Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR

Dennis Alberto Espejo-Peña; Alejandro Isaías Flores-Osorio

doi:10.1007/978-3-031-13588-0_76

Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR

Dennis Alberto Espejo-Peña, Alejandro Isaías Flores-Osorio

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

This research focuses on the modeling of bounded surfaces using parameterizations based on cylindrical coordinates, which is one of the topics of the multivariable calculus course, where it seeks to develop modeling and problem-solving skills in real context, being essential for this to develop geometric skills that allow sketching graphs in space. Therefore, the main objective of the research was to present a modeling case of a sludge decanting tank, through cylindrical coordinates, using the GeoGebra software in its Suite version for mobile devices, in addition to interacting with augmented reality (GeoGebra AR). With this, a didactic, dynamic, and iterative form is proposed where the inter-action between mathematics, engineering and technology is evidenced, and seeks to improve the teaching-learning experience.

Original language	English
Title of host publication	Lecture Notes on Data Engineering and Communications Technologies
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	870-879
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-031-13588-0_76
State	Published - 2023
Externally published	Yes

Publication series

Name	Lecture Notes on Data Engineering and Communications Technologies
Volume	146
ISSN (Print)	2367-4512
ISSN (Electronic)	2367-4520

Keywords

Cylindrical coordinates
GeoGebra AR
Modeling of bounded surfaces
Settler tank

Access to Document

10.1007/978-3-031-13588-0_76

Cite this

Espejo-Peña, D. A., & Flores-Osorio, A. I. (2023). Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR. In Lecture Notes on Data Engineering and Communications Technologies (pp. 870-879). (Lecture Notes on Data Engineering and Communications Technologies; Vol. 146). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-13588-0_76

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Espejo-Peña, DA & Flores-Osorio, AI 2023, Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR. in Lecture Notes on Data Engineering and Communications Technologies. Lecture Notes on Data Engineering and Communications Technologies, vol. 146, Springer Science and Business Media Deutschland GmbH, pp. 870-879. https://doi.org/10.1007/978-3-031-13588-0_76

Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR. / Espejo-Peña, Dennis Alberto; Flores-Osorio, Alejandro Isaías.
Lecture Notes on Data Engineering and Communications Technologies. Springer Science and Business Media Deutschland GmbH, 2023. p. 870-879 (Lecture Notes on Data Engineering and Communications Technologies; Vol. 146).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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N2 - This research focuses on the modeling of bounded surfaces using parameterizations based on cylindrical coordinates, which is one of the topics of the multivariable calculus course, where it seeks to develop modeling and problem-solving skills in real context, being essential for this to develop geometric skills that allow sketching graphs in space. Therefore, the main objective of the research was to present a modeling case of a sludge decanting tank, through cylindrical coordinates, using the GeoGebra software in its Suite version for mobile devices, in addition to interacting with augmented reality (GeoGebra AR). With this, a didactic, dynamic, and iterative form is proposed where the inter-action between mathematics, engineering and technology is evidenced, and seeks to improve the teaching-learning experience.

AB - This research focuses on the modeling of bounded surfaces using parameterizations based on cylindrical coordinates, which is one of the topics of the multivariable calculus course, where it seeks to develop modeling and problem-solving skills in real context, being essential for this to develop geometric skills that allow sketching graphs in space. Therefore, the main objective of the research was to present a modeling case of a sludge decanting tank, through cylindrical coordinates, using the GeoGebra software in its Suite version for mobile devices, in addition to interacting with augmented reality (GeoGebra AR). With this, a didactic, dynamic, and iterative form is proposed where the inter-action between mathematics, engineering and technology is evidenced, and seeks to improve the teaching-learning experience.

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KW - Modeling of bounded surfaces

KW - Settler tank

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Modeling Bounded Surfaces Using Cylindrical Coordinates Using GeoGebra AR

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