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Mathematics in Action from Lisbon: Engagement with the Popularization and Communication of Mathematics

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Raising Public Awareness of Mathematics

Abstract

Although not a new subject, the Popularization of Mathematics, viewed as an activity of “sharing mathematics with a wider public” and “encouraging people to be more active mathematically”, is a relatively recent topic that motivated the fifth international study (Howson and Kahane in The Popularization of Mathematics, Cambridge Univ. Press, Cambridge, 1990) of the International Commission on Mathematical Instruction and had seen important developments after the World Mathematical Year—WMY2000.

In this article we describe the engagement with the popularization and communication of mathematics that is being developed at the University of Lisbon, within the historical environment provided by its Museum of Science, which has a rich heritage. There are a significant number of initiatives open to society, from the educational community to the general public, and there has been a special collaboration with the Portuguese Mathematical Society since its foundation. Enhanced by the challenge of the WMY2000 and the project Matemática em Acção, developed by the Centro de Matemática e Aplicações Fundamentais, we describe several activities such as exhibitions, films, interactive applications and publications, that range from ruled surfaces, sundials and architecture to mathematical games, taking into account mathematics as an educational resource and exploring the multimedia and computational tools for communicating mathematics.

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Notes

  1. 1.

    The historic building of the Museum also hosted the first editorial office of Portugaliae Mathematica, the Portuguese mathematics research journal founded in 1937, the Centro de Estudos Matemáticos de Lisboa and also the first editorial office of the Gazeta de Matemática, both dating from 1940.

  2. 2.

    These proceedings also include an article on the Beijing astronomical observatory, which has more than 550 years of history and possesses unique bronze mathematical instruments of the Ming dynasty (17th century), which have recently been restored and constitute an open air museum.

  3. 3.

    The Portuguese component of the Diderot Mathematical Forum was organized by CMAF and was partially held at the University of Lisbon in co-ordination with the XII National Seminar on the History of Mathematics organized by SPM.

  4. 4.

    To support these activities, in addition to traditional mathematical puzzles, new materials have been produced as, for instance, an original puzzle with polyhedra and numbers exploring permutation groups invented by Jorge Rezende [41].

  5. 5.

    This work was carried out in partnership with the S. João de Brito School and was presented in the 4th Forum Ciência Viva, held in Lisbon in May 2000 http://wwmat.mat.fc.ul.pt/em_accao/superficies_regradas/.

  6. 6.

    This initiative was developed as a collaboration between the high school António Arroio and the Department of Mathematics, Faculty of Science of the University of Lisbon.

  7. 7.

    This interactive book is in development through a partnership between the project Matemática em Acção, the Department of Mathematics, Faculty of Science of the University of Lisbon and a Basic School (EB2,3 Piscinas, Lisbon).

References

  1. Howson, A.G., Kahane, J.-P. (eds.): The Popularization of Mathematics. Cambridge Univ. Press, Cambridge (1990). ICMI Study #5

    MATH  Google Scholar 

  2. Bragança Gil, F.: Museu de Ciência da Universidade de Lisboa: Das Origens Ao Pleno Reconhecimento. MCUL, Lisboa (2003)

    Google Scholar 

  3. Rivotti Silva, V.: L’Observatoire Astronomique. In: Museums of Science and Technology, pp. 125–130. Fundação Oriente, Lisboa (1998)

    Google Scholar 

  4. Lourenço, M.C., Eiró, A.M.: O Museu de Ciência. In: Lourenço, M.C., Neto, M.J. (eds.) Património da Universidade de Lisboa – Ciência e Arte, pp. 35–54. Tinta da China, Lisboa (2011)

    Google Scholar 

  5. José Anastácio da Cunha (1744–1787), Matemático e Poeta, Catalogue of the exhibition. Biblioteca Nacional, Lisboa (1987)

    Google Scholar 

  6. Movimento Matemático 1937–1947, Catalogue of the exhibition commissioned by Ilda Perez. Câmara Municipal de Lisboa (1997)

