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ERIC Number: EJ1402260
Record Type: Journal
Publication Date: 2023
Pages: 16
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: EISSN-2065-1430
Recurrent and Linear Sequences: A Threedimensional Visualization with Support of GeoGebra Software
Alves, Francisco Régis Vieira; Pinheiro, Carla Patrícia Souza Rodrigues; De Sousa, Renata Teófilo; Catarino, Paula Maria Machado Cruz
Acta Didactica Napocensia, v16 n1 p140-156 2023
This article is an excerpt from a master's thesis developed in Brazil, in which we approach recurrent and linear sequences, given some intriguing particularities in their definitions and the scarcity of discussion of this topic in the literature of the History of Mathematics, especially with regard to its geometric representation. Thus, we aim to present the identities of Fibonacci, Lucas, Jacobsthal and Padovan in a three-dimensional visualization with the contribution of GeoGebra software. The research methodology chosen was bibliographical, exploratory in nature, where we have theoretical support in works such as Oliveira and Alves (2019), Silva (2017), Souza and Alves (2018), Vieira and Alves (2020). This research brings as results a set of geometric constructions of the identities of the proposed sequences, in three-dimensional perspective, being a support for future works developed around this theme. GeoGebra was essential in the process of constructing and visualizing the sequences, as it provided strategies for understanding the recurrence relations and the properties of the Fibonacci, Lucas, Jacobsthal and Padovan sequences, through the behavior of the visual representations of these identities.
Babes-Bolyai University. Kogainiceanu 1, Cluj-Napoca, 400084 Romania. e-mail: submit_adn@yahoo.com; Web site: http://adn.teaching.ro
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A