challenge of conceptualizing negative numbers as mathematical objects-both for experts, historically, and for novices as they learn. We contribute to the small but growing body of research in physics contexts that examines student reasoning about signed quantities and reasoning about the use and interpretation of signs in mathematical models. In this paper we present a framework for categorizing various meanings and interpretations of the negative sign in physics contexts, inspired by established work in algebraic contexts from the mathematics education research community. Such a framework can support innovation that can catalyze deeper mathematical conceptualizations of signed quantities in the introductory courses and beyond.

AB - Mathematical reasoning skills are a desired outcome of many introductory physics courses, particularly calculus-based physics courses. Novices can struggle to understand the many roles signed numbers play in physics contexts, and recent evidence shows that unresolved struggle can carry over to subsequent physics courses. Positive and negative quantities are ubiquitous in physics, and the sign carries important and varied meanings. The mathematics education research literature documents the cognitive challenge of conceptualizing negative numbers as mathematical objects-both for experts, historically, and for novices as they learn. We contribute to the small but growing body of research in physics contexts that examines student reasoning about signed quantities and reasoning about the use and interpretation of signs in mathematical models. In this paper we present a framework for categorizing various meanings and interpretations of the negative sign in physics contexts, inspired by established work in algebraic contexts from the mathematics education research community. Such a framework can support innovation that can catalyze deeper mathematical conceptualizations of signed quantities in the introductory courses and beyond.

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U2 - 10.1103/PHYSREVPHYSEDUCRES.16.010120

DO - 10.1103/PHYSREVPHYSEDUCRES.16.010120

M3 - Article

AN - SCOPUS:85095363667

SN - 2469-9896

VL - 16

JO - Physical Review Physics Education Research

JF - Physical Review Physics Education Research

IS - 1

M1 - 010120

ER -