    Google Scholar 

  7. Alzira Ferreira, M., Rodrigues, J.F. (eds.): Museums of Science and Technology. Fundação Oriente, Lisboa (1998)

    Google Scholar 

  8. Beutelspacher, A.: Towards a mathematics museum. In: Museums of Science and Technology, pp. 155–163. Fundação Oriente, Lisboa (1998)

    Google Scholar 

  9. Arala Chaves, M.: Expositions interactives de mathématiques. In: Museums of Science and Technology, pp. 165–188. Fundação Oriente, Lisboa (1998)

    Google Scholar 

  10. A matemática e a música, Colóquio/Ciências, Revista de Cultura Científica, n°24, November 1999, Fundação Calouste Gulbenkian, Lisboa

    Google Scholar 

  11. Assayag, G., Feichtinger, H.D., Rodrigues, J.F. (eds.): Mathematics and Music, a Diderot Mathematical Forum. Springer, Berlin (2002)

    MATH  Google Scholar 

  12. Rezende, J., Monteiro, L., Amaral, E.: António Aniceto Monteiro, Uma Fotobiografia a Várias Vozes. Sociedade Portuguesa de Matemática, Lisboa (2007)

    Google Scholar 

  13. Silva, J.N. (ed.): Proceedings of the Board Game Studies Colloquium XI. Associação Ludus, Lisbon (2009)

    Google Scholar 

  14. Carvalho, A., Santos, C., Neto, J., Silva, J.N.: Jogos matemáticos, a Portuguese project. In: Silva, J.N. (ed.) Proceedings of the Board Game Studies Colloquium XI, pp. 19–25. Associação Ludus, Lisbon (2009)

    Google Scholar 

  15. Saraiva, L.: History of Astronomy in Portugal: Institutions, Theories, Practices, pp. 32–34, CIM Bulletin n°27, Jan. 2010

    Google Scholar 

  16. Medir os Céus para dominar a Terra, catalogue of the exhibition, Ed. Museu de Ciência da Universidade de Lisboa (2009)

    Google Scholar 

  17. Apostol, T.M.: Computer animated mathematics videotapes. In: Borwein, J., Morales, M.H., Polthier, K., Rodrigues, J.F. (eds.) Multimedia Tools for Communicating Mathematics, pp. 1–27. Springer, Berlin (2002)

    Chapter  Google Scholar 

  18. Banchoff, T.F., Cervone, D.P.: A virtual reconstruction of a virtual exhibit. In: Catalogue of the Exhibition on Sundials Co-ordinated by Suzana Nápoles et al., pp. 29–38. CMAF/Universidade de Lisboa (2002)

    Google Scholar 

  19. Banchoff, T.F.: Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions. Scientific American Library/Freeman, New York (1990)

    MATH  Google Scholar 

  20. Para Além da Terceira Dimensão—Beyond the Third Dimension Catalogue of the exhibition by CMAF/Universidade de Lisboa (2000)

    Google Scholar 

  21. Rodrigues, J.F.: Um Museu Virtual de matemática – um desafio real para o ano 2000! Boletim da SPM, n°34, Maio 1996, pp. 77–79

    Google Scholar 

  22. Borwein, J., Morales, M.H., Polthier, K., Rodrigues, J.F. (eds.): Multimedia Tools for Communicating Mathematics. Springer, Berlin (2002)

    MATH  Google Scholar 

  23. “As Sombras do Tempo – The Shadows of Time”, Catalogue of the exhibition on Sundials co-ordinated by Suzana Nápoles et al. CMAF/Universidade de Lisboa (2002)

    Google Scholar 

  24. “Pedras que Jogam”, Catalogue of the exhibition commissioned by Adelaide Carreira et al., DM/Faculdade de Ciências/Universidade de Lisboa (2004)

