Keyhole: Equal signs as bridges between the phenomenological and theoretical dimensions

TY - JOUR

T1 - Keyhole: Equal signs as bridges between the phenomenological and theoretical dimensions

AU - Kneubil, Fabiana

AU - Avelar Sotomaior Karam, Ricardo

PY - 2017

Y1 - 2017

N2 - Physics is a peculiar way to reason about the world that often makes the invisible visible. If one aims at understanding what physics is about, recognise how experimental measurements and mathematical reasoning are intertwined is essential. In this work we exemplify such entanglement by analysing three case studies. In the first one, the explanation of the Hall effect underlines how we indirectly penetrate into the microscopic structure of a wire and manage to evaluate the number of charged particles per unit volume inside it from a set of macroscopic measurements. The second case shows how our reasoning allows us to determine the radius of a hydrogen atom from the experimental measure of the atom's binding energy. The third example comes from kinetic gas theory and illustrates how it is possible to estimate the number of gas particles per unit volume from the experimental values of pressure and temperature. These three case studies show that the equal sign of certain equations can be seen as a bridge (keyhole) connecting the empirical and theoretical dimensions. We argue that epistemological reflections should be an essential part of science education if we aim at delivering an authentic picture of the nature of physics.

AB - Physics is a peculiar way to reason about the world that often makes the invisible visible. If one aims at understanding what physics is about, recognise how experimental measurements and mathematical reasoning are intertwined is essential. In this work we exemplify such entanglement by analysing three case studies. In the first one, the explanation of the Hall effect underlines how we indirectly penetrate into the microscopic structure of a wire and manage to evaluate the number of charged particles per unit volume inside it from a set of macroscopic measurements. The second case shows how our reasoning allows us to determine the radius of a hydrogen atom from the experimental measure of the atom's binding energy. The third example comes from kinetic gas theory and illustrates how it is possible to estimate the number of gas particles per unit volume from the experimental values of pressure and temperature. These three case studies show that the equal sign of certain equations can be seen as a bridge (keyhole) connecting the empirical and theoretical dimensions. We argue that epistemological reflections should be an essential part of science education if we aim at delivering an authentic picture of the nature of physics.

U2 - 10.1590/1806-9126-RBEF-2016-0216

DO - 10.1590/1806-9126-RBEF-2016-0216

M3 - Journal article

SN - 1806-1117

VL - 39

SP - 1

EP - 11

JO - Revista Brasileira de Ensino de Fisica

JF - Revista Brasileira de Ensino de Fisica

IS - 2

M1 - e2302

ER -