Dr Carlos Ponce Campuzano
Lecturer
Mathematics
Casual Tutor
School of Mathematics and Physics
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
Welch, Bradley Graeme and Ponce Campuzano, Juan Carlos (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, ahead-of-print (ahead-of-print), 1-17. doi: 10.1080/0020739x.2023.2233513
Ponce Campuzano, Juan Carlos (2023). The hidden beauty of complex numbers. Mathematics Teacher, 116 (4) 11, 308-308. doi: 10.5951/mtlt.2021.0329
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). Representación de funciones complejas con GeoGebra usando el método de dominio coloreado. Números Didáctica de las Matemáticas, 101 7, 85-101.
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. (2019). Dynamic visualization of line integrals of vector fields: a didactic proposal. International Journal of Mathematical Education in Science and Technology, 50 (6), 934-949. 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 (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: 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 and Maldonado-Aguilar, Miguel Ángel (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), 293-303. doi: 10.1080/0020739x.2013.822586
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 (2013). Isaac Barrow y su versión geométrica del Teorema Fundamental del Cálculo. Números Didáctica de las matemáticas, 83 9, 123-130.
Ponce Campuzano, Juan Carlos (2013). Sulle funzioni derivate e le condizioni di esistenza di primitive. L’insegnamento della matematica e delle scienze integrate, 36 (2-B) 4, 167-180.
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.
Ponce Campuzano, Juan Carlos and Rivera Figueroa, Antonio (2011). Unexpected results using computer algebraic systems for computing antiderivatives. Far East Journal of Mathematics Education, 7 (1) 3, 57-80.
Ponce Campuzano, Juan Carlos and Rivera Figueroa, Antonio (2011). Un análisis del uso de la tecnología para el cálculo de primitivas. Números Didáctica de las matemáticas, 77 5, 85-98.
Ponce Campuzano, Juan Carlos and Rivera Figueroa, Antonio (2009). Casos en los que no es aplicable la fórmula int_a^b f(x) dx = F(b)-F(a). Miscelánea Matemática, 48 1, 59-74.
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.
Ponce Campuzano, Juan Carlos, Kenny, Elise P., Edirisinghe, Jeremy, Bu, Yitong T., Roberts, Anthony, Wegener, Margaret, Matthews, Kelly and McIntyre, Tim (2016). Dynamic, Interactive Simulations for Enhancing Student Learning. Australian Conference on Science and Mathematics Education, Brisbane, QLD Australia, 28-29 September 2016.
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.
Ponce Campuzano, Juan Carlos and Rivera Figueroa, Antonio (2011). Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected. 8th Southern Right Delta Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics, Rotorua, New Zealand, 27 November - 2 December 2011. Rotorua, New Zealand: University of Canterbury.
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.