Razão áurea: como motivação ao estudo de conteúdos matemáticos
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Data
2014-11-19
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Universidade Federal de Goiás
Resumo
This work goal to show a possible relationship between the Golden Ratio with nature,
animals, architecture, music and also as a motivation to study mathematics content,
such as: ratio, proportion and arithmetic average, making the teaching learning more
enjoyable. The realization of it proceeded from the literature and field research. The
literature describes the history of the Golden Mean and the Fibonacci ratio with the
Golden Ratio. The Fibonacci sequence was known for the problem of pairs of rabbits
(coniculorum Paia) that is found in the book Liber Abacci (Liber Abaci). Also
highlights the relationship between the golden ratio and the nature, proposing that it
can be widely used in daily life of the student, promoting a differentiated learning.
The field research was the application of the proposed activities presented
throughout the study in a rural school of the Federal District, with the purpose to
promote the recognition that it is possible to understand the relationship between
math and everyday living. Initially the diagnosis 1 (ATTACHMENT A), containing
socio-cultural issues and also the diagnosis 2 (ATTACHMENT B) containing specific
questions of reason, proportion, arithmetic mean and golden ratio was applied. After
applying the diagnosis twelve o'clock classes were taught using contextualized and
interdisciplinary methodologies where activities (ATTACHMENT C, D, E, F) were
applied seeking to respond to the objectives of this study. In closing the interventions
took place applying the same initial diagnosis in order to determine whether
interventions have provided new results. In analyzing the results of the second
application of diagnosis was realized a significant increase in students' understanding
about the content worked. The results show that when there is an understanding of
the relationship between mathematics learning and everyday life, students can define
new knowledge and relate school learning and their daily lives, which facilitates
learning.
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Palavras-chave
Número de ouro, Razão áurea, Sequência de fibonacci, Number of gold, Golden ratio, Fibonacci sequence
Citação
SILVA, Renato Rodrigues. Razão áurea: como motivação ao estudo de conteúdos matemáticos. 2014. 114 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2014.