一些基本组合性质和斐波那契数

F. R. Alves, Renata Teófilo de Sousa
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引用次数: 0

摘要

总的来说,在数学历史教科书中,我们面临着由于对象征性的斐波那契数列的好奇而引起的讨论,斐波那契数列的普及是随着不朽兔子的繁殖模型的提出而发生的。另一方面,在对小学数学中某些科目的多种方法和讨论的比较中,在本工作中,我们强调组合解释,在数学教师的特征和基本推理的支持下,可以概括和形式化一些非常直观的组成部分。特别地,这项工作处理从平铺和整数分解的概念派生的属性,取决于棋盘,将对应于斐波那契数列的数字。我们带来了一场理论讨论,得到了该领域研究的知名人士的支持。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Elementary Combinatory Properties and Fibonacci Numbers
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.
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