Journal of Instructional Mathematics
Vol. 4 No. 1 (2023): Mathematical Learning: Strategies, Factors, and Challenges

Some Elementary Combinatory Properties and Fibonacci Numbers

Alves, Francisco Régis Vieira (Unknown)
Sousa, Renata Teófilo de (Unknown)



Article Info

Publish Date
26 May 2023

Abstract

In general, in the midst of History of Mathematics textbooks, we are faced with a discussion due to curiosity about the emblematic Fibonacci Sequence, whose popularization occurred with the proposition of the reproduction model of immortal rabbits. On the other hand, in the comparison of the multiple approaches and discussions of certain subjects in Elementary Mathematics, in the present work, we highlight combinatorial interpretations that, with the support of a characteristic and fundamental reasoning for the mathematics teacher, can be generalized and formalize some eminently intuitive components. In particular, this work deals with properties derived from the notion of tiling and decomposition of an integer that, depending on the board, will correspond to the numbers of the Fibonacci Sequence. We bring a theoretical discussion supported by great names that research in this area.

Copyrights © 2023






Journal Info

Abbrev

jim

Publisher

Subject

Education Mathematics

Description

JIM is a scientific journal containing and disseminating research findings, in-depth study, and innovative ideas in the field of education. Teacher and lecturer innovation in educational sector development can make a positive contribution to schools and educational institutions. JIM is published ...