Research


Journals
  1. Ponce Campuzano, J. C. (Accepted). Conics as envelopes of families of straight lines. College of Mathematics Journal.
  2. Ponce Campuzano, J. C., Roberts, A. P., Matthews, K., Wegener, M. J., Kenny, E. P., & McIntyre, T. J. (2018). Dynamic visualisation of line integrals of vector fields: a didactic proposal. International Journal of Mathematical Education in Science and Technology. doi.org/10.1080/0020739X.2018.1510554
  3. Gordillo-Thiriat, W., Pino-Fan, L., Font, V. & Ponce Campuzano, J. C. (2018). Some tasks to evaluate the understanding of the mathematical object antiderivative (Algunas tareas para evaluar la comprensión sobre el objeto matemático antiderivada). Revista Academia & Virtualidad 11(2): pxx-xx. revistas.unimilitar.edu.co
  4. Ponce Campuzano, J. C. & Matthews, K., Adams, P. (2018). On the use of history of mathematics: an introduction to Galileo’s study of free fall motion. International Journal of Mathematical Education in Science and Technology. 49: 4, 517-529. doi.org/10.1080/0020739X.2017.1377301
  5. Ponce Campuzano, J. C. & Maldonado-Aguilar. M. A. (2015). Vito Volterra’s construction of a nonconstant function with a bounded, non-Riemann integrable derivative. BSHM Bulletin: Journal of the British Society for the History of Mathematics. 30: 2, pp. 143-152. doi.org/10.1080/17498430.2015.1010771
  6. Ponce Campuzano, J. C. & Maldonado-Aguilar. M. A. (2014). The fundamental theorem of calculus within a geometric context based on Barrow’s work. International Journal of Mathematical Education in Science and Technology. 45: 2, pp. 293-303. doi.org/10.1080/0020739X.2013.822586
  7. Ponce Campuzano, J. C. (2013) Developing prospective mathematics teachers in Mexico: A lesson on the relationship between integration and differentiation. International Journal of Mathematical Education in Science and Technology. 44: 7, pp. 996-1006. doi.org/10.1080/0020739X.2013.826386
  8. Ponce Campuzano, J. C. (2013) Sulle funzioni derivate e le condizioni di esistenza di primitive. [On the derivative functions and the conditions of existence for primitives]. L’insegnamento della matematica e delle scienze integrate. Vol. 36, No. 2-B, pp. 167-180. www.centromorin.it
  9. Ponce Campuzano, J. C. (2013). Isaac Barrow y su versión geométrica del Teorema Fundamental del Cálculo. [Isaac Barrow and his geometric version of the fundamental theorem of calculus]. Números Didáctica de las matemáticas. Vol. 83. pp. 123-130. www.sinewton.org
  10. Rivera-Figueroa, A. & Ponce Campuzano, J. C. (2013). Derivative, maxima and minima in a graphical context. International Journal of Mathematical Education in Science and Technology. Vol. 44, 2, pp. 284-299. doi.org/10.1080/0020739X.2012.690896
  11. Ponce Campuzano, J. C. & Rivera Figueroa, A. (2011). Un análisis del uso de la tecnología para el cálculo de primitivas. [An analysis of the use of technology for calculating primitives]. Números Didáctica de las matemáticas. Vol. 77. 2:B, pp. 85-98. www.sinewton.org
  12. Ponce Campuzano, J. C. & Rivera-Figueroa, A. (2011). A discussion on the substitution method for trigonometric rational functions. Mathematics and Computer Education. Vol. 45 (1). pp. 44-51. researchgate.net/profile/Juan_Ponce_Campuzano
  13. Ponce Campuzano, J. C. & Rivera-Figueroa, A. (2011). Unexpected results using computer algebraic systems for computing antiderivatives. Far East Journal of Mathematics Education. Vol. 5 Number 1. pp. 57-80. www.pphmj.com/journals/articles/801.htm
  14. Ponce Campuzano, J. C. & Rivera, A. (2009). Casos en los que no es aplicable la fórmula $\int_a^b f (x)dx = F(b) -F(a)$ [Cases where we can not apply the formula $\int_a^b f (x)dx = F(b) - F(a)$]. Miscelánea Matemática, 48 pp. 59-74. www.miscelaneamatematica.org
Proceedings
  1. Wegener, M.J., Kenny, E., Ponce Campuzano, J. C., Roberts, A.P., Matthews, K. & McIntyre, T.J. (2017). Using interactive simulations to enhance student engagement in mathematics and physics. In Rowland, S. editor. Proceedings of the Australian Conference on Science and Mathematics Education, Melbourne, Australia. 28-29 September 2017. pp. 103-104.
  2. McIntyre, T. J., Wegener, M. J., Roberts, A. P., Kenny, E. P., Ponce Campuzano, J. C. & Matthews, K. (2016). Active learning using interactive simulations. Paper presented at: 13th Asia-Pacific Physics Conference in conjunction with the 22nd Australian Institute of Physics Congress, Brisbane, Australia. 4-9 December 2016.
  3. McIntyre, T. J., Roberts, A. P., Wegener, M. J., Ponce Campuzano, J. C., Kenny, E. P. & Matthews, K. (2016). Dynamic, interactive simulations for enhancing student learning. In Overton, T. & Yeung, A. editors: Australian Conference on Science and Mathematics Education, Brisbane, Australia. 28-29 September 2016. pp. 92-93.
  4. Ponce Campuzano, J. C. & Rivera-Figueroa, A. (2011). Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected. In J. Hannah & M. Thomas. (eds.) 8th Southern Right Delta Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. Rotorua, New Zealand. pp. 206-215.
  5. Ponce Campuzano, J. C. & Rivera-Figueroa, A. (2009). Reflections on the method for computing primitives: $u = \tan(x/2)$. In D. Wessels (Ed.) Proceedings of the 7th Southern Right Delta Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. Gordon’s Bay, South Africa. pp. 206-215.
  6. Figueras, O., Guerrero, C., Ponce Campuzano J. C., Real, R., Sánchez, M. & Flores, P. (2008). An Investigation of Classroom Practice within a Professional Development Study Programme. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano & A. Sepúlveda. (eds.). Proceedings of the Joint Meeting of PME 32 and PME-NA XXX. Vol. 1. Mexico: Cinvestav-UMSNH. p. 256.
  7. Ponce Campuzano J. C. (2006). La argumentación y enseñanza del Teorema Fundamental del Cálculo en Profesores de Matemáticas. [The argumentation and teaching of the Fundamental Theorem of Calculus in teachers of mathematics]. In C. Rita. (ed.) Acta Latinoamericana de Matemática Educativa. Vol. 20. pp. 79-83.