Teaching Recurrent Sequences in Brazil Using Historical Facts and Graphical Illustrations

Autor/inn/en	Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado Cruz; Vieira, Renata Passos Machado; Mangueira, Milena Carolina dos Santos
Titel	Teaching Recurrent Sequences in Brazil Using Historical Facts and Graphical Illustrations
Quelle	In: Acta Didactica Napocensia, 13 (2020) 1, S.87-104 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2065-1430
Schlagwörter	Teaching Methods; Mathematics Instruction; History; Mathematical Concepts; Mathematical Formulas; Equations (Mathematics); Difficulty Level; International Cooperation; Researchers; Foreign Countries; Graphs; Illustrations; Brazil; Portugal + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Geschichte; Geschichtsdarstellung; Mathematische Formel; Equations; Mathematics; Gleichungslehre; Schwierigkeitsgrad; Internationale Kooperation; Internationale Zusammenarbeit; Researcher; Forscher; Ausland; Grafische Darstellung; Bildliche Darstellung; Brasilien
Abstract	The present work presents a proposal for study and investigation, in the context of the teaching of Mathematics, through the history of linear and recurrent 2nd order sequences, indicated by: Fibonacci, Lucas, Pell, Jacobsthal, Leonardo, Oresme, Mersenne, Padovan, Perrin and Narayana. Undoubtedly, starting from the Fibonacci sequence, representing the most popular in the referred scenario of numerical sequences, it was possible to notice the emergence of other sequences. In some cases, being derived from Fibonacci, in others, changing the order of the sequence, we thus have the historical study, with the use of mathematical rigor. Besides, their respective recurrence formulas and characteristic equations are checked, observing their roots and the relationship with the number of gold, silver, bronze and others. The results indicated represent an example of international research cooperation involving researchers from Brazil and Portugal. (As Provided).
Anmerkungen	Babes-Bolyai University. Kogainiceanu 1, Cluj-Napoca, 400084 Romania. e-mail: submit_adn@yahoo.com; Web site: http://adn.teaching.ro
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01