Juan Carlos Ponce Campuzano
Independent Mathematics Educator
Research & SoTL
Career History
Juan Carlos Ponce Campuzano
Background
Bachelor of Science: Mathematics
Autonomous University of the State of Mexico - Mexico
Thesis titled: Continuum theory - Whitney reversible strong sequential properties
Masters: Mathematics Education
Cinvestav - Mexico
Thesis titled: A case study with high school teachers on the role played by the Fundamental Theorem of Calculus.
PhD: Mathematics Education
Cinvestav - Mexico
Thesis titled: The Fundamental Theorem of Calculus: a study about some concepts, formulas and methods related to their application.
Research and SoTL
My applied research interests include:
- the historical development of mathematical concepts and how this can be used for teaching and learning in university mathematics; and
- the effectiveness of interactive mathematics software for enhancing students’ mathematical thinking, understanding and confidence.
Examples at UQ in my role as a Learning designer
Collaboration with academics
Science and Mathematics Simulations (SciMS) project.
Website: https://teaching.smp.uq.edu.au/scims
- Prof. Tim McIntyre
- Prof. Tony Roberts
- Dr. Margaret Wegener
- A/Prof. Kelly Matthews
- Dr. Elise Kenny
- Isaac Lenton
- 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.
- 13th Asia-Pacific Physics Conference in conjunction with the 22nd Australian Institute of Physics Congress, Brisbane, Australia. 4-9 December 2016.
2016
Examples at UQ in my role as a Learning designer
Collaboration with academics
Science and Mathematics Simulations (SciMS) project.
Website: https://teaching.smp.uq.edu.au/scims
- Prof. Tim McIntyre
- Prof. Tony Roberts
- Dr. Margaret Wegener
- A/Prof. Kelly Matthews
- Dr. Elise Kenny
- Isaac Lenton
Included in the
2017
Examples at UQ in my role as a Learning designer
Collaboration with academics & students
Science and Mathematics Simulations (SciMS) project.
- Prof. Tim McIntyre
- Prof. Tony Roberts
- Dr. Margaret Wegener
- A/Prof. Kelly Matthews
- Dr. Elise Kenny
- Yitong T. Bu
- Jeremy Edirisinghe
2016
Australian Conference on Science and Mathematics Education,
Brisbane, Australia. September 2016.
Examples at UQ in my role as a Learning designer
Collaboration with academics
SCIE1000/1100 Online Modules for Support and Enrichment
Course website: https://teaching.smp.uq.edu.au/SCIE1000
- Prof. Tim McIntyre
- Dr Sara Davies
- Dr. Adam Piggott
2019
Included in the
Examples at UQ in my role as a Learning designer
Collaboration with academics
SCIE1000 in 2017
- Prof. Peter Adams
- A/Prof. Kelly Matthews
- Prof. John Rice - The University of Sydney
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
Application and report of an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, based on Galileo’s experiments designed to investigate the motion of falling bodies, and his geometrical explanation of his results, via simple dynamic geometric applets.
Examples at UQ in my role as a Learning designer
Collaboration with academics
UQ Extend/edX/LearnX, 2018-2023
- Dr. Poh Wah Hillock
- Prof. Anthony Roberts
- Michael Jennings
- Wenbo Li
- A/Prof. Cecilia Gonzalez Tokman
Work across four first-year courses (MATH1040, MATH1050, MATH1051, MATH1052) on the Digital Learning Uplift (DLU) to enhance the student experience through engagement in course (re)design and development.
Examples at UQ in my role as a Learning designer
Collaboration with academics
UQ Extend/edX/LearnX, 2018-2023
- Hillock, P. & Ponce Campuzano, J. C. (2021). Course redesign for flexible delivery and increased engagement in first year mathematics. 13th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. Auckland, New Zealand.
- Dr. Poh Wah Hillock
- Prof. Anthony Roberts
- Michael Jennings
- Wenbo Li
- A/Prof. Cecilia Gonzalez Tokman
Work across four first-year courses (MATH1040, MATH1050, MATH1051, MATH1052) on the Digital Learning Uplift (DLU) to enhance the student experience through engagement in course (re)design and development.
