Articles



Journals
  1. Welch, B. G. & Ponce Campuzano, J. C. (2023). Applying matrix diagonalisation in the classroom with GeoGebra: parametrising the intersection of a sphere and plane International Journal of Mathematical Education in Science and Technology. Open-Access.
  2. Ponce Campuzano, J. C. (2023). The hidden beauty of complex numbers. Mathematics Teacher: Learning and Teaching PK-12: For the Love of Mathematics. NCTM. Vol. 116. (4) p. 308.
  3. Ponce Campuzano, J. C. (2023). Tracing closed curves with epicycles: A fun application of the Discrete Fourier Transform. North American GeoGebra Journal. Vol 11. No. 1. pp. 1-14.
  4. Ponce Campuzano, J. C. (2022). Trigonometric intepolation using the Discrete Fourier Transform. North American GeoGebra Journal. Vol. 10. No. 1. pp. 1-13.
  5. Ponce Campuzano, J. C. (2021). On coloring different objects of the same class. North American GeoGebra Journal. Vol. 9. No. 1. pp. 31-35.
  6. Ponce Campuzano, J. C. (2021). Domain colouring for visualising and exploring the beauty of complex functions. Australian Mathematical Society Gazette. Vol. 48, No. 4, pp. 162-170. 
  7. Ponce Campuzano, J. C. (2020). El uso de p5.js para aprender a programar: figuras y transformaciones. [The use of p5.js to learn programming: figures and transformations] SUMA: Revista sobre Enseñanza y Aprendizaje de las Matemáticas. 94,  p. 83-96.
  8. Ponce Campuzano, J. C. (2020). Una introducción al método de dominio colorado con GeoGebra para la visualización y estudio de funciones complejas. [An introduction to the method domain coloring with GeoGebra for visualizing and studying complex functions] Revista do Instituto GeoGebra de São Paulo. v. 9,  n. 1, p. 101-119. doi.org/10.23925/2237-9657.2020.v9i1p101-119
  9. Ponce Campuzano, J. C. (2019). The use of phase portraits to visualize and investigate isolated singular points of complex functions. International Journal of Mathematical Education in Science and Technology. 50:7. 999-1010. doi.org/10.1080/0020739X.2019.1656829 - Online slides
  10. Ponce Campuzano, J. C. (2019). Representación de funciones complejas con GeoGebra usando el método de dominio coloreado. [Representation of complex functions with GeoGebra using domain coloring.] Números Didáctica de las Matemáticas. Vol. 101. pp. 85-101. 
  11. Ponce Campuzano, J. C. (2019). Conics as envelopes of families of plane curves. The College of Mathematics Journal. 50-2, 115-122. doi.org/10.1080/07468342.2019.1560207
  12. Ponce Campuzano, J. C., Roberts, A. P., Matthews, K., Wegener, M. J., Kenny, E. P., & McIntyre, T. J. (2019). Dynamic visualisation of line integrals of vector fields: a didactic proposal. International Journal of Mathematical Education in Science and Technology.  50: 6, pp. 934-949. doi.org/10.1080/0020739X.2018.1510554
  13. 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): p. 1-17. https://doi.org/10.18359/ravi.2983
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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. 
  19. 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. 
  20. 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
  21. 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. 
  22. 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. 
  23. 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 No. 1. pp. 57-80. 
  24. Ponce Campuzano, J. C. & Rivera, A. (2009). Casos en los que no es aplicable la fórmula $\int_a^bF'(x)dx=F(b)-F(a).$ [Cases where we cannot apply the formula $\int_a^b F'(x)dx = F(b)-F(b)$] Miscelánea Matemática. 48. pp. 59-79.
    Proceedings
    1. Hillock, P. & Ponce Campuzano, J. C. (2021). Course redesign for flexible delivery and increased engagement in first year mathematics. Proceedings of the 13th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. Auckland, NZ. p. 65.
    2. Ponce Campuzano, J. C. (2021). Open-source online tools to visualise and explore complex functions with domain colouring. Proceedings of the 13th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. Auckland, NZ. p. 86.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.

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