
06460750
j
2015d.00921
Kneubil, Fabiana B.
Robilotta, Manoel R.
Physics teaching: mathematics as an epistemological tool.
Sci. Educ. (Dordrecht) 24, No. 56, 645660 (2015).
2015
Springer Netherlands, Dordrecht
EN
M50
D20
modeling
mathematics and physics
epistemology
mathematical structures
electric field
doi:10.1007/s1119101497275
Summary: We study the interconnection between physics and mathematics in concrete instances, departing from the usual expression for the Coulomb electric field, produced by a pointlike charge. It is scrutinized by means of six epistemologyintensive questions and radical answers are proposed, intended to widen one's understanding of the subject. Our interventions act along two complementary directions. One of them regards ontology, since questions induce one to look closely at the electric charge, from different perspectives, promoting reflections about its nature and reinforcing the corresponding concept. Formal manipulations rely on the identification of concepts with symbols, and the other direction concerns the spatial extension of mathematical structures. Our questions and their somewhat unusual answers help disclosing information which is not present in many textbooks, and show that mathematics can be used as an efficient epistemological tool in physics teaching.