    Google Scholar 

  25. Rodrigues, J.F., Williams, K. (eds.): NEXUS IV Architecture and Mathematics. KWBooks, Fucecchio (2002)

    MATH  Google Scholar 

  26. Crato, N., Nápoles, S., Oliveira, F.C.: Relógios de Sol. CTT/Correios de Portugal, Lisboa (2007)

    Google Scholar 

  27. Silva, J.N.: On mathematical games. BSHM Bulletin, Journal of the British Society for the History of Mathematics 26(2), 80–104 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  28. Cláudio, A.P., et al.: Implementing L’OZ. In: Silva, J.N. (ed.) Proceedings of the Recreational Mathematics Colloquium I, pp. 51–58. Associação Ludus, Lisboa (2010)

    Google Scholar 

  29. Duarte, P.: Solution to a solitaire game. In: Silva, J.N. (ed.) Proceedings of the Recreational Mathematics Colloquium I, pp. 161–171. Associação Ludus, Lisboa (2010)

    Google Scholar 

  30. Moyer, A.E.: The Philosophers’ Game: Rithmomachia in Medieval and Renaissance Europe. The University of Michigan Press, Ann Arbor (2001)

    Google Scholar 

  31. Browne, C.: Hex Strategy: Making the Right Connections. AK Peters, Wellesley (2000)

    MATH  Google Scholar 

  32. Gale, D.: The game of hex and the Brouwer fixed-point theorem. American Mathematical Monthly 86(10), 818–827 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  33. Kortenkamp, U.H., Richter-Gebert, J.: A dynamic setup for elementary geometry. In: Medir os Céus para dominar a Terra, catalogue of the exhibition. Ed. Museu de Ciência da Universidade de Lisboa, pp. 203–219 (2009)

    Google Scholar 

  34. Kortenkamp, U.H., Richter-Gebert, J.: Cinderella: Livro Interactivo de Geometria (Versão 1.2; Trad. J.N. Silva), CMAF/Universidade de Lisboa (2001)

    Google Scholar 

  35. Chambel, T., Guimarães, N.: Communicating and learning mathematic with hypervideo. In: Medir os Céus para dominar a Terra, catalogue of the exhibition. Ed. Museu de Ciência da Universidade de Lisboa, pp. 79–91 (2009)

    Google Scholar 

  36. Apostol, T.M.: The Story of Pi. Project MATHEMATICS, Caltech (1989)

    Google Scholar 

  37. Apostol, T.M., Chambel, T., Nápoles, S., Rodrigues, J.F., Santos, L.: A História do Pi em hipervideo, CD-ROM Interactivo, Textos Editores, Lisboa (2007)

    Google Scholar 

  38. Sousa, S.: Contribuição Para um Hipervídeo na Trigonometria. Master thesis in educational mathematics (directed by J.F. Rodrigues), Universidade da Madeira, Funchal (2002)

    Google Scholar 

  39. Oliveira, M.C., Nápoles, S.: Using a Spreadsheet to Study the Oscillatory Movement of a Mass-Spring System, Spreadsheets in Education (eJSiE), Bond University, Australia (2010)

    Google Scholar 

  40. Oliveira, M.C., Nápoles, S.: Sundial’s Mathematics and Astronomy with a Spreadsheet, ICERI 2010, International Conference of Education, Research and Innovation, Madrid, 15–17 Nov. 2010

    Google Scholar 

  41. Rezende, J.: Puzzles with polyhedra and numbers. In: Silva, J.N. (ed.) Proceedings of the Board Game Studies Colloquium XI, pp. 105–133. Associação Ludus, Lisbon, (2009)

    Google Scholar 

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Correspondence to Ana Maria Eiró .

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Eiró, A.M., Nápoles, S., Rodrigues, J.F., Silva, J.N. (2012). Mathematics in Action from Lisbon: Engagement with the Popularization and Communication of Mathematics. In: Behrends, E., Crato, N., Rodrigues, J. (eds) Raising Public Awareness of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25710-0_11

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