The University of Queensland

Applying matrix diagonalisation in the classroom with GeoGebra: parametrising the intersection of a sphere and plane

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

Dynamic visualization of line integrals of vector fields: a didactic proposal

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

Vito Volterra's construction of a nonconstant function with a bounded, non-Riemann integrable derivative

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

Invitación a la Topología General

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.

Complex analysis: a visual and interactive introduction

Ponce Campuzano, Juan Carlos (2019). Complex analysis: a visual and interactive introduction. Australia: Juan Carlos Ponce Campuzano.

Applying matrix diagonalisation in the classroom with GeoGebra: parametrising the intersection of a sphere and plane

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

The hidden beauty of complex numbers

Ponce Campuzano, Juan Carlos (2023). The hidden beauty of complex numbers. Mathematics Teacher, 116 (4) 11, 308-308. doi: 10.5951/mtlt.2021.0329

Tracing closed curves with epicycles: a fun application of the Discrete Fourier Transform

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.

Trigonometric interpolation using the Discrete Fourier Transform

Ponce Campuzano, Juan Carlos (2022). Trigonometric interpolation using the Discrete Fourier Transform. North American GeoGebra Journal, 10 (1), 1-13.

On coloring different objects of the same class

Ponce Campuzano, Juan Carlos (2021). On coloring different objects of the same class. North American GeoGebra Journal, 9 (1) 6, 31-35.

Domain colouring for visualising and exploring the beauty of complex functions

Ponce Campuzano, Juan Carlos (2021). Domain colouring for visualising and exploring the beauty of complex functions. Australian Mathematical Society. Gazette, 48 (4), 162-170.

El uso de p5.js para aprender a programar: figuras y transformaciones

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.

Una introducción al método de dominio colorado con GeoGebra para la visualización y estudio de funciones complejas

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

The use of phase portraits to visualize and investigate isolated singular points of complex functions

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

Representación de funciones complejas con GeoGebra usando el método de dominio coloreado

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.

Conics as envelopes of families of plane curves

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

Dynamic visualization of line integrals of vector fields: a didactic proposal

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

Algunas tareaspara evaluar la comprensión sobre el objeto matemático antiderivada

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).

On the use of history of mathematics: an introduction to Galileo's study of free fall motion

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

Vito Volterra's construction of a nonconstant function with a bounded, non-Riemann integrable derivative

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

The fundamental theorem of calculus within a geometric context based on Barrow's work

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

Developing prospective mathematics teachers in Mexico: a lesson on the relationship between integration and differentiation

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

Isaac Barrow y su versión geométrica del Teorema Fundamental del Cálculo

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.

Sulle funzioni derivate e le condizioni di esistenza di primitive

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.

Derivative, maxima and minima in a graphical context

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

A discussion on the substitution method for trigonometric rational functions

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.

Unexpected results using computer algebraic systems for computing antiderivatives

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.

Un análisis del uso de la tecnología para el cálculo de primitivas

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.

Casos en los que no es aplicable la fórmula int_a^b f(x) dx = F(b)-F(a)

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.

Open-source online tools to visualise and explore complex functions with domain colouring

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:

Course redesign for flexible delivery and increased engagement

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.

Using interactive simulations to enhance student engagement in mathematics and physics

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.

Dynamic, Interactive Simulations for Enhancing Student Learning

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.

Active learning using interactive simulations

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.

Dynamic, interactive simulations for enhancing student learning

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.

Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected

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.

ABC of Mathematics: an interactive experience

Ponce Campuzano, Juan Carlos (2018). ABC of Mathematics: an interactive experience. Brisbane, Australia: Australian eBook Publisher.

A geometrical approach to the concepts of speed and acceleration

Rice, John, Matthews, Kelly and Ponce Campuzano, Juan (2017). A geometrical approach to the concepts of speed and acceleration. Brisbane, QLD, Australia: Self-published.