Dr Carlos Ponce Campuzano
Associate Lecturer & Casual SMP Learning Designer & Casual Tutor & Casual SMP Learning Designer
School of Mathematics and Physics
Associate Lecturer
Mathematics
Building 69, Room 706
Researcher biography
I am a mathematician working on the design and integration of online learning modules and interactive mathematical applets for the School of Mathematics and Physics.
Books
Maldonado Aguilar, Miguel Ángel and Ponce Campuzano, Juan Carlos (2021). Invitación a la Topología General. Brisbane, QLD, Australia: Miguel Ángel Maldonado Aguilar and Juan Carlos Ponce Campuzano.
Ponce Campuzano, Juan Carlos (2019). Complex analysis: a visual and interactive introduction. Australia: Juan Carlos Ponce Campuzano.
Ponce Campuzano, Juan Carlos (2018). ABC of Mathematics: an interactive experience. Brisbane, Australia: Australian eBook Publisher.
Journal Articles
Ponce Campuzano, Juan Carlos (2023). Tracing closed curves with epicycles: a fun application of the Discrete Fourier Transform. North American GeoGebra Journal, 1 (11) 1, 1-14.
Ponce Campuzano, Juan Carlos (2022). Trigonometric interpolation using the Discrete Fourier Transform. North American GeoGebra Journal, 10 (1), 1-13.
Ponce Campuzano, Juan Carlos (2021). On coloring different objects of the same class. North American GeoGebra Journal, 9 (1) 6, 31-35.
Ponce Campuzano, Juan Carlos (2021). Domain colouring for visualising and exploring the beauty of complex functions. Australian Mathematical Society. Gazette, 48 (4), 162-170.
Ponce Campuzano, Juan Carlos (2020) El uso de p5.js para aprender a programar: figuras y transformaciones. Suma: Revista sobre Enseñanza y Aprendizaje de las Matemáticas, 94 83-96.
Ponce Campuzano, Juan Carlos (2020). Una introducción al método de dominio colorado con GeoGebra para la visualización y estudio de funciones complejas. Revista do Instituto GeoGebra Internacional de São Paulo, 9 (1), 101-119. doi: 10.23925/2237-9657.2020.v9i1p101-119
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: 10.1080/0020739x.2019.1656829
Ponce Campuzano, Juan Carlos (2019). Conics as envelopes of families of plane curves. College Mathematics Journal, 50 (2), 115-122. doi: 10.1080/07468342.2019.1560207
Ponce Campuzano, J. C., Roberts, A. P., Matthews, K. E., Wegener, M. J., Kenny, E. P. and McIntyre, T. J. (2018). Dynamic visualization of line integrals of vector fields: a didactic proposal. International Journal of Mathematical Education in Science and Technology, 50 (6), 1-16. doi: 10.1080/0020739x.2018.1510554
Gordillo, Wilson, Pino-Fan, Luis R., Font, Vicenc and Ponce-Campuzano, Juan Carlos (2018). Algunas tareaspara evaluar la comprensión sobre el objeto matemático antiderivada. Academia Y Virtualidad, 11 (2).
Ponce Campuzano, Juan Carlos, Matthews, Kelly E. and Adams, Peter (2017). 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: 10.1080/0020739X.2017.1377301
Ponce-Campuzano, Juan Carlos and Maldonado-Aguilar, Miguel Ángel (2015). Vito Volterra's construction of a nonconstant function with a bounded, non-Riemann integrable derivative. BSHM Bulletin, 30 (2), 143-152. doi: 10.1080/17498430.2015.1010771
Ponce-Campuzano, Juan Carlos (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), 996-1006. doi: 10.1080/0020739x.2013.826386
Ponce-Campuzano, Juan Carlos and Maldonado-Aguilar, Miguel Ángel (2013). 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), 293-303. doi: 10.1080/0020739x.2013.822586
Rivera-Figueroa, Antonio and Ponce-Campuzano, Juan Carlos (2013). Derivative, maxima and minima in a graphical context. International Journal of Mathematical Education in Science and Technology, 44 (2), 284-299. doi: 10.1080/0020739x.2012.690896
Ponce-Campuzano, Juan Carlos and Rivera-Figueroa, Antonio (2011). A discussion on the substitution method for trigonometric rational functions. Mathematics and Computer Education, 45 (1) 6, 44-51.
Conference Papers
Ponce Campuzano, Juan Carlos (2021). Open-source online tools to visualise and explore complex functions with domain colouring. 13th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics, Auckland, New Zealand (Virtual), 22-25 November 2021. Auckland, New Zealand:
Hillock, Poh Wah and Ponce Campuzano, Juan Carlos (2021). Course redesign for flexible delivery and increased engagement. Herenga Delta Conference 2021 , Online, 22-25 November 2021.
Wegener, Margaret J., Kenny, Elise , Ponce Campuzano, Juan , Roberts, Anthony P., Matthews, Kelly and McIntyre, Timothy J. (2017). Using interactive simulations to enhance student engagement in mathematics and physics. Australian Conference on Science and Mathematics Education, Melbourne, Australia, 27-28 September 2017.
McIntyre, T. J., Wegener, M. J., Roberts, A. P., Kenny, E. P., Ponce Campuzano, J. C. and Matthews, K. (2016). Active learning using interactive simulations. Joint Asia Pacific Physics Conference and Australian Institute of Physics Conference, Brisbane, Australia, 4-8 December 2016.
McIntyre, Timothy J., Roberts, Anthony P., Wegener, Margaret J., Juan Ponce Campuzano, Elise Kenny and Matthews, Kelly (2016). Dynamic, interactive simulations for enhancing student learning. Australian Conference on Science and Mathematics Education, Brisbane, QLD, Australia, 28-29 September 2016.
Creative Work
Rice, John, Matthews, Kelly and Ponce Campuzano, Juan (2017). A geometrical approach to the concepts of speed and acceleration. Brisbane, QLD, Australia: Self-published.