Examples at UQ in my role as a Learning designer
Collaboration with academics & students
Live Scripts: Interactive activities for
learning mathematics and MATLAB
- Dr. Poh Wah Hillock
- Dr. Sam Kault
- Wenbo Li
- Kyle Clunies-Ross
- Thomas Reay
- Marcus Flook
- Dylan Cowley
- Marcus Flook
- Christina Tang-Fujiwara
- Andrew Mengene
- Liam Timms
- Emma Comino
- Montana Wickens
2020
Align the programming component with the course content
Examples at UQ in my role as a Tutor & Lecturer
MATH1040: Mathematical Foundations - Tutor
MATH1050: Mathematical Foundations II - Tutor
MATH3401: Complex Analysis - Tutor and Super tutor
2014-2021
f(z)=n=0∑∞an(z−z0)n+n=1∑∞(z−z0)nbn,
f(z)=\displaystyle\sum_{n=0}^{\infty} a_n(z-z_0)^n+\displaystyle\sum_{n=1}^{\infty}\frac{b_n}{(z-z_0)^n},
R1<∣z−z0∣<R2.
R_1 <|z-z_0|< R_2.
an=2πi1∮C(z−z0)n+1f(z)dz(n=0,1,2,…)
a_n=\frac{1}{2\pi i}\displaystyle \oint_C \frac{f(z)dz}{(z-z_0)^{n+1}}\quad (n=0,1,2,\ldots)
bn=2πi1∮C(z−z0)−n+1f(z)dz(n=1,2,…)
b_n=\frac{1}{2\pi i}\displaystyle \oint_C \frac{f(z)dz}{(z-z_0)^{-n+1}}\quad (n=1,2,\ldots)
f(z)=exp(z1)
Examples at UQ in my role as a Tutor & Lecturer
MATH3401: Complex Analysis - Tutor and Super tutor
2014-2021
Domain coloring for representing complex functions
Examples at UQ in my role as a Tutor & Lecturer
Domain coloring: Online open-source tools
- 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.
- 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.
- 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.
2018
Examples at UQ in my role as a Tutor & Lecturer
Online interactive textbook
2019
Examples at UQ in my role as a Tutor & Lecturer
MATH2001/7000: Calculus & Linear Algebra II
Lecturer. Notes: dynamicmath.xyz/math2001/
2022-2023
MATH1052 Multivariate Calculus & ODEs
Course coordinator/Lecturer. Notes: dynamicmath.xyz/math1052/
MATH2400/7400: Mathematical Analysis
Course coordinator/Lecturer. Notes: dynamicmath.xyz/math2400/
∫abF(r)⋅r′(t) dt
\displaystyle \int_a^b \mathbf F\left(\mathbf r\right)\cdot \mathbf r'(t)~dt
Examples at UQ in my role as a Tutor & Lecturer
MATH2001/7000: Calculus & Linear Algebra II
2022-2023
Collaboration with Bradley Welch, Bachelor of Secondary Teaching (Mathematics), UQ.
Co-authored paper on linear algebra: Recently published paper in the International Journal of Mathematics Education, Science and Technology.
Applying matrix diagonalisation
Collaborators Overseas
2021:
Dr Carolina Guerrero Ortiz, Pontificia Universidad Católica de Valparaíso (Chile): Online teaching for the course Data modelling and interpretation using GeoGebra classroom (2021)
Since 2014:
Dr Miguel Ángel Maldonado Aguilar, Universidad de Zacatecas (Mexico): Collaboration on the research on mathematics and mathematics education and co-authored of online book: An Invitation to Topology: https://topologia-general.github.io/
2017-2018:
Dr Luis R. Pino-Fan, Universidad de Los Lagos (Spain), collaboration on mathematics education research.
Collaborators Overseas
In Spaish: https://topologia-general.github.io/
Conferences, Seminars & Workshops
- Queensland Mathematics Summer School UQ (13 Jan 2023)
- AUSTMS/AMSI Teaching Seminar (25 Aug 2022)
- Visualising complex functions: Enhanced phase portraits (in collaboration with Joseph Grotowski)
- Herenga Delta (22-25 Nov 2021)
- FYiMaths Forum (8-9 Jul 2021)
- FYIMaths (16 Dec 2020)
- Mathematical Educational Software Interest Group (11 Dec 2020)
Conferences, Seminar & Workshops (Spanish)
- 6to Congreso Internacional de Matemática Educativa (7 Sep 2020)
- V Jornadas de GeoGebra Valencia (19 Nov 2021)
- Clases de Objetos y Colores Dinámicos (11 Nov 2020)
- Curvas Misteriosas (29 Oct 2020)
- Representación de funciones complejas en GeoGebra. (20 Dec 2019)
Thanks
Research & SoTL Career History Juan Carlos Ponce Campuzano
Research/SoTL career history
By Juan Carlos Ponce Campuzano
Research/SoTL career history
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