Abstract
In this work we present a twofold educational approach to the reflective properties of surfaces, starting from the historical context of Archimedes “burning mirrors”. The properties of the emerging surface known as “caustic” of a given smoothly shaped mirror are illustrated by an interactive multimedia. An experimental device is also proposed to visualize the geometrical principles underlying the formation of caustics. The proposed didactical trail is intended also to contextualize the figure and work of Archimedes in a perspective tightly linked to modern technology, so to collect young learners’ interest.
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REFERENCES
Bonanno A., Camarca M., Sapia P. and Serpe A.: La realtà fisica e la sua rappresentazione:un percorso integrato tra fisica, matematica ed informatica attraverso una cardioide, Andronico A., Aymerich F.M. et al. (eds), DIDAMATICA 2006, Cagliari, 11-13maggio 2006, pp. 126-137.
Bosio S., Capocchiani V., Mazzadi M. C., Michelini M., Pugliese S., Sartori C., Scillia M.L. and Stefanel A.: “Playing, experimenting, thinking: exploring informal learning within an exhibit of simple experiments”, in New Ways of Teaching Physics, edited by Oblac S. et al. (ICPE_GIREP Book, Ljubjiana) 1997.
Cavalieri B.: Lo specchio ustorio, Ferroni, Bologna, 1632 (Moderrn edition by Giunti,Florence, 2001).
Hajnal J.V., Templer R.H. and Upstill C.: A ripple tank for studying optical caustics anddiffraction, Eur. J. Phys, Vol. 5, 1984, pp. 81-87.
Jodl H.-J. and Eckert B.: Low-cost high-tech experiments for educational physics, Phys.Educ., Vol. 33, 1998, pp. 226-235.
Lock J.A. and Andrews J.H.: Optical caustics in natural phenomena, Am. J. Phys, Vol. 60,1992, pp. 397-407.
Lockwood E.H.: A book of Curves, Cambridge University Press, England, 1978, pp. 34-43.MacTutor History of Mathematics Archive. “Nefroid.” http://www-groups.dcs.stand.ac.uk/~history/Curves/Nefroid.html.
Michelini M.: “The Learning Challenge: A Bridge Between Everyday Experience AndScientific Knowledge” in Informal Learning and Public Understanding of Physics,edited by Planinsic G. AND Mohoric A. (GIREP, Ljubijana) 2006.
Pedoe D., Circles: A Mathematical View, rev. ed Washington, DC: Math, Assoc. Amer.,pp. xxvi-xxvii, 1995.
Weisstein E.W., “Circle Catacaustic.” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/CircleCatacaustic.html, retrieved on November 14 2009.
Wells D., The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, 1991, p. 158.
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Bonanno, A., Camarca, M., Sapia, P., Serpe, A. (2010). Archimedes and Caustics: A Twofold Multimedia and Experimental Approach. In: Paipetis, S., Ceccarelli, M. (eds) The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering. History of Mechanism and Machine Science, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9091-1_4
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DOI: https://doi.org/10.1007/978-90-481-9091-1_4
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