数学与应用数学-斐波那契数列的教育价值研究论文VIP免费

斐波那契数列的教育价值研究摘要 数学文化融入数学教学是数学课程教学的基本理念之一，历史名题及其解析扮演着重要角色。斐波那契数列是一个有着悠久历史和广泛应用的数列，本文主要采用资料分析法和案例研究法对斐波那契数列在数学教学中的教育价值进行研究。研究中，首先,给出研究的理论基础，对斐波那契数列的历史及我们生活中的斐波那契数列给予介绍，对中小学数学中斐波那契数列的教学进行了研究。斐波那契数列在中学以其为背景的试题和竞赛题层出不穷,深受广大出题者的青睐,对此举例做了分析；接着，以高等代数课程为例,研究斐波那契数列呈现形式及其通项公式的获得方式，展开其教育价值的探讨。最后，对以斐波那契数列为“题根”的数列问题进行解题方法的分析。本文仅给出了的一些初浅看法，如何发挥斐波那契数列的激发学生对数学的热情,深化对数学本质的理解,领会数学家思考问题时的缜密逻辑和持之以恒的创新精神的作用，还有许多工作可做。关键词 斐波那契数列,教学价值,数学文化1A study on the Educational value of Fibonacci SeriesAbstract The integration of Mathematics culture into Mathematics teaching is one of the basic ideas of Mathematics course teaching, historical nomenclature and its analysis play an important role. Fibonacci sequence is a series with a long history and wide application.in this paper, the educational value of Fibonacci series in mathematics teaching is studied by using date analysis and case study. In the study, the theoretical basis of teaching research is given, and the history of Fibonacci sequence and the Fibonacci sequence in our life are introduced, this paper studies the teaching of Fibonacci series in mathematics in primary and secondary schools. Fibonacci series of questions and competition questions in the middle school background emerge in endlessly, was favored by the vast number of subjects. First of all, an example is given to analyze this; then taking the higher algebra course as an example, we start with the general term form...