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Dissertação
A geometria fractal na construção de figuras planas envolvendo progressões geométricas
This research aims to demonstrate the effectiveness of fractal geometry in constructing planar figures with geometric progressions, seeking to enhance the understanding and teaching of these mathematical concepts to 2nd-year high school students. To achieve this objective, pedagogical methods int...
Autor principal: | Araújo Sobrinho, Jairomar de |
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Grau: | Dissertação |
Idioma: | pt_BR |
Publicado em: |
Universidade Federal do Tocantins
2024
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Assuntos: | |
Acesso em linha: |
http://hdl.handle.net/11612/7158 |
Resumo: |
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This research aims to demonstrate the effectiveness of fractal geometry in constructing planar
figures with geometric progressions, seeking to enhance the understanding and teaching of these
mathematical concepts to 2nd-year high school students. To achieve this objective, pedagogical
methods integrating fractal geometry were developed and implemented, presenting concepts in
a visual and intuitive manner. The study also analyzes the impact of this approach on students’
academic performance in Mathematics, with a special focus on understanding geometric pro-
gressions. The effectiveness of the instructional sequence was assessed through empirical data
collection on student performance and perception. Results indicate that using fractal geome-
try facilitates the visualization of mathematical concepts, increases student engagement, and
improves understanding of geometric progressions. The instructional sequence demonstrated
significant potential to contribute to the development of fundamental mathematical concepts and
to stimulate students’ curiosity and interest in Mathematics. Ultimately, the research highlighted
that even basic mathematical content holds substantial relevance in everyday life and can be
taught in a visual and interactive way. |