The effect of teaching the subject of Fibonacci numbers and golden ratio through the history of mathematics

The Effect of History of Mathematics Activities on the Development of Quantitative Reasoning Skill of Seventh-Grade Students

“…At the end of the study, it was seen that mathematics history of mathematics activities contributed positively to the quantitative reasoning skill development of 7 th grade students. In line with this study, in many studies in the relevant literature (Awosanya, 2001;Başıbüyük, 2012;Bayam, 2012;Bütüner, 2016;Ersoy, 2015;Görür, 2016;İdikut, 2007;Kaygın et al, 2011;Lim, 2011;Lim & Chapman, 2015;Özcan, 2014;Wee Leng, 2006), it has been concluded that HoM activities have positive effects on students' academic achievement. HoM should be also used in the process of mathematics learning.…”

Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum

“…Replacing , , and in (11) with √ vk , vk , and 5/6, respectively, yields (15). Substituting A, , and in (14) with √ vk , vk , and 5/6, respectively, produces (16). Thus, Theorem 1 results.…”

“…The golden ratio, denoted by , is an irrational number given by = (1 + √ 5)/2 [1]. The paper by Ackermann [2] may likely be the earliest literature on the golden ratio in a mathematics journal in English in 1895, but it attracted and has attracted the interest of scientists and engineers in various fields of sciences and engineering, ranging from chemistry to computer science; see, for example, [1], Benassi [3], Putz [4], Orita et al [5], Perez [6], Hassaballah et al [7], Kellerhals [8], Henein et al [9], Hurtley [10], Coldea et al [11], Affleck [12], Jones et al [13], Kaygn et al [14], Cervantes et al [15], Chebotarev [16], Benavoli et al [17], Manikantan et al [18], Assimakis et al [19], Good [20], Davis and Jahnke [21], Totland [22], Moufarrège [23], Boeyens [24], Iñiguez et al [25], Andrews and Zhang [26], Hofri and Rosberg [27], Itai and Rosberg [28], Cassandras and Julka [29], and Tanackov et al [30], just to mention a few.…”

Essay on Kolmogorov Law of Minus 5 over 3 Viewed with Golden Ratio

“…Arrange three points A, B, and C, there such that the ratio below AC CB = AB AC (2) equals to . Then, we say that the straight line is cut in extreme and mean ratio ( [5], Ackermann [20], Kaygn et al [21]). There are various ways to synthesize the number .…”