Didactical situations to treat Lorentz and Galileo transformations in theoretical physics


  • S. A. de Souza Farias Institute of Educational Sciences, Federal University of Western Par´a
  • Damiao Pedro Meira Filho Federal Institute of Education, Science and Technology of Pará, Campus Santarém https://orcid.org/0000-0003-0421-1094
  • J. K. Santos Kamassury Federal University of Santa Catarina




Electrodynamics, Special Theory of Relativity, Galileo and Lorentz transformations, didactic situations


Notions of Electromagnetism and Special Theory of Relativity (STR) require important mathematical knowledge applied to theoretical physics. Recognizing pedagogical difficulties in the teaching of theoretical physics, the Theory of Didactical Situations (TDS), which consists of a set of practices that aim to contribute to the improvement of mathematics teaching. In this context, the present work is motivated to present a set of practices based on TDS with a focus on teaching Electromagnetism and STR, where problems that require an understanding of the transformations of Galileo and Lorentz. Specifically, the didactic situation is constructed by means of four problem proposals, while in the adidatic situation, the student is invited to understand the roles of these transformations in the study of these problems. Ultimately, the relevance of the educator in the institutionalization situation is reinforced, a moment when it must be clarified how all mathematical relations are strongly related to physical principles.

Author Biography

Damiao Pedro Meira Filho, Federal Institute of Education, Science and Technology of Pará, Campus Santarém

Department of education, research and extension


J. M. F. Bassalo, Nascimentos da F´ısica (3500 a.C.-1900 a.D.) (Editora da Universidade Federal do Par´a, Bel´em, 1996).

J. C. Maxwell, A Treatise on Eletricity and Magnetism (Clarendon Press, Oxford, 1873).

H. A. Lorentz, Electromagnetic phenomena in a system moving with any velocity smaller than that of light, Proc. Acad.

Sciences Amsterdam 6 (1904) 809.

A. Einstein, U¨ ber die von der molekularkinetischen Theorie der W¨arme geforderte Bewegung von in ruhenden Fl¨ussigkeiten

suspendierten Teilchen, Ann. Phys. 322 (1905) 549. https://doi.org/10.1002/andp.19053220806.

H. G. Hertz and M. G. Doncel, Heinrich Hertz’s laboratory notes of 1887, Arch. Hist. Exact Sci. 49 (1995) 197, https://doi.org/10.1007/BF00376092.

G. Brousseau, Fondements et m´ethodes de la didactique des math´ematiques, Rech. Didact. Math. 7 (1986) 33,


P. J. Magalh˜a es Teixeira and C. C. Manso Passos, Umpouco da Teoria das es Did´aticas (TSD) de Guy Brousseau, Zetetike 21 (2014) 155, https://doi.org/10.20396/zet.v21i39.8646602.

R. Resnick, Introduc¸ ˜ao a Relatividade Especial (Editora Pol´ıgono, S˜ao Paulo, 1971).

A. Gaspar, F´ısica: Eletromagnetismo e F´ısica Moderna (Editora A´ tica, Sa˜o Paulo, 2002), v. 3.

D. J. Griffiths, Introduction to Electrodynamics (Cambridge University Press, 2017), 4th ed.

J. R. Reitz, F. J. Milford e R. W. Christy, Foundations of Electromagnetic Theory (Addison-Wesley, 2008), 4th ed.

C. Kittel, W. D. Knight e M. A. Ruderman, Curso de F´ısica de Berkeley: Mec´anica (Edgard Blucher, S˜ao Paulo, 1973). Vol. 1.

R. de A. Martins, Sobre o artigo A din´amica relativ´ıstica antes de Einstein, Rev. Bras. Ens. Fis. 27 (2005) 313, https://doi.org/10.1590/S1806-11172005000300002.

H. M. Nusseszveig, Curso de F´ısica Ba´sica: O´ tica, Relatividade e F´ısica Qu´antica (Edgard Bl¨ucher, S˜ao Paulo, 1998), 1 ed.

R. de A. Martins, O ´eter e a ´optica dos corpos em movimento: a teoria de Fresnel e as tentativas de detecc¸ ˜a o do movimento

da terra, antes dos experimentos de Michelson e Morley (1818-1880), Cad. Bras. Ens. Fis. 29 (2012) 52, https://doi.org/10.5007/2175-7941.2012v29n1p52.

H. M. Nusseszveig, Curso de F´ısica B´asica: Mecˆanica B´asica (Edgard Bl¨ucher, S ao Paulo, 2002), 4 ed.

M. I. Nobre Ota, Eletromagnetismo e Relatividade: Continuidade formal-ruptura conceitual, Rev. Bras. Hist. Mat. 5 (2005) 27, https://doi.org/10.47976/RBHM2005v5n1027-42.

P. R. Ferreira Fragata, T´opicos da Teoria da Relatividade. Dissertac¸ ˜ao de Mestrado, Universidade de Ac¸ores, (2013).

P. A. Tipler e G. Mosca, F´ısica para Cientistas e Engenheiros -Eletricidade, Magnetismo e O´ tica (LTC, Rio de Janeiro, 2011), 6 ed.

Centro de Referˆencia para o Ensino de F´ısica, Eletromagnetismo e relatividade no livro do Gaspar, available in htts://www.if.ufrgs.br/novocref/?contact-pergunta=eletroma gnetismo-e-relatividade-nolivro-do-gaspar.

M. Le Bellac and J. M. L´evy-Leblond, Galilean electromagnetism, Nuovo Cimento B 14 (1973) 217, https://doi.org/10.1007/BF02895715.

A. A. Michelson and E. W. Morley, Am. J. Sci. 34 (1887) 333.

R. Feynman, The Feynman Lectures on Physics, (Basic Books, New York, 2010), v. 1.

M. C. Baldiotti, F´ısica Moderna I - Parte A: a Teoria da Relatividade, available in htt://www.uel.br/pessoal/baldiotti/2FIS026A.pdf.

J. Nat´ario, O GPS e a Teoria da Relatividade, available in htts://www.math.tecnico.ulisboa.pt/»jnatar/lectures/GPS.pdf.

C. Batista, Energia Nuclear, htts://www.todamateria.com.br/energia-nuclear/.

S. Vieira, A. Barros, I. Ara´ujo e J. C. T. Oliveira, Uma comparac¸ ˜ao entre deduc¸oes da ecuac¸ ˜ao E = mc2, Rev. Bras. Ens. Fis. 26 (2004) 93, https://doi.org/10.1590/S1806-11172004000200003.