Exploring Surfaces of Revolution through GeoGebra: A Qualitative Approach to Calculus Teaching

Authors

Abstract

This article presents a didactic approach to teaching surfaces of revolution in the Calculus of One Variable discipline, with an emphasis on the use of GeoGebra software as a visualization and graphical exploration tool. Visualization plays a fundamental role in understanding abstract mathematical concepts, and the use of interactive technologies can facilitate this process. The study includes essential mathematical definitions, a practical approach with proposed activities for using Geogebra and a discussion about its contribution to the teaching and learning of surfaces of revolution.

Author Biographies

Francisco Regis Vieira Alves, IFCE

He holds a Bachelor's Degree in Mathematics from the Federal University of Ceará (1998), a Bachelor's Degree in Mathematics from the Federal University of Ceará (1997), a Master's Degree in Pure Mathematics from the Federal University of Ceará (2001) and a Master's Degree in Education, with an emphasis in Mathematics Education, from the Federal University of Ceará (2002). Doctorate with an emphasis on Teaching Mathematics (UFC - 2011). He is currently a TENURED Professor at the Federal Institute of Education, Science and Technology of the state of Ceará / IFCE - 40h / a with DE, of the Bachelor's Degree in Mathematics and CNPq Research Productivity Scholarship - Level 2 (2020 - 2026). Professor of the Doctorate in Association in Graduate Network in Teaching (RENOEN) and of the Academic Master's Degree in Science and Mathematics Teaching of the Professional Master's Degree in Technological Professional Education PROEPT-IFCE. He has experience in Mathematics, working primarily on the following topics: Mathematics Didactics, History of Mathematics, Real Analysis, and Technologies Applied to Mathematics Teaching at Higher Education Level. He also works on the Professional Master's Program in Science and Mathematics Teaching (ENCIMA) - UFC (2013-2021). He is an external evaluator of research projects for the Doctorate (professional) program in Science and Technology Didactics at the University of Trás-os-Montes (UTAD) - Portugal.

Helena Maria Barros de Campos, rás-os-Montes e Alto Douro University (UTAD)

Helena Campos holds a degree in Pure Mathematics and another one in Mathematical Education, both from Coimbra University.
After being a mathematics teacher of Basic and Secondary Education for a few years, in 1995 she joined the Trás-os-Montes e Alto Douro University (UTAD).
She obtained a master’s degree in Mathematics Education from Minho University (Braga) in the year 2000.
Her PhD in Mathematics, with a Specialisation in Topology and Geometry, was obtained from UNED in Madrid (Spain) in 2008.
She was a Research member of The Research Centre of Mathematics - CM-UTAD - (UTAD) from July 2007 to October 2015.
Since December 2015 she has been a Research member of the Research Centre of Didactics and Technology in the Education of Trainers at CIDTFF (Aveiro University).
She is also an Assistant Professor in the Mathematics Department at UTAD.
Her research interests include the fields: Didactics of Mathematics, mainly in the Didactics of Geometry, Dynamic Geometry Environments in Basic and Secondary Education and Mathematical Creativity in Geometric Reasoning Processes; Teaching and learning Mathematics in the first years of school (Pre-School and Basic Education); Teacher Training; and Geometric connections with Theory of numbers.

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Published

2025-10-31

How to Cite

Pimentel Paiva, A. C., Vieira Alves, F. R., & Barros de Campos, H. M. . (2025). Exploring Surfaces of Revolution through GeoGebra: A Qualitative Approach to Calculus Teaching. Didactica Danubiensis, 5(1), 161–172. Retrieved from https://dj.univ-danubius.ro/index.php/DD/article/view/3472

Issue

Vol. 5 No. 1 (2025)

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Articles

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