Recognition and Visualization of Curves in E3: A Didactic Proposal with Computational Support and Student-Constructed Examples

Ipanaqué-Chero R.; Purizaca-Pazo J.N.; Tume-Chunga A.T.; Correa-Hunter J.K.; Ipanaqué-Juárez J.H.; Suárez-Carreño T. · Communications in Computer and Information Science (2026) · DOI: 10.1007/978-3-032-16761-3_24

Resumen

This paper presents a didactic strategy for teaching the concept of curves in three-dimensional Euclidean space, supported by symbolic and graphical tools from Wolfram Mathematica. Based on the formal mathematical definition, a collaborative activity was designed where students were challenged to propose subsets of E3 and determine whether they qualify as curves according to the criteria of smooth parametrization and regularity. Selected examples are analyzed and visualized, demonstrating how this active, technology-assisted methodology fosters conceptual understanding and engagement. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.

Instituciones: Universidad Nacional de Piura