POTENTIAL OF TECHNOLOGY TO DEEPEN UNDERSTANDING OF THE HIDDEN COMPLEXITY OF THE GOLDEN RATIO: FROM INVESTIGATIONS WITH POLYGONS TO GENERALIZED GOLDEN RECTANGLES

被引：0
作者：
Abramovich, Sergei [1 ]
Freiman, Viktor [2 ]
机构：
[1] SUNT, Dept Elementary Educ, Potsdam, NY 13676 USA
[2] Univ Moncton, Fac Sci Educ, Campus Moncton, Moncton, NB, Canada
来源：
SYMMETRY-CULTURE AND SCIENCE | 2022年 / 33卷 / 03期
关键词：
Golden Ratio; Golden rectangle; Fibonacci sequence; computer experiments; technology; learning; mathematics education;
D O I：
10.26830/symmetry_2022_3_233
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An increasing role of mathematical experiments in the development of deeper understanding is still underestimated in the context of education. In this paper, we highlight a potential of technology, digital and physical to enrich students' investigation of the Golden Ratio. Moving from construction and experimentation with ratios in polygons to exploration of Fibonacci-like sequences, learners can get an intuitive sense of hidden relationships prior to moving to formal ways of proving.
引用
收藏
页码：233 / 247
页数：15
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