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International Journal of Mathematical Education in Science and Technology Volume 44, 2013 - Issue 6: Special Section on Quantitative Skills in Science
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Classroom Notes

The use of graphs in specific situations of the initial conditions of linear differential equations

Gabriela BuendíaCICATA-IPN, Mexico City, MexicoCorrespondence[email protected]
&
Francisco CorderoCINVESTAV del IPN, Mexico City, Mexico
Pages 927-937 | Received 28 May 2012, Accepted 22 Feb 2013, Published online: 10 May 2013

References

  • Cantoral R, Farfán RM, Lezama J, Martínez-Sierra G. Socioepistemología y representación: algunos ejemplos. RELIME. 2006;4:83–102.
  • Cordero F, Mena J, Montalto ME. Il ruolo della giustificaziones funzionale in una situazione di risignificazione dell asintoto. IMSI. 2010;33B:1123–7570.
  • Buendía G. The use of periodicity through history: elements for a social epistemology of mathematical knowledge. In: Barbin E, Kronfellner M, Tzanakis C, editors. Proceedings of the 6th European Summer University – History and Epistemology in Mathematics Education. Austria; Verlag Holzhausen GmbH/Holzhausen; 2011. p. 67–78:
  • Stephan M, Rasmussen C. Classroom mathematical practices in differential equations. J Math Behav. 2002;21:459–490.
  • Blanchard P, Devaney R, Hall G. Differential equations. Pacific Grove, CA: Brooks/Cole; 1998.
  • Doorman L, Greveijer K. Emergent modeling: discrete graphs to support the understanding of change and velocity. ZDM Math Educ. 2009;41:199–211.
  • Even R. Factors involved in linking representations of functions. J Math Behav. 1998;17:105–121.
  • Cantoral R, Farfán R. Mathematics education: a vision of its evolution. Educ Stud Math. 2003;53:255–270.
  • Buendía G, Cordero F. Prediction and the periodical aspect as generators of knowledge in a social practice framework. Educ Stud Math. 2005;58:299–333.
  • Lim K, Buendía G, Kim O, Cordero F, Kasmer L. The role of prediction in the learning and teaching of mathematics. Int J Math Educ Sci Technol. 2010;41:595–608.
  • Cordero F. Taking a differential element: its formation and meaning in the didactic discourse of calculus. Int J Math Educ Sci Technol. 1991;22:869–872.
  • Cordero F. La distinción entre construcciones del cálculo. Una epistemología a través de la actividad humana. RELIME. 2001;4:103–128.
  • Cordero F, Cen C, Suárez L. Los funcionamientos y formas de las gráficas en los libros de texto: una práctica institucional en el Bachillerato. RELIME. 2010;13:187–214.
  • Zill D. A first course in differential equations with applications. Boston, MA: PWS; 1986